TALLENTEX
-
Upload
sindhwanimohit -
Category
Documents
-
view
214 -
download
0
Transcript of TALLENTEX
-
7/25/2019 TALLENTEX
1/23
CLASS - IX
INSTRUCTIONS
1. The booklet is your Question Paper. Do not break the seal of this booklet before being instructed to do so
by the invigilator.
2. Blank spaces and blank pages are provided in the question paper for your rough work. No additional sheets
will be provided for rough work.
3. Blank papers, clipboards, log tables, slide rules, calculators, cameras, cellular phones, pagers and electronic
gadgets are NOT allowed inside the examination hall.
4. The answer sheet, a machine-readable Optical Response Sheet (ORS), is provided separately.
5. On breaking the seal of the booklet check that it contains 22 pages and all the 100questions.
6. A candidate has to write his / her answers in the ORS sheet by darkening the appropriate bubble with the
help of Black ball point pen as the correct answer of the question attempted.
7. Question Paper Format :
The question paper consists of 2 parts.Part-I : IQ(Mental Ability) & Part-II :Physics, Chemistry, Biology &
Mathematics
8. Marking Scheme :
Part-I : For each question of Part-I, you will be awarded 4 marksif you darken the bubble corresponding
to the correct answer and zero mark if no bubbles are darkened. No negativemarks will be awarded for
incorrect answers in this part.
Part-II: For each question of Part-II, you will be awarded 4 marksif you darken the bubble corresponding to only
the correct answer and zero mark if no bubbles are darkened. In all other casesminus one (1) markwill be awarded.
Time : 2 Hrs. Maximum Marks : 400
Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.
PAPER CODE FORM NUMBER
Kota | Chandigarh | Ahmedabad | Jaipur
0 2 T O 9 1 4 0 0 1
X
-
7/25/2019 TALLENTEX
2/23
1/22
SPACE FOR ROUGH WORK
lass - IX
X
1. A shepherd had 17 sheep. All but nine died. How many was he left with ?
(1) 0 (2) 8 (3) 9 (4) 17
2. Anusha remembers that her brother Kabir's birthday falls after 20 thMay but before 28thMay, while Pia
remembers that Kabir's birthday falls before 22ndMay but after 12thMay. On what date Kabir's birthday
falls ?
(1) 20th May (2) 21st May (3) 22nd May (4) 12th May
3. In a row of boys facing north, A is sixteenth from the left end and C is sixteenth from the right end. B,
who is fourth to the right of A, is fifth to the left of C in the row. How many boys are there in the row?
(1) 39 (2) 40 (3) 41 (4) 42
4. If ZIP = 30 and ZAP = 38, then how will you code VIP?
(1) 174 (2) 43 (3) 34 (4) 113
5. If '>' denotes '+', '', and '='
denotes '
-
7/25/2019 TALLENTEX
3/23
lass - IX
2/22
SPACE FOR ROUGH WORK
X
9. Neelam, who is Rohit's daughter, says to Indu, "Your mother Reeta is the younger sister of my father,
who is the third child of Sohanji." How is Sohanji related to Indu?
(1) Maternal uncle (2) Father
(3) Grandfather (4) Father-in-law
10. How many pairs of letters are there in the word 'LANGUISH' which have as many letters between
them in the word as in the alphabet?
(1) Nil (2) One (3) Three (4) Four
11. The given question consists of four figures 1, 2, 3 and 4 called the Problem Set. There is a definite
relationship between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by
selecting a suitable figure from the options that would replace the question mark (?) in fig. (4).
Problem Set
?
1 2 3 4
(1) (2) (3) (4)
12. Figures (i), (ii), (iii) and (iv) constitute the Problem Set. There is a definite relationship between figures
(i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure
from the options that would replace the question mark (?) in fig. (iv).
Problem Set
?
(i) (ii) (iii) (iv)
(1) (2) (3) (4)
-
7/25/2019 TALLENTEX
4/23
3/22
SPACE FOR ROUGH WORK
lass - IX
X
13. Count the number of triangles in the given figure.
(1) 20 (2) 22 (3) 23 (4) None of these
14. Select from amongst the options as to how the pattern would appear when the transparent sheet is
folded along the dotted line.
(1) (2) (3) (4)
15. Select the figure from the options which completes the Fig.(X)
Fig.(X)
(1) (2) (3) (4)
-
7/25/2019 TALLENTEX
5/23
lass - IX
4/22
SPACE FOR ROUGH WORK
X
16. In the matrix there are eight designs and one space is
left blank as shown by a question mark. Which answer
figures will replace the question mark?
(1) (2)
?
(3) (4)
17. In the following question from amongst the options,
Fig.(X)
select the one which satisfies the same conditions of
placement of the dot as in Fig. (X).
(1) (2) (3) (4)
18. Match the given net with the correct picture.
(1) (2)
(3) (4)
19. Which of the following options shows the mirror
Fig.(X)
image of Fig.(X), if mirror is placed vertically left.
(1) (2) (3) (4)
-
7/25/2019 TALLENTEX
6/23
5/22
SPACE FOR ROUGH WORK
lass - IX
X
20. Select a figure from amongst the options which will continue the same series as established by the five
Problem Figures P, Q, R, S and T.
?C
+
S C
+
S C
+
S C
+
S C
+
S
P Q R S T
(1)C
+
S(2)
C
+ S
(3)
C
+
S(4)
C
+S
+
Direction (Q.21 & Q.22) :- A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size.
21. How many cubes with three surfaces painted?
(1) 24 (2) 16 (3) 8 (4) 0
22. How many cubes have no face coloured ?(1) 24 (2) 8 (3) 16 (4) None of these
Directions (Q.23 & Q.24) :- In the figure given below, the Square shows the no. of students in Std. VIII of
Mumbai. Parallelogram shows no. of girls in the school. The Triangle shows the no. of Kho-Kho playing
students and Circle shows the no. of boys playing cricket in the school. Now answer the following questions
with the help of this information.
15
97
34
17
456025 10
75
23. What is the total no. of students in Std. VIII?
(1) 33 (2) 15 (3) 55 (4) 108
24. What is the no. of students in Std. VIII playing Kho-Kho and Cricket?
(1) 4 (2) 21 (3) 25 (4) 29
-
7/25/2019 TALLENTEX
7/23
lass - IX
6/22
SPACE FOR ROUGH WORK
X
Directions(Q.25 & Q.26) : In each of the following questions, a number series is given. After series,
below it in the next line, a number is given following (A), (B), (C), (D) and (E). You have to complete
the starting with the number given following the sequence of given series. Then, answer the questions
given below it.
25. 535 366 245 164
817 (A) (B) (C) (D) (E)
Which number will come in place of (E)?
(1) 648 (2) 507 (3) 446 (4) None of these
26. 3, 5, 18, 72
7 (A) (B) (C) (D) (E)
Which number will come in place of (D)?
(1) 416 (2) 9 (3) 2100 (4) 96
Directions (Q.27 to Q.30) :- Study the following information carefully to answer these questions.
J, K, H, R, F, L, N and Q are sitting around a circular table facing the centre. H is third to the left
of L and is to the immediate right of K. R is third to the left of N but is not a neighbour of H or L. J is
second to the right of Q.
27 . Who is second to the left of N ?
(1) Q (2) K (3) J (4) For J
28. Which of the following groups of persons has the first person sitting between the next two ?
(1) LKN (2) QFL (3) KHR (4) JHF
29. Who is to the immediate left of R?
(1) Q (2) K (3) F (4) N
30. Which of the following is correct position of J with respect to K ?
(1) Third to the left (2) Third to the right (3) Second to the left (4) Second to the right
-
7/25/2019 TALLENTEX
8/23
7/22
SPACE FOR ROUGH WORK
lass - IX
X
PART - II
SECTION-A : PHYSICS
This section contains 15 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out
of which ONLY ONE is correct.
31. The picture shows the circular path of a toy plane being swung around on a string. What path would
the toy take if the string broke ?
(1) (2) (3) (4)
32. A block of mass 0.1 kg is held against a wall by applying a
///
///
///////
///
N F
f
mg
horizontal force of 5 N on the block (see fig.). If the
coefficient of friction between the block and the wall is
0.5, the magnitude of frictional force acting on the block is
_____ (Take g = 9.8 m/s2)
(1) 2.5 N (2) 0.98 N (3) 4.9 N (4) 0.49 N
-
7/25/2019 TALLENTEX
9/23
lass - IX
8/22
SPACE FOR ROUGH WORK
X
33. When electric current is passed through a cell having an electrolyte, the positive ions move towards
the cathode and the negative ions towards the anode. If the cathode is pulled out of the solution,
(1) the positive and negative ions will move towards the anode
(2) the positive ions will start moving towards the anode, the negative ions will stop moving
(3) the negative ions will continue to move towards the anode and the positive ions will stop moving(4) the positive and negative ions will start moving randomly
34. Lightning occurs because of
(1) Rain (2) Electric discharge (3) Wind (4) Shaking of earth
35. Two plane mirrors are inclined to one another at an angle of 60. A ray is incident on mirror M1 at an
angle i parallel to M2. The reflected ray from mirror M
2is parallel to mirror M
1as shown in figure. The
angle of incidence i is
60M
1
M2
ii
O
(1) 20 (2) 10 (3) 30 (4) 40
36. Which small objects revolve between the orbits of Mars and Jupiter ?
(1) Satellites (2) Comets (3) Asteroids (4) Meteorites
37. A ball is dropped from rest from a height 6.0 meters above the ground. The ball falls freely and reaches
the ground 1.1 seconds later. What is the average speed of the ball?
(1) 5.5 m/s (2) 6.1 m/s (3) 6.6 m/s (4) 11 m/s
38. geand g
pdenote the acceleration due to gravity on the surface of the earth and another planet whose
mass and radius are twice that of the earth. Then
(1) gp= ge (2) gp= ge/2(3) g
p= 2g
e(4) g
p= g
e/ 2
39. An object hangs from a spring balance. The balance indicates 30 N in air and 20 N when the object is
submerged in water. What does the balance indicate when the object is submerged in a liquid with a
density that is half that of water?
(1) 20 N (2) 25 N (3) 30 N (4) 35 N
40. If the K.E of a body is doubled, then the momentum of the body becomes
(1)1
2 times (2) 2 times (3) 2 2 times (4) none of these
-
7/25/2019 TALLENTEX
10/23
9/22
SPACE FOR ROUGH WORK
lass - IX
X
COMPREHENSION :- This section contains 2 comprehensions each describing theory, experiment, data
etc. Five questions related to two comprehensions with two questions on first comprehension and three
questions on second comprehension. Each question of a comprehension has only one correct answer among
the four choices (1), (2), (3) and (4).
Comprehension # 1 (Q.41 & Q.42) :- An object of mass 1.5 kg travelling in a straight line with a velocity of
5 m/s collides with a wooden block of mass 5 kg resting on the floor. This object sticks with wooden block
after collision and both move together in a straight line.
41. The total momentum after collision is
(1) 3.5 kg m/s (2) 1.5 kg m/s (3) 7.5 kg m/s (4) 2 kg m/s
42. The velocity of the combination of these object after collision is
(1) 8.5 m/s (2) 9.5 m/s (3) 1.15 m/s (4) 1.5 m/s
Comprehension # 2 (Q.43 to Q.45) :- Two tuning forks A,B vibrate with frequencies in the ratio 2:7 andtheir wavelength in the ratio 3:4 respectively.
43. Find the tuning fork producing greater velocity of sound.
(1) Tuning fork A (2) Tuning fork B
(3) Both A and B (4) cannot be determined
44. The tuning fork A produces relatively
(1) shrill sound than tuning fork B
(2) flat sound than tuning fork B
(3) louder sound than tuning fork B
(4) wave of more wavelength than that of tuning fork
45. The wave producing greater wavelength is
(1) Tuning fork A (2) Tuning fork B
(3) Both A and B (4) cannot be determined
-
7/25/2019 TALLENTEX
11/23
lass - IX
10/22
SPACE FOR ROUGH WORK
X
SECTION-B : CHEMISTRY
This section contains 15 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out
of which ONLY ONE is correct.
46. Which statement best describes the law of conservation of mass?
(1) The mass of the products is always greater than the mass of the materials that react in a chemical
change.
(2) The mass of the products is always less than the mass of the materials that react in a chemical
change.
(3) A certain mass of material must be present for a reaction to occur.
(4) Matter is neither lost nor gained during a chemical change.
47. How many outer-level electrons do lithium and potassium have?
(1) one (2) two (3) three (4) four
48. Which elements are least likely to react with other elements?
(1) Metals (2) Noblegases
(3) Nonmetals (4) Transition elements
49.
Which metal would most likely replace lead in a solution?
(1) Potassium (2) Copper (3) Silver (4) Gold
50. What are the small units that make up polymers?
(1) monomers (2) crystal (3) unit cell (4) chain
51. Which property allows metals to be shaped into a musical instrument?
(1) conductivity (2) ductility (3) luster (4) malleability
52. Which is a balanced chemical equation?
(1) Na + Cl2NaCl (2) H
2O
22H
2O + O
2
(3) O2+ 2PC1
32POCl
3(4) Ca + H
2O Ca(OH)
2+ H
2
-
7/25/2019 TALLENTEX
12/23
11/22
SPACE FOR ROUGH WORK
lass - IX
X
53. The image below shows a mixture of sand and iron fillings being separated.
Which physical property is used to separate the sand and iron?
(1) density (2) ductility (3) magnetism (4) malleability
54. Which of these is NOT a cation?
(1) NH4
+ (2) Cl (3) Mg2+ (4) K+
55. Which of these decreases as a given volume of gas increases?
(1) Number of gas particles (2) Temperature
(3) Pressure (4) Kinetic energy
COMPREHENSION :- This section contains 2 comprehensions each describing theory, experiment, data
etc. Five questions related to two comprehensions with two questions on first comprehensions and three
questions on second comprehensions. Each question of a comprehension has only one correct answer among
the four choices (1), (2), (3) and (4).
Comprehensions # 1 (Q. 56 & Q.57) :- The temperature at which water boils depends on the pressure the
water is under. At sea level, where the pressure is 100 kPa, water boils at 100C. The pressure in a pressure
cooker is greater than 100 kPa, and the boiling point of water is greater than 100 C.
On a mountain top, at an altitude of 7700 m, a climber found that his fuel stove couldn't raise the temperature
of boiling water above 75 C.
56. The best explanation for this is that on the mountain top.
(1) the stove did not have sufficient oxygen to burn the fuel completely.
(2) the air was so cold it absorbed the heat from the water
(3) the air pressure was less than it was at sea level
(4) the air pressure was greater than it was at sea level
-
7/25/2019 TALLENTEX
13/23
lass - IX
12/22
SPACE FOR ROUGH WORK
X
57. A sample of rain water was collected and its boiling point determined at Shimla. It is found that the
boiling point is
(1)100C (2) 98.5C
(3) 102C (4) 105C
Comprehensions # 2 (Q. 58 to Q. 60) :- Read the passage given below and answer the questions that
follow.
Acid rain has resulted in corrosion of the marble of the monument. It is especially due to, the Mathura oil
refinery. So the Supreme court has taken steps to save the Taj. It has ordered the indurstries either switch to
cleaner fuels life CNG (Compressed Natural Gas) and LPG (Liquefied Petroleum Gas) more-over, the
automobiles should switch over to unleaded petrol in Taj Zone.
58. The Taj Mahal is being effected due to
(1) Noise Pollution(2) Air Pollution
(3) Water Pollution
(4) None of these
59. What is Marble cancer ?
(1) Cancer disease in marbles
(2) Corrosion of marble by acid rain
(3) Cancer in any white animal
(4) None of these
60. Taj Mahal may be destroyed due to
(1) flood in Yamuna river
(2) decomposition of marble as a result of high temperature
(3) air pollutants released from oil refinery of Mathura
(4) all the above
-
7/25/2019 TALLENTEX
14/23
13/22
SPACE FOR ROUGH WORK
lass - IX
X
SECTION-C : BIOLOGY
This section contains 20 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out
of which ONLY ONE is correct.
61. Which best explains what a population is?
(1) A population is all of the animals in a habitat.
(2) A population is all of the carnivores in an ecosystem.
(3) A population is all of the animals of one specific species in an ecosystem.
(4) A population is all of the animals that an ecologist can count in a habitat.
62. In general, coral reefs benefit the environment most by
(1) making shorelines across the world beautiful.
(2) secreting their hard external skeletons.
(3) providing one of the most productive ecosystems.
(4) providing food for various types of tropical fish.63. The diagram shows an energy pyramid within an ecosystem. Only 10 percent of the available energy
is transferred from one level of the pyramid to the next. If the Sun provides 100,000 kilocalories
(kcals) of energy to the sunflower, how much energy is available for the wolf ?
Energy Pyramid
(1) 10 kcals (2) 100 kcals (3) 1,000 kcals (4) 10,000 kcals
64. In the diagram below, the phase of plant cell division is called
(1) telophase
(2) prophase
(3) interphase
(4) anaphase
-
7/25/2019 TALLENTEX
15/23
lass - IX
14/22
SPACE FOR ROUGH WORK
X
65. The pictures show simple smog-collecting disks hanging in four different locations. When collected
after hanging for one day, the disk from which location will have collected the most smog?
(1) A (2) B (3) C (4) D
66. Which of the following is an example of an antigen that might be recognized by the immune system of
an individual?
(1) a viral protein (2) a fat molecule (3) saline solution (4) oxygen molecule
67. The table below contains information about animal diets.
Which energy pyramid best represents the data in the table?
(1) (2)
(3) (4)
-
7/25/2019 TALLENTEX
16/23
15/22
SPACE FOR ROUGH WORK
lass - IX
X
68. The given figure represents the position of various endocrine glands in human body. Select the correctly
labelled parts from the codes given below.
Position of endocrineglands in the human body
(i) (ii) (iii) (iv) (v)
(1) Thyroid Pituitary Adrenal Pancreas Testis
(2) Pituitary Thyroid Adrenal Pancreas Testis
(3) Pituitary Thyroid Pancreas Adrenal Testis
(4) Thyroid Pituitary Testis Pancreas Adrenal
69. There is a rich variety of crops grown in different parts of the country during different seasons.
Accordingly, the vegetables belong to which of the following categories?
(1) Kharif crops (2) Rabi crops (3) Zayed crops (4) None of these
70. The diagram shows the changes in the thickness of the uterus lining of a woman during her menstrual
cycle. At which time is the woman most likely to be fertile?
Thicknessofthe uteruslining
(1) P (2) Q (3) R (4) S
-
7/25/2019 TALLENTEX
17/23
lass - IX
16/22
SPACE FOR ROUGH WORK
X
COMPREHENSION :- This section contains 4 comprehensions each describing theory, experiment, data
etc. Ten questions related to four comprehensions with two questions on first two comprehensions and three
questions on last two comprehensions. Each question of a comprehension has only one correct answer
among the four choices (1), (2), (3) and (4).
Comprehension # 1 (Q.71 & Q.72) : What happens to the cells formed by meristematic tissue? They take up
a specific role and lose the ability to divide. As a result, they form a permanent tissue. This process of taking
up a permanent shape, size, and a function is called differentiation. Cells of meristematic tissue differentiate
to form different types of permanent tissue.
(i) (ii)
(iii) (iv)
71. Find the mismatch pair
A- (i)- collenchyma , (ii)- parenchyma
B- (ii)- meristematic, (iii)- collenchyma
C- (ii) and (iii)- parenchyma
D- (i) and (iv)- collenchyma
E- (i)- collenchyma , (ii)- sclerenchyma
F- (ii)- meristematic, (iv)- sclerenchyma
(1) B, E and F (2) A, B, E and F (3) C and D (4) B, C, D, E and F
72. Name the process through which rapidly dividing cells take up a permanent shape and function?
(1) Mitosis (2) Dedifferentiation (3) Cell death (4) Differentiation
-
7/25/2019 TALLENTEX
18/23
17/22
SPACE FOR ROUGH WORK
lass - IX
X
Comprehension # 2 (Q.73 & Q.74) :- Observe and identify the figures given below and answer the questions
A
73. Identify the division of kingdom plantae to which these plants belong.
(1) Thallophyta (2) Bryophyta (3) Pteridophyta (4) Phanerogams
74. Characterstic feature of the division to which these plants belong.
(1) Well developed reproductive structure such as flower.
(2) Unicellular or multicellular thallus like plant body.
(3) Differentiated plant body, without mechanical and conducting tissues.
(4) Undifferentiated plant body, with mechanical and conducting tissues.
Comprehension # 3 (Q.75 to Q.77) :-
These animals are cold-blooded.
Have scales and breathe through lungs.
They lay eggs with tough coverings and do not need to lay their eggs in water.
75. Identify the class and phylum having such characterstic features
(1) phylum- chordata, class- amphibia.
(2) phylum- vertebrata, class- aves.
(3) phylum- chordata, class- reptilia.
(4) phylum- reptilia, class- crocodilia.
-
7/25/2019 TALLENTEX
19/23
lass - IX
18/22
SPACE FOR ROUGH WORK
X
76. Vertebrates of which class needs to lay eggs in water and why?
(1) Reptilia- because it does not have leathery covering around them.
(2) Amphibian - because it does not have leathery covering around them.
(3) Aves- because oxygen can easily diffuse through its shell.(4) Arthropoda- to prevent water loss.
77. Which statement is incorrect regarding this class?
(1) 3-chambered heart, only crocodiles have completely partitioned ventricles.
(2) Scales are hard and dry.
(3) Dorsal hollow nerve chord present.
(4) Respire by gills in water and lungs on land.
Comprehension # 4 (Q.78 to Q.80) :- Nitrogen is an essential nutrient for all life-forms. However, other
than a few forms of bacteria, life-forms are not able to convert the comparatively inert nitrogen molecule
into forms like nitrates and nitrites which can be taken up and used to make the required molecules. These
'nitrogen-fixing' bacteria may be free-living or be associated with some species of dicot plants. Other than
these bacteria, the only other manner in which the nitrogen molecule is converted to nitrates and nitrites is by
a physical process. During lightning, the high temperatures and pressures created in the air convert nitrogen
into oxides of nitrogen. These oxides dissolve in water to give nitric and nitrous acids and fall on land along
with rain.
78. Why do plants need nitrogen and in which form?
(1) synthesis of proteins ; ammonium ions, nitrates and nitrites.
(2) synthesis of carbohydrates, ammonium ions.
(3) synthesis of D.N.A, elementary nitrogen.
(4) synthesis of lipids, ammonium ions or urea.79. Plants need nitrogen to synthesize important biomolecules than why they cannot use atmospheric
nitrogen directly?
(1) Because it is highly reactive gas.
(2) Because it is toxic in nature when taken in elementary form.
(3) Because it is comparatively molecule.
(4) Because nitrogen do not diffuse into plant tissues.
80. Type of relationship between nitrogen fixing bacteria (Rhizobium) and plants (leguminous) ?
(1) Parasitism (2) Mutualism (3) Commensalism (4) Predation
-
7/25/2019 TALLENTEX
20/23
19/22
SPACE FOR ROUGH WORK
lass - IX
X
SECTION-D : MATHEMATICSThis section contains 20 multiple choice questions. Each question has four choices (1), (2), (3) and (4) out
of which ONLY ONE is correct.
81. What is the volume of the figure below?
x + 4
x + 1
x + 6
(1) x3 + 10x2 + 34x + 24 (2) x3 + 11x2 + 34x + 24
(3) x3 + 10x2 + 24x + 24 (4) x3 + 11x2 + 24x + 24
82. What are the x-intercepts of the graph of y = 12x 2 5x 2 ?
(1) 1 and 1
6(2) 1 and
1
6(3)
2 1and
3 4 (4)
2 1and
3 4
83. Which is the first incorrect step in simplifying (x2)3 ( x5)1?
Step 1: (x2)3 ( x5)1= x6x5 Step 2: = x6 51
x Step 3: =
6
5
x
xStep 4: = x
(1) Step 1 (2) Step 2 (3) Step 3 (4) Step 4
84. In the figure below, AB > BC.
A
BC
If we assume that mA = mC, it follows that AB = BC. This contradicts the given statement that
AB > BC. What conclusion can be drawn from this contradiction?
(1) m
A = m
B (2) m
A
m
B (3) m
A = m
C (4) m
A
m
C
-
7/25/2019 TALLENTEX
21/23
lass - IX
20/22
SPACE FOR ROUGH WORK
X
85. If ABCD is a parallelogram, what is the length of segment BD?
B
A D
C
E
5
6
7
(1) 10 (2) 11 (3) 12 (4) 14
86. The rectangle shown below has length 20 meters and width 10 meters.
4 m
4 m
4 m
4 m 4 m
4 m
4 m
4 m
If four triangles are removed from the rectangle as shown, what will be the area of the remaining
figure?
(1) 136 m2 (2) 144 m2 (3) 168m2 (4) 184m2
87. The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students
is 10 years and that of another group of 5 of them is 14 years. The average age of the remaining
students is _____
(1) 8 years (2) 10 years (3) 12 years (4) 14 years
88. A school has 378 girl students and 675 boy students. The school is divided into only boys or only girls
sections. All sections in the school have the same number of students. Given this information, what
are the number of sections in the school?
(1) 40 (2) 39 (3) 38 (4) 35
89. The median of first ten prime numbers is _____
(1) 9 (2) 12 (3) 15 (4) 20
90. If a + b + c = 9 and a2 + b2 + c2 = 35, then find the value of a3 + b3 + c3 3abc.
(1) 52 (2) 108 (3) 216 (4) 182
-
7/25/2019 TALLENTEX
22/23
21/22
SPACE FOR ROUGH WORK
lass - IX
X
COMPREHENSION :- This section contains 4 comprehensions each describing theory, experiment, data
etc. Ten questions related to four comprehensions with two questions on first two comprehensions and three
questions on last two comprehensions. Each question of a comprehension has only one correct answer
among the four choices (1), (2), (3) and (4).
Comprehension # 1 (Q.91 & Q.92) :-If one end of a line segment is the origin and other end point is (x, y).
The distance between end points of the line segment = 2 2x y .
91. Which of the following points is not 10 units from the origin ?
(1) (6, 8) (2) (8, 6) (3) (6, 8) (4) (6, 4)
92. Which of the following points is the nearest to the origin ?
(1) (0, 6) (2) (8, 0) (3) (3, 4) (4) (7, 0)
Comprehension # 2 (Q.93 & Q.94) :-If in two right triangle the hypotenuse and one side of one triangle are
equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.
93. If the altitude from two vertices of a triangle to the the opposite sides are equal, then the traingle is
(1) isosceles (2) scalene (3) right-angled (4) equilateral
94. In the figure it is given that LM = MN, QM = MR, ML PQ and MN PR. Then
P
Q M R
NL
(1) PQ < PR (2) PQ > PR (3) PQ = PR (4) None of these
Comprehension # 3 (Q.95 to Q.97) :-In the formula a3
+ b3
+ c3
3abc = (a + b + c) (a2
+ b2
+ c2
ab bc ca)and if a + b + c = 0 then a3+ b3+ c3= 3abc.
95. Factorise : p3(q r)3+ q3(r p)3+ r3(p q)3
(1) 2pq(p + q)(q + r)(r p)
(2) 3pqr(p q)(r q)(r p)
(3) 2pqr(p q)(q r)(p r)
(4) 3pqr(p q)(q r)(r p)
96. Find the value of x3 8y3 36xy 216, when x = 2y + 6.
(1) 1 (2) 2 (3) 0 (4) 3
97. If p = 2 a, then what is the value of a3+ 6ap + p3 8 ?
(1) 0 (2) 1 (3) 2 (4) 1
-
7/25/2019 TALLENTEX
23/23
lass - IX
22/22
SPACE FOR ROUGH WORK
X
Comprehension # 4 (Q.98 to Q.100) :-A farmer divides its field in 3 parts for cropping. He wishes to plant
3 types of crops in part I, II, III and rest of field is used for greenery. A field is chosen at random for cropping.
What is the probability that
I
III
II3m 4m
5m4m
7m
5m
50m
60m
98. IIIrd field is chosen.
(1) 7600
(2)700
(3)1
150(4)
1
250
99. Ist field is chosen.
(1)7
600(2)
700
(3)1
150(4)
1
250
100. IInd field is chosen.
(1)7
600(2)
700
(3)1
150(4)
1
250