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# SSC CGL (Pre.) Previous Year Solved Paper - 2013 "Quantitative Aptitude"

__SSC CGL (Pre.) Previous Year Solved Paper - 2013__

__Subject: Quantitative Aptitude__

**1. A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in**

(a) 6 days

(b) 8 days

(c) 10 days

(d) 12 days

**2. A and B together can complete a work in 3 days. They start together but, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in**

(a) 4 days

(b) 6 days

(c) 8 days

(d) 10 days

**3. A does 20% less work than B. If A can complete a piece of work in 15/2 h, then B can do it in**

(a) 4 h

(b) 6 h

(c) 8 h

(d) 10 h

**4. A rational number between 3/4 and 3/8 is**

(a) 7/3

(b) 16/9

(c) 9/16

(d) 1/7

**5. Product of two coprime numbers is 117. Then their LCM is**

(a) 9

(b) 13

(c) 39

(d) 117

**6. The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is**

**7. The total surface area of a sphere is 8p square unit. The volume of the sphere is**

**8. A conical flask is full of water. The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is**

**9. A dozen pairs of socks quoted at Rs. 180 are available at discount of 20%. How many pairs of socks can be bought for Rs. 48?**

(a) 4 pairs

(b) 2 pairs

(c) 5 pairs

(d) 3 pairs

**10. The marked price of a table is Rs. 12000. If it was sold for Rs. 10500 after allowing a certain discount, then the rate of discount is**

(a) 10%

(b) 12.5%

(c) 15%

(d) 17.5%\

**11. The marked price of a radio set is Rs. 480. The shopkeeper allows discount of 10% and gains 8%. If no discount is allowed, his gain percent would be**

(a) 18%

(b) 18.5%

(c) 20%

(d) 25%

**12. The prices of a school bag and a shoe are in the ratio 7 : 5. The price of school bag is Rs. 200 more than the price of a shoe. Then, the price of a shoe is**

(a) Rs. 700

(b) Rs. 500

(c) Rs. 1200

(d) Rs. 200

**13. A sum of Rs. 300 is divided among P, Q and R in such a way that Q gets Rs. 30 more than P and R gets Rs. 60 more than Q. The ratio of their shares is**

(a) 2 : 3 : 5

(b) 3 : 2 : 5

(c) 2 : 5 : 3

(d) 5 : 3 : 2

**14. The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then, the sixth number is**

(a) 34

(b) 24

(c) 44

(d) 30

**15. The average of the first nine integral multiples of 3 is**

(a) 12

(b) 15

(c) 18

(d) 21

**16. An article is sold for Rs. 300 at a profit of 20%. Had it been sold for Rs. 235, the loss percentage would have been**

(a) 3

(b) 5

(c) 6

(d) 16

**17. A box has 100 blue balls, 50 red balls and 50 black balls. 25% of blue balls and 50% of red balls are taken away. Then, percentage of black balls at present is**

(a) 25%

(b) 100/3%

(c) 40%

(d) 50%

**18. Two cars are moving with speeds v1 and v2 towards a crossing along two roads. If their distance from the crossing be 40 m and 50 m at an instant of time, then they do not collide, if their speeds are such that**

**19. A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is**

(a) 4 : 1

(b) 1 : 4

(c) 2 : 1

(d) 1 : 2

**120. The simple interest on Rs. 4000 in 3 yr at the rate of x% per annum equals to the simple interest on Rs. 5000 at the rate of 12% per annum in 2 yr. The value of x is**

(a) 6%

(b) 8%

(c) 9%

(d) 10%

**21. If x2 – 3x + 1 = 0, then value of**

**x2 + x + 1/x+1/x ^{2} is**

(a) 2

(b) 6

(c) 8

(d) 10

(a) 3

(b) 4

(c) 6

(d) 9

(a) 9.898

(b) 10.312

(c) 8.484

(d) 4.242

**24. If a ^{2} + b ^{2} + 4c ^{2} = 2(a + b – 2c) – 3 and a, b, c are real, then the value of (a ^{2} + b ^{2} + c ^{2}) is**

(a) 13/4

(b) 2

(c) 9/4

(d) 3

**25. A number x when divided by 289 leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is**

(a) 2

(b) 3

(c) 1

(d) 5

(a) (2, 4)

(b) (0, 0)

(c) (3, 2)

(d) None of these

**27. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.**

(a) 1

(b) 2

(c) 0

(d) – 1

(a) 60°

(b) 45°

(c) 55°

(d) 35°

(a) 8 cm ^{2}

(b) 16 cm ^{2}

(c) 24 cm ^{2}

(d) 32 cm ^{2}

**31. The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that**

(a) AP . CP = BP . DP

(b) AP . BP = CP . DP

(c) AP . CD = AB . CP

(d) BP . AB = CD . CP

**32. N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is**

(a) 50°

(b) 55°

(c) 60°

(d) 65°

**34. A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is**

(a) 60 m

(b) 65 m

(c) 70 m

(d) 72 m

(a) 90°

(b) 100°

(c) 110°

(d) 120°

**36. In a triangle, if three altitudes are equal, then the triangle is**

(a) equilateral

(b) right

(c) isosceles

(d) obtuse

**37. The tops of two poles of height 24 m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is**

**44. The selling price of 20 articles is equal to the cost price of 22 articles. The gain percentage is**

(a) 12%

(b) 9%

(c) 10%

(d) 11%

**45. A man gains10% by selling an article for a cetain price. If he sells it at double the price, then the profit made is**

(a) 120%

(b) 20%

(c) 40%

(d) 100%

**46. A number increased by 275/2 and the increment is 33. The number is**

(a) 27

(b) 22

(c) 24

(d) 25

**Directions (Q. Nos. 47-50)** The following pie chart shows the marks scored by a student in different subjects- viz. Physics (Ph), Chemistry (Ch), Mathematics (M), Social Science (SS) and English (E) in an examination. Assuming that total marks obtained for the examination is 810, answer the questions given below.

**47. The marks obtained in English, Physics and Social Science exceed the marks obtained in Mathematics and Chemistry by**

**48. The difference of marks between Physics and Chemistry is same as that between**

(a) Physics and English

(b) Mathematics and English

(c) English and Social Science

(d) Chemistry and Social Science

**49. The marks obtained in Mathematics and Chemistry exceed the marks obtained in Physics and Social Science by**

(a) 30

(b) 40

(c) 45

(d) 50

**50. Thu subject in which the student obtained 135 marks is**

(a) Physics

(b) Chemistry

(c) Mathematics

(d) English

## Answer Key

1.c |
6.d |
11.c |
16.c |
21.d |
26.b |
31.b |
36.a |
41.b |
46.c |

2.b |
7.d |
12.b |
17.b |
22.b |
27.a |
32.c |
37.a |
42.a |
47.d |

3.b |
8.c |
13.a |
18.d |
23.a |
28.a |
33.c |
38.a |
43.a |
48.d |

4.c |
9.a |
14.b |
19.b |
24.c |
29.c |
34.a |
39.c |
44.c |
49.c |

5.d |
10.b |
15.b |
20.d |
25.c |
30.b |
35.c |
40.b |
45.a |
50.d |

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