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7/25/2019 tfgbrgf bfbgfbgfer_1_acegbgf hg fbtf

1/34

Vidyamandir Classes

Aggarwal Corporate Heights, 3rd Floor, Plot No. A - 7, Netaji S!hash Pla"e,

Pitam Pra, #elhi - $$%%3& Phone' %$$-&())$$*%-*3

+est Series - (+// - )%$3

%7$%)%$) PAP/0 - $ 1.1. ' )7%

$%'%% A.1. - %$'%%

P.1.

+/S+ C2#/ '

AC/

+1/ ' 3.%% Hrs

0ead the 4ollowing nstr"tions 5ery "are4lly !e4ore yo pro"eed.

$. The question paper consists of 3 parts (Part I : Chemistry, Part II : Physics, Part III :

Mathematics).

). Part I (Chemistry) contains 3% Straight o!je"ti5e type 6estions. Each question has

4 choices (A), (), (C) an! ("), out of #hich on$y one is correct.

3. Part II (Physics) contains 3% Straight o!je"ti5e type 6estions. Each question has 4

choices (A), (), (C) an! ("), out of #hich on$y one is correct.

&. Part III (Mathematics) contains 3% Straight o!je"ti5e type 6estions. Each question

has 4 choices (A), (), (C) an! ("), out of #hich on$y one is correct.

(. %or ans#erin& a question, an ANS/0 SH//+ 8210 SH//+9is pro'i!e! separate$y.

P$ease $$ your +est Code, 0oll No.an! ropProper$y in the space &i'en in

the A*+E *-EET.

:. %or each question in A$$ Parts, you #i$$ e &i'en 3 1ar;sif you ha'e !ar/ene! on$y the

u$e correspon!in& to the correct ans#er an! 0ero mar/ if no u$e is !ar/ene!. In a$$

other cases, mins 2N/ 8


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Vidyamandir Classes

PA0+ - 8CH/1S+0?9 *% 1A0=S

S+0AH+ 2@/C+V/ +?P/

+his Part "ontains 3% 1ltiple Choi"e estions. /a"h estion has & "hoi"es A, @, C

B #, ot o4 whi"h 2nly 2ne is Corre"t '

1. The ionic mobility of alkali metal ions in aqueous solution is maximum for :

(A) Na+ (B) K+ (C) Rb+ (D) Li+

2. For the reaction, CO!"+ Cl#!" 2 2 2 2 COCl#!"the K$5Kcis equal to :

(A) RT (B) RT (C) %&RT (D) %'(

3. One mole of ma!nesium nitri)e on the reaction *ith excess *ater !ies :

(A) t*o moles of nitric aci) (B) one mole of nitric aci)

(C) t*o moles of ammonia (D) one mole of ammonia

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ ) +est Series - (Paper-$


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Vidyamandir Classes

4. The )ecom$osition tem$erature is maximum for :

(A) !CO- (B) .rCO- (C) CaCO- (D) /aCO-

5. The t*o $articles 0 an) / hae )e1/ro!lie *aelen!ths % nm an) 2 nm res$ectiely' 3f mass of 0 is four times

the mass of /, the ratio of kinetic ener!y of 0 an) / *oul) be :

(A) 2 : % (B) #2 : 4 (C) #( : % (D) % : 2

6. 0n unkno*n sam$le oxi)es of nitro!en is re))ish bro*n an) $arama!netic at room tem$erature but it

)ecolourises an) also loses its $arama!netism on free5in! it' The sam$le at room tem$erature is :

(A) 6ure NO# (B) 6ure N#O4

(C) equilibrium mixture of N#O4an) NO# (D) N#O2

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ 3 +est Series - (Paper-$


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Vidyamandir Classes

7. The correct ionic ra)ii or)er is :

(A) - #N O F Na +> > > (B) N-17 Na+7 O#17 F1

(C) # -Na O N F+ > > > (D) # -O F Na N + > > >

8. 8hich one of the follo*in! com$oun)s !ies only # monochlorination $ro)ucts 9

(A) n1hexane (B) isohexane

(C) #, -1)imethyl butane (D) #, #1)imethyl butane

9. 0 su))en lar!e um$ bet*een the alues of secon) an) thir) ionisation ener!y of an element *oul) be

associate) *ith the electronic confi!uration :

(A) %s# #s# #$; -s% (B) %s# #s##$;-s#-$%

(C) %s##s##$;-s#-$# (D) %s##s##$;-s#

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ & +est Series - (Paper-$


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Vidyamandir Classes

10.

The case of electro$hilic substitution in the aboe com$oun)s follo*s the or)er :

(A) 3< 7 < 7 333 7 33 7 3 (B) 3 7 3< 7 < 7 333 7 33

(C) 3 7 < 7 3< 7 333 7 33 (D) 3< 7 < 7 333 7 3 7 33

11. 3f an en)othermic reaction is non1s$ontaneous at its free5in! $oint an) becomes feasible at its boilin! $oint,

then :

(A) = is e , . is +e (B) = an) . both are +e(C) = an) . both are e (D) = is +e, S is e

12. 0rran!e the follo*in! com$oun)s in or)er of ease of )ehy)rohalo!enation :

The correct choice is :

(A) 3 > 33 > 333 > 3< (B) 3 > 3< > 33 > 333 (C) 3 > 33 > 3< > 333 (D) 333 > 3< > 3 > 33

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ ( +est Series - (Paper-$


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Vidyamandir Classes

13. The oxi)ation numbers of oxy!en in KO#, OF#, =#O#are res$ectiely :

(A) #, #, # (B) #, %, %+ + (C)%

, #, %#

+ (D)%

, #, %#

+ +

14. 8hen borax Na#/4O?" )issole) in *ater, then :

(A) Only /O="-is forme) (B) Only 4@/O=" A is forme)

(C) /oth /O="-an) 4@/O=" A are forme) (D) /oth /O="-an) /#O-are forme)

15. 0ssumin! that =un)Bs rule is iolate), the bon) or)er an) ma!netic nature of the )iatomic molecule

/#*ill be :

(A) % an) )iama!netic (B) ( an) )iama!netic

(C) % an) $arama!netic (D) ( an) $arama!netic

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ : +est Series - (Paper-$


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Vidyamandir Classes

16. Statement : 1 ethylene cyclohexane reacts *ith N/.5CCl4to !ie

as one of the $ro)ucts'

Statement : 2 The stability of alkyl free ra)icals follo*s the or)er : -7 #7 %ia hy$erconu!ation'(A) .tatement1% is True, .tatement1# is True an) .tatement1# is a correct ex$lanation for .tatement1%'

(B) .tatement1% is True, .tatement1# is True an) .tatement1# is NOT a correct ex$lanation for.tatement1%'

(C) .tatement1% is True, .tatement1# is False'

(D) .tatement1% is False, .tatement1# is True'

17. T*o systems2 - #6Cl 6Cl !" Cl !"+2 2 2 2 an) # #COCl !" CO!" Cl !"+2 2 34 2 2 are simultaneously in

equilibrium in a essel of fixe) olume' 3f some CO is intro)uce) into the essel, then at the ne* equilibrium,

the concentration of :

(A) 6Cl2is !reater (B) 6Cl-remains unchan!e)

(C) 6Cl2is less (D) Cl#is !reater

SPAC/ F20 02H 20=


C=#/r


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Vidyamandir Classes

18. .elect correct a)sor$tion isobars for chemisor$tion an) $hysisor$tion res$ectiely : *herex

m extent of

a)sor$tion, T tem$erature"

(A) (B)

(C) (D)

19. 0t *hat tem$erature *ill hy)ro!en molecules hae same K'D' as helium molecules hae at -2 C 9(A) -2 C (B) #E( C (C) %4( C (D) #;2 C

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ > +est Series - (Paper-$


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Vidyamandir Classes

20. The hy)rolysis constant for an aqueous solution of ('% nCl#*ill be :

(A)*

h

b

KK

K= (B)

#*

hb

KK

K= (C)

#*

h #b

KK

K= (D) bh

KK

K*=

21. 8hich of the follo*in! statement are true for a solution saturate) *ith 0!Cl an) 0!/r' 3f their solubilities in

mol %lit in se$arate) solution arexan)yres$ectiely'

(A) @0! A+ = +x y (B) @Cl A @/r A =

(C) @0! A @/r A @Cl A+ = (D) @0! A @/r A @Cl A+ = +

22. Statement 1 :0))ition of non1olatile solute causes a )e$ression in a$our $ressure'

Statement 2 :


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Vidyamandir Classes

23. 8hich of the follo*in! has !reatest flocculation alue for a ne!atiely char!e) solution 9

(A) !#+ (B) Ca#+ (C) Fe-+ (D) Na+

24. Gien : ( ) ( ) ( ) ( )- %# ! - ! !!N= -Cl NCl -=Cl H =+ + 2 2 34 2 2

( ) ( ) ( )## ! # ! - !N -= #N= H =+ +34 2 2

( ) ( ) ( ) -# ! # ! != Cl #=Cl H =+ +2 2 34 2 2

The heat of formation of ( )- !NCl in the terms of % #= , = an) -= is 9

(A) #f % -= -

= = =# #

= + (B) #f % -

= -= = =

# #

= +

(C) #f % -

= -= = =

# #

= (D) None of these

25. The time taken for a certain olume of !as to )iffuse throu!h a small hole *as # min' In)er similar con)itions

an equal olume of oxy!en took 2';2 min to $ass' The molecular mass of the !as is :

(A) -#'( (B) %%'-- (C) 4'( (D) E'(

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ $% +est Series - (Paper-$C=-O C= C= C=O


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Vidyamandir Classes

26. 8hen is treate) *ith =/r, the maor $ro)uct obtaine) is :

(A) (B)

(C) (D)

27. 3n *hich of the follo*in! com$oun)s )elocalisation is not $ossible :

(A) %, 41$enta)iene (B) %, -1buta)iene (C) %, -, 21hexatriene (D) ben5ene

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ $$ +est Series - (Paper-$

C=-O #C= C =

J/r

C=O C=-O #C = C=

J/r

C=O

C=-O C = C =

J J/r /r

C=O C=-O

# #C/r C/r C=O


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Vidyamandir Classes

28.

*ill be :

(A) (B)

(C) (D)

29. For a first or)er reaction, n0 / *hose concentration s time cure is assho*n in the fi!ure' 3f half1life for this reaction is #4 minutes' Fin) out the

alue of n'

(A) % (B) #

(C) - (D) 4

30. =i!hest heat of combustion is obsere) in :

(A) n1hexane (B) #1methyl$entane

(C) -1methyl$entane (D) #, #1-1trimethylbutane

SPAC/ F20 02H 20=

PA0+ - 8PH?SCS9 *% 1A0=S

V1C+//-)%$3AC/ $) +est Series - (Paper-$


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Vidyamandir Classes

S+0AH+ 2@/C+V/ +?P/

+his Part "ontains 3% 1ltiple Choi"e estions. /a"h estion has & "hoi"es A, @, C

B #, ot o4 whi"h 2nly 2ne is Corre"t '

31. 0ssumin! the !raity to be in ne!atie 51)irection, a force F v A= is exerte) on a $article in a))ition to

the force of !raity *here v is the elocity of the $article an) A is a constant ector in $ositie x1

)irection' 8ith *hat elocity of minimum ma!nitu)e, a $article of mass mbe $roecte) so that it continues to

moe un)eflecte) *ith constant elocity :

(A)A jmg

(B)A jmg

(C) mg j

A(D)

mg jA

32. 0 sonometer *ire resonates *ith a !ien tunin! fork formin! stan)in! *aes *ith fie antino)es bet*een the

t*o bri)!es *hen a mass of kgis sus$en)e) from the *ire' 8hen this mass is re$lace) by a massM, the *ire

resonates *ith the same tunin! fork formin! three antino)es for the same $ositions of the bri)!es' The alue of

is :

(A) #2 kg (B) 2 kg (C) %#'2 kg (D) %5#2kg

33. 0n o$en $i$e is su))enly close) at one en) *ith the result that the frequency of thir) harmonic of the close)

$i$e is foun) to be hi!her by %(( Hz then the fun)amental frequency of the o$en $i$e' The

fun)amental frequency of the o$en $i$e is :

(A) #(( =5 (B) -(( =5 (C) #4( =5 (D) 4E( =5

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ $3 +est Series - (Paper-$


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Vidyamandir Classes

34. T*o s$herical black bo)ies of ra)ii r%an) r#an) *ith surface tem$eratures T%an) T#res$ectiely ra)iate the

same $o*er'%

#

r

rmust be equal to :

(A)

#

%

#

T

T

(B)

#

#

%

T

T

(C)

4

%

#

T

T

(D)

4

#

%

T

T

35. 0 resistance R an) a ca$acitor C are oine) to a source of AC of constant emf an) ariable frequency'

The $otential )ifference across Cis V' 3f the frequency ofACis !ra)ually increase), V*ill :

(A) 3ncrease

(B) Mecrease

(C) Remain constant

(D) First increase an) then )ecrease

36. Fin) A BV V in stea)y state

(A) E V

(B) %; V

(C) #4 V

(D) Mata is insufficient

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ $& +est Series - (Paper-$

+est Series - (Paper-$


29/34


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Vidyamandir Classes

81. 3f the normal to the cure ( )y ' x= at x ( be !ien by the equation - - (x y + = , then the alue of

( ) ( ) ( ){ }%

# # # #

(2 4 4 ?

x0im x ' x ' x ' x

+ is :

(A)%

-

(B)%

-

(C) %

2

(D)%

4

82. 3f the chor) of contact of tan!ents from a $oint ( )% %P x * y to the circle# # #x y a+ = touches the circle

( )# # #x a y a + = , then the locus of ( )% %x * y is :

(A) a circle (B) a $arabola (C) an elli$se (D) a hy$erbola

83. 3f ( )%x. xe sin x !-s x ,x= + an) # x. e sin x ,x= , then 3%+ 3#equals to :

(A) xxe !-s x C+ (B) xxe sin x C+ (C) xe !-s x C + (D) xe sin x C +

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ 3% +est Series - (Paper-$


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Vidyamandir Classes

84. The ran!e of the function ( ) [ ]

[ ]%x x

y ' xx x

= =

+is :

(A)% %

# #*

(B)

%(

#*

(C)% %

# #

* (D) @(, %"

85. The remain)er *hen # %22 # %;+ ++ +n n n is )ii)e) by %-, is :

(A) # (B) - (C) ? (D) (

86. The function ( ) ( )# #% ; 2' x x x x !-s x= + + is not )ifferentiable at :(A) % (B) ( (C) % (D) 2

87. The $ro)uct of common )ifference of all $ossible 06Bs *hich are ma)e from alues of xB satisfyin!

# #% % %

# #

!-s x !-s x + =

, is :

(A)

#

# #

4

(B)

4

+(C)

#

# #

#

(D) None of these

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ 3$ +est Series - (Paper-$


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Vidyamandir Classes

88. Consi)er the function ( )' x x !-s x sin x= , then i)entify the statement *hich is correct 9

(A) 'is neither o)) nor een (B) 'is monotonic )ecreasin! atx (

(C) 'has a maxima at x = (D) 'has a minima at x =

89. The area of the smaller $ortion enclose) by the cures # # x y+ = an) # Ey x= is :

(A)%# %

- 4 # -sin

+

(B)%# %#

- 4 # -sin

+

(C)%# %#

- 4 # -sin

+ +

(D)%# %

- 4 # -sin

+ +

90. 3n a small illa!e, there are E? families, of *hich 2# families hae atmost # chil)ren' 3n a rural )eelo$ment

$ro!ramme #( families are to be chosen for assistance, of *hich atleast %E families must hae atmost #

chil)ren' 3n ho* many *ays can the choice be ma)e 9

(A) 2# -2 2# -2 -2

# %E % % #(C $ C C $ C C + + (B) 2# -2

%E #C $ C

(C) 2# -2# %EC $ C (D)2# -2 2# -2 2#

%E # % % #(C $ C C $ C C + +

SPAC/ F20 02H 20=

V1C+//-)%$3AC/ 3) +est Series - (Paper-$


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Vidyamandir Classes

SPAC/ F20 02H 20=



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Vidyamandir Classes

SPAC/ F20 02H 20=

D D D D D D/nd o4 +est Series - (//-)%$3Paper - $D D D D D D

tfgbrgf bfbgfbgfer_1_acegbgf hg fbtf

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