NTSE(STAGE-I)
WORK SHOP
TEST PAPER # 4
Time : 1½ Hr. Max. Marks : 100
IIT-JEE | AIPMT | AIEEE | OLYMPIADS | KVPY | NTSE
GENERAL INSTRUCTIONS
1. The booklet given in the examination hall is the Question Paper.
2. A student has to write his/her answers in the OMR sheet by darkening the appropriate bubble with the help of HB Pencil as the correct answer(s) of the question attempted.
3. The question paper contains 100 questions, 30 question from Mathematics (1-30), 20 question from
Chemistry (31-50), 20 question from Biology (51-70) and 30 question from Mental Ability (71-100) each of 1 (one) mark.
4. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other electronic gadgets in any form is not allowed.
5. Write your Name & Roll No. in the space provided in the bottom of this booklet.
Space for rough work
NTSE STAGE-I _WORK SHOP _TEST PAPER-4
1. If a sphere and a rectangular cylinder having equal radius, the height of the cylinder is double of its radius, then the ratio of volumes of sphere and cylinder is –
(A) 1 : 2 (B) 2 : 1 (C) 2 : 3 (D) 3 : 2
2. Out of 50 observations the mean of 25 observation is 30 and mean of rest 25 observation is 32, Then mean of 50 observation is –
(A) 34 (B) 33 (C) 32 (D) 31
3. The largest sphere is cut off from a cube of side 5 cm. The volume of the sphere will be
-(A) 27 cm3 (B)
6 125
cm3 (C) 108 cm3 (D) 30 cm3 4. The area of a rhombus is 28 cm2 and one of its diagonals is 4cm. Its perimeter is
-(A) 4 53 cm (B) 36 cm (C) 2 53 cm (D) 53 cm
5. ABCD is a trapezium in which AB = 52 cm BC = 12 cm, CD = 39 cm and DA = 5cm. The area of this trapezium is -D A B C 5 cm 39 cm 12 cm 52 cm (A) 182 cm2 (B) 195 cm2 (C) 210 cm2 (D) 260 cm2
6. Surface area of a cuboid is 22 cm2 and sum of the length of all its edges is 24 cm. The length of each
diagonal of the cuboid (in cm.) is
-(A) 11 (B) 12 (C) 13 (D) 14
7. The number of such squares having area less then 8 times their sides (numberically), will be : (A) 1 (B) 5 (C) more than 6 (D) 0
8. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Then the ratio of their volumes is :
Space for rough work
9. If three equal circles of radius 3 cm each touch each other, then the area of the shaded portion is :
Shaded portion (A) 2 3 (2 – ) cm2 (B) 2 9 (2 3 – ) cm2 (C) 2 9 (2 3 + ) cm2 (D) 2 3 (2 + ) cm2
10. From a circular disc of radius 2cm., a sector of angle 45º is removed. The area of remaining portion of the
disc is,
(A) 11cm2 (B) 13 cm2 (C) 14 cm2 (D) 15 cm2 11. If the two sides of a rectangle be each increased by x% then the area changes by
(A) (x + 100 x2 )% (B) (2x + x2)% (C) (2x + 100 x2 )% (D) None of these
12. A right triangle of sides 5 cm, 12 and 13 cm is revolved about the side 12 cm. Volume of the solid so formed is ( = 3.14)
(A) 314 cm2 (B) 157 cm3 (C) 628 cm3 (D) 471 cm3
13. A lawn in the form of a square of side 30m. A cow is tied with a rope of 10 m to a pole standing at one of its corner. The maximum area of the lawn grazed by this cow is :
(A) 300 m2 (B) 150 m2 (C) 78.5 m2 (D) 450 m2
14. A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. The outer curved surface area of the bowl is approximately :
(A) 125 cm2 (B) 173.25 cm2 (C) 125.25 cm2 (D) 175 cm2 15. A cuboid has sides 5cm, 2cm, 5cm. The required number of cuboids to make it a cube
is-(A) 15 (B) 20 (C) 25 (D) 30
16. If the length of a rectangle is increased by 10% and area is unchanged then the corresponding breadth must be decreased by– (A) % 11 1 9 (B) 10% (C) 11% (D) % 9 1 11
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17. How many cubes of edge 5cm. can be cutoff from a cube of edge 20cm.
(A) 4 (B) 16 (C) 64 (D) 100
18. A cricketer has a certain average run for 10 innings. In the 11 th inning, he scores 100 runs, and now his average run is .increased by 9 runs. Then average of 11 inning is :
(A) 10 runs (B) 20 runs (C) 11 runs (D) 21 runs
19. A thirsty crow saw a pitcher of capacity 73 c.c. At the bottom of pitcher 28 c.c water was lying there. Some pabbles of size
4 3
c.c.each were lying near by. It put them into the pitcher. The water level came up and crow quenched its thirst. The number of pabbles· that the crow put into pitcher are :
(A) 50 (B) 60 (C) 70 (D) 100
20. Surabhi scored an 88 on her last test. Her scores before the last test were 95, 89, 90 and 93. What score must Surabhi make on the next test in order to receive a mean score of 90 ?
(A) 85 (B) 88 (C) 90 (D) 91
21. A rectangle of breadth 7 cm is cut in to 4 rectangles by 3 lines parallel to the base, which is of length 40 cm. If the area to these rectangles are in the ratio 2 : 3 : 5 : 4, the area of the largest piece of rectangle (in sq.cm) is :
(A) 100 (B) 140 (C) 120 (D) 80
22. In the figure, ABCD is a square, HGF is a semicircle and HE, FE are quarter-circles.
H G D C F B A E 2cm
What is the area of the shaded part ?
(A) 4 sq. cm (B) 2 sq. cm (C) 2 1
sq. cm (D) sq. cm
23. A room is 12 m long 9 m broad and 8 m height. The longest bamboo that can be kept in it is of length -(A) 30 m (B) 17m (C) 13 m (D) 12 m
24. Find the arithmetic mean from the following table :
x 4 5 6 7 8 21
f (Frequency) 3 2 3 5 2 1
(A) 5 (B) 6 (C) 7 (D) 8
25. The average of 9 readings is 9 that of first 5 being 10 and of last 5 being 8. What is the fifth reading ?
Space for rough work
26. The mean of 20 items of a data is 5 and if each item is multiplied by 3, then the mean will be :
(A) 5 (B) 10 (C) 15 (D) 20
27. The average age of two brothers is 13 It is increased by 11 years when their mother's age is also included. The age of the mother is :
(A) 45 years (B) 46 years (C) 47 years (D) 48 years
28. If the mean of the no. 6, 4, 3, 8, 10, 11, 10, 10, 5 and a is 7.2 and the median of number given in ascending order as 3, 4, a, 6, 8, b, 10, 10, 10 and 11 is 8.5, then the value of b is :
(A) 8 (B) 9 (C) 10 (D) 7
29. The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.
(A) 39 (B) 39.3 (C) 40.3 (D) 39.7
30. Find the missing value of P for the following distribution whose mean is 12.58
x 5 8 10 12 P 20 25
y 2 5 8 22 7 4 2
(A) 14 (B) 15 (C) 16 (D) 14.5
31. Richa was a very naughty girl. One day she made a paper bowl by folding a sheet of paper. Then she poured about 20 ml water in the bowl and heated the cup over a candle flame. To her surprise the paper bowl did not brun. It is because :
(A) in the presence of water, the ignition temperature of the paper can not be reached (B) the candle flame does not provide sufficient heat
(C) air is not present at the point of contact of the flame with the paper. (D) the flame of the candle is not luminous
32. Some fuels and their main constituents are given in Column I and Column II.
Column–I Column–II
(1) L.P.G. (a) Methane (2) Biogas (b) Butane (3) Coal (c) Carbon Choose the correct match :
(A) (1) (a), (2) (b), (3) (c) (B) (1) (b), (2) (a), (3) (c)
(C) (1) (c), (2) (a), (3) (b) (D) (1) (a), (2) (c), (3) (b) 33. Graphite differs from diamond because graphite is
-(A) slippery to touch and good conductor of electricity. (B) slippery to touch and very bad conductor of electricity. (C) greyish black in colour and bad conductor of electricity. (D) greyish black in colour and very bad conductor of heat.
Space for rough work 34. Which of the following is the purest form of amorphous carbon :
(A) wood charcoal (B) sugar charcoal (C) bone charcoal (D) all of these
35. The general formula for alkynes is :
(A) CnH2n + 1 (B) CnH2n + 1O (C) CnH2n
– 2 (D) CnH2n 36. To detect leakage of LPG we use :
(A) sulphonic acid (B) ethyl mercaptan (C) halo acid (D) carbon mono oxide
37. A gas x burns in air and combines with gas y and forms water. Gas x reacts with another gas z and produces a new gas which is used in manufacturing of fertilizers. Gas z is present in excess in air. The correct pair of x and z is :
(A) hydrogen and oxygen (B) fluorine and nitrogen (C) nitrogen and hydrogen (D) hydrogen and nitrogen
38. The fuel producing least pollution is –
(A) diesel (B) coal (C) kerosene (D) hydrogen
39. Which of the following is correct increasing order for different forms of coal according to the percentage of carbon present in them?
(A) Peat, Bituminous, Lignite, Anthracite (B) Bituminous, Lignite, Peat, Anthracite (C) Peat, Anthracite, Bituminous, Lignite (D) Peat, Lignite,Bituminous, Anthracite
40. Match the following
-(a) CH4 (i) Neither combustible nor supports combustion (b) CO2 (ii) Combustible
(c) N2 (iii) Supports combustion (d) O2 (iv) Extinguishes fire
Which of the following indicates the correct matching ?
(A) a,(i) ; b, (ii) ; c (iii) ; d, (iv) (B) a,(ii) ; b, (iv) ; c (i) ; d, (iii) (C) a,(ii) ; b, (iii) ; c (i) ; d, (iv) (D) a,(iii) ; b, (iv) ; c (ii) ; d, (i)
41. Which of the following is/are an examples of existence of carbon in free state ?
(A) Diamond (B) Graphite (C) Coal (D) All of these
42. Graphite is a good conductor of heat and electricity. It is due to the : (A) presence of free electrons
(B) presence of free ions
(C) presence of weak intramolecular forces between layers (D) all of these
43. The reaction of acetic acid with NaHCO3 results in the evolution of –
(A) carbon monoxide gas (B) hydrogen gas (C) carbon dioxide gas (D) methane gas
Space for rough work
44. The acid which is used for preparation of carbon dioxide gas in fire extinguisher is -(A) acetic acid (B) nitric acid (C) hydrochloric acid (D) citric acid
45. Substance which stabilize foam in foam type fire extinguisher is
-(A) soap (B) aluminium sulphate (C) saponin (D) NaHCO3
46. Calorific value of a fuel is the
-(A) amount of light produced during burning. (B) amount of heat produced during burning. (C) duration of burning. (D) amount of oxygen required
47. Melting point of graphite is very high due to the presence of –
(A) strong vander waals’ forces
(B) strong covalent bonds and hexagonal arrangement of atoms to give a giant structure (C) both (A) and (B)
(D) free electrons on each carbon atom
48. The zone of the flame that is used by a goldsmith is
-(A) outer zone. (B) middle zone. (C) innermost zone. (D) dark zone
49. CCl4 is used in fire extinguishing purpose because it is
-(A) lighter than air. (B) heavier than air. (C) lighter than water. (D) heavier than water
50. Which of the following substace forms a flame on burning
-(A) iron (B) camphor (C) aluminium (D) copper
51. Green house effect is produced by increase in concentration of which gas in the atmosphere : (A) CO2 (B) Oxygen (C) Nitrogen (D) Ammonia
52. The basic unit of inheritance in living organisms is :
(A) Cell (B) Gene (C) Cytoplasm (D) None of the above
53. The major pollutants which deplete ozone are
(A) Chlorofluorocarbons (B) Nitrogen oxides (C) Hydrocarbons (D) All above
54. Ozone layer protects us from :
(A) Excess N2 (B) U.V radiations (C) IR waves (D) Radio waves
55. Which is not Insect
-(A) Mosquito (B) Spider (C) House fly (D) Bed bug
56. During inhalation, ribs
(A) move backward (B) move forward & upward (C) move downward (D) move upward & backward
57. The wings of a Bat and a Bird perform the same function.They are said to be (A) Analogous (B) Homologous (C) Equivalent (D) None
Space for rough work
58. Unripe mangoes ripen faster if kept together with ripe mangoes because of :
(A) Ethylene (B) Auxin (C) Gibberellin (D) Cytokinin
59. Which of the following hormone deficiency development of Tadpole Larva is stopped ? (A) Insulin (B) Estrogen (C) Adrenaline (D) Thyroxine
60. Which of these facts is true for human gametes :
(A) Sperms are motile while ova are immotile (B) Ova are motile while sperms are immotile (C) Both sperms and ova are motile (D) Both sperms and ova are immotile
61. Fixation of atmospheric nitrogen is done by
(A) Nitrobacter (B) Azotobacter (C) Both of the above (D) None
62. A well known bird sanctuary of our country is
-(A) Palamu (B) Kaziranga (C) Bandipur (D) Bharatpur
63. The phenomenon by which aquatic weeds utilise most of the O2 dissolved in water but their thick growth also prevents sun light to penetrate the water bodies is the :
-(A) Eutrophication (B) Water pollution (C) Water conservation (D) All of the above
64. The gas released in the given experiment is due to :
(A) Respiration (B) Photosynthesis (C) Excretion (D) Transpiration
65. Respiration is :
(A) Anabolic and exergonic (B) Anabolic and endergonic (C) Catabolic and exergonic (D) Catabolic and endergonic
66. Maximum affinity with blood is shown by
(A) CO2 (B) CO (C) O2 (D) N2
67. Why is archaeopteryx called a connecting link ? (A) It has combined characters of reptiles & mammals (B) It has combined characters of reptiles & birds
(C) It has combined characters of chordates & non chordates (D) None of these
68. The amount of energy transferred from one trophic level to the next is :
Space for rough work
69. In the figure given below, where do germination and fertilization take place ?
I
II III
IV
(A) I and II only (B) I and III only (C) I and IV only (D) I, II and III only
70. Taj Mahal is corroded because of________ emitted by Mathura refinery :
(A) SO2 (B) CO (C) CO2 (D) N2
Directions : (71 - 75) Find the missing numbers : 71. 1, 1, 4, 8, 9, ? ,16, 64 (A) 21 (B) 27 (C) 25 (D) 28 72. DG, GJ, JM, ? (A) MW (B) MP (C) MQ (D) NO 73. 2 6 14 2 16 1 5 12 3 14 1 4 11 10 ? (A) 0 (B) 5 (C) 10 (D) 15
74. Find out to sign to be interchanged for making the question correct 10 + 10 10 – 10 ×10 = 10
(A) + and – (B) + and × (C) and × (D) + and
75. If it is possible to make a meaningful word with the first, the fourth, the seventh and the eleventh letters of the word INTERPRETATION, which of the following will be the third letter of that word ? If more than one such word can be made, give M as the answer and if no such word can be formed, give X as the answer.
Space for rough work
Directions : (76 to 78) The capital letters in each of the following words are coded and written in small letters on
the right side of each word. But these letters are not in order. Find out the codes for letters and answer the questions. Column I Column II PROBLEM g r c a t s d ROMAN c f t x s LAME f g a t BOLD g c d z
76. What is the code for letter A ?
(A) t (B) g (C) f (D) a
77. What is the code for letter B ?
(A) g (B) c (C) d (D) z
78. What would be the code (in correct order) for the word ‘MODE’ ?
(A) t f z c (B) c t f z (C) f t c z (D) t c z a
Code f d t c z a
Letter A B M O D E
Directions : (79 to 81) Read the following information and then find out the answers to the questions that follow.
(i) Mansi, Gautami, Roza, Farida and Akshada who are teachers in a school teach different subjects. (ii) Mansi and Gautami teach Hindi and English.
(iii) Roza and Farida teach English and Geography. (iv) Farida and Mansi teach Maths and Hindi. (v) Akshada and Gautami teach History and Marathi.
79. Who among them teach the maximum number of subjects ?
(A) Mansi and Akshada (B) Gautami and Farida (C) Roza and Gautami (D) Farida and Mansi
80. Who among them teaches three subjects ?
(A) Mansi (B) Gautami (C) Farida (D) Akshada
81. The common subject that Mansi, Gautami and Roza teach is
Space for rough work
82. Pointing to his son's portrait, a man said to a woman, "His mother is the only daughter of your mother". How was the woman related to the man ?
(A) Sister (B) Mother (C) Wife (D) Daughter
83. ‘Boat’ is related to ‘Oar’ in the same way as ‘Bicycle’ is related to
(A) Road (B) Wheel (C) Seat (D) Paddle
84. ‘Match’ is related to ‘Win’ in the same way as ‘Examination’ is related to
(A) Write (B) Appear (C) Success (D) Attempt
Directions : (85 to 86) Find the word / group / numbers which is different from the others.
85. (A) Mercury (B) Venus (C) Pluto (D) Moon
86. (A) April (B) May (C) July (D) September
Directions : (87 to 88 ) Study the figures given below. It shows that how many men and women in a certain area
are educated and employed. Each part of the figure is numbered. Your task is to answer the questions that are given at the end.
Men Women Educated Employed
87. Which number depicts educated unemployed men ?
(A) 2 (B) 1 (C) 4 (D) 3
88. What does number 5 depict ?
(A) Educated unemployed women (B) Uneducated unemployed women (C) Uneducated employed women (D) Educated employed women
89. On the basis of two figures of dice, you have to tell what number will be on the opposite face of number 5?
(A) 1 (B) 2 (C) 4 (D) 6
90. If 1st October is Sunday then 1st November will be
(A) Monday (B) Tuesday (C) Wednesday (D) Thursday
91. How many times are the hands of a clocks coincide in a day ?
Space for rough work
Directions : (92 to 93) A cube is painted red on two adjacent surfaces and black on the surfaces opposite to red
surfaces and green on the remaining faces. Now the cube is cut into sixty four smaller cubes of equal size.
92. How many smaller cubes have only one surface painted ?
(A) 8 (B) 16 (C) 24 (D) 32
93. How many smaller cubes will have no surface painted ?
(A) 0 (B) 4 (C) 8 (D) 16
94. A and B start walking from the same point. A goes North and covers 3 km; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 kms. How far apart are they from each other ?
(A) 10 km (B) 9 km (C) 8 km (D) 5 km
Directions : (95 to 97) Study the problem figures marked 1, 2,3, 4 and 5 carefully and try to establish the
relationship between them. From the answer figures marked A, B, C and D, pick out the figure which most appropriately completes the series.
95. Problem Figures 1 2 3 4 Answer Figure (A) (B) (C) (D) 96. Problem Figures X X X X 1 2 3 4 5 Answer Figure X XX X (A) (B) (C) (D) X X X X X
Space for rough work 97. Problem Figures 1 2 3 4
?
Answer Figure (A) (B) (C) (D)Directions : (28 to 30) In these type of questions, five figures numbered (A), (B), (C), and (D) are given.These are
treated both problem Figures as well as the Answer figures.Three out of these five figures are related to each other by way of having some common characteristics ans so form a group. Out of these four, you have to identify one figure which does not belong to group .
98. (A) (B) (C) (D) 99. (A) (B) (C) (D) 100. (A) (B) (C) (D)
