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# Quantitative Abilities for SSC CGL Exams

1. If the sum of digits of any number, lying between 100 and 1000, is subtracted  from the number the difference is always divisible by:
a) 12
b) 9
c) 6
d) 2

2. Consider those numbers between 300 and 400 such that when each number is divide  by 6, 9 and 12 it leaves 4 as remainder in each case. What is the sum of the numbers?
a) 692
b) 764
c) 1080
d) 1092

3. The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600.  If one of the numbers is 80, then the other is:
a) 45
b) 25
c) 280
d) 65

4. A fort has provision for 220 soldiers for 16 weeks at the rate of 45 g per day. How many soldiers should go out so that the provision may last for 24 weeks at the rate of 33 g per day?
a) 20
b) 30
c) 25
d) 40

5. In an examination, 42% candidates failed in Hindi and 52% failed in English. 17% failed in both the subjects. If 69 candidates passed in both the subjects, what is the total number of candidates appeared?
a) 600
b) 500
c) 400
d) 300

6. A man gives 20% of his salary eldest son. 30% of the remaining he gives to his younger son. 10% of the remaining he gives in a school for poor boy. Still he has Rs. 100.80. What is his total sum?
a) Rs. 250
b) Rs. 300
c) Rs. 200
d) Rs. 500

7. Vinod was engaged on the condition that he will get Rs. 50 per day when he works. But he will be fined Rs. 5 per day when he is absent. If after 30 days he gets Rs. 950 in all for how many days did he remain absent?
a) 5
b) 4
c) 9
d) 10

8. Two taps A and B can fill a cistern in 16 min and 24 min respectively. How much after opening the both taps the tap B should be turned off so that the cistern may take 12 min to fill?
a) 4 min
b) 10 min
c) 6 min
d) 8 min

9. A train 100 m long is running at the speed of 21 km/h and another train 150 m long is running at the speed of 36 km/h in the same direction. How long will the faster take to pass the first train?
a) 45 s
b) 50 s
c) 60 s
d) 65 s

10. Ram covers a certain distance by train at 25 km/h and the same distance on foot at 4 km/h. If the time taken by him for the whole journey be 5 h and 48 min, how much total distance did he cover?
a) 50 km
b) 40 km
c) 55 km
d) 60 km

11. The speed of the current is 2 km/h. A boat goes 20 km upstream and back again to the starting point in 110 min. What is the speed of the boat in still water?
a) 25 km/h
b) 22 km/h
c) 15 km/h
d) 19 km/h

12. Two equal glasses are 1/3 and 1/4 full of milk respectively. They are completely filled up in another vessel. What will be the ratio of milk and water in the vessel?
a) 1 : 5
b) 7 : 17
c) 3 : 7
d) 2 : 5

13. A and B enter into a partnership with capital in the ratio of 5 : 6. After 8 months, A withdraws his capital If their shares in profit are in the ratio of 5 : 9, then for how much time the capital of B remained in the business?
a) 12 months
b) 10 months
c) 16 months
d) 18 months

14. The compound interest on Rs. 6000 for 3 years at 8% for first year, 10% for second year and 12% for third year is Rs. ____
a) 1982.185
b) 1982.936
c) 1983.250
d) 1983.366

15. A person invested some amount at the rate of 12% simple interest and the remaining at 10%. He received yearly an interest of Rs.130. If he interchanged the amounts invested, he would have received an interest of Rs.134. How much money did he invest at different rates?
a) Rs.500 at the rate of 10%, Rs.800 at the rate of 12%
b) Rs.700 at the rate of 10%, Rs.600 at the rate of 12%
c) Rs.800 at the rate of 10%, Rs.400 at the rate of 12%
d) Rs.700 at the rate of 10%, Rs.500 at the rate of 12%

16. Three glasses of capacity 2 L, 5 L and 9 L contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three glasses are emptied into a large vessel. What is the ratio of milk to water in the resultant mixture?
a) 52 : 49
b) 31 : 151
c) 125 : 51
d) 121 : 39

17. If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of the cost price by Rs.1, then what is the cost price of article?
a) Rs. 280
b) Rs. 300
c) Rs. 400
d) Rs. 350

18. The captain of a famous club cricket team of eleven members is 26 years old and the wicket
keeper is 3 years older than him. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average
age of the team?
a) 22 years
b) 23 years
c) 24 years
d) 25 years

19. By selling 33 m of cloth, shopkeeper gains the selling price of 11 m of cloth. His gain per cent is:
a) 33.33%
b) 20%
c) 50%
d) 7%

20. A leak was founded in a ship when it was 77km from the shore. It was found that the leak
admits 2.25 tones of water in 5.5 min. 92 tones will suffice to sink the ship. But the pumps can
throw out 12 tones an hour. The average rate of sailing at which the ship may reach the shore as
she begins to sink, is:
a) 10.5 km/h
b) 14.5 km/h
c) 9.75 km/h
d) 13 km/h

21. Rajdhani Express has a capacity of 500 seats of which 10% is in the Executive class, rest being chaircar. During one journey, the train was booked to 85% of its capacity. If executive class was booked to 96% of its capacity, how many chaircar seats were empty during that journey?
a) 70
b) 75
c) 73
d) 71

22. Two trains of length 100 m and 80 m respectively run on parallel lines of rails. When running in the same direction the faster train passes the slower one in 18 s, but when they are running in opposite directions with the same speeds as earlier, they pass each other in 9 s. Then what is the speed of faster train?
a) 5 m/s
b) 10 m/s
c) 15 m/s
d) 20 m/s

23. If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball is:
a) 100p sq cm
b) 60p sq cm
c) 70p sq cm
d) 50p sq cm

24. A car driver travels from plain to hill station, which are 200 km apart at an average speed of 40 km/h. In the return trip he covers the same distance at an average speed of 20 km/h. The average speed of the car over the entire distance of 400 km is:
a) 26.67 km/h
b) 35 km/h
c) 16.56 km/h
d) 17.89 km/h

25. A shopkeeper bought a chair and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs. 55 more, he would have had a profit of 40%. What is the cost price of chair?
a) Rs. 250
b) Rs. 200
c) Rs. 225
d) Rs. 175

26. A person borrows Rs. 4000 from a co-operative bank at 7½% compound interest. At the end of every year he pays Rs.1500 as part repayment of loan and interest. How much does he still owe to the co-operative bank after three such installments?
a) Rs. 150.75
b) Rs. 157.66
c) Rs. 123.25
d) Rs. 123.75

27. P, Q and R enter into partnership by making investments in the ratio 3 : 5 : 7. After a year R invests another Rs. 337600 while P withdrew Rs. 45600. The ratio of investments, then changes to 24: 59 : 167. How much did P invest initially?
a) Rs. 141600
b) Rs. 135000
c) Rs. 96000
d) Rs. 45600

28. The children in three societies are in the ratio 2 : 3 : 5. If 10 children are increased in each society, the ratio changes to 4 : 5 : 7. The total number of children, before the increase were:
a) 5
b) 45
c) 50
d) 30

29. The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. If the simple interest accrued by the sum for a total period of 9 years is Rs. 2240, what is the sum?
a) Rs. 3000
b) Rs. 4000
c) Rs. 5000
d) Rs. 8000

30. A property dealer leaves 12900 sq yards area to be divided among his 5 brothers, 4 daughters and 2 sisters. If each daughter receives 4 times as much as each sister and each brother gets 5 times as much as each sister, then how much did each daughter get?
a) 200 sq yards
b) 500 sq yards
c) 300 sq yards

31. A rectangular courtyard of a temple 3.78 m long and 5.25 m wide is paved exactly with square marble stones, all of the same size. What is the largest size of the marble stone which could be used for the purpose?
a) 14 cm
b) 28 cm
c) 21 cm
d) 42 cm

32. The sum of the ages of a mother and son is 45 years. Five years ago the product of their ages was 4 times the mother’s age at that time. The present age of the mother and son, respectively are:
a) 36 yr, 9 yr
b) 39 yr, 6 yr
c) 42 yr, 12 yr
d) 25 yr, 10 yr

33. Geetanjali bought two wrist watches for Rs.720. She sold one at loss of 15% and the other at a gain of 19% and then her friend found that each wrist watch was sold at the same price. What is the cost of the wrist watch sold at a loss?
a) Rs. 440
b) Rs. 420
c) Rs. 325
d) Rs. 252

34. In an exam, the average was found to be 50 marks. After deducting computational errors, the marks of the 100 candidates had to be changed from 90 to 60 each and the average came down to 45 marks. The total number of candidates who took the exam were:
a) 150
b) 350
c) 600
d) 700

35. A person starts going for evening walk everyday. The distance walked by him on the first day was 4 km. Everyday he walks half of the distance walked on the previous day. What can be the maximum total distance walked by him in his life time?
a) 36 km
b) 240 km
c) 8 km

36. If a, ß are the roots of the equation x2 -px+q = 0, then what is the value of (a3+ß3)?
a) p-3pq
b) p3+3pq
c) p3-3pq
d) 3p-q3

37. A and B can do given work in 8 days, B and C can do the same work in 12 days and A, B, C
complete it in 6 days. In how many days can A and C finish it?
a) 12
b) 8
c) 14
d) 16

38. In a division operation, the divisor is 5 times the quotient and twice the remainder, If the remainder is 15, then what is the dividend?
a) 175
b) 185
c) 195
d) 250

39. The speed of a boat in still water is 10 km/h. If it can travel 26 km downstream and 14 km upstream in the same time, then the speed of the stream is:
a) 2 km/h
b) 2.5 km/h
c) 3.2 km/h
d) 3 km/h

40. The least positive integer that should be subtracted from 3011 × 3012 so that the difference is perfect square is:
a) 3009
b) 2010
c) 3011
d) 3012

41. A works alone, he would take 4 days more to complete the job than, if both A and B worked
together. If B worked alone, he would take 16 days more to complete the job than, if A and B work together. How many days would they take to complete the work, if both of them worked together?
a) 10
b) 12
c) 6
d) 8

42. 2 men and 5 women can do a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in ___ days
a) 36
b) 21
c) 30
d) 42

43. By selling an article at th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is:
a) 5 : 3
b) 3 : 5
c) 3 : 4
d) 4 : 3

44. A man on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the tower?
a) 16 min 23 sec
b) 17 min 34 sec
c) 15 min 32 sec
d) 14 min 41 sec

45. If sides of parallelogram are 12 cm and 8 cm, It’s one diagonal is 10 cm, then other diagonal is:
a) 17.8 cm
b) 16.2 cm
c) 16.9 cm
d) Can’t be determined

46. A cubic metre of copper weighing 9002 kilogram is rolled into a square bar 9 metres long. An exact cube is cut off from the bar. How much does it weight?
a) 334 kg
b) 336 kg
c) 313.3 kg
d) Data insufficient

47. A cuboid of measures 6cm × 42 cm × 45cm is cut into certain number of cubes. What will be the least possible number of cubes?
a) 425
b) 420
c) 430
d) 435

48. If the volumes of a sphere and a cylinder of equal radius are same, then ratio of the radius and height of the cylinder will be:
a) 4 : 3
b) 3 : 2
c) 3 : 4
d) 2 : 3

49. Two cm of rain has fallen on a square km of land. Assuming that 50% of the rain drops could have been collected and contained in a pool having a 100m × 10m base, by what level would the water level in the pool have increase?
a) 10 m
b) 12 m
c) 7 m
d) 20 m

50. In a ?ABC, tanA + tanB + tanC = 6 and tanA.tanB = 3, then tanC =
a) 1
b) 3
c) 2
d) 4

51. A triangle is formed by the Xaxis and the lines 2x + y = 4 and x–y + 1 = 0 as three sides. Taking the side along X-axis its base, the corresponding altitude to the triangle is:
a) 2 unit
b) 3 unit
c) v5 unit
d) 1 unit

52. Consider a circle with centre at O and radius r. Points A and B lie on its circumference and a point M lies outside of it such that M, A and O lie on the same straight line. Then, the ratio of MA to MB is:
a) equal to 1
b) equal to r
c) greater than 1
d) less than 1

53. The difference between a discount of 40% on Rs. 1000 and two successive discounts of 35% and 5% on the same amount is:
a) Rs. 15.50
b) Rs. 16.50
c) Rs. 17.50
d) Rs. 18.00

54. Adoes half as much work as B in one sixth of the time. If together they take 10 days to complete a work, how much time shall B take to do it alone?
a) 70 days
b) 30 days
c) 40 days
d) 50 days

55. 4 bells ring at intervals of 30 min, 1 h, 1½ h and 1 h 45 min, respectively. All the bells ring simultaneously at 12 noon. They will again ring simultaneously at:
a) 3 PM
b) 3 AM
c) 6 AM
d) 9 AM