## SSC CHSL - Quantitative Aptitude

Quantitative Aptitude

1. This Section consists of 50 questions.

2. All questions are compulsory and carry equal marks.

3. Answer the questions quickly and as carefully as you can.

4. Some questions may be difficult and others easy.

5. Do not spend too much time on any question.

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Question 1 |

**1. 40 men can complete a work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ?**

A | 6 |

B | 8 |

C | 10 |

D | 12 |

Question 2 |

**2. 16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will it take them to complete the remaining work ?**

A | 4 |

B | 6 |

C | 8 |

D | 10 |

Question 3 |

**3. The area of an equilateral triangle is 48 sq. cm. The length of the side is—**

A | √ 8 × 4 cm |

B | 4√ 3 cm |

C | 8(3)^1/4 cm |

D | 16 cm |

Question 4 |

**4. An elephant of length 4 m is at one corner of a rectangular cage of size (16 m × 30 m) and faces towards the diagonally opposite corner. If the elephant starts moving towards the diagonally opposite corner it taken 15 seconds to reach this corner. Find the speed of the elephant—**

A | 1 m/sec |

B | 2 m/sec |

C | 1·87 m/sec |

D | 1·5 m/sec |

Question 5 |

**5. A shopkeeper allows a rebate 12% on the marked price of an article such that the selling price is Rs. 440. Then the marked price of the article is—**

A | Rs. 490 |

B | Rs. 500 |

C | Rs. 600 |

D | Rs. 550 |

Question 6 |

**6. A tradesman marks his goods at 25 p.c. above the cost price. If he reduces the marked price by 12 1/2 p.c., then his profit will be—**

A | 9 3/8 p.c. |

B | 7 3/5 p.c. |

C | 6 3/8 p.c. |

D | 5 1/3 p.c. |

Question 7 |

**7. If A : B = 7 : 9 and B : C = 3 : 5, then A : B : C is equal to—**

A | 7 : 9 : 5 |

B | 21 : 35 : 45 |

C | 7 : 9 : 15 |

D | 7 : 3 : 15 |

Question 7 Explanation:

A : B = 7 : 9
B : C = 3 : 5
= 9 : 15
Hence, A : B : C = 7 : 9 : 15

Question 8 |

**8. Three numbers are in the ratio 1 : 2 : 3 and their H.C.F. is 12. The numbers are—**

A | 4, 8, 12 |

B | 5, 10, 15 |

C | 10, 20, 30 |

D | 12, 24, 36 |

Question 8 Explanation:

Let numbers are x, 2x and 3x.
Then, xcf = x
So, x = 12
Now, the numbers are 12, 24, 36.

Question 9 |

**9. A cricketer whose bowling average is 12·4 runs per wicket, takes 5 wickets for 26 runs and thereby decreases his average by 0·4. The number of wickets taken by him till the last match was—**

A | 64 |

B | 72 |

C | 80 |

D | 85 |

Question 10 |

**10. The average monthly income of P and Q is Rs. 5,050. The average monthly income of Q and R is Rs. 6,250 and the average monthly income of P and R is Rs. 5,200. The monthly income of P is—**

A | Rs. 3500 |

B | Rs. 4000 |

C | Rs. 4050 |

D | Rs. 5000 |

Question 11 |

**11. Mr. Y purchased a flat for Rs. 9,25,000 and spent Rs. 35,000 for its renovation. If he sold the flat for Rs. 10,80,000, then his profit per cent is—**

A | 15·0 |

B | 17·5 |

C | 20·5 |

D | 12·5 |

Question 12 |

**12. A table is sold at a profit of 13%. If it is sold for Rs. 25 more, profit is 18%. Cost price of table is—**

A | Rs. 100 |

B | Rs. 500 |

C | Rs. 200 |

D | Rs. 1000 |

Question 13 |

**13. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is—**

A | 36% of all students |

B | 64% of all students |

C | 71% of all students |

D | 78% of all students |

Question 13 Explanation:

The number of students
passed in both subjects
= 100 – (19 + 10 – 7)
= 100 – 22
= 78% of all students

Question 14 |

**14. Mr. X spends 35% of his salary on food and 5% of his salary on children education. In January 2011, he spent Rs. 17,600 on these two items. His salary for that month is—**

A | Rs. 40,000 |

B | Rs. 44,000 |

C | Rs. 48,000 |

D | Rs. 46,000 |

Question 15 |

**15. A motorist travels along the boundary of a square field of area 1476225 m^2, at 36 km/hr. He returns to starting point in—**

A | 8 min., 8 sec. |

B | 6 min., 8 sec. |

C | 8 min., 6 sec. |

D | 6 min., 6 sec. |

Question 16 |

**16. A sum of Rs. 800 amounts to Rs. 920 in 3 years at the simple interest rate. If the rate is increased by 3% p.a., what will be the sum amount to in the same period ?**

A | Rs. 992 |

B | Rs. 962 |

C | Rs. 942 |

D | Rs. 982 |

Question 17 |

**17. Each edge of a regular tetrahedron is 4 cm. Its volume (in cubiccm) is—**

A | 16 √3/3 |

B | 16 √3 |

C | 16 √2/3 |

D | 16 √2 |

Question 18 |

**18. If the numerical value of the circumference and area of a circle is same, then the area is—**

A | 6 π sq. unit |

B | 4 π sq. unit |

C | 8 π sq. unit |

D | 12 π sq. unit |

Question 19 |

**19. The median of an equilateral triangle is 6√3 cm. The area (in cm^2) of the triangle is—**

A | 72 |

B | 108 |

C | 72√3 |

D | 36√3 |

Question 20 |

**20. If the perimeter of an equilateral triangle be 18 cm, then the length of each median is—**

A | 3√2 cm |

B | 2√3 cm |

C | 3√3 cm |

D | 2 √2 cm |

Question 21 |

**21. If the radius of a cylinder is decreased by 50% and the height is increased by 50%, then the change in volume is—**

A | 52·5% |

B | 67·5% |

C | 57·5% |

D | 62·5% |

Question 22 |

**22. The simplified value of—**

A | √2 |

B | 1/√2 |

C | √3- √2 |

D | 0 |

Question 23 |

23.

A | 0 |

B | 1 |

C | 2 |

D | 6 |

Question 24 |

24.

A | 0 |

B | 1 |

C | -1 |

D | 4 |

Question 25 |

25.

A | 0 |

B | 1 |

C | -1 |

D | 3 |

Question 26 |

26.

A | 1,2 |

B | 2, -1/2 |

C | 0,1 |

D | 1/2, 1 |

Question 27 |

**27. In a Δ ABC, ∠A + ∠B = 70° and ∠B + ∠C = 130°, value of ∠A is—**

A | 20° |

B | 50° |

C | 110° |

D | 30° |

Question 27 Explanation:

∠A + ∠B = 70°
∠B + ∠C = 130°,
and
∠A + ∠B + ∠C = 180°
∠A + 130° = 180°
∠A = 180° – 130°
= 50°

Question 28 |

**28. In a Δ ABC, if 2∠A = 3∠B = 6∠C, value of ∠B is—**

A | 60° |

B | 30° |

C | 45° |

D | 45° |

Question 29 |

**29. If sec θ + tan θ = 4, (θ ≠ 90°), then the value of cos θ is—**

A | 0 |

B | 8/17 |

C | 17/8 |

D | 4/5 |

Question 30 |

**30. Two circles touches externally at P. QR is a common tangent of the circles touching the circles at Q and R. Then measure of ∠QPR is—**

A | 60° |

B | 30° |

C | 90° |

D | 45° |

Question 31 |

**31. If in a triangle ABC, D and E are on the sides AB and AC, such that, DE is parallel to BC and AD/BD = 3.5 If AC = 4 cm, then AE is—**

A | 1·5 cm |

B | 2·0 cm |

C | 1·8 cm |

D | 2·4 cm |

Question 32 |

**32. A person has three iron bars whose lengths are 10, 15 and 20 metres respectively. He wants to cut pieces of same length from each of the three bars. What is the least number of total pieces if he is to cut without any wastage ?**

A | 45 |

B | 15 |

C | 9 |

D | 30 |

Question 33 |

33.

**Answres**A | a is the correct answer |

Question 34 |

34.

A | 0·4 |

B | 0·8 |

C | 1·0 |

D | 1·4 |

Question 35 |

35.

A | ·0025 |

B | ·025 |

C | ·25 |

D | ·00025 |

Question 36 |

36.

A | 1/5,-4 |

B | 5,-1/4 |

C | 2/5,-5/2 |

D | 3/5,-5/3 |

Question 37 |

**37. If θ is a positive acute angle and cosec θ = √3, then the value of cot θ – cosec θ is—**

**Answers**

A | a is the correct answer |

Question 38 |

**38. If 0° < A < 90°, then the value of tan^2 A + cot^2 A – sec^2 A cosec62 A is—**

A | 0 |

B | 1 |

C | 2 |

D | -2 |

Question 39 |

**39. If α and β are positive acute angles, sin (4α – β) = 1 and cos (2α + β) = 1/2, then the value of sin (α + 2β) is—**

A | 0 |

B | 1 |

C | √3/2 |

D | 1/√2 |

Question 40 |

**40. The angle of elevation of sun changes from 30° to 45°, the length of the shadow of a pole decreases by 4 metres, the height of the pole is—**

**(Assume √3 = 1·732)**

A | 1·464 m |

B | 9·464 m |

C | 3·648 m |

D | 5·464 m |

Question 41 |

**41. From an aeroplane just over a river, the angle of depression of two palm tree on the opposite bank of the river are found to be 60° and 30° respectively. If the breadth of the river is 400 metres, then the height of the aeroplane above the river at that instant is—**

**(Assume √3 = 1·732)**

A | 173·2 metres |

B | 346·4 metres |

C | 519·6 metres |

D | 692·8 metres |

Question 42 |

**Directions—(Q. 42 to 45) Study the graph carefully and answer the questions given below it—**

42. The production of state D in 1993-94 is how many times it production in 1994-95 ?

A | 1·33 |

B | 0·75 |

C | 0·56 |

D | 1·77 |

Question 43 |

**Directions—(Q. 42 to 45) Study the graph carefully and answer the questions given below it—**

43. Which of the following statement is false ?

A | State A and E showed the same production in 1993-94. |

B | There was no improvement in the production of cotton in state B during 1994-95. |

C | State A has produced maximum cotton during the given
period. |

D | Production of state C and D together is equal to that of state B during 1993-94. |

Question 44 |

**Directions—(Q. 42 to 45) Study the graph carefully and answer the questions given below it—**

44. How many states showing below average production in 1992-93 showed above average production in 1993-94 ?

A | 4 |

B | 2 |

C | 3 |

D | 1 |

Question 45 |

**Directions—(Q. 42 to 45) Study the graph carefully and answer the questions given below it—**

45. What is the average production of the five states in the year 1994-95 taken together ?

A | 12·3 |

B | 14·6 |

C | 15·6 |

D | 16·3 |

Question 46 |

**Directions—(Q. 46 to 50) The subjectwise no. of applicants for the year 2008 and 2009 in a college is given in the following chart. Study the graph and answer.**

46. The subject for which growing of demand is maximum is—

A | Chemistry |

B | Mathematics |

C | Computer |

D | Biotechnology |

Question 47 |

**Directions—(Q. 46 to 50) The subjectwise no. of applicants for the year 2008 and 2009 in a college is given in the following chart. Study the graph and answer.**

47. The subject for which growing of demand is minimum is—

A | Statistics |

B | Zoology |

C | Botany |

D | Microbiology |

Question 48 |

**Directions—(Q. 46 to 50) The subjectwise no. of applicants for the year 2008 and 2009 in a college is given in the following chart. Study the graph and answer.**

48. The number of Chemistry seeking applicants increased by—

A | 17·26% |

B | 18·89% |

C | 19·25% |

D | 21·08% |

Question 49 |

49. The number of Physics seeking applicants increased by—

A | 17·26% |

B | 18·89% |

C | 19·25% |

D | 21·08% |

Question 50 |

50. The number of Mathematics seeking applicants increased by—

A | 17·26% |

B | 18·89% |

C | 19·25% |

D | 21·08% |

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