# SSC CGL (Pre.) Previous Year Solved Paper - 2014, 2nd Shift "Numerical Aptitude"

## SSC CGL (2 shift) Previous Year Solved Paper - 2014

## Subject: Numerical Aptitude

**1.**

(a) 198

(b) 180

(c) 108

(d) 189

**2.**

(a) 15 cm

(b) 12 cm

(c) 10 cm

(d) 11 cm

**3.**

**4.**

(a) 100°

(b) 120°

(c) 130°

(d) 140°

**5. In the measures of the sides of triangle are (x2-1)cm, (x2+1) cm and 2x cm, then the triangle would be**

(a) equilateral

(b) acute angled

(c) isosceles

(d) right angled

**6. 2x = 4y = 8z and xyz = 288, then **

**7.**

(a) 25

(b) 27

(c) 36

(d) 49

**8.**

(a) 10 cm

(b) 5 cm

(c) 20 cm

**9.**

**10.**

**11.**

**12. If angle bisector is a triangle bisect the opposite side, then what type of triangle is?**

(a) Right angled

(b) Scalene

(c) Similar

(d) Isosceles

**13. If each angle of a triangle is less than the sum of the other two, them the triangle is**

(a) obtuse angled

(b) right angled

(c) acute angled

(d) equilateral

**14. A can complete a work in m days and B can complete it in n days. how many days will it take to complete the work if both A and B work together?**

**15. Pipe A is an inlet pipe filling the tank at 8000 L/h. Pipe B empties the tank in 3 h. The capacity of the tank is**

(a) 12000 L

(b) 8000 L

(c) 6000 L

(d) 4000 L

**16. A tap drips at a rate of one drop/s, 600 drops make 100 ml. The number of litres wasted in 300 days is**

(a) 4320000

(b) 432000

(c) 43200

(d) 4320

**17.**

**18. Three numbers are in the ratio 1:2:3 and their HCF is 12. The numbers are**

(a) 12, 24, 26

(b) 5, 10, 15

(c) 4, 8, 12

(d) 10, 20, 30

**19. If x [-2 {-4 (-a)}] + 5 [-2(-a)}] = 4a, then x is equal to**

(a) -2

(b) -3

(c) -4

(d) -5

**20. The list price of a shirt is Rs. 440 and a customer pays Rs. 396 for it. The discount rate is**

**21.**

(a) Rs. 7300

(b) Rs. 7700

(c) Rs. 8000

(d) Rs. 7250

**22. To attract more visitors, zoo authority announces 20% discount on every ticked which costs 25 paise. For this reason, sale of ticket increases by 28%. Find the percentage of increase in the number of visitors.**

(a) 40

(b) 50

(c) 60

(d) No change

**23. Which of the followng represents a correct proportion?**

(a) 12 : 9 = 16 : 12

(b) 13 : 11 = 5 : 4

(c) 30 : 45 = 13 : 24

(d) 3 : 5 = 2 : 5

**24. A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12 cm and radius 6 cm. The radius of the sphere (in cm) will be **

(a) 3

(b) 2

(c) 4

(d) 6

**25. The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statments is true?**

(a) C = S = T

(b) C > S > T

(c) C < S < T

(d) S < C < T

**26. In two successive years, 80 and 60 students of a school appeared at the final examination of which 60% and 80% passed respectively. The average rate of students passed (in percent) is**

**27. Nisha bought a number of oranges at 2 or a rupee and an equal number at 3 for a rupee. To make a profit of 20% she should sell a dozen for**

(a) Rs. 6

(b) Rs. 8

(c) Rs. 10

(d) Rs. 12

**28. IF A’s salary is 50% more than that of B, then B’s salary is less than A’s by**

**29. A and B are 20 km apart. A can walk at an average speed of 4 km/hr and B at 6 km/h. If they start walking towards each otehr at 7:am, when they will meet?**

(a) 8:00 am

(b) 8:30 am

(c) 9:00 am

(d) 10:00 am

**30. A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps. 5 steps of teh policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and thief is**

(a) 25 : 28

(b) 25 : 56

(c) 28 : 25

(d) 56 : 25

**31. In a Mathematics examination the numbers scored by 5 candidates are 5 successive odd integers. If their total marks is 185, the highest score is**

(a) 39

(b) 46

(c) 41

(d) 37

**32. The graphs of x = a and y = b intersect at**

(a) (a, b)

(b) (b, a)

(c) (–a, b)

(d) (a, –b)

**33.**

(a) 10

(b) 2

(c) 1

(d) 100

**34.**

(a) 4

(b) 5

(c) 6

(d) 8

**35. If = 5 a+2 , then the value of a is**

(a) 4

(b) 5

(c) 6

(d) 8

**36. If x2 - 3x + 1 = 0, then the value of will be**

(a) 18

(b) 15

(c) 21

(d) 30

**37. A boat goes 24 km upstream and 28 km downstream, in 6 h. It goes 30 km upstream and 21 km downstream in 6 h and 30 min. The speed of the boat in still ater, is**

(a) 8 km/h

(b) 9 km/h

(c) 12 km/h

(d) 10 km/h

**38. The compound interest on a certain sum of money for 2 yr at 5% per annum is Rs. 410. The simple interest on the same sum at the same rate and for the same time is**

(a) Rs. 400

(b) Rs. 300

(c) Rs. 350

(d) Rs. 405

**39. If a cos+ b sin = p and a sin - b cos = q, then thw relation between a, b, p and q is**

(a) a2 - b2 - p2 - q2

(b) a2 + b2 = p2 + q2

(c) a + b = p + q

(d) a - b = p - q

**40. From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30°. A flag is shoisted at the top of the building and the angle ofelevationof the top of the flagstaff from P is 45°. Find the length of the flafstaff. **

**41.**

**42.**

**43. 60 students were asked to choose their favourite sport. Their distribution is as follows.
Football - 15, Cricket - 12,
Swimming - 12, Basketball - 11
Athletics - 10
The data is illustrated in a pie chart.
What angle should be used for football?**

(a) 15°

(b) 60°

(c) 90°

(d) 180°

**44.**

**Directions (Q. Nos. 45-50): **Study the graph carefully and answer the questions.

**45. In which year the sale of cool-sip in minimum?**

(a) 1990

(b) 1992

(c) 1993

(d) Non of these

**46. In case of which soft drink was the average annual sale maximum during the period 1988-1993?**

(a) Pep-up

(b) Pep-up and dew-drop

(c) Cool-sip

(d) Cool-sip and pep-up

**47. What was the approximate percent drop in the sale of pep-up in 1990 over its in 1989?**

(a) 5

(b) 14

(c) 12

(d) 20

**48. What was the approximate percent increase in sales of cool-sip in 1990 over its sales in 1989?**

(a) 100

(b) 50

(c) 171

(d) 150

**49. In which year sale of dew-drop in maximum?**

(a) 1988

(b) 1992

(c) 1989

(d) 1993

**50. In case of which soft drink was the average annual sale minimum during the period 1988-1993?**

(a) Pep-up

(b) Cool-sip

(c) Dew-drop

(d) Dew-drop and cool-si

## Answers Key

**1. (a) 2. (b) 3. (a) 4. (d) 5. (d) 6. (b) 7. (c) 8. (b) 9. (a) 10. (a)
11. (c) 12. (c) 13. (c) 14. (d) 15. (a) 16. (d) 17. (c) 18. (a) 19. (b) 20. (a)
21. (c) 22. (c) 23. (a) 24. (a) 25. (b) 26. (b) 27. (a) 28. (d) 29. (c) 30. (a)
31. (c) 32. (a) 33. (b) 34. (a) 35. (a) 36. (*) 37. (d) 38. (a) 39. (b) 40. (d)
41. (a) 42. (b) 43. (c) 44. (b) 45. (d) 46. (a) 47. (b) 48. (c) 49. (b) 50. (c)**