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Instructions:

1. The duration of the test will be 60 minutes. Use the time accordingly.

2. The test paper consists of 50 questions divided into three sections, Section A, Section B & Section C. • Section A contains 20 questions of Science. • Section B contains 20 questions of Mathematics. • Section C contains 10 questions of Aptitude.

3. Each question will have 4 choices, with the only single choice being correct.

4. You will get 2 marks for every correct answer. 5. There will be no negative marking for any wrong answer or

unanswered question.

Section A (Science) 1. If a body of mass 3 kg is dropped from a tower of the height of 25 m.

Then its kinetic energy at moment the body hits the ground is equal to; A. 557 J B. 750 J C. 1050 J D. 860 J

2. Assertion: To float, a body must displace liquid whose weight is greater than the actual weight of the body. Reason: The body will experience no net downward force, in the case of floating. A. If both assertion and reason are true and the reason is the correct

explanation of the assertion. B. If both assertion and reason are true but reason is not the correct

explanation of the assertion. C. If assertion is true but reason is false. D. If assertion is false but reason is true.

3. Starting from rest at the top of an inclined plane a body reaches the

bottom of the inclined plane in 4 second. In what time does the body cover one-fourth the distance starting from rest at the top? A. 1 second B. 2 second C. 3 second D. 4 second

4. Velocity versus time graph of a ball of mass 50 g rolling on a concrete floor is shown in the figure. The frictional force of the floor on the ball is

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A. 1 N B. 3 N C. 0.5 N D. 2 N

5. Ramya weighs 300 N when she weighed herself at her home. She was wondering how much would she weigh if she had taken the measurement on Moon instead of Earth. Ramya will weigh, A. 100N B. 200N C. 50N D. 60N

6. The time period of a sound wave travelling in a medium is T. At a given instance (t = 0) a particular region in the medium has minimum density. The density of this region will be minimum again at

A. t = T B. t = T / 2 C. t = T / 3 D. t = T / 4

7. The Bohr model can explain: A. The spectrum of helium atom only

B. Spectrum of an atom or ion containing one electron only C. Solar spectrum D. None of the above

8. Which of the following can undergo a chemical reaction? A. MgSO4 + Fe B. ZnSO4 + Fe

C. MgSO4 + Pb D. CuSO4 + Fe 9. Which of the following is not a strategic metal? A. Titanium B. Chromium

C. Zirconium D. Platinum 10. Hydrogen and oxygen combine in the ratio of 1:8 by mass to form

water. What mass of oxygen gas would be required to react completely with 6 g of hydrogen gas?

A. 36g B. 46g C. 38g D. 48g

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11. Electric conductivity of metal ________ with the increase in temperature.

A. Increases B. Decreases C. Remains the same D. Depends upon pressure conditions

12. Rutherford’s alpha particle scattering experiment was responsible for discovery of:

A. Electron B. Proton C. Neutron D. Atomic nucleus

13. How many atoms are present in each of the following: (i) 252 g of C? (ii) 0.01 mole of aluminum?

A. 24.08×1023 and 6.022×1021 B. 22.32×1023 and 6.022×1023 C. 24.08×1023 and 6.022×1025 D. 20.92×1023 and 6.022×1025

14. Nitrogen, phosphorus and potassium are examples of A. Micro-nutrients B. Macro-nutrients

C. Manure D. Both I and II

15. The pair that belongs to the group of organisms showing 70S ribosomes in the cytoplasm is_____

A. Moss and Anabaena B. Yeast and Amoeba C. Bacteria and Nostoc D. Penicillium and Spirogyra

16. Making anti-viral drugs is more difficult than making anti-bacterial medicines because :

A. Viruses are non-living outside the host. B. Viruses cannot be killed inside the host. C. Viruses have very few biochemical mechanisms of their own D. Viruses have a protein coat

17. Pick out the incorrect statement – A. All chordates have notochord at some stage of life. B. Birds have a streamlined body to reduce air resistance during

flight. C. Whale represents a huge class of Pisces. D. A true coelom is derived from the mesoderm, whereas

pseudocoelom is not lined by mesoderm.

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18. Which one of the following is a deficiency diseases? A. Pneumonia B. Malaria

C. Goitre D. Tetanus

19. Presence of which tissue made it possible for survival of plants in terrestrial environment?

A. Meristematic tissue B. Parenchymatous tissue C. Epidermal tissue D. Vascular tissue

20. Pick out the incorrect statement – A. All chordates have notochord at some stage of life. B. Birds have a streamlined body to reduce air resistance during

flight. C. Whale represents a huge class of Pisces. D. A true coelom is derived from the mesoderm, whereas

pseudocoelom is not lined by mesoderm.

Section B (Mathematics) 21. Metal spheres, each of radius 2 cm, are packed into a rectangular box

of internal dimensions 16 cm × 8 cm × 8 cm. When 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer, [use π = 3.14]

A. 493 cm3 B. 488 cm3 C. 427 cm3 D. 431 cm3

22. Cards bearing numbers 3 to 20 are placed in a bag and mixed

thoroughly. A card is taken out from the bag at random. The probability that the number on the card taken out is an even number, is

A.

B.

C.

D.

23. In the figure given below, ABC is a triangle. BC is parallel to AE. If BC

= AC, then what is the value of ∠CAE?

A. 20° B. 30°

C. 40° D. 50°

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24. In Fig, if AD ⊥ AB and BD ⊥ BC. Compute the area(in cm2) of quadrilateral ABCD.

A. 102 B. 108

C. 114 D. 124

25. A sphere and a cube are of same height. The ratio of their volumes will be

A. 3 : 4 B. 21 : 11 C. 4 : 3 D. 11 : 21

26. In the figure given below, O is the centre of the circle and ∠BDC =

42°. The measure of angle ACB is

A. 42° B. 48°

C. 52° D. 58°

27. The diameter of the moon is approximately one fourth the diameter of the earth.

Find the ratio of their surface areas. A. 1: 12 B. 1:4

C. 1:8 D. 1:16

28. Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):

4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00 Find the probability that any of these bags chosen at random

contains more than 5 kg of flour.

A. B.

C. D.

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29. In the figure, If ∠ABC = 55° and ∠ACB = 45° then measure of ∠BOC is

A. 100° B. 40°

C. 160° D. 80° 30. In Figure, if ∠AOB = 80° and ∠ABC = 30°, then find ∠BAC.

A. 100° B. 80°

C. 55° D. 110°

31. On increasing each of the radius of the base and height of a cylinder by 20%, its volume will be increased by

A. 20% B. 40.8% C. 60.4% D. 72.8%

32. If the point (a, 2) lies on the graph of the linear equation 2x – 3y + 8 = 0, find the value of a5.

A. -1 B. 1 C. 32 D. 243

33. In Figure, ABCD is a cyclic quadrilateral in which ∠BAD=75°, ∠ABD=58° and ∠ADC=77°, AC and BD intersect at P. Then, find ∠DPC.

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A. 77° B. 90° C. 92° D. 75°

34. A cuboid having surface areas of 3 adjacent faces as a, b and c has the volume

A. B. abc

C. D. a + b + c

35. The altitude of an equilateral triangle with side ‘a’ is

A.

B.

C.

D.

36. A polynomial in one variable of degree 4 has atmost A. 3 terms B. 4 terms

C. 5 terms D. 6 terms

37. The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is

A. 26 B. 585 C. 13 D. 5

38. If the adjacent sides of a parallelogram are 9 cm and 4 cm, then the ratio of their corresponding altitudes is

A. 2 : 3 B. 3 : 2 C. 1 : 3 D. 4 : 9

39. A, B, C are three sets of values: A: 2, 3, 7, 1, 3, 2, 3 B: 7, 5, 9, 12, 5, 3, 8 C: 4, 4, 11, 7, 2, 3, 4 Which one of the following statements is correct? A. Mean of A = Mode of C B. Mean of C = Median of B

C. Median of B = Mode of A D. Mean, median and mode of A are equal.

40. If both the radii of a frustum of a cone are doubled, then its volume A. remains same B. is doubled

C. is quadrupled D. is halved.

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Section C (Aptitude) 41. Observe the dice.

Two positions of a dice are shown. When 4 at the bottom, then what

number will be on the top? A. 1 B. 2

C. 5 D. 6

42. Which of the following is same as 23, 37, 29 ? A. 17, 21, 29 B. 31, 37, 49

C. 13, 15, 23 D. 41, 47, 53

43. Rohit walks 20 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 17 m. Then he again turns left and walks 15 m. How many metres is he away from his initial position and in what direction?

A. 47 m East B. 30 m East C. 15 m West D. 30 m West

44. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z. Which letter is in the middle of 13th letter from the left and 4th letter

from the right? A. R B. J

C. S D. I

45. Deepak and Amit are brothers. Deepak is the son of Suresh. Ramesh is Suresh’s father.

How Amit is related to Ramesh? A. Grandfather B. Grandson

C. Father D. Uncle

46. 3:11 :: 7: A. 22 B. 29

C. 18 D. 51

47. Which of the following will be true if the given expression ‘A > B ≥ C < D < E , is definitely true?

A. A ≥ C B. E > C C. D ≥ B D. A > D

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48. Arrange these words in alphabetical order and tick the one that comes last

1. Abandon 2. Actuate 3. Accumulate 4. Acquit 5. Achieve A. Actuate B. Accumulate

C. Acquit D. Abandon

49. In a certain code word ‘ATTITUDE’ is written as ‘DWWLWXGH’. How is ‘AUDIT’ written in this code?

A. WLGXD B. DXGLW C. XDGLW D. WDGLX

50. If P means ‘division’, T means ‘addition’, M means ‘subtraction’ and D means ‘multiplication’, then what will be the value of the expression 52 M 12 D 28 P 7 T 15 = ?

A. -19 B. 19 C. 30 D. 56

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