Aptitude Paper Class 10

APTITUDE TEST

CLASS : 10th TIME : 60 MIN.

MM : 60 GENERAL INSTRUCTIONS INSTRUCTIONS

1. The question paper contains total 60 Questions and each carry 1 marks (Mathematics)

:

Q.1 to Q.15

(General Science)

:

Q.16 to Q.45

(Aptitude)

:

Q.46 to Q.60

2. The OMR sheet given in the examination hall i s the Answer Sheet. 3. Before answering the paper, paper, fill up the required requir ed details in the blank spaces provided in the answer sheet. 4. Negati Negative ve marki marking ng –0.2 –0.25. 5. 5. For result and latest update visit our Website : edge.vibrantacademy.com

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1.

2.

The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% 30% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is : (A) 50 (B) 72 (C) 75 (D) 76

(2

)

4.

5.

6.

If AB = BC = CD then find the perimeter of adjoining figure.

A

= (A) 1

7m

44

7m C

(B) – 26

(C)

(D)

26

26

The first and the third terms of an arithmetic progress progression ion are equal, equal, respectively, respectively, to the first and the third term of a geometeric progression, and the second term of the arithmetic progression exceeds the second term of the geometric progression by 0.25. Calculate the sum of the first five terms of the arithmetic progression progression if its f irst term is equal to 2 : (A) 2.25 (B) 2.5 (C) 25 (D) 22.5 An organi o rgani zat ion has ha s 32 mem bers. It hopes to increase the membership by 50% each year. year. If this is done, how many members will the organization have in 5 years ? (A) 243 (B) 200 (C) 162 (D) 112

The area of a rhombus is 36 cm 2. Once of its diagonals is of length 12 cm. The other is of length (A) 7 cm (B) 6 cm (C) 3 cm (D) 9 cm

(C)

2 5 5 2

(B)

2

5

(D) None of these

(D) none of these

8.

A lawn lawn is the form of a square 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 t he lawn grazed by this cow is : (A) 300 m2 (B) 150 m 2 (C) 78.5 m2 (D) 450 m 2

9.

If the t he area of triangle with base 10 cm is equal to the area of a square of side 10 cm, then the altitude of the triangle is : (A) 5 cm (B) 10 cm

(C) 10 2 cm

10. 10.

(D) 20 cm

The angle angle of elevation of a tower from a distance 100 m from its i ts foot is. 30º. Height of the tower is (A) 100 3 m

(C)

100

50 3

m

(B)

(D)

100 3 200 3

m

m

11.

If x = r sin  cos  , y = r sin  sin  , z = r cos  then the value of x 2 + y2 + z2 is (A) 0 (B) 1 (C) r2 (D) None

12. 12.

Mean of ages of 20 students is 10 years. 5 students with mean age of 15 years leave the class. Mean of ages of remaining students will be (A) 4 (B) 5.66 (C) 6.25 (D) 8.33

If the angle  lies in the third quadrant and tan  = 2 then sin  is equal to : (A)

D

(B) 58 m

7 (C) 142 m

1

B

T N A R B I V

(A) 26 3.



2 3 1

7.

Space for rough work

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13. 13.

14. 14.

15. 15.

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 11, 10, b ,8, 6, 10, a, 4, 3, and 10 is 8.5, then the value of b is (A) 8 (B) 9 (C) 10 (D) 7

R

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? (A) 15 min. (B) 20 min. (C) 27.5 min. (D) 30 min.

D

(C)

T N A R B I V

In the given figure, the value of x is :

19. 19.

In case of long-sightedness, to remove the defect : (A) A concave lens should be used (B) A convex lens should be used (C) A plano - concave lens l ens should be used (D) A plano-convex llens ens should not be used

20. 20.

The least distance of distinct vision for a normal eye is : (A) 1 m (B) 25 cm (C) 25 m (D) None of these

21. 21.

In the given circuit, the value of total current (I) passing will be : 8 7. 2 12

A

3 0 º

O

C

(A) 125° (C) 145° 16. 16.

(D)

x

2 5 º

D

P

(B) 120° (D) 135°

A converging converging lens lens is that that which which : (A) collects rays (B) spreads rays (C) forms real real image image (D) forms forms virtual virtual image image

17. 17.

When light rays travel from fr om air to water separated by sharp boundary then : (A) it proceeds undeviated (B) it bends towards towards the normal (C) it bends away the normal (D) it is reflected

18. 18.

Which of the following shows the bending of light from a denser (D) medium into a rarer (R) medium?

(A) 1.0 A (C) 0.2 A

22. 22.

(A)

(B) 0.5 A (D) 2.0 A

A box weighing weighing 20 kg is push pushed ed along the floor at a constant speed by applying horizontal force. If the coefficient of f riction is 0.25, then then force applied is : (A) 5N (B) 10 N (C) 50 N (D) 200 N

(B) Space for rough work



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23. 23.

Boiling point of water is : (A) 173 K (B) 273 K (C) 373 K (D) 473 K

30. 30.

pounds?

24. 24.

A bullet of mass 10 g is fired with a rifle. The bullet takes 0.003 s to move through its barrel and leaves with a velocity of 300 ms –1. The force exerted on the bullet by the rifle : (A) 103 N (B) 104 N (C) 105 N (D) zero

25. 25.

The weight of a body is 120 N on the earth. If i t is taken to the moon, its it s weight and mass will be about (T ( Take g earth = 10 m/s2) : (A) 120 N, 120 kg (B) 60 N, 12 12 kg (C) 20 N, 12 kg (D) 720 N, 120 kg

26. 26.

27. 27.

T N A R B I V

1 Mole of a hydrocarbon ‘X’ undergoes complete saturation with 1 mole of hydrogen in presence of heat and catalyst. W hat would be the formula of ‘X’? (A) C2H6 (B) C2H2 (C) C5H10 (D) C7H16

(A) 3, 3-dichloro, 4-Ethyl heptane

(B) 4-Ethyl-3, 3-dichlorohexane (C) 4-Ethyl-3chlorohexane 4-Ethyl-3chlorohexane (D) 3, 3-dichloro-4-butylheptane 3-dichloro-4-butylheptane

31. 31.

(A) HNO3 (B) H2SO4 (C) H3PO4 (D) HCl

32. 32.

First and second ionization energies of magnesium are 7.646 eV and 15.035 eV respectively. respectiv ely. The amount of energy in kJ needed to convert all the atoms of magnesium into Mg 2+ ions presentin 12 × 10 –3 g of magnesium vapors is [1eV atom –1 = 96.5 kJ mol –1] (A) 2.0 (B) 1.5 (C) 1.1 (D) 0.5

33. 33.

Metals are arranged in reactivity reactivit y series accord-

The green coloured substance produced durworks is

29. 29.

(A) CrO3

(B) Cr 2O3

(C) CrO(O2)

(D) Cr(OH)3

Identify the t he species which which can give both conjugate acid and conjugate base. (A) NH4+ (B) H2PO4- (C) PO43- (D) H3O+

The basicity of phosphorous phosphorous acid is the same as the basicity basicity of .

ing the burning of ammonium dichromate in firefir e-

28. 28.

What is i s the IUPAC IUPAC name of the following com-

ing to their order of reactivit reacti vity. y. Depending Depending upon order of metal in the reactivi ty series it will be extracted from its ore. Which of the following methods will be used to extract copper from its i ts

When a metal is to be extracted from its ore

alloy cupferronickel?

and if the gangue associated with the ore is

I. Electrolysis.

silica, then

II. Reduction with Carbon

(A) An acidic flux is needed

III. Calcination.

(B) A basic flux is needed (C) Both acidic and basic fluxes are needed (D) Neither of them is needed

(A) I and II only

(B) I, II and III.

(C) II and III only

(D) I and III only




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34. 34.

35. 35.

36. 36.

37. 37.

38. 38.

39. 39.

The gas you use in kitchen is call ed liquefied petroleum gas (LPG). In the cylinder, it exi sts as a liquid. When it comes out of the cylinder, it becomes a gas (process A), then it burns (process B). Choose the correct statement. (A) (A) Process Process A is a chemical chemical change change.. (B) (B) Process Process B is a chemical chemical change change (C) Both processes A and B are chemical changes. (D) None of these processes is a chemical change

40. 40.

If nerves nerv es of heart are cut, then heart will (A) beat beat rhy rhyth thmic mica ally (B) sto stop p (C) shrink (D) none of these

41. 41.

Protozoa and earthworm earthworm are respectiv ely (A) ammonotelic and ureotelic (B) aminotelic and ammonotelic (C) aminotelic and uricotelic (D) ureotelic and uricotelic

T N A R B I V

The wavelength of a spectral line f or an electronic transition is inversely related to : (A) Number of electrons electrons undergoing undergoing transition. (B) (B) The nucle nuclear ar charge charge of the atom. atom. (C) (C) The velocity of an electron electron under undergoing going transition. (D) (D) The difference difference in the energ energy y levels involved involved in the transition.

42. 42.

In human body urea is produced pr oduced as an excretory product in the (A) liver (B) kidney (C) (C) ur urina inary bla blad dder der (D) (D) pa pancre ncrea as.

43. 43.

Ultrafiltration Ultrafi ltration occurs through through (A) basement membrane (B) glomerular glomerular membrane (C) capsular wall (D) interpodocytic space

44. 44.

Which one of the following is not a natural eco-

Yeast is

(A) An algae

(B) A protozoan

(C) A bacteria

(D) A fungi

system ?

(A) Pond ecosystem

(B) Crop land ecosystem (C) Forest ecosystem

Full form of E.C.G. E.C.G. is (A) electrochlorogram electrochlorogram (B) electrocardiogram electrocardiogram (C) electrocardiograph (D) electrochlorograph

(D) Grassland ecosystem

45. 45.

Characters transmitted transmitted from fr om parents to offspring of fspring

are present in

In closed circulatory system blood is completely enclosed with in (A) sinus (B) v essels (C) heart (D) skeleton Which blood vess v essel el in mammals would normally carry the largest amount of urea ? (A) do dorsal ao aorta (B) Pu Pulmonary v ei ein (C) re renal ar artery (D) Pu Pulmonary artery

(A) cytoplasm

(B) ribosome

(C) golgi bodies

(D) genes

Directions (46 to 48) : Find the missing terms :

46. 46.

90, 180, 12, 50, 100, 200, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3 (A) 150 (B) 175 (C) 225 (D) 250

47. 47.

AB, BA, ABD, DBA, PQRS, ? (A) SRQP (B) SRPQ (C) SQRP (D) RSQP




[5]

48. 48.

5

72 4

3

(A) 112 49. 49.

7

120 3

(B) 145

5

6

? 4

(C) 135

5

55. 55. (D) 102

If water means means food, food, food means food means tree, tree, tree means sky, sky, sky means sky means wall, wall, on which of the following foll owing grows a fruit ? (A) Water (B) Food (C) Sky (D) Tree

(A) 56. 56.

(C)

W est and  went 15 m to the North, then turned West covered 10 m, t hen turned South, and covered 5 m then turned East and covered cover ed 10 m. In which direction am  now from my house ? (A) North (B) South (C) East (D) W est

51. 51.

A × B means means A is the sister of of B, A  B means A is the daughter of B, A – B means A is the son of B. On the basis of this information you have to tell, how is P related to S in the relationship P – Q × R  S. (A) Brother (B) Son (C) Grandson (D) Daughter’s son

57. 57.

Showing the lady in the park, Vineet said, "She is the daughter of my grand father's only son. "How is Vineet related to that lady? (A) Brother (B) Cousin (C) Father (D) Uncle

58. 58.

In the month of Oct. in a year has exactly four Mondays and four Fridays. Find what day of week will be on the 20th of Nov. of that year ? (A) W ed ednesday (B) Thursday (C) Tuesday (D) Monday

The value of 1001 ÷ 11 11 ÷ 13 is : (A) 7 (B) 91 (C) 143

52. 52.

How many times the two hands of a clock form right angle from 12 o’clock noon to 6 o’clock evening ? (A) 11 (B) 12 (C) 22 (D) 24

53. 53.

The value of 625 ÷ 5 of 5 × 5 is : (A) 5 (B) 25 (C) 125 (D) 225

59. 59.

How many such pairs of letters are there in the word ‘ADVERTISEMENT’, which have as many letters between them in the word as in the alphabets ? (A) 3 (B) 4 (C) 5 (D) More than f ive

60. 60.

Direction (55) : In each of the following, follo wing, there are some figure which have some particular series. Find out the next figure ?

(D)

A post postman man was was return returning ing to the post post office which which was in front of him to the North. When W hen the post office offi ce was 100 100 metres away away from him, he turned to the left and moved 50 metres to deliv er the last letter at shantivilla. He then moved in the same direction for 40 metres, m etres, turned to his right and moved 100 metres. How many metres metr es was he away away from f rom the post office ? (A) 0 (B) 90 (C) 150 (D) 100

T N A R B I V

50. 50.

54. 54.

(B)

(D) 49

If it i t is possible to make a meaningful word with the third, the f ourth and the eleventh letters of the word CONTROVERSIAL, CONTROVERSIAL, which of the following will be the last letter of that word ? If more than one such words can be made, give giv e M as the answer and if no such word is there, give X as the answer. (A) S (B) I (C) X (D) M




[6]

Que .

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

Ans.

D

C

D

A

B

B

B

C

D

A

C

D

B

D

A

A

B

B

B

B

Que .

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

Ans.

B

C

C

A

C

C

B

B

B

A

B

C

A

B

D

D

B

B

C

A

Que .

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

Ans.

B

A

B

C

D

A

A

C

C

A

D

A

C

D

B

B

A

A

A

D

T N A R B I V Space for rough work



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Aptitude Paper Class 10

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