NTSE SAT Solved Paper 2013

47
I l ' A I ENGLISH -HINDI 13-151 Code SCHOLASTIC APTITUDE TEST (For Students of Class X) Time:90 Minutes Max. Marks: I 00 INSTRUCTIONS TO CANDIDATES: Read the following instructions carefully before you open the question booklet. 1. Answers are to be given on a separate answer sheet. 2. Write your eight-digit Roll Number as allotted to you in the admission card very clearly on the test-booklet and darken the appropriate circles on the answer sheet as per instructions given. 3. Write down and darken Booklet Number in the appropriate circles on the answer sheet as per instructions given. 4. There are I 00 questions in this test. All are compulsory. The question numbers I to 40 belong to Sciences, 41 to 60 pertain to Mathematics and 61 to I 00 are on Social Science subjects. 5. Please follow the instructions given on the answer sheet for marking the answers. 6. If you do not know the answer to any question, do not waste time on it and pass on to the next one. Time permitting, you can come back to the questions, which you have left in the first instance and attempt them. 7. Since the time allotted for this question paper is very limited you should make the best use of it by not spending too much time on any one question. 8. Rough work can be done anywhere in the booklet but not on the answer sheet/loose paper. 9. Every correct answer will be awarded one mark. 10. Please return the Answer sheet only to the invigilator after the test. II. English version of the question paper will be considered as final in case of any dispute arising out of variation in translated version. PLEASE TURN OVER THE PAGE AND START YOUR WORK Roll No. "([('l '!Pill I?.!? 513 oa'll Booklet Number Willr I 2152038 I ...TJit-r.u,;;"n;;:-1 ( .,.;a_n X -11; fluull.hif -11; ) : 90 fl!;g : 100 w-r f.ll'! fmit <fir I. om: """' 3«'1'! am---q;rq; # -0 i'l 2. 3T'Rl al!O-at<tl'f q;( mot 'll'tR fif; 3lf1l$ 'l'l 'R f<:.<lT lJ'll i, oiR am---q;rq; 'R oiR f<;<l Tiffil' 'f;1"ffi 'l>tl 3. am---q;rq; ii l1lf.i ii "!i1!m ft:lful!;l 4. Wl\ll ii I 00 W'! i'l <i>i\ 3lf.!qJ<i i' I 1JV'I I it 40 41 it 60 7ffbrn oiR 61 it !00 \ll41f"'<t 'R 'R 311•-l!fu! il s. fAt< "Om:-'l'l'li 'R R>l tmif '>lA it "" 6. 311'1 1JV'I "" om: fi i it '3"!1 'R WI'! 'I oiR wM 1JV'I 'R 'lfi:: OfR ii WI'! m it f,;r'f m 31J1l"'\ %'! .m, f<:.<lT 'l1' "3'1 'R 'lllffi "3m: 7. W'! 1f;l * fWI f.l'llful '\lll<! mfi:l<f i. :rcrWT oiR %<i\ 1JV'I 'R '\lll<! 'I WJw\ I s. "N <fi'T'i ii q,1 .n "ll'li(!l t am"--q;rq; I 3«'1'! q;pr.r 'R 'l"li11 9. mT om: "" """' 3i'f> 1RR f<l>'<r "llll!lll I 0. 1fita_n il; "3m --q;rq; "t\ f.rit8_Pi> II. f<m<ul ii oRR it '03 %<i\ >fr "ifil fio.lfll # W'! -'l'l * 3ill;;ft f<m<ul liRT "'Tl(llT I QHfeoit a:ftr :w:r-rr m ct.'ll\itit I NCERT 20\3 The copyright of the contents of this bookld rests with the and no part of it should be used by anybody in any manner whatsoever without the prior permission of the NCERT. The items are prepared on best effort basis. In case of any dispute the opinion of the experts appointed by NCERT will be final. 5/47 TAT/13-HINDh'iAT -1A www.examrace.com

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Transcript of NTSE SAT Solved Paper 2013

Page 1: NTSE SAT Solved Paper 2013

I l

'

A

I ENGLISH -HINDI 13-151 Code

SCHOLASTIC APTITUDE TEST

(For Students of Class X)

Time:90 Minutes Max. Marks: I 00

INSTRUCTIONS TO CANDIDATES:

Read the following instructions carefully before

you open the question booklet.

1. Answers are to be given on a separate answer

sheet. 2. Write your eight-digit Roll Number as

allotted to you in the admission card very

clearly on the test-booklet and darken the

appropriate circles on the answer sheet as per

instructions given. 3. Write down and darken Booklet Number in

the appropriate circles on the answer sheet as

per instructions given. 4. There are I 00 questions in this test. All are

compulsory. The question numbers

I to 40 belong to Sciences, 41 to 60 pertain to

Mathematics and 61 to I 00 are on Social

Science subjects. 5. Please follow the instructions given on the

answer sheet for marking the answers.

6. If you do not know the answer to any question,

do not waste time on it and pass on to the next

one. Time permitting, you can come back to

the questions, which you have left in the first

instance and attempt them.

7. Since the time allotted for this question paper is

very limited you should make the best use of it

by not spending too much time on any one

question. 8. Rough work can be done anywhere in the

booklet but not on the answer sheet/loose

paper. 9. Every correct answer will be awarded one

mark. 10. Please return the Answer sheet only to the

invigilator after the test. II. English version of the question paper will be

considered as final in case of any dispute

arising out of variation in translated version.

PLEASE TURN OVER THE PAGE AND

START YOUR WORK

Roll No. "([('l '!Pill

I?.!? 513 oa'll Booklet Number ~ Willr

I 2152038 I ~ ...TJit-r.u,;;"n;;:-1 ~1:ffu:rr~~ro....u.~w

( .,.;a_n X -11; fluull.hif -11; ~ )

: 90 fl!;g ~ : 100

~~~~

w-r ~ ~ ~ ~ f.ll'! fmit <fir ~ ~

~I I. om: """' 3«'1'! am---q;rq; # -0 i'l

2. ~ 3T'Rl al!O-at<tl'f q;( mot 'll'tR ~ fif;

3lf1l$ ~ 'l'l 'R f<:.<lT lJ'll i, f'l~<llj{1R ~

~ oiR am---q;rq; 'R ~ ~ ~ oiR

f<;<l ~ Tiffil' ~ 'f;1"ffi 'l>tl

3. ~ am---q;rq; ii ~ l1lf.i ii M~ll'itm

~ "!i1!m ft:lful!;l 4. ~ Wl\ll ii I 00 W'! i'l <i>i\ 3lf.!qJ<i i' I 1JV'I I it

40 ~. 41 it 60 7ffbrn oiR 61 it !00 \ll41f"'<t

~ 'R ~ 'R 311•-l!fu! il

s. ~om:~~* fAt< "Om:-'l'l'li 'R R>l

~ tmif ~ '>lA it ~ "" ~ ~

~I

6. ~ 311'1 ~ 1JV'I "" om: '~"liT fi i it '3"!1 'R

~ WI'! 'I ~ oiR wM 1JV'I 'R ~ ~I

'lfi:: OfR ii WI'! m it f,;r'f m ~ 31J1l"'\ %'!

.m, f<:.<lT 'l1' "3'1 'R 'lllffi ~ ~ "3m: ~I

7. ~ ~ W'! 1f;l * fWI f.l'llful '\lll<! ~

mfi:l<f i. ~ ~ ~ :rcrWT ~

oiR %<i\ 1JV'I 'R ~ '\lll<! 'I WJw\ I s. "N <fi'T'i ~ ii q,1 .n ~ "~~ "ll'li(!l t ~

am"--q;rq; I 3«'1'! q;pr.r 'R 'l"li11

9. ~ mT om: "" """' 3i'f> 1RR f<l>'<r "llll!lll

I 0. ~ 1fita_n il; ~ ~ "3m --q;rq; "t\ f.rit8_Pi>

<fir~l II. ~ f<m<ul ii oRR it '03 %<i\ >fr ~ "ifil

fio.lfll # W'! -'l'l * 3ill;;ft f<m<ul ~ ~ liRT

"'Tl(llT I

<p~<~T ~ QHfeoit a:ftr :w:r-rr ~ m

ct.'ll\itit I

NCERT 20\3

The copyright of the contents of this bookld rests with the ~CERT and no part of it should be used by

anybody in any manner whatsoever without the prior permission of the NCERT. The items are prepared

on best effort basis. In case of any dispute the opinion of the experts appointed by NCERT will be final.

5/47 TAT/13-HINDh'iAT -1A

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Page 2: NTSE SAT Solved Paper 2013

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SI47TAT/13-HINDI-$AT-1B

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Page 3: NTSE SAT Solved Paper 2013

I.

2.

3.

} I

An animal cell, a plant cell and a bacterium share the following structural features:

I. Cell membrane, endoplasmic reticulum, vacuoles

2. Cell wall, plasma membrane, mitochondria

3. Cell wall, nucleus, cyt{)plasm ..._)~.. Plasma membrane, cytoplasm,

ribosomes

Given below are figures of three kinds of muscle fibres.

Which one/ones would you find in the grass hopper's legs?

.......-r: A only 2. B only 3. A and C 4. Band C

A plant that has well differentiated body, special tissues for transport of water and other substances, but does not have seed or fruits is a(n):

I. Bryophyte 2. Angiosperm

...).:' Gymnosperm 4. Pteridophyte

I. v:<fi ~ ·q;jf~lq;l, <H<Afct q;)f~lq;l o~

~ • ~ -q f1'"'1f<'lf&<l fi<"'11('4q;

('l!\f111 ~ q:;-«f t I I. q;lf.ll'!il 'fiffi, ~ oiif<'lq;l, f<f'l<lq;i

2. q;'if.Mil f~. ~-~,

' 'ift 41~21q;l -$"11

3. q;)fillq;l f~. ~. q;)fillq;ls;O"'

4. ~-~. q;)f~lq;ls;O"', {i~iilhtl4

2. ~ <it.! v<liT{ * .q-m <ium * m fl;:lt ~ti

"fl1f ~ ~-~ ~ '1ft GiTT -q 'll1l: "ZiiTil

tl

I. A~

2.8~

3. A~ C

4.Bo~C

3. v:<fi ~ -q ~ fcl~ 'liT"'I, ~ ~

3BI 'fey~ * ~11i<l<•l * ~ fcmtl ~ t. ~ ~ oito~ 3l~ 1ji('l "1if m-a t :

I. 91i"'1'lit~2

2. ~_,n "'I ~'llf 3. f;;t '"'11 ~ li

4. z<.ls1'lit~2

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Page 4: NTSE SAT Solved Paper 2013

4.

5.

Raju was suffering from severe

stomach pain and the doctor diagnosed

that he was suffering from peptic

ulcers and treated him with antibiotics.

He was relieved of pain. What could

be the reason for peptic ulcers?

I. Reduced secretion of hormones.

2. Reduced water content.

~Growth of Helicobacter pylori.

4. Excess secretion of enzyme.

The average temperature of the Earth

remains fairly steady as compared to

that of the moon because of the

_)-: atmosphere.

2. lithosphere.

3. biosphere.

4. hydrosphere.

4. ~ ~ ~ ~ ~ ~. ~ "' ~ 'R

WIT f<n 'f6 ~ c), 3lRR ~ ~ t <!~ ~ ~ ll>'"<'fiU4ifc:ifl ~ ~I -_m ~

~ 'UtrO flrffi I .qz c), 3lRR 'Iii q>;JJ 'iflR1l1

-m? ]. ~ 'Iii 'ifl'll' <111'1

2. OR'! '1ft l'Jffi 'Iii 'ifl'll' ~

3. ~f<:1ifllil'R( ~ '1ft <f.& 4. ~ 'Iii 3lf1cr<l> <111'1

5. ~ '1ft ¥AT -q 'I~ 'Iii :;fu:ro <!J11l!R

~ 'iflR1l1 ~ f.Ro1: ~ ur<l1 t?

4. OR'!~

6. In flowers, which one of the following 6. 'T"'f -q f-18 -q ~ ~-m ~ «rn: conditions will increase chances of self-pollination~

I. Pistil .is longer than stamens m a flower.

2/ Stamens are just above the stigma of a pistil in a flower.

3. In all flowers of the plant only pistil is present.

4. In all flowers of the plant only

stamens are present.

2

1. T"' 1l f<tm ~ f~ "rot m 'Iii <'~"'<~~ iRr 1

2. T"! ll :t*m 'Iii 0floh(F '<$ qfctifll~ '<$

itifl '3i'R ~I

3. 'lR'! *' ~'l:i\ 'T"'' -q ~ cil <$ fi( 'Iii

~~I

4. 'lR'! *' ~'l:i\ 'T"'' ij ~ ~ 'Iii ~~I

'

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Page 5: NTSE SAT Solved Paper 2013

7.

I

I 1

Photosynthesis in an aquatic plant was measured by counting the number of 0 2 bubbles coming out of the cut end of the plant. What will happen to 0 2

production if you use a pipe to blow air from your mouth into water in the beaker?

I. Air from mouth contains 0 2 which is being added to the plant. Hence increase in 0 2 production.

2. Air from mouth contains C02 which is utilized in photosynthesis. Hence increase in 0 2 production.

3. Bacteria from mouth will infect plant. Hence reduction in 0 2

production.

~ter is already in contact with air. Hence air from mouth will have no effect.

3

7. ~ ~ ~ if ~ * q;i fut ~ f1ili~~ ~ 3ililfi1"1'1 * ~ 'fiT tf&:rr ~ Wf;m lil·~i.'i~o1 <f;l ~ ~

omiT ~I ~ 3lT'l ~if~ -qR\ ii :p3 &Rf ~ ~ ~ $I oT 3lliR:fl"1'1

~ q;) <p:!j Wn?

1. :p3 &m ~ ~ ~ ii 3li<R"i1"1'1 mm ~ ""1'1 ~ if lilf'"'lf('to mm ~~ 31<1:

::illif41"1'1 ~ "ifi't ~ ~I

2. ~&Rl ~~~if C02 mm~""1'1 Wf;m lil·~i.'ii!IOI <t ~ ~ if 31Tffi ~ 31<1: o2<t ~ "ifi't ~ ~~

3. ~ <t ~ ~ "ifi't estif'l<~ "iii«!~~ 31<1: 02 <t ~ "ifiT q;q "ifi«< ~I

4. ""1"{'1, ~ * ~ ~ m "lil'qcf; if ~ ""': ~ 'fiT ~ q;) ~ "ll'q!q m m 1

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Page 6: NTSE SAT Solved Paper 2013

8.

9.

10.

A person with blood group 'A' can donate blood to the persons with blood group 'A' or 'AB' because it

,_l, has both 'A' and 'B' antigens. 2. has only 'A' antigen and 'B'

antibodies. 3. has only 'B' antigen and 'A'

antibodies. 4. does not have any antigens and

antibodies.

What would happen to the person if cerebellum of his brain is damaged?

I. He will lose his memory power.

2. He will not be able to swallow food properly.

y-:' He will be unable to coordinate and stand properly.

4. He will lose his powers of vision and hearing.

Which of the following statements are correct?

A. Tapeworms are hermaphrodites and undergo self-fertilization.

B. Earthworms are hermaphrodites and undergo self-fertilization.

C. Tapeworms are hermaphrodites but undergo cross-fertilization.

D. Earthworms are hermaphrodites but undergo cross-fertilization

I. A and B 2. Band C

3. C and D 4. D and A ~

4

8. ~ ~ ~ \Cffi tfl!P 'A' t ;;fi 6-1 Ollf<Rt<fl", ~ \Cffi tfl!P 'A' 3l~ 'A B' m, <n1 <if<l'\ 11 "ifil: m t "if'llT~ ~·

I. -ey;n 'A' Cf 'B' "liftF;R m.l ~I 2. c);cwr 'A' "liftF;R "~ 'B' "llfir<ll:ft

m.l~l 3. c);cwr 'B' "liftF;R "~ 'A' "llfir<ll:ft

m.l~l 4. ~ "liftF;R v:cj "llfir<ll:ft "'rnl ~I

9. <rf<:: fil;"ffi "Ollf<Rr <t q f~ ""' -q iii jii ffi1 ""' ~ m ~ m "if'll mrrr? I. ~ BRUT "Wi<f "(§('q 6) 'lfl1l;'it I

2. ~ "l9RT ~ ~ "'rnl f.!1RoT ~I 3. ~ 'Wit "5rifiT( ~ "ifil: ~ m -q ~2f Wrrl

4. -em 3l'l'ft ~ cr "f"!! "Wt<f "1liil ~ 1

I 0. f1"1f<'lf&d -q ~ <!>');;-~ 'fil.R ~ ~?

A. q;"li'fl'l'f'i fG~I<t> m.l ~ Cf 6-fll fC1F1~i11 mor i1

s. ~ FG<'frl"' m-a ~ cr ~ fC1F1~i11 mor i1

c. q;'li'fl'l'fil fufWfr m-a ~ cr ~ 'R-~6T<Iril

D.~ fufWfr m-a ~ cr ~ 'R-~ mor t1

l.ACfB

2. B cr C

3. C Cf D

4. D Cf A

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Page 7: NTSE SAT Solved Paper 2013

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11-12 A group of red beetles I ives on green leaves of a tree. Beetles multiply through sexual reproduction. One day, some green beetles are seen among the red beetles. Green beetles breed to produce green progeny. Crows on the tree eat beetles.

II. Some green beetles appear among the red beetle because

I. beetles become green by accumulating chlorophyll from the green leaves that they eat.

~ natural variations occur during sexual reproduction.

3. red beetles mimic green colour of leaves whenever they see crows.

4. beetles change colour from red to green with change of season.

12. The colour composition of beetle population is likely to change in the following manner:

I. Both red and green beetle survive equally.

2. Only the red beetle survives. 3. More red beetles survive than the

green. ~ More green beetles survive than

the red.

13. In the following food chain who gets less energy than the tertiary consumer and more than the primary consumer?

I Grass-Grasshopper-Frog-Snake-Eagle

I. Grasshopper

2. Frog

3. Snake

J. Eagle

5

11-12. ~ 'fT q;J ~ ~ ~ ~&! 'fit 6ft ~ 'I< mlT tl 'fT q;J "T'R ~ ~ ~ ~ "%1 ~ m ~ 'fiT if;

m?.l 6ft 'fT ~ ~~ 6ft 'fT ~ ~ m ~ ~ qroft -%1 ~&! tR

~ 'fT 'fi't l!i1<i ~I 11. ~ m 'fT ~ 'fiT if ~ <ft. ~

1. 'fT wU ~ ~ "3Wfil 6R<R'Wii <if;;rn ~ m m 1f1ff 1

2. ~ ~ if; ~ lll'flfi1Cfi

M'Ffffi ~I 3. ~ 'fT ., 'fi't ~ m ~ *

"{rr * ~ m ~~ 4. 'fT lilw! if; ~ if; m?.l ~ "it

w{ "{rr if ~ ~I

12. 'fT ~ q;J quf W"riR f.rr;! "!rCfil1: "it qftqf<fa m-.n

1. ~ ~ " m: 'fi WlAdl "it ~ WI 2. ~ ~ 'fT -;;ftfc;Rr ~ 3. wt 'fiT 'fit wr=n if ~ 'fT ~ ~ if -;;ftfcffl WiT

4. ~ '# 'fit wr=n if wt 'fT ~ ~ if -;;fifc;Rr ~I

13. f"t"'lf~fuia ~ ~ if <f<mi aqoq'lildl

"it "Cfi1l" " "Ill~ aqoq)'ldl "it 3lf~ ~ f<l;"it ~?

I. ~ 2. ~

3. m 4. ~

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Page 8: NTSE SAT Solved Paper 2013

14. If a non-degradable and fat soluble pollutant, such as DDT enters the food chain, the pollutant

15.

16.

~magnifies in concentration at each trophic level.

2. degrades at first trophic level. 3. accumulates in the body fat of

organism at first trophic level and does not pass to second trophic level.

4. decreases in concentration at each trophic level.

A drop each of two non-corrosive and non-irritating liquids A and B at a temperature of 22"c are placed on the skin. Liquid A gives a more cooling sensation than liquid B. Which of the following can be said about the liquids A and B?

I. Liquid A has higher boiling point than that of liquid B.

2. Liquid A has higher latent heat of vaporisation than that ofliquid B.

.._%. Liquid A has lower latent heat of vaporisation than that of liquid B.

4. The boiling points of liquid A and Bare equal.

There is a mixture of three solid compounds A, B and C. Out or-these compounds A and C are soluble in water and compound C is sublimable also. In what sequence the following techniques can be used for their effective separation?

I. Filtration II. Sublimation

Ill. Crystallisation from water extract IV. Dissolution in water

I. (II), (1), (IV), (Ill) \]- (IV), (1), (II), (Ill)

3. (1), (II), (III), (IV) 4. (II), (IV), (1), (III)

6

14. 3lRf"1ifi <•il 'l <J?.lT <mT -tl $1'Hilct ~

~ 'it 'it if, l9rn ~ 1l m 'li«<l

tm~

I. q;l~m$!;~«1(-q(~

mcn- t1 2. 'liWI ~ m -q( fcrEiful mar tl 3. >r~ ~ m -q( -;;ftq * m'R 'liT

<mT -tl ~ mar t olqi f!:fil'lifi

~ m -q( ~11iafta -.m marl 4. m$!; ~ m -q( ~ ~ 'Ill!

mcn- t1

15. <:J am~ q 3i3-il"'<ti ~ A ll;'i B <!fl ~-~ ~ q;'t ~ -q( ~ -;;mrr tl ~ A ~ B 'liT g;ct'!l -tl :>if~ ~ <!fl 3lJ'lf<! ~ t I f.fr::r -tl ~ ~ A ll;'i B c)i

~ lF11 q;m ;;rr ~ tl

!. ~ A q;j ~ ~ B ~ :>if~ t1 2. ~ A 'liT qr;tR 'liT 'T<f OVSill, ~ B ~~tl

3. ~ A 'liT qr;tR 'liT 'T<f OVSill, ~ B ~ 'Ill! tl

4. ~ A ll;'i ~ B c)i q<~~ <JliR ~I

16. ~ <ft:! dffi ~ A, B ll;'i C q;j fillJ!Ul t I ~ ~ A ll;'i C "''ct -tl fcR:i>:! ~ <r~q~ c -o>4qwl1'l 'lit t1 ~ >r'Wft 'l:~ * fuv: ~ Sf;ll -tl o<ti:fl<til' q;J

~~;;rr~tl

1.~

11.'3'~

Ill. ~ f<lwR ~ fll>R(11

IV. "''ct -tl fqt'l<i"iifi{OI

I. (II), (1), (IV), (III) 2. (IV), (1), (II), (Ill) 3. (1), (II), (III), (IV) 4. (II), (IV), (1), (III)

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17. Which of the following is a suitable

example for illustrating the law of

conservation of mass? (Atomic mass of0=16; H=l)

~ 18g of water is formed by the

combination of 16g oxygen with

2g of hydrogen. · 2. 18g of water in liquid state is

obtained by heating 18g of ice. 3. 18g of water is completely

converted into vapour state on heating.

4. 18g of water freezes at 4°C to give

same mass of ice.

18. An element X has 7 electrons in its L

shell. What is true about the element X? I. It belongs to period 9 of modern

periodic table. J. Its atom contains 9 protons.

Ill. It has a valency of7. ~- Its atoms can accept an electron to

acquire noble gas configuration.

I. (I) and (II)

2. (II) and (Ill)

3. (Ill) and (IV)

J.(ll) and (IV)

7

17. f.rr=l 1l .t 'fiR-m 'li"'l'li1 ~ ~·

'fiT ~ di!"\HOI ~ 'fi«ff t (1W11'!1 ~ 0= 16;H= I)

I. 16g 31i<Hihl1 l!,Ci 2g l;l~"il"1'1 * ~ .t 18g ~ 'fiT f.r'lfull

2. 18g <rf; q;) TWI ~ 1R J8g ~

~ -q ~ 'lit "lllfi<ll 3. 18g ~ q;) TWI ~ 1R ~ ~

ll CWI'ft>:l ~ ll ~I 4. 18g ~ 'fiT 4°C 1R ftii"i<t>(Ui !:R1

WlR I;Oll'il1 'fit <rf; ll ~I

18. v:<ll "iW'I X c); L "<tiM ll 7 ~~'1;;11 t, "iW'I X c);~ 'fiR-<l ~ ~ t?

I. ~ 3ll'qf.!<t>" 3Wf<f m<"fi * 9cl

.mel<! 'fiT ~ t II. ~ 1f(ll11lj .q· 9 "l11iR m<f t I

Ill. ~ filli"1<t><11 7 "tl

IV. ~ 1f(ll11lj v:<ll "'~~~<R"")61 WUT "'fl"l:

~ ~ "<tlT f<p:oo :m'{l ~ ffl tl

I. (I) <1"11 (II)

2. (II) <1"11 (Ill)

3. (ill) <1"11 (IV)

4. (II) <1"11 (IV)

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19. The reaction between carbon and 19. 'fi't'iR ~ 3ii<Ht'l31'1 * l!U! 3lf~ 'fiT

20.

oxygen can be represented as f~¥>1'\1<1 fll;"qJ ~ t-c(,) +0~,) -co,.., +heat

In which of the following type(s}, the above reaction can be classified?

\.)~.'. Combustion reaction II. Displacement reaction Ill. Endothermic reaction

fl. Combination reaction

I. (I) and (III)

J (1}, (III) and (IV) Jj, (I) and (IV)

4. (I) only

A metal carbonate X on treatment with a mineral acid liberates a gas which when passed through aqueous solution of a substance Y gives back X. The substance Y on reaction with the gas obtained at anode during electrolysis of brine gives a compound Z which can decolorise coloured fabrics. The compounds X, Y and Z respectively are

v( CaC03, Ca (OH}2, CaOC(z

2. Ca (OH)2, CaO, CaOCh

3. CaC03, Ca0CI2, Ca(OH)2 I 4. Ca(OH)2, CaC03, CaOCb

' ..,

() u 'J

\_' c

\.J

"'?I( c--- -i. . I <) (J ()_,.._ <...; ' '

f '-" ::r :1 .:s::·"' ,• •'

~ ~"' " --1-- ... L "t-

(')"'\ '" ~\)

''V I, ".. i \

' ' (! ~:)

\J \~i ' 8 ~j

c1,) +0,1,) -co,1,) + ~ f.!'1 .q- <t m V<mY '111 3l"M!ii'lr.m t:1 ~ aJMfMr 'fiT ~ f<fi>.lr '311 WF<II t?

1. cw-~ m~

rr. ~m~ IlL &iiSIOMit•lr 3lf~ IV. ~m~

L (I} om (HI)

2, (!}, (Ill) <l?.ll (IV)

3, (l) <l?.ll (IV)

4. ~ (l)

20. ~ mfiqq; 'lil<if~<: X, ~ ~ ~ <t ftn1.!r 'il"{ ~ ~ 1fl<l 'li«<l t f;ffi y ~~*~~<t~<n«fi oT ~: X 'Ill'<! ij)m 'tt ~~ Y, ~ ~ * ~ ~ ;m ~ 'R 'Ill'<!. -m <m'il ~ <t m~ 'il"{ mfiTq; z -t<n t r mfiTq; z m ~ ~ f<lt;r;:r 'il"{ WF<II tr mfiTq; x, Yom z 'ifllm: t-I. CaC03, Ca (OH)2, CaOCb

2. Ca (OH)2, CaO, CaOC(z

3. CaC03, CaOCb, Ca(OH)2

4. Ca(OH)2, CaC03, CaOCh

'

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Page 11: NTSE SAT Solved Paper 2013

I f

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21. A salt can be produced by reaction between

~- a weak acid and weak base.

B. metal oxide and water.

y. metal and a mineral acid.

D. metal oxide and a mineral acid.

I. A, Band C

2. B,C and D

~C,DandA

4. D,AandB

22. Which of the following is true about the two statements?

Statement I : Reactivity of aluminium decreases when it is dipped in nitric acid

Statement II : A protective layer of aluminium nitrate is formed when aluminium is dipped in nitric acid.

I. I is correct but II is incorrect

2. I is incorrect but II is correct

c_yBoth the statements are correct and II is also the correct explanation of!

4. Both the statements are correct but II is not correct explanation of I

9

21. ~ q;'j f.ll:l cf; '!~ <i!f"'f!li<ll ~ 'f'W.I1

;;rr ~ tl

A.~~~~~~ B. mg <illif!llf6 ~ ~

c. mg~~~ D. mg aflif!li~:S <I'U ~ ~

I. A, B <1'11 C

2. B, C<I'U D

3. C, D<I'U A

4. D, A oen B

22. m ~ cf; ~ f.ll:l .q ~ 'lln <Ji'll t? 'lfi1R 1 : ll;<t!f'lf"'<l'l q,1 flili<ll¥ilt'lm ~

~ .q ~ "' q;l! -m ;;mit t 'lfi1R II : ~ 1/Jt[f'lf"'<l'l q;'j ~ ~

.q ~ -;;miT t <it 0« "' V:<t[f'lf"'<l'l

"'II$ q,1 ~ lR<I <A ;;mit tl

I. ~ I <m t ~ ~ II l"Jt'1il t1

2. 'fi?:R ll"Jt'lil t ~ ~ I <m t1

3. m~<mtoen~ II,

'fi?:R I q,1 <m cxm§!lT '1ft t I 4. m~.mt<I'U~ II,

'fi?:R I q,1 <m cxm§!lT "'ltf t I

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Page 12: NTSE SAT Solved Paper 2013

23.

24.

25.

A silvery white metal X reacts with water at room temperature to produce a water soluble compound Y and a colourless gas z. The reaction is highly exothermic and the Z catches fire immediately during the reaction. The solution of Y in water on reacting with stoichiometric amount of dilute solution of hydrochloric acid gives a solution of pH = 7.0. The compounds X, Y and Z respectively are:

I. AI, AI(OH)J and H2

2. Ag, AgOH and H2

./. K, KCI and H2

4. Na, NaOH and H2

A compound X is obtained by the reaction of alkaline KMn04 with another compound Y followed by acidification. Compound X also reacts with compound Y in presence of few drops of H2S04 to form a sweet smelling compound Z. The compound X, Y and Z are, respectively

I. Ethanol, Ethene, Ethanoic Acid

7-Ethanoic Acid, Ethanol, Ethylethanoate

3. Ethanoic Acid, Ethanal, Ethene

4. Ethanol, Ethanoic Acid, Sodium Ethanoate

Which of the following pairs of compounds of carbon will undergo combustion as well as addition reaction?

I. C~~and C, H6

2. C2H60 and C3H80

._3: C,H40 2 and C3H60

4. C2H2 and C1H6

c - ( 10

(- r_c_-·0-

~ I . -c···I-c

t1 \ I I I

23. ~ ~ m "{lJ 'lit "l1g x ~ ~ <n&~ (IJq "tf{ ~ 'lit ~ -q ~ ~ Y (I'-ll ~ il"fl Z "iRRit ~I ~ "l~fMI "1ft! ~&NT ~ (I'-ll Z 31f'lfMI 1$ ~ ;;qfffir m ('flRfJ ~~ ~ v 'liT ~ fclw:R jq~"l)<R'1)ft<t> ~ 'lit HMfi<t>{Uif'lfo<i l!BIT ~ ~ 'li{

pH=7.0 'liT fclw:R ~ ~I ~ X, Y <1211

Z !l>lm: ~I

I. AI, Al(OH)3 <1211 H2

2. Ag, AgOH (I'-ll H2

3. K, KCI <1211 H2

4. Na, NaOH <1211 H2

24. ~ KMn04 ~ Y 'lit an~ 1$ Wim1 311"fi1 <t> <"I GR1 ~ X "liT'<! 61<11 ~~ ff<."'f1R'Il ~ 'lit ~ <(<:.~ '!ft ~-q'~x.~v~~ 'li{ 11~ Tf~ ~ Z 'Rlffi ~I ~ X, Y <1211 Z !l>lm: ~

I. ~¢lffi, 11:~. 11:~ ~

2. v:~ ~. v:¢lffi, v:f~~ 3. v:~ ~. v:~. v:~ 4. v:I!.Rffi, v:~ ~. <=tlfs<i4

~

25. f.!t::I -q ~. ""*' * ~ 'liT

~-w "T"'! <::6'1 ~ >WT G:RT an~ ~?

I.

2.

3.

4.

CH, <1211 C,H.

C,H.O <1211 C,H,O

C,H,O, <1211 C,H.O

C,H, <1211 C,H.

( I

I I _(- (- c=o

I

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Page 13: NTSE SAT Solved Paper 2013

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26. An element X combines with hydrogen to form a compound XH 3• The element X is placed on the right side of the periodic table. What is true about the element X?

f!l1l!. Has 3 valence electrons.

B. Is a metal and is solid.

~Is a non-metal and is a gas.

~ Has 5 valence electrons.

E. XH 3 reacts with water to form a basic compound.

I. A, Band C

2. B, C and D -:f.. C, D and E

4. E, A and B

27. An element X (atomic number 12)

reacts with another clement Y (atomic number 17) to form a compound Z. Which of the following statements are true regarding this compound~

+.-lVlolecular formula ofZ is XY 2

~· It is soluble in water ltl. X and Y arc joined by sharing ot

electrons ,___j.V: It would conduct electricity in the

molten state

I. (II) and (Ill)

., (I) and (Ill)

:1. (I). (Ill) and (IV)

"-r(l) and (IV)

II

26. ~ '(l(q X 61$1hl1 .q' 7:lTT! 'ifi<: ~ X H 3 'f'll(ll t I 'il(q X 3W!<f <ffi1lfi 1l ~ <Rt!iWI~ t1 (f(i'l X~~ ~WIt?

A. ~ 3 Wlhft $~'1S;T1 'tt B. <rtr mq t oltll om t I c. <rtr 3lmq t (jltjJ il<l tl

D. ~ 5 Wlhft $~'1S;T1 it E. XH,, ';;j'('j <l 3lf~ 'ifi<: ~ ~

~tt

I. A, B oltll C

2. B. C oltll D

3. C, D oltll E

4. E. A oltll B

27. ~ 'il(q X (~ ~ 12) 381 'il(q Y

(~ ~ 17) .t 3lf~ 'ifi<: ~

~ z~ t ~ zc); ~ f.ll=l .q .t <!i'R ~ 'f>~ ~ t? I.Z<Iil~XY,t

II. <rtr ';;j'('j .q ~ t Ill. X oltll Y $~'1;;,11)' $ <:ii~<:H1 ~ ¥. it IV. ~ 1Jft;ro 3l'Wll ~ fclwi <liT "11"('1"'!

ffll I. (II) oltll (Ill)

2. (I) oltll (Ill)

3. (1), (Ill) oltll (IV)

4. (I) oltll (IV)

'/ -1-- c I -')

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Page 14: NTSE SAT Solved Paper 2013

28. A ship sends a sonar wave to the sea bed which is flat and measured several times over a large area. One day the reflected sound wave takes longer time than in previous measurements. The possible reason is:

-...¥. the frequency of the sonar .wave, generated by the equipment is lower than previous measurements.

2. there is a solid object of large size in the path of sonar wave.

3. there is a huge air bubble in the path of sonar wave.

4. the loudness of the sonar wave, generated by the equipment IS

lower than previous measurement.

28. ~ ~ qft ~ qft - ~ $r -q am,- '1R ll1"'it -;;"fT ~ t I ~ ~ "'R ~ ~ .t ~ w.m: iWT ¢;it ;;mil t1 l'f of; l'JI1f'll <T; at'l~. ~ WI q(lctfifd ~ iWT q;l ~ l{ ~ ~

"fflRIT t1 ~ W"'flfi'lo 'fiR1II

I. l'f l'JI1f'll qft 3l\l!\ll <N<fi<OI &RJ ~

w.m: iWT qft ~ <nll tl 2. w.m: iWT * liT'f l{ ~ ~ ~

q;1 om~~~ 3. w.m: iWT * liT'f l{ ~ ~ ~ ~'Iii~ ~I

4. l'f l'JI1f'll qft 31'f!\ll, <N'fl(OI &RJ ~ mm iWT qft 'll'lffi!l. <nll ~I

29. Which of the following ray diagram is 29. f.p;j l{ .t <i>'t-1 m ffi -m't ~? correct?

3) F

!

2)

4)

12

Image at infinity

m'o "<R ~ fof<t kit

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Page 15: NTSE SAT Solved Paper 2013

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30. A concave lens always gives a virtual image. In optical lenses worn by humans which of the following statements is true?

I. The lens can never be concave. __,-2: In some cases the lens can be

concave if the focal length is much larger than 2. 5 em.

3. All focal length concave lenses are possible.

4. All focal length convex lenses are possible.

31. A geo-stationary satellite is orbiting around earth at height of 30,000 km in circular orbit. The radius of the earth is taken as 6000 km. The geo-stationary satellite comes back to its position after one revolution in exactly 24 hours. Let the acceleration due to gravity (g) be I 0 m/s2 and mass of satellite be 1000 kg; calculate the work done in 12 hours when movtng under gravitational force.

J. 3.611 X 10 14 j

~; 211 X 7.211 X 10 14)

3. J.811 X 1014)

4. 0 J

13

30. ~ 'ffil ~ 311\lR'it ~ ~ %1 ~ bRI ~if~~ cwit %1*''~-~ <9m if; ~ f.!i;j if "' 'fiR <'ll <w.R ~ %?

I . 'ffi! q;~ ~ ~ "'!lif m <1'f>i!T I

2. ~ ~ ir 'ffil 3'I'CI'W'I m W.f>Ol % 'R'U ~ ~ ~ 2.5cm

<'~an-~ mt ~~ 3. <~':it ~ ~ * 31cl(!(1 'ffil <i'1<'1

~I 4. <!~ ~ ~ * "3'm'[ 'ffil <i'1<'1

~I

31. ~ 'I,-~ ~ ~?.<{) * 'lful: ~ q;a;r if 30 ,ooo km q:iT ~ "Ill: ep:~ m %1 ~?.<{) q:iT ~ q;'t 6,000 km fu>:rr ~ %t ~ 'i ~ ~ ~ -qfu!;ln * Wiml 31'ft ~ "Ill: <lit 24 <iii if 'Cf1f1m 3lTffi %1 1~<"1"1'-l <"WWT q;J liR

' 1 o m!s- om ~ 'lil ~ 1000 kg

't!R'Ii\ p>&.ftil <WI * "ll~ if TJfu '11\it ~ ~ "Ill: 12 <iii if ~ Tf1t 'fiTli q;J

qf{ifl<'1'1 ~I

I. 3.611 X I 014 J

2. 211 X 7.2 11 X 1014)

3. 1.811 X ]014 j

4. OJ

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Page 16: NTSE SAT Solved Paper 2013

32.

33.

Consider a simple circuit containing a battery and three identical incandescent bulbs A, B and C. Bulb A is wired in parallel with bulb B and this combination is wired in series with bulb C. What would happen to the brightness of the other two bulbs if bulb A were to burn out?

~ Only bulb B would get brighter. 2. Both A and B would get brighter. 3. Bulb B would get brighter and bulb

C would get dimmer. 4. There would be no change in the

brightness of either bulb B or

bulb C.

Three different circuits (1, II and III) are constructed using identical batteries and resistors of R and 2R ohm. What can be said about current I in arm AB of each circuit?

32. <fR 1l:'i' w:lR ~ 'R"i A, B WIT C WIT

1l:'l' -mt * .U?l 1l:'l' ~ ~ qft ~ ~I 'R"i A WIT GR"i B <l1lRR Sfi1'! ij

~ ~ WIT R<fil ~ ~ 'R"i C * ~ ~ Sfi1'! ij ~ ~I GR"i A * ml'! it ;;rr;t qft ~ ij <::AI 3Pl ~ qft ~ ij

q<[J ~ it'll?

I. ~ <R"'! B aTI"l''l "14~ 'Ill 2. ~ GR"i A ol'.fl B aTI"l''l ~I 3. 'R"i B 3lf"l'!l "14 ili"wu it'll ~

GR"i c "l1llT liT'lll

4. <::RT ~ B am c il <l f<llm .n ~ qft ~ 'R ~ "li'1Jq "'It! ..wnl

33. "@fA ~ ol'.fl R am 2R ohm * "@fA mm * ~ <l <~A M'I:R ~ (I, II am III) 'f'll<l TJ<I ~I ~ '!ftq~q qi\ AB 'F1 il ~ !ffil I * 'ITt ij '1<11 ~ ~ <~<!>(~! ~?

E~R B

II

AR R R R R R R R

E R

B . '

I. In<iJ<I111.

2. lJ<ln<Im.

~=In =Im.

4. /1>/n= Im.

I

2J

<:.~Y~..-~ Ill

14

I. Iu<Ij<I111.

2. J,<Iu<I111 .

3. J, =In = Im.

4. lJ>lu= Im.

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Page 17: NTSE SAT Solved Paper 2013

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34.

35.

A uranium nucleus at rest decays into a thorium nucleus and a helium nucleus, as shown below. Which of the following is true?

I. Each decay product has the same kinetic energy.

2. The decay products tend to go in the same direction.

LX/ The thorium nucleus has more momentum than the helium nucleus.

4. The helium nucleus has more kinetic energy than the thorium nucleus.

The figure below shows the position of a ball at I = 0, I = I s, I = 2 s, t = 3 s andt=4s

x=o

34. f.ri;j # o:WI ~ f1lim W-R ~ 11f<qq;

qj! ~ 1!,'li ~ 11f<qq; <l!ll ~

11f<qq; # mm tl f.ri;j # <ii"A m ~ t?

I.~~ 'RI~ qft ~ ~

~i'l 2. ~ 'RI~ 'l!Jfl it ron 'If 1Jfu 'fiB

<1>1 ~ W<l 'ti 3. ~ "'Tf% '~>~ <WT tOf<.'l<tli 11f"''l>

qft ~&ll aTI'!l'fl t I 4. tflf<.'lllli "'Tf% <1>1 ~ ~ ~

"'lf% <1>1 ~&ll aTI'!l'fl tl

35. f.!t=l f<l>, t = 0, I = I s, I = 2 s, I = 3 s

<l!lT 1 = 4 s 'G1: 'F<Pm tR qft W:lffilli m t1

X --+

Position of ball at five successive times rffq 'Wm: Wl'7if' w w qft fP.rfrr

Which of the graph below is a possible f.ll1 'If ~ ~ m '!11"11 ~ x(t) q;'\

graph of the position x(t)? 00 *' ~ ~ '!11"11 m ~ t? 1) 2)

X X

0 t

4)

X X

0 0 I

15

S/47 TAT/13-HINDI-sAT -2A

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Page 18: NTSE SAT Solved Paper 2013

36.

37.

The graph shows position as a function of time for two trains A and B running on parallel tracks. For times greater than 1 = 0, which of the following statement is true?

A c: B :~ I

I "' I 0 0. I

I I I time

o IR

(/. At time Is, both trains have the same velocity.

2. Both trains speed up all the time. 3. Both trains may have the same

velocity at some time earlier than Is.

4. Graph indicates that both trains have the same acceleration at a given time.

The figure shown below depicts the distance travelled by a body as a function of time.

e .g

10 Time (in sec.)

The average speed and maximum speed between 0 and 20 s are

'---h I m/s, 2.0 m/s respectively.

2. I m/s, 1.6 m/s respectively.

3. 2.0 m/s, 2.6 m/s respectively.

4. 1.3 m/s, 2.0 m/s respectively.

16

36. ~ liT'i 'R 11firn ~ A am B ~wnf.g<ll '1ft ft:?.lfu <ii't ~ * 1liW! <$" ~ if. ~ mq; if <::WIT tl I = 0 .t ~ 1$-~* ~ ~ if<l <t>T-1 m ~~t?

I I I I I I

A

I W!'l

o tR

I. ~ Is 'R, -ey,rr ~WII~<lT 1$- $! WW!~I

2. -ey,rr ~(1•11f~'ll' '1ft 1Jfu <J'ift ~ 'f{ ~Wttl

3. ~Is <l ~ finm ~ 'R -ey,rr ~WIIfi!\4). 1$- $! WfR m m ~I

4. m<~> * ~. -ey,rr ~mfi!\<ll * «WWT finm f<;>l 'Pf ~ 'R WfR ~I

37. ~ 1$- 1liWI 1$- ~if finm ~ GRT

~ '1ft l"flft ~ ~ m if ~ l"flft t1

I 0 20 WPl ~~ "#)

0 .t 20 s * ~ if afurn v,ci ~ '00 t: I. Wilm: I m/s, 2.0 m/s

2. Wilm: I m/s, 1.6 mls

3. Wilm: 2.0 m/s, 2.6 m/s

4. Wilm: 1.3 m/s, 2.0 m/s

S/47 TAT/13-HINI»-SAT -28

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Page 19: NTSE SAT Solved Paper 2013

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38. A hypothetical planet has densityp,

radius R, and surface gravitational

acceleration g. If the radius of the

planet were doubled, but the planetary

density stayed the same, the

acceleration due to gravity at the

planet's surface would be :

39.

I. 4g 2. 2g 3. g

0 g/2

Three rings P, Q and R are dropped at

the same time over identical hollow

magnets as shown below :

p

Plastic ring +-- E: 9 Gi'llfR:Cfl ~

N

s

N

s

Which of the following describes the

order in which the ring P, Q and R

reach the bottom of the magnet?

I. They arrive in the order P, Q, R.

2. They arrive in the order P, R, Q.

3. Rings P and R arrive

simultaneously, followed by Q.

J. Rings Q and R arrive

simultaneously, followed by P.

17

38. finm qf{<t>fo-qct W 'lil ~ p. ff?:n R

([~ ~ '1<>«1'1'1 ~ g t1 m ~ -<t>'t "\111R 00 ~ ~ w <1ft fl;?:n <n'1

'KIT m -.n:, w q;1 ~ "' ~ ~

m: I. 4g

2. 2g

3. g

4. g/2

39. m -q ~ ~ <fR qwif P. Q o~

R q;'t "\111R ~ ~ '11: -q:q; ~ ~

"' flm<rr ;;mn t :

N

s

Copper rings

"Cfl'f1n: ~

f.p::;j -q ~ ~ m "'~ C!Wit. P. Q o~

R ~ <fi m'! '11: ~ $ lf>ll q;]

~t?

l. c) P, Q, R $ lf>ll ll ~ tt 2. c) P, R, Q $ ~ ll ~ tt 3. ~Po~ R v:<n m~ ~to~ ~ Q<JR lll

4. ~ Qo~ R -q:q; m~ ~to~

~ P<!R lll

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Page 20: NTSE SAT Solved Paper 2013

41.

40. An electron moving with uniform velocity in x direction enters a region of uniform magnetic field along y direction. Which of the following physical quantity(ies) is(are) non-zero and remain constant?

y

e----•

I. Velocity of the electron. . Jl. Magnitude of the momentum of the

electron. JH. Force on the electron. IV. The kinetic energy of electron.

I. Only I and II. 2. Only lii and IV. 3. All four. 4. Only II and IV.

An open box is made from a square lamina of side 12cm, by cutting equal squares at the comers and folding up the remaining flaps. The volume of this box cannot be

I. 115 c.c.

2. 120 c.c.

3. 125 c.c.

4. 130 c.c.

18

4o. x mrr -q ~ tl1!R *' ~ lJft! 'f;«<f ~311 ~ ~~q;_;i1 ~ Y mrr -q ~ "WlR

¥'4"'1<~ ll};! -q m 'f;«<f t 1 f.p:;j -q ·q;'),

-m ~ -umc"<ti) ~ v.ei ~mit tc~) :

e----•

I. ~~"'.:A q;) $1 II. ~~q;_;i1 $ "fiWJ q;J ~

m. ~~ q;_;A 1R ore IV. ~~"'.:A "'f>1 ~ ~

I. ~ Iom II

2. ~mom IV

3. <1"'4! '<fRY 4. ~Hom IV

41. 12cm '!fliT C!R'l Cfllf<!m: 'm'! $ 'ffiT m ~ tl1!R crt <m '"' v.ei -$1 1l"R'l1 <li't ~ '"' ~ W'fT omrr <RI1:fT ~ t1 ~ <lf<m q;) 3W«R ~ m ~ I. 115 c.c.

2. 120 c.c.

3. 125 c.c.

4. 130 c.c.

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Page 21: NTSE SAT Solved Paper 2013

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42.

43.

A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides proportional.

S1 = A's triangles must be similar S2 = B's pentagons must be similar

Which of the following statement is correct?

I. S1 is true, but S2 is not true. 2. s2 is true, but sl is not true. 3. Both S1 and S2 are true. 4. Neither S1 nor Sz is true.

1'1 ABC is an equilateral triangle of side 2JJ ems. P is any point in the interior of 1'1 ABC. If x. y, z are the distances of P from the sides of the triangle, then x+y+z=

I. 2+J3ems.

2. 5 ems.

3. 3 ems.

4. 4 ems.

42. A ft!:rrJ 'liT ~ t ~ WT<i ~ Wiljqlol ~ om B ~ 'liT ~ t ~ WT<I ~ <'lqljql<ft ~

s1 =A"* ft!~ ~ m ~ Sz:Bcfi ~~ ~ m~

f.!>:;r <n?.Rl ll <!iR WI t?

1. s1 W~ t ~ s2 W~ "'161 t

2. SzW~t~S~W~~t 3. GBT S1 11!{ Sz WI t' 4. '! m S1'! tiT SzWI ~

43. 1'1 ABC ~ ~ ft!~ t ~ 'lf"J 2JJ ems. t1 ft!~ ABC cfi aro P ~ ~ t1 "11f<:: X, y, Z ~ p ~ fll~ qfj """' .... ..:. ...mit .¥ ...:. "-.. ->11 ~ ~''"'' Q 01 x+ y+z=

I. 2+J3ems.

2. 5 ems.

3. 3 ems.

4. 4 ems.

44. Which of the following numbers is the 44. f.!>:;r ~3il 1l "if>"A-m ~ ~l<t>RI<t> fourth power of a natural number? ~ q;1 ~$mi t 1

-1. 6765201 2. 6765206 3. 6765207 4. 6765209

45. The square of an odd integer must be of the form

I. 6n+ I

2. 6n+3

3. 8n+l

4. 4n+ I but may not be 8n+ I

I. 6765201 2. 6765206 3. 6765207 4. 6765209

I. 6n+ I 2. 6n+3

3. 8n+l

4. 4n+l ~ 8n+l "'161m~

19

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Page 22: NTSE SAT Solved Paper 2013

46. ABCD is a square with side a. With centers A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let o be the area of the region m the interior of the square and exterior of the circles. Then the maximum value of o is I. a'( !-7!")

2. a'( 4 ~7!") 3. a 2 (7L-1)

7La' 4.

4

47. Thevalueoftanl 0 tan2°tan3° ... tan89" is

I. 0

48.

49.

2. I 3. 2

4. 2

ax' + bx + c = 0, where a, b, c are real,

has real roots if

I. a, b, c are integers. 2. b2 > 3ac. 3. ac > 0 and b is zero. 4. c=O.

An open box A is made from a square piece of tin by cutting equal squares S at the comers and folding up the remaining flaps. Another open box B is made similarly using one of the squares S. If U and V are the volumes of A and B respectively, then which of the following is not possible?

I. U> V 2. V>U 3. U=V 4. minimum value of U > maximum

value ofV.

20

46. ABCD ~ Cflf t ~ ~ a t1 A, B, C am D <!iT cR ~ 1IFI Cfl{ '1R

~ ~ -;;ml ~ <llflf; ~ ~ ~ <if.! 'fll -q " f<Rf -ey <!iT ~ ~ " ..m q;uf m1 11F11 1ln o Cflf c); atHtR<ii ~ am 'fll c); ~ ~ '<til ~ 'hit o '<til ~ 1IFI m-rrr

I. a'( !-7!")

2. a' ( 4 ~7!")

3. a 2(7L-l}

7La' 4.

4

47. tanl 0 tan2° tan3° ... tan89°<f;l 1IFI t

48.

I. 0 2. I 3. 2

I 4. 2

2 • ~ ax + bx + c = 0 , -;;jtrf a, b, c ~I'Rifq<ti

~ ~ m ~ cii'R]fqiji 1F1 mrrr ~ I. a, b,c~ ~ 2. b2 > 3ac. 3. ac > 0!1?.11 b~ t 4. c=O.

49. ~ qtTfci;R fl'f * ~ * 'iiRT '<tiM" W1'A cpf s ~ !1?.11 ~ 'tlffiT <!iT ~ ~ ~ <U<m A~ "ffi1T t1 "¢\ (Rij f<rrnl ~ cpf s " ~ apt

~ <U<m B ~ "ffi1T t ~ U !1?.11 V, A !1?.11 B c);~: 3W«R ~ m f.A

" ~ "'""' "'lff t? I. U>V 2. V>U 3. U=V

4. u '<til ~ 1IFI > v '<til ~ 'I!R

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Page 23: NTSE SAT Solved Paper 2013

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50.

51.

52.

Which of the following statements

holds always?

I. Every rectangle is a square.

2. Every parallelogram is a trapezium

3. Every rhombus is a square

4. Every parallelogram is a rectangle

Which of the following polygons are

uniquely determined when all the sides

are given?

I. Quadrilateral

2. Triangle

3. Pentagon

4. Hexagon

There are several human beings and

several dogs in a room. One tenth of

the humans have lost a leg. The total

numbers of feet are 77. Then the

number of dogs is

I. not determinable due to insufficient data

2. 4 3. 5 4. 6

21

50. f.ll;! 11' if>'R-m q;tR ~ ~ t?

I. ~ 3W«< ~ qtf !I _....._ .,.,......,.., ....,...b """"

2. )(("''f> ..,.,,", ... ~.,-· --~· tjlj('jkf

~~!I 3. ~~~~qtftl 4. ~ ~ ~,_pr ~ 3W«< !1

51. f.ll;! ~ ~ if>'R-m ~~ ~ ~ ~~~-;;mnt~~-41~

.;y ~ m1 I. ~,_pr

2.~

3. lfq~

4. ~~

52. ~ <filR -q ~ ~ 11!( ¥l ~I l!J&ll qiT -mr:m 'fiT -wii 'IWT ~ ~ lit "'¥'

t1 ¥Y -ttu qiT mr n t m ~ qiT

-mrt 1. ~ 6Tll * q;f{UT ~ -:m ~-;;n~

2. 4 3. 5

4. 6

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Page 24: NTSE SAT Solved Paper 2013

53.

54.

55.

All the arcs in the following diagram are semi-circles. This diagram shows two paths connecting A to B. Path I is the single large semi-circle and Path II consists of the chain of small semi­circles.

A

I. Path I is longer than path II 2. Path I is of the same length as Path

II 3. Path I is shorter than Path II 4. Path I is of the same length as Path

II, only if the number of semi circles is not more than 4

One integer is chosen out of I, 2, 3, ... , I 00. What is the probability that it is neither divisible by 4 nor by 6

I. 0.59 2. 0.67 3. 0.41 4. 0.33

J<a~h)' +J(b~a)' IS

I. Always zero

2. Never zero

3. Positive if and only if a>b

4. Positive only if a* b

22

53. f.!l'! m if ~ ~ 3l~ ~~ ~ m if A <n'\ B <l ~ '* fu<t .-ey lWf ~ TPl ~I lWf ll!l'l ~ ~ 3l~ t ~ lWl II 3l~ 'liT ~ t1

B

I. lW!IlWlll<l ~ t 2. lWf IlWf II '* 'ifU<l'{ t 3. lW! IlWl II <l mer t 4. lWIIo~ 1Wl11~ ~ '* l ~ 'll'fl:; 3l~ 'liT mT 4 <t 3lf% ~ tl

54. I, 2, 3, ... , 100 <l ~~~Offill t1

~ "~ m 4 ~n m 6 <t f<l'qJf;rn m '1ft ~lf<iqidl tl

I. 0.59 2. 0.67 3. 0.41 4. 0.33

55 · J<a~b)' +J(b~a)' t 1.~~ 2.~ ~ ~ 3. ~ 'll'fl:; am ~ 'll'fl:; a>b

4. ~ ~ 'llfl:: a* b

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Page 25: NTSE SAT Solved Paper 2013

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56.

57.

58.

59.

A solid metal sphere of surface area S 1

is melted and recast into a number of smaller spheres. S2 is the sum of the surface areas of all the smaller spheres. Then

1. s, > s2 2. s2 > s, 3. s, = s2 4. S1 = S2 only if all the smaller

spheres of equal radii

Which of the following is an irrational number?

I. .J41616 2. 23.232323 ...

(I+ .J3)'- (I- .J3 )' 3. .J3 4. 23.10100100010000 ...

Re.l and Rs.5 coins are available (as many required). Find the smallest payment which cannot be made by these coins, if not more than 5 coins are allowed.

I. 3 2. 12 3. 14 4. 18

Median of a data set IS a number which has an equal number of observations below and above it. The median of the data 1, 9,4,3,7,6,8,8,12,15 is

I. 7. 5 2. 7 3. 8 4. any number between 7 and 8

23

56. ~ s, ~ ~ om mu * ~ <!iT fli €1 ~I if> ( ffll 'lTffi if <m'!1 ;;miT ~ I

Sz .,.qr ffll llTffi c); ~ ~ "f)l

~~I Oil

I. S1 > S2 2. Sz > S, 3. S1 = Sz 4. S1 = Sz 'lfR ~ .,.qr ffll ~ WlR

~3ll<t "tl

I. .J41616 2. 23.232323 ...

(1 + .J3 )' - (1- .J3 )' 3. .J3 4. 23.10100100010000 ...

58. Re.J om Rs.5 c); ~ ~ "t ('f;r<A

"i11t m > 'ltR s fu<liflT .t 3lftlifi ~

<rnqft~mhrrmif~

l:fRIR ~I

I. 3 2. 12 3. 14 4. 18

59. ~ ~ qft 111f'f.2lif)l ~ ~ ~

f;mcf; '3i1f< om -;ft"il ~ll:T'lll '1ft ~

<rUiR ~I I, 9, 4, 3, 7, 6, 8, 8, 12, 15

~ qft 111f'f.2lif)l ~

I. 7 ·5 2. 7 3. 8 4. 7 om s * <ifq ~ ~

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Page 26: NTSE SAT Solved Paper 2013

60.

61.

Suppose you walk from home to the bus stand at 4 kmlh and immediately return at x kmlh. If the average speed is 6 kmlh then x is

I. Skmlh 2. IOkmlh 3. 12km/h 4. cannot be determined unless the

distance from home to bus stand is known.

From about 13th century to the time of the French Revolution sumptuary laws were expected to be followed strictly to:

I. regulate the behaviour of the royalty.

Y. regulate the income of people by social rank.

3. control the behaviour of those considered social inferiors.

4. provide religious sanctity to social behaviour.

24

60. llR ~ f.l> 3lTI! <m ~ ~ OR (Iii;

4 km!h <n't l1fu ~ mm f am ~ X km/h ~ CIT<m -m f1 "l!R ~ l1fu 6kmlhtmxt

I. Skmlh 2. !Okmlh 3. 12kmlh 4. "'itt f.!!-.lim! ~ ;;n ~ ~ (Iii;

OR ~ iH! ~ 'fl1 ;_ft ~ 'l 'f;\ ~I

61. WJ1!lT I3<if .ro ~ m ~~>ifilftl ~

(Iii; l!fi!f .r.itft ~ ~ 'IR'A ~ ~

~~~·

I. ~ 'lft<m: ~ ~ f~lf'lljM WI 2. ftl'llf"l'*' ~ ~ ~ m <n1

31Pl f~lf'll:&'q WI 3. ftl'llf"lifl ~ ~ f.!l:f ~ ;;n:t <m"'

m ~ C!!Cm< 'R f.F.i;r1rr w1 4. ftl'llf"lifl ~ ~ "fffi:fq; at:pi)0:'1

iiAl WI

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f l 1 \

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62.

63.

Choose the correct response from the

given options.

On 3'd March 1933 the famous

Enabling Act was passed to:

'0L establish dictatorship in Germany.

J give Hitler the power to rule by

decree.

c. ban all trade unions.

d. ban all political parties and their

affiliates.

~/ only a and b are correct

2. only c and d are correct

3. a, b and c are correct

4. only d is correct

Enclosures in England were seen as :

I. hindrance to agricultural expansion

and crop rotation.

J hindrance to commercialization of

agriculture. 3. necessary to make long-term

investment on land, agriculture and

to plan crop rotation to improve the

· soil. 4. necessary to protect the interests of

those who depended on the

commons for their survival.

25

62. f"l"''f{'tf(!lla f<l<liM ll ~ '<liT ~ ~~

3 1'lfif 1933 qi\ ~ I ~4Cilft'i1 1 ~I

~ '1m fcl;ln "PU en * a. ~ ll dHI~IIJI qit ~ m wt1

b. ~qi\~~~~~

qit ~ .flffi ~I

c. Ol'lit ~ >f-PR 'lit ~ ""' Wu ~

d. ~ <l"'.,lfaq; ~ i'l!lf ~

6tl<tifli<U' <ii\ ~fd<ifl.td ~ ~ ~I

I. ~ (a) am (b) ~~I

2. ~(c) am (d) ~~I

3. (a), (b) am (c)~ ~I 4. ~(d) ~tl

63. ~ :q ~ ~ ( il;1#thj{) qi\ ~

~ ;;mrr en -

1. ~ fcR:<m: am :tfim'! ~ ll omn1

2. <rfil qi O!jq6fil1Cii(OI ll omtll

3. 'If4 am~ ll ~ f.lcm <t ~

i'l!lf <rfi! 'If4 <Iii fi <RR ~ ~ ~ qit $At 'ffi!4 q; ~ i>M~ll<li I

4. ~ w qit ~ q; ~ i>ll<t~<t<li ~ am~<t~~m'R

f.I>R ~I

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64. The Balkans, which was a serious source of nationalist tension in Europe after 1871, was a region comprising of:

I. Romania, Germany, Poland, Bulgaria.

2. Romania, Prussia, Greece, Croatia and Serbia.

3. Serbia, Austria, Bulgaria, Slovakia and Poland.

~"Serbia, Bulgaria, Greece, Croatia, Romania.

,r65 /" ' ..... __ ~'-"'

What was Rinderpest?

I. A disease of cattle plagues that spread in Africa in the I 890s.

~: Bubonic plague which spread in the region of Maharashtra in the 1890s.

3. A type of cholera that spread in Assam in the I 890s.

4. A devastating bird disease that was imported to Italy from British Asia, through chicken meat.

66. Which of the fOllowing is a correct match?

I. Rashsundari Debi - Istri Dharma Yichar

2. Ram Chadda - Amar Jiban vk Kashibaba - Chote Aur

Bade ka Sawaal

4. Sudarshan Chakra- Gulamgiri

26

64. 'fl'!_ 1871 ~ ~~'If Ulli!ql{\ <RIC! qrr

1!,<fi lj'ifu: ~ <ii('lq) 1 $i ~I ~ $i 'If f1""lf<!if&d ~ ami i

65.

66.

I. {)4if1111, ~. u, '¥"'11fti11

2. \l•nf1111, ~. "lfm, if;ll1/1111 "Q.Ci ~

3. ~. ~. '¥"'11fti11, &ilqlf'fii11

"Q.Ciu 4. ~ '¥"'11ft111, "lfm, $lf.MI, U41f'1111

ffMh<: '1111 ~?

I. ~ ~ ~ 'qil WI orr 1890 ~ W<!> 'If ~ 'If ~ ~I

2. ~r1'*' ~ orr 1s9o ~ W<l> 'If ~'If~~~

3. ~ 'fiT 1!,<fi V<liR orr 189o ~ ~ 'If 3lWI 'If ~ ~I

4. ~ 'qil 1!.'fi ~ WI orr '!PI *' l'l'ffi c~ me) *' '41'!21l! ~ f.ful ~~~3W!TI

f1""lf<!if&a 'If 'lit.! m fl:R1R mit t? I. @~;;:{] ~ - ~ 1-.llf fcRm:

2. 'ijlf ~ - ~~

3. ~ 'II"'T - ·mhm ~ 'qil ~

4. ~~ - ¥114filf<

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I

67. Printing created possibilities of wider circulation of ideas. Who of the following hailed pnntmg as the ultimate gift of God?

I. Martin Luther ~- Menocchio

3. Roman Catholic Church 4. Gutenberg

68. TheForestActofl878divided forests into:

I. reserved and protected forests. 2. protected and vi II age forests. 3. bio-sphere reserves and wild life

~tuaries. ~reserved, protected and village

forests.

69. Consider the following statements and identify the correct response from the options given thereafter:

Statement 1: Hitler said 'In my state the mother is the most important citizen'. Statement II: In Nazi Germany while boys were taught to be ag,gressive, muscular and steel hearted; gtrls were told that they had to become good mothers.

I. Statement I is true but statement II is false.

2. Both statement I and statement II are true but statement II is not the correct explanation of statement I.

3. Both the statements are false. iA.-Both statement I and statement II

are true and statement II is the correct explanation of statement I.

27

67. ~ "' ~ ~ ~ ~ 'liT ~'qq 'Rfl1r 1 ~ 'liT W-R 'liT m ~ t-=~ ~~m!m?

I.~~~ 2. q'1)f~W1)

3. rn ~ "ii'! 4.~

-68. <VI. 1878 ~ ~ v:<R "' ~ 'liT ~

V<fiTU -q f<;r'llf;rn ~:

I . wfl\1<1 v:<i mfl\1<1 ~ 2. mfl\1<1 v:<i Tjfq ~ ~

3. *"'-~ ~ v:<i cp.f -.ftc! 31~ 4. ¢15<1, mfl\1<1 v:<i Tjfq * ~

69. f1'"1fc:1f@o q;~ 'R ~ q;f am <if'!; -q ~ lfll: fq"' ril' if ~ 'liT 'Wi'IR q;f:

q;?.R I: ~ ":l 'ifim '~ ~ if llf<11

m q6~'i."r ~ t1' q;?.R II : ~ "f'f;fi if ~ 'liT 3ll<;t>lq'*'. ~IFC1<1~n(1"1 am ~ m ·'fiT m ftmwn 'iffiiT 2l1 ; <'1 s f'l> I.1T 'liT q;m lf1ll f<i; ~~~~tl

I. q;l!f'l I ~ t 'R q;l!f'l II 1Jffil t I 2. q;I!R I <12ll q;l!f'l II -ey,n ~ t 'R

~ II q;~!Ff I oR -m\ Ol!JW.!T 'ITff t I 3. ~ q;l!f'j 1Jffil tl

4. q;l!f'l I <12ll q;l!f'l II -ey,n ~ t am q;I!R II q;l!f'l I 'fiT ~ O!!l1Jilll t I

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70.

71.

(I)

(11)

(lll)

(IV)

Consider the following statements and choose the correct response from the options given thereafter:

Statement 1: The major cricket tournament of colonial India, the 'Quadrangular' did not represent regions but religious communities. Statement II: The victory of the 'Hindus' in the 'Quadrangular' cricket tournament in 1923 was equated by a cricket fan with Gandhiji's war on 'untouchability'.

,......t:/ Statement I is true but statement II is false.

2. Statement I is false but statement II is true.

3. Both statement I and statement II are true and II is correct explanation of statement I.

4. Both statement I and statement II are true but statement II is not the correct explanation of statement I.

Match the following columns :

Column A Column B Ambedkar established the (A) December, Depressed Classes Association 1929 Gandhiji began the Civi (B) August, Disobedience Movement 1930 Gandhiji ended the Civil j("C) March, Disobedience Movement 1930 Congress adopted the demand (D) March, for 'Puma Swaraj' 1931

I. (I)- (C), (II)- (D), (III)- (B), (IV)- (A)

,_Y. (I)- (B), (II)- (C), (III)- (D), (IV)- (A)

3. (I)- (C), (II)- (A), (III)- (B), (IV)- (D)

4. (I)- (D), (II)- (C), (III)- (B), (IV)- (A)

28

70. f'1"'1f(']fl§ld q;~ 111: fcrcm: 'lit 3ih: ow:: ii ~ lJll: f<l<t>c-q'i ii mft q;"t ~ 'lit: 'ifiv:r=l I : ili')qf'1~f~l<t> 'llml <liT ~

~ ~ 'ilq""hi"n<l' (qql~¥1<)

fclf*"! a:tn' <liT "!if, ~ fclf*"' mfif'li ~ <liT 'l!fuf.ff~ ~ "-111

(I)

(11)

(lll)

(IV)

'ifiv:r=l II : v:<ii ~ 'lltft "2t ~ 1923 <fi 'i!qiS<f;lUfl<j' (qql{¥1<) ~ ~ ii iTt! • ~· q;"t -;;fffi q;"t 'WR' ' 3lf'W-l d I '

q; ~ l!Tm ;;IT ~ ~ ..t q;1 1

I. q;~ I mft i 111: q;~ II 'l'fffil i I

2. q;~ I 'l'fffil i_ 111: q;~ II mft i I

3. q;~ I o"-11 q;~ II <::Rf mft t f<!iTI q;~ II q;~ I q;"t mft OliiWil i I

4. q;~ I <1"-11 q;~ II <::Rf mft t f<!iTI q;~ II q;~ I q;"t mft OliiWil "!if i1

~A ~B

~ ~ -.::fum '!'! ""' (trn.; (A) ~1929

~ ~)ftl1:1~1~) qft ~ <t~'i

'lftil ;;ft ~ 'l1'1ftq; 3lq,IT ~ (B) 31'ffi1 1930

am'<r ~· 'lftil ;;ft ~ 'l1'1ftq; 3lq,IT ~ - (C) '"" 1930

~.

...rn. ~ ''r'f ~· "" '"" ""' (D) '"" 1931

I. (I)- (C), (II)- (D), (III)- (B), (IV)- (A)

2. (I)- (B), (II)- (C), (III)- (D), (IV)- (A)

3. (I)- (C), (II)- (A), (III)- (B), (IV)- (D)

4. (I)- (D), (II)- (C), (III)- (B), (IV)- (A)

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72. Consider the following statements and choose the correct response from the options given thereafter:

73.

Statement 1: The Act of Union 1707 led to the formation of the "United Kingdom of Great Britain". Statement II: The British parliament was henceforth dominated by its English members.

I. Both statement I and statement II are false.

J! Both statement I and statement II are true and statement II is the result of statement I.

3. Statement I is true but statement II is false.

4. Both statement I and statement II are true but statement II is not a result of statement I.

Consider the following statements and choose the correct response from the options given thereafter: Statement 1: Traders and travellers introduced new crops to the land they travelled. Statement II: Noodles most likely travelled from China through Arab traders to Sicily. Statement Ill: Potato reached the West through travellers and became the staple diet of the poor.

I. Statement I and statement III are true.

2. Statement II and statement III are true.

3. All three statements are true.

v( Statement I and statement II are true.

29

12. f.l1:::l ~ -.n: Wm: ~ am ""' .q ~ lfll: F<:t<!i("qT '# .ret 'lft ~ ~: ~ I : ~ 1707 "<t v:<R 31fq; ~ ~

• 1-11~a:s F<ti'IS4 31fq; "lk ~· <t l'fO"t

'fiT ~ flf;"1ff I

~II :~""'~~mll

m ~'fiT~ <611

I. "iii~ I om "iii~ II c::Rl lR'RI t I 2. "iii~ I <l?:fi ~ II c::Rl .ret t ~ ~ II, ~ I 'fiT 1!fturr4 ~I

3. "iii~ I .ret t 1R "iii~ II lR'RI ~I

4. "iii~ I <l?:fi "iii~ II <::Rf .ret t fil;'q

"iii~ II, "iii~ I 'fiT 1!fturr4 -:m ~I

73. f.l1:::l ~ 1R Wm: ~ <l?:fi ""' '# ~ lfll: fqq;("ql' '# .ret 'fiT WR ~:

~ 1 : Olii41F<4T am ~ ~ 6'1 m '# ~ ~ qft W'3ll<l qft -;;rn'i " lfll:l

~ II: ~ "'11ct ~ f.!; ~ ;;fA ~ 31T<i Olli4il1<fl' &lU fum;!\ ~I

~ III : Olll4if<<!l' "<t &ro 31R'L ~

~ <l?:fi ~ 'fiT ~ $A iiR Tf'nl

I. "iii~ I <l?:fi ~ III .ret t I 2. ~ II <l?:fi ~ III .ret t1

3. "'ift <ft;:fi ~ .ret tl 4. ~ I <l?:fi ~ II .ret t1

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74. Assertion (A): Gandhiji's idea of satyagraha emphasised on the power of truth and the need to search for truth. Reasoning (R): Gandhiji believed that a satyagrahi could win the battle by appealing to the conscience of the oppressor. Select the correct option !rom the given alternatives.

I. A is true and R is false.

[....2/Hoth A and R are true but R is not the correct explanation of A.

3. Both A and R are true and R is the correct explanation of A.

4. Both A and R are false.

75. Assertion (A): The Civil Disobedience Movement was different from the Non-cooperation Movement. Reason (R): People in the Civil Disobedience Movement were asked not only to refuse cooperation with the British but also to break colonial laws. Select the correct option from the given alternatives.

I. Both A and R are true but R is not the correct explanation of A.

2. Both A and Rare false.

3. A is false but R is true.

~oth A and R are true and R is the correct explanation of A.

30

7 4. f<r.m: (A) : 1Jim ;;fi '1>1 fit<! I !16 "'R1lTT "'t <1M '1>1 ~ <fqj <1M '1>1 ~ '1>1 611Cl~'l<l><11 'R ~ Wnl

lilt < R > : llfm ;;ft 'liT mctrn m f<n 3i<i"i'l\<l> '1>1 ~ <l ~ """ ~ fiMI!Ii!l ~ ;;fio <1<li<IT "t1

f.!l'f FCI<ii<:-Yl. -q ~ ~ ~~

I. (A) ~tom (R) lR'ffi "t1

2. (A) om (R) "$iT~ t f<9 ( R ) , ( A ) 'f>1 <m O!!fl9!ll "'f61' t I

3. (A) om (R) "$iT~ f f<9 ( R), (A) '1>1 <m O!!fl9!ll "t1

4. (A) <~qJ (R) "$iT lR'ffi t'1

75. f<r.m: (A) : 1J1iftq; ~ ~ 3ffl6'll'l ~ <l f~ ml

lilt ( R): 1J1Iftq; ~ ~ -q ffi<l1 ~ "<1>61 TPIT f.!; "'! ~ ~ m!<iiT q;l

~ "'! ~ ~ oj\qf14fl!l<l> ~ "" 3('fi€11 'Iff ~I

f.!l'f Pl<iit>4T if ~ fcRit>q ~:

I. (A) om (R) "$iT~ t f<9 ( R ) , (A ) '1>1 <m O!!fl9!ll "'f61' 't1

2. (A) om (R) "$iT lR'ffi t1

3. (A) lR'ffi tom (R) mit "t1

4. (A) <lm (R) "$iT mit f om (R),

( A ) 'f>1 <m O!!fl9!ll l I

18!

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76. Assertion (A): Coal is a fossil fuel.

77.

Reason(R): It ts formed due to compression of inorganic material over millions of years.

Select the correct option from the given alternatives.

I. Both (A) and (R) are true, and (R) explain (A)

2. Both (A) and (R) are true, but (R) , does not explain (A)

~ (A) is true and (R) is false 4. (A) is false and (R) is true

• Assertion (A): The sun rises in Arunachal Pradesh about two hours before Gu jarat. Reason(R) : Arunachal Pradesh is on a higher latitude than Gujarat.

Select the correct option from the given alternatives.

I. Both (A) and (R) are true, and (R) explain (A)

2. Both (A) and (R), are true, but (R) does not explain (A)

3. (A) is true and (R) is false J. (A) is false and (R) is true

78. Assertion (A) : In India, east coast has more seaports than the west coast. Reason(R) : The east coast is broader and is an example of emergent coast. Select the correct option from the given alternatives.

I. Both (A) and (R) are true, and (R) explain (A)

2. Both (A) and (R) are true, but (R) does not explain (A)

3; (A) is true and (R) is false J. (A) is false and (R) is true

S/47 TAT/13-HJNDJ-sAT -3.

3 I

76. fcf;m: (A) : ~ v_<t; aflql~'l ~~ i1

act (R): ~ 31Cii141'""1Cii mlf!ft <t R <llf aq; <;of W't ~ <R<IT il

f.ri:f f<l<iil"'ll. -q .m "<tiT "'ifiFI "<tit':

I. (A)<!~ (R) <::RJ tm t afu: (R),

( A ) qft Clffi9?.ll "Cii«<T i I 2. (A) ~ (R) <::RJ tm t ~

( R ) , ( A ) qft Clffi9?.ll -;fflf <mT I

3. (A) tm i afu: (R) llffil i1

4. (A) llffil i <!~ (R) tm i1

77. fcf;m: (A) : <;i~OII'iR'I ~ ll ~ ~ ~ "' ti2 ~ m<n i1 act (R): ->l~OII'i'R1 ~ ~ ~ icc)

31~ 'R il

f.ri:f f<N>I"'l T -q .m "<tiT "'ifiFI "<tit' : I. (A)<!~ (R) <;)'lltm t afu: (R),

( A ) qft Clffi9?.ll <mT i I 2. (A) ~ (R) <;)'lltm t ~

( R ) , ( A ) qft Clffi9?.ll -;fflf <mT I

3. (A) tm i afu: (R) llffil i1

4. (A) llffil i <!~ (R) tm i1

7 8. fcf;m: (A) : 'qffiJ ll '1ftqlft <R ~ 31f~

~ 'Fff <R 'R tl act ( R) : 'Fff <R aTII-.f<fi ~ i afu: ~ ~ <R "<tiT d<;ltHOI i1

f.ri:f fq<ti<."4l -q .m "<tiT ~ "<tit'l

I. (A)~ (R) <;)'lltm t afu: (R),

( A ) qft Clffi9?.ll "Cii«<T i I 2. (A) ~ (R) <::RJ tm t ~

( R ) , ( A ) qft Clffi9?.ll -;fflf "Cii«<T I

3. (A) tm i afu: (R) lJffil i1

4. (A) llffil i <r~ (R) tm i1

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Page 34: NTSE SAT Solved Paper 2013

79. Which pie diagram represents India's age composition in 200 I?

80.

81.

Iii! Child

•Adult

OAged

iii Child

•Adult

OAged

Assertion (A) The north western parts oflndia receive rainfall in winter. Reason (R) : The winter rainfall in India occurs due to North East monsoon. Select the correct option from the given alternatives.

I. !\_./

Both (A) and (R) are true, and (R) explain (A)

2. Both (A) and (R), are true, but (R) does not explain (A)

3. (A) is true and (R) is false 4. (A) is false and (R) is true

Which four major ports of India lie on the Golden Quadrilateral?

I. Chennai, Tuticorin, Mangalore, r Marmapo

( 2) Kolkata, Chennai, Mangalore, · Mumbai 3. Marrnagao, Mumbai, Kandla,

/':'' Mangalore J-4.1 Kolkata, Mumbai,

' Vishakhapatanam, Chennai

32

79. "1'1..2001 ii 'lffi(l '1ft ~ "1'1fi&11 'f;l

"ml fclcwJr 'l>'t.r m ~ lJlll> ~ t?

E1 Child

•Adult

OAged I

-----'

I!!Child I •Adult f

I DAged [

80. ~ (A) : 'lffi<l "<t Offi:-~ 'qi'J ii ~ il i1 <!i 1<!1 if Cfl'lf mt t I lllf; ( R ) : 'lffi<l if ~ il il<!i I <!1 '1ft Cfl'lf Offi:-'[iff ~ <t ~ <t <.fiR1ll mt tl ~ 7J?l f<l<iit"4T ii <l "ml ~ ~~ I. (A) <!~ (R) G.RJ "ml ~ <1~ (R),

(A ) '1ft O!!R§ql 'li«<l t I 2. (A) ~ (R) G.RJ"ml ~ ~

( R) , (A ) '1ft O!!R§ql -.m 'li«<l I

3. (A) 'mt t am (R) lJffil t1

4. (A) lJffil t ~ (R) "ml t1

81. 'lffi(l * 'l>'t.r ~ >m 1j1§!l ~ m ~ (~ qqjf~~i!0«!1) "tR ~ ~?

I. ~. <t<flq;lft'l, ~. 'i{'lt•tfq

2. <iil<!1<!ii11, ~. ~. ~

3. 'i{'il11i<l, ~. ~. ~

4. <iil<!1<iii11, ~. fq~ll@4<1'1'i, ~

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Page 35: NTSE SAT Solved Paper 2013

• ' l j

l '

/

i

t

\

\ \ ' • j

{ l l I ' \ l

l l \

I I

I I i l l i

I j j

82.

I.

2.

Match the fishing ports indicated on the map of India (1, II, Ill and IV) with their respective names.

A. Kakinada B. Alappuzha C. Porbandar D. Tuticorin

11-A, III-B, 1-C, IV-D

1-A, 11-B, III-D, IV-C

~-C, 11-B, III-A, IV-D

4.

83.

1-D, 11-B, IJJ-A, IV-C

Which figure relates the trend of population Growth rate of India from 1951-2001?

33

82. 'II«! ~ 41'1fil'l -q ~ 'Ill; ~ ~ ~ •i<::<'lltiT (I, II, lii am IV) q;r ~ 'IJlf <l ftRoiA ~I

A. q;ffil;'11sl

B. 3l<ili~l

c. ~ D. 'l <il q;1 R1

I • • •

I. 11-A, III-B, 1-C, IV-D

2. 1-A, 11-B, III-D, IV-C

3. 1-C, 11-B, III-A, IV-D

4. 1-D, 11-B, III-A, IV-C

83. tq 1951-2001 ~~'II«! '1>1 "11~i&ll ~ '1>1 ~ <l <tR m 3i1W ~'!I<! t?

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Page 36: NTSE SAT Solved Paper 2013

84. Assertion(A): The Himalayan ranges show change in vegetation from tropical to tundra. Reason (R): In mountainous area with increase in altitude there is cooesponding decrease in temperature, which leads to change in vegetation types. Select the correct option from the given alternatives.

I. Both (A) and (R) are true and (R) explain (A).

~· Both (A) and (R) are true but (R) does not explain (A).

3. (A) is true and (R) is false. 4. (A) is false and (R) is true.

85. Which of the following methods are used to restrict soil erosion? A. Ploughing along contour lines B. Strip cropping C. Jhumming D. Mixed farming

y' AandB 2. A and C 3. Band D 4. Band C

86. Assertion (A): Although only the southern part of India lies in tropical region, the whole of India has tropical climate. Reason (R): Himalaya mountain ranges protect it from the northerly cold winds. Select the correct option from the given alternatives.

I. Both (A) and (R) are true and (R) explain (A)

2. Both (A) and (R) are true but (R) does not explain (A)

3. (A) is true and (R) is false. ~. (A) is false and (R) is true.

34

84. frr.m (A) : ~qJ('t<l ~ 3Wiififl•ilil<l .t ~ IIC!i Cl'lf'l f<l .q f1r-1<rr <:;Wit tl Cli6 (R): ~ $r ll ~ qit ~ 'li met-~ <IJllllR f1mll t, f;rmi CRf'lft! qi V<fiR ~ tl ~ ~ f<lifi("lT 1l .t .ret ~ 'f11 I. (A) (fYU (R) ~.ret t (fYU (R),

(A) qit ~ <ii«<l t1

2. (A) (fYU (R) ~.ret t w.n ( R ) , ( A ) qit O!ffiS<l1 "!iff <ii«<ll

3. (A) .ret t am (R) 7Jffi! t1

4. (A) 7Jffi! t ai!U (R) .ret t1

85. 'i!\RUI q;l ~ <t ~ f-l"''fi?lfuid <l>t-! .t ~ ~;;m! t? A.~~ B.~~ c.~~ D. Pmrn ~

I. AamB 2. A amc 3. B amo 4. B amc

86. frr.m (A) : ~ 'lim! 'liT 'liCfl'l -ey-8JUil 'IWI m 3&Jiifife•itft>:l $r .q 'l¥11 t ~ "11«1 qit ~ 3&Jiififl<iti\>:i tl wt <R>: ftjqj('j<j '!<fu "f&t'11~ ~ m ~ ~311 .t or;mit tl ~ ~ fqifi("lT 1l .t .ret ~ q;J 'fli

I. (A) (fYU (R) ~.ret t (f'fl (R), (A) qit ~ <ii«<l t1

2. (A) (fYU (R) ~.ret t w.n (R), (A) qit ~ -:m <fi«lll

3. (A) .ret tam (R) 7Jffi! t1 4. (A) 7Jffi! t (fYU (R) .ret t1

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j I

I

SA

87. What does the zig-zag line indicate on the map oflndia?

88.

I

\ I

. .r I

~,Advancement of summer monsoon on I" June.

2. Line dividing tropical evergreen and deciduous forest.

3. Water divide between east and west flowing rivers.

4. Line dividing annual rainfall above and below I 00 em.

Which of the following feature has similar geological structure with Meghalaya, Karbi Anglong plateau and Cachar Hills?

I. Aravalli Range ..___1; Purvanchal Hills

3. Siwaliks 4. Chotanagpur Plateau

,.

35

S/47 TAT/13-HINDhSAT -4

87. '1m<! <6 41'1f-i1~ -q <(t ~ ~-fumt t&T

'f'lT ~ t?

r' /

.• '

I. 1 ~ <li't ~164 'li I <"fl '1 llffifl qft 31ll'lftl 2. dWiififliit..wr ('l<:;l<ih\1( {!~ '!llflffiit CAl (~) <6 -.fRI fcl~ t&T

3. 'ff am ~ <t -.rR~ m <m'ft ~ c); 'lf'ft "'liT fcl~

4. cnf1fq:; 1 oo ~.m. ~ :m""" am <fl4

Cltlf q;'t fcl~ ~ C!R'ft WT I

88. f~"''f<'lf&~ if ~ 'fltff>;r ~

~' """" aWrffirT '1011: "~ "ifi'im

q{\lf~lll" ~ flRorffi-~ t?

1. 3WR'ft ~ 2. ~ q{\lf~llf

3. ~lqlf<'l<li

4. -rncr ~ '1011:

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89. Assertion (A): Sex Ratio in India is low.

Reason (R) : Indian society has been unfavourable to females.

Select the correct option from the given alternatives.

J.< Both (A) and (R) are true, and (R) explain (A)

2. Both (A) and (R) are true, but (R) does not explain (A)

3. (A) is true and (R) is false

4. (A) is false and (R) is true

90. A pilot takes off from an airport at l5°S latitude and flies 55° due North. What latitude the pilot has reached?

I. 55° N ~· 40°N

3. 70° N 4. 15° N

~) Which of the following is not a feature · of Indian federalism?

I. The Constitution creates a strong Centre.

J: The Constitution provides for a single judiciary.

3. The Constitution provides for a common All India Services.

4. The Constitution provides equal representation to the States in the Upper House of the Parliament.

36

89. ~ (A) : 'l!ml "if ffilT 311'ffi! q;q t1 llii (R): ~ ~ ft;rl8 "<t ~ ~I ~ ~ fqifil"l 1f ~ .m ~ "'¥1

I. (A) <1m {R) $IT <reT~ ol!il (R) (A ) , 'fit O!ffi§qJ '~>«!~ ~I

2. (A) <1m (R) $IT <rel ~ ~ ( R) , ( A ) <tit O!ffi§qJ -.m '1>«!11

3. (A) <rel ~ am {R) lR'IO ~I 4. {A) lR'IO ~<1m (R) <rel ~~

90. ~ fqlil1'illt'1ifi l5°S 31~ lR ~ ~ ~ ~ 55° ~ <tit am ~ 3lR1'J '~>«!~ ~I ~ 31~ lR fqlii1"11Mi ~?

I. 55° N

2. 40°N

3. 70°N

4. 15° N

91. f1"1fi.'lf&d 1f ~ <ilt.r ~~<tit fq~)'ldl ""'i?

I. tifclm1 1l:'fi ~ ~ '1ft ~ q;«<J t I 2. tifclm1 ~ ~ "if;! '1ft ~ tiT ~I 3. <ill;{~ 1f ~ muft>:! .rcn <tit

O<jqfl!(f ~ '~>«!~ "tl 4. ~ ~ <t ~ ~ 1f fcif'lR

1ffifl ~ ~ "lrl'ilf.lff.T(q tiT "tl

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I .

I l

I

92.

94.

Which of these guiding value Constitution?

features is not a of the Indian

l. No external power can dictate to the Government of India.

A The head of the State is a h~reditary position.

3. All people are equal before law. 4. Citizens have complete freedom to

follow any religion.

According to Dr. B.R. Ambedkar, which of the following is the 'heart and soul' of our Constitution?

l. The Preamble 2. Right to Equality 3. Right against Exploitation

yt-:/Right to Constitutional Remedies

Democracy is considered to be better than other forms of government. Which of the following statements support this claim?

~ It is a more accountable form of government.

'---B: It improves the quality of decision­making.

C. It ensures rapid economic development of citizens.

v11. It enhances the dignity of citizens.

.....,.--;.. B and D 2. A and C 3_ A, Band C 4. B, C and D

3.7

92. f1"1ft'~f&d -tl ~ q;');J ~ mEl~ 'l>l

f1~~1<ti ~ "'Wf t? 1. ~ orrru "WR~ 'qffif mlfiR <t>T fml -.m~~l

2. ~ "lflliSI 'l>l 'R <;iij<ll'!lil<t> tl

3. <lilT' ~ WI~ ~'1ft ffi'l <ll!R ~I 4. 'tl'tft<t>T <t>'t ~ '1ft tttf 'l>l ~ ~ '1ft 'j_U ~<i'ldl tl

93. sf. ~ ~ ~ 31:FIR f1"1ft'tf&d

-tl ~ q;');J trllR ~ 'l>l ·m am 3lJ<'I« t t? I. Q@<Hi

2. WIR<II 'l>l ~

3. ~~~3lf~ 4. ~mf.!<l; ~ 'l>l 3lf~

94. ('l)<t>d"'l <t>'t mlfiR ~ 3F<I ~ ~ ~

1lRI ~ tl f1"1ft'lf&d q;-~ -tl ~ ~ ~ Gffd <t>'t ~ ~ t? A_ ~ 3lf'!l'<tl" d'!H<;:i<il mlfiR t1

B. ~ f.!$i "ff.{ '1ft lJ"'''"' ~ 'fi"«n

tl

c. ~ 'ti11Rifi)" 'l>l <illf 3llf~ fif<l;m

@11"1'<1<1 "<fl«<T tl

o_ ~ 'ti11Rifii" '1ft 1Jftln ~ t1

l. A, Bam D

2. A afu:c 3_ A, B amC

4_ B. C altt D

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Page 40: NTSE SAT Solved Paper 2013

95.

96.

The Constitution of India was amended in 1992 to make the third-tier of democracy more effective. As a result, at least one-third of all positions in the local bodies are reserved for women. This is because

I. women are good at managing resources.

~though women constitute nearly half of the population, they have inadequate representation m decision-making bodies.

3. we have many powerful women leaders.

4. women are obedient and would follow the constitutional provisions well.

In which of the following economies are people more of a resource?

I. Country A with 78% of the working age population illiterate and with very low life expectancy

~ountry B with I 0% of the · working age population illiterate

and with high life expectancy 3. Country C with 60% of people in

the working age illiterate, but with high life expectancy

4. Country D with only I 0% of population is the working age illiterate, but has very low life expectancy.

rJ I U-l -IJl:f­\o·r. ~<.l.l """-Y-t

(0 / »-- II' Nr '0 I· M1 ..v~

38

95. ~ <); ffii'P:r «!\ q;'t 3lflfili "ll1'lfi'ft 'f'lf'l 'li ~ '1T«ft>:! tif<l'tlR q;'t 1992 -q mffi"«< fon<rr lFIII ~ ~ ~ ~ -q 'I'll <l q;-q v:'ll ~ ~

~:m 'li ~ ~ ~ l!l!;l ~ 'liR"' t-I. qf(\<'11~ ~ 'fiT ~ ~ -q ~m<i\~1

2. >rnfi! "11~l&OII lf ~aTI 'fiT ~ Wl'lllT anm t ~ f1•[4<t;IU

~:m -q ~"'(q ~ "tl 3. ~ "46'i am;~~~~~ 4. '"lf6<.'11~ "llifll<t;IU m-m -~ am ~

")!l"qri 'l>l ~ m 'm'R ~~

96. f1"1f<.1f&d 3l~aTI -q ~ "<.'1Trr

"ffi:rr!R 'li ~ -q 3lflfili ~ -;;ml ~?

I. ~ A • ""1m 78% <t; I ¢I il <.'1 "11*1.\941

f.rw\ (!~ ~ "tl

2. ~ B ~

""1m 10% <t; I <h il <.'1 \i1'1{'f(§41

f.R!\R <!~ ~ "tl 3. ~ c ~

""1m 60% <t; 14~ i1 <.'1 "11*1.\941

f.rw\,~~"tl 4. ~ D

~

10% 'fi l<i ~il <.'1 "11*1.\941 ""1m

f.rw\,~~"tl

l

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I

I ' i

! )

t

' •

I

I

J

,

'

,

97. Which of the following statements is 97. true of agriculture in Indian economy between 1973 and 2003?

I. The sectorial share of agriculture in () employment has decreased fare_.\.} more than its share on total output.

2. The sectorial share of agriculture in e-~ total output has decreased, but its o~ share in employment has increased.

J The sectorial share of agriculture in :>1

total output has increased, but its F;: C share in employment has 0

decreased. 4. The sectorial share of agriculture in .,.s

output has decreased far more than • its share in total employment.

F1"1f<'tf&a .q ~ m-<~~ q)l!f-1' 1973 ~

2003 ~ <i'fq ~ 3l~ .q <fifi! ~ 'IR .q <lit t?

I. 3l~ .q <fifil ~ '111 ~

~ ~ O<"lR .q ~ '1ft WRI .q ~ 3lfifi!i f7ro I

2. ~ O<"lR .q <fifi! '111 mm f7m.

~~.q~mm~' 3. ~ O<"lR .q <fifi! '111 mm ~. ~~.q~mmflm1

4. ~ O<"lR .q <fifi! '111 mm ~ .q ~ ~ '1ft ¥Rl .q ~ 31N<f;

flml

98. Which of the following can be 98. f1"1f<'tf&<1 .q ~ ~ 'lW<! .q 'lrfl.t8J ~

considered as Foreign Direct

Investment made in India?

A. The TAT As acquire Corus steel

plant abroad.

~·· Mr. Donald, an American citizen,

acquires I 00 shares of an Indian

listed company.

C. The remittances sent by an Indian

doctor in Dubai back to his

hometown in Kerala.

,j}. The US multinational Google

opens its full-fledged unit at

Gurgaon, Haryana.

I. (A) and (D)

2. (A) and (B)

t)/(D)only

4. (B) and (C)

39

A. GlGI GTU ~ .q 'film ~ ~ 'liT

3lf~ 'IWIII

B. ~ "'T''ftq; fll. sAws GTU v:q;

~ ~ q;iFi't '111 I 00 00 l9fl<:: Wnl

C. ¢ Wm v:q; ~ ~ GTU '!itt! .q areA lJ6 "ffR .q ~ ~I

o. ~ <l~w{\'1 q;iFi't 'rR" wu tf<'ll"ll ~ ¥.11'ici .q 3l'Fit ~:

~~~~

I. A am D 2. A amB 3. ~D

4. sam c

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99. We accept paper money as a medium 99. ~ fqf•t4<! lfl'afll ~ futl: ~ ~ <n1 of exchange because ~ 'i'f>«! if ~ I. it has gold backing.

LYlhe law legalizes it.

3. Reserve Bank of India has precious metals against which it prints notes.

4. everyone else accepts it.

I 00. Which of the following refers to trade barrier in the context of WTO?

I. R~strictions on domestic trade ~L Not allowing companies to do

foreign trade beyond specific quantity

,_ Ill. Restrictions on the export and import of goods

'-:-tV. Restrictions on the price fixed by companies

I. (I), (II) and (lll)

J (II), (lll) and (IV)

3. (lll) and (IV)

4. (1), (II) and (IV)

40

I. ~ «1'11 ~ '1>1 Wl$1 ~ tl

2. 'f>IT! ~ ~"«~! <l:m t I 3' "ll«il<l fu;rcf ~ ~ '1m 'iri q 11 ~

if ~ :m"ffi 'R qw ~ ~ t1 4. w•ft ~ ~ 'i'f>«< if1

100. ~ O!JI1lR ~ (WTO) ~ *'4 ll f1"'1ft'1f@d -q -tt ~ O!JI1lR -q 3l<Rt'tl '1>1

~ <n«<T t? I. ~ O!JI1lR q;') mfi:«!t>rftraif'tl<l <n<-lll

II. <!i. qf1"1T -q;] ~ 1lT'lT 'tt aU'tl'li

f<fW O!JI1lR 'Ill 3lJl!fu "' t-Ill II I. ~an ~ 3Wffi!-f.r1rt<r -q;j mfi:«!;

'llftr<if'tl<l 'liB! I

IV. <!i'qf1"11' &m ~ f.:!'tlRuJ q;') mfi:rd; 'llftr<if'tl<l 'liB! I

I. (1), (II) 31'h: (lll)

2. (II), (Ill) 31'h: (IV)

3. (Ill) 31'h: (IV)

4. (1), (II) 31'h: (IV)

'

'

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Page 43: NTSE SAT Solved Paper 2013

ENGLISH

ANSWERKEY

NTSE STAGE-II (2013)

CLASS-X [LANGUAGE]

HINDI

Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans 4 3 3 1 4 3 2 2 4 1 3 2 4 4 1

Ques. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans 3 4 2 1 1 3 3 1 3 2 1 2 2 1 4

Ques. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Ans 1 4 1 4 1 4 2 3 3 1 1 3 2 3 2

Ques. 46 47 48 49 50

Ans 1 3 2 4 4

Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans 2 2 3 1 2 3 2 1 4 1 3 2 4 3 1

Ques. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans 1 4 2 2 1 3 3 1 3 3 1 2 2 2 4

Ques. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Ans 2 4 1 4 1 4 2 3 3 1 1 3 2 3 2

Ques. 46 47 48 49 50

Ans 1 3 2 4 4

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Page 44: NTSE SAT Solved Paper 2013

CHEMISTRY

15. Liquid A gives a more cooling sensation than liquidB means liquid A is early vaporised than liquid B.Thus, liquid A has less B P and lower latent heat ofvaporisation than that of liquid B.

16. A B C

Solublein water

Insoluble in water

soluble in water and also sublimable

First of all �C� can be separated from the mixture bysublimation. Thereafter, the mixture of �A� and �B�can be put in water, filtered to separate B and recoverA by crystallisation.

17. 2H2 + O

2 2H

2O

4gm 32gm 36gm2gm 16gm 18gm2 + 16 = 18 gm

18. No. of electrons in L shell = 7No. of protons = 9Electronic configuration = 2,7By acquiring one e� in L shellgets 8e� in the last shell.

19. This reaction takes place in presence of oxygen.Hence, it is a combustion reaction and in thisreaction there is a addition of two elements so itis combination reaction.

ANSWER KEY

HINTS & SOLUTIONS

NTSE STAGE-II (2013)

CLASS-X [SAT]

20. CaCO3 + mineral acid

CO

2

)Y(

)OH(Ca 2 CaCO3

(X) (X)

Ca(OH)2 + Cl

2 CaOCl

2

(Y) (Z)Bleaching powder

21. [A]CH3 �COOH+NH

4OH CH

3 �COONH

4 + H

2O

weak acid weak base salt

[B] Na2O + H

2O NaOH + H

2

metal oxide base

[C] Mg + 2HCl MgCl2 + H

2

metal salt

[D] Na2 O + 2HCl 2NaCl + H

2O

Metal oxide Mineral acid Salt

22. 2Al + 6HNO3 Al

2O

3 + 6 NO

2 + 3H

2O

|

Protective layer

23.)X(

Na + H2O

)Y(NaOH +

)Z(2H + Energy

NaOH(aq)

+ HCl(aq)

NaCl(aq)

+ H2O

( )

X = Na, Y = NaOH, Z = H2

Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Ans 4 2 4 3 1, 4 2 2 2 3 3 2 4 4or (bonus) 1 3

Ques. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Ans 4 1 4 3 1 3 1 4 2 4 3 4 3 1 2

Ques. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Ans 4 3 3 4 1 3 1 2 3 4 4 1 3 1 3

Ques. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Ans 2 2 4 4 2 2 3 2 2 4 2 4 3 4 3

Ques. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

Ans 3 1 3 4 1 3 1 4 2 4 2 2 1 3 4

Ques. 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

Ans 3 2 2 4 2 4 1 4 1 1 4 3 4 1 2

Ques. 91 92 93 94 95 96 97 98 99 100Ans 4 2 4 1 2 2 4 3 2 2

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Page 45: NTSE SAT Solved Paper 2013

24. Y)Alcohol( ionAcidificat

KMnOAlkaline 4 X)acidCarboxylic(

Y)Alcohol(+ X

)acidCarboxylic( 42SOH

.Conc Z

cetansubssmellingSweet

Hence X = Ethanoic acid, Y = Ethanol,Z = Ethylethanoate

OHHC)Y(

524KMnO

Alkaline COOHCH

)X(3

OHHC)Y(

52 +COOHCH

)X(3

42SOH

.Conc

523 HCOOCCH)Z(

25. C2H

2 is Ethyne and C

3H

6 is propene. Both of them

are hydrocarbon. Hence they would undergocombustion to form CO

2 & H

2O.

Both C2H

2 & C

3H

6 are unsaturated compounds.

Hence they would undergo addition reaction.

26. 2X + 3H2 2 XH

3

Element �X� is placed on R.H.S. of periodic table. Itis non-metal.Element �X� is combining with three monovalent H-atoms. Hence its valency is three. It has 5 valenceelectrons. It is a gas.

27. Element �X� (Z = 12) is Mg and, Element �Y� (Z = 17)is Cl.

)X(Mg +

)Y(2Cl

)Z(2MgCl

Molucular formula of Z is XY2.

Compound �Z� is ionic compound, hence it wouldconduct electricity in molten state.

PHYSICS

28. If air bubble is in the path then sound wave willtake more time to travel this distance.

30. In optical lens (for eye defects) concave lensis used. focal length must be much largerthen 2.5 cm if its is equal or less than 2.5 cmthen it mean that the power point is atapproxmetly 2.5 cm, which is not possible.

31. Since Fg is perpendicular to displacement at

each instant soWork done = 0

32.

AC

BV

Resistance of each bulb is R.

I = R3V2

PA = P

B = R

R3V

2

=

R9V2

.... (i)

PC =

R9V4 2

.... (ii)

When bulb A is fused, then

Now, current, I = R2V

So. PB = P

C =

R4V2

.... (iii)

So, B will be brighter and C will be dimmer

33. Since VAB

& resistance (2R) is same so �i�will also be same

34. KE =m2

p2

P is same so KE m1

35. x is decreasing with decresing speed

37. Average speed =2020

= 1 m/s

maximum speed from graph is between time t= 10 sec. and t = 18 sec.

Vmax

= 1018420

=

816

= 2 m/s

38. g = 2R

GM = 2

3

R

R34

G

= 34

gR

g R

39. Plastic is non magnetic substance and openring does not form magnetic poles so due toinduction only ring Q will experience retardingforce

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Page 46: NTSE SAT Solved Paper 2013

MATHEMATICS

41.

xx

12� 2x

12� 2x

V = x(12 � 2x)2This box has maximum volme when x = 2 cm whichis 128 c.c.So, volume130 cc is not possible.

42. For similarity of triangles we have SSS criteria. SoS

1 in true.

But for polygon : two polygon to be similar if thecorresponding sides are in same ratio thencorresponding angle must be same. So S

2 is not

correct.

43.a a

a

a = 2 3 cm

21

a(x + y + z) = 43

a2

x + y + z = 23

a = 23 2 3 = 3 cm

44. 4 6765201 = 51

45. All odd square can be written in the form 8n+112 = 1 = 8 0 + 132 = 9 = 8 1 + 152 = 25 = 8 3 + 172 = 49 = 8 6 + 1

46.

D C

BA

Area of interior region = a2 �

2

2a

= a2 � 4

a2

= a2

4a4

47. tan1° tan2° tan3° .........tan89°= (tan1° tan89°) (tan2° tan88) ......... tan45°= (tan1° tan1°) (tan2° cot2°) ...........(1)= (1) (1) .............. (1)= 1

48. ax2 + bx + c = 0 will have real roots when c = 0.

49.

S S

SS

If we cut square S from a piece of tin at that timethe volume of open box is 0.But the open box made from S is always be greaterthan 0.So according to this 4th option is not possible.

50. Every parallelogram is a trapezium

51. Triangle (By SSS criteria).

52. Let there are x human being and y dogs Total legs = 2x + 4yone tenth of x human beings lost a leg.

(2x + 4y) �10x

= 77

10x19

+ 4y = 77

when x = 104y = 77 � 19 = 58 (Which is not possible).when x = 3057 + 4y = 774y = 20y = 5 Number of dogs = 5

53. Let if we take n small simicircle of radii rIf we take n small simicircle of radii 2R = 2nr If we take n small simicircle of radii R = nr

Z

Part I = R = nrPart II = n (r)so Part I & II always be equal.

54. From 1 to 50 number.No. which are divisible by 4 = 25No. which are divisible by 6 = 16No. which are divisible by 12 = 8No. which are divisible by 4 or 6 = 25 + 16 � 8

= 33So, number which are not divisible by 4 or 6

= 100 � 33 = 67

So, requred probability = 67

= 0.67

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Page 47: NTSE SAT Solved Paper 2013

55. 2)ba( + 2)ab(

= |a � b| + |b � a|Let a > b Let a < b

then then

|a � b| + |b � a| |a � b| + |b � a|= a � b + a � b = b � a + b � a= 2a � 2b = 2b � 2ai.e. +ve i.e. +ve

So answer is always +ve if a b

56. 3R34 =

34

(r1

3 +r2

3 +r3

3 +..........rn

3) ... (i)

S1 = 4R2

S2 = 4(r

12

+ r

22

+ r

32

+

...........+ r

n2

)

From (i) , we getR3 = r

13

+ r

23

+ r

33

+...... + r

n3

If all smaller sphere are of equal radius i.e. r

then, 3R34 = 3nr

34

R3 = nr3

2

1

SS

= 2

2

rn

R

= 2

3/23

nr

)nr( = 2

23/2

nr

rn

nS1 = n2/3 S

2 n1/3S

1 = S

2 S

2 > S

1.

57. 23.10 1 00 1 000 1 0000 ........ is an irrational numberas it is Non-terminating & non-repeating.

58. Out of the options, 14 cannot be made as it required2, Rs. 5 coins & 4, Rs. 1 coin i.e. 5, 5, 1, 1, 1, 1.

59. Ascending order1, 3, 4, 6, 7, 8, 8, 9, 12, 15

Median = 2

87 = 7.5.

60. Average speed = 6 km/hr.

6 = x4

x42

24 + 6x = 8x

2x = 24

x = 12 km/hr.

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