Maths questions series #6

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Very important Maths questions for SSC CGL-13 Series#6

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Continued from series #5
21. Successive discount of 10% , 20% and 50% will be equivalent to a single discount of-

a. 36%
b. 64%
c. 80%
d. 56%

22. A retailer offers the following discount schemes for buyers on an article-

I. Two successive discounts of 10%
II. A discount of 12% followed by a discount of 8%.
III. Successive discounts of 15% and 5%
IV. A discount of 20%

The selling price will be minimum under the scheme-

a. I
b. II
c. III
d. IV

23. Of three numbers, the second is thrice the first and the third number is three-fourth of the first. If the average of the three numbers is 114, the largest number is –

a. 72
b. 216
c. 354
d. 726

24. A car covers 1/5 of the distance from A to B at the speed of 8 km/hour, 1/10 of the distance at 25 km per hour and the remaining at the speed of 20 km per hour. Find the average speed of the whole journey-

a. 12.625 km/hr
b. 13.625 km/hr
c. 14.625 km/hr
d. 15.625 km/hr

25. The average of 3 numbers is 154. The first number is twice the second and the second number is twice the third. The first number is-

a. 264
b. 132
c. 88
d. 66

26. The average salary of all the staff in an office of a corporate house is Rs. 5,000. The average salary of the officers is Rs. 14,000 and that of the rest is Rs. 4,000. If the total number of staff is 500, the number of officers is –

a. 10
b. 15
c. 25
d. 50

27. The average marks of 40 students in an English exam are 72. Later it is found that three marks 64, 62 and 84 were wrongly entered as 60, 65 and 73. The average after mistakes were rectified is-

a. 70
b. 72
c. 71.9
d. 72.1

28. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7:2 and 7:11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be-

a. 5 : 7
b. 5 : 9
c. 7 : 5
d. 9 : 5

29. In a laboratory, two bottles contain mixture of acid and water in the ratio 2 : 5 in the first bottle and 7 : 3 in the second. The ratio in which the contents of these two bottles be mixed such that the new mixture has acid and water in the ratio 2 : 3 is-

a. 4 : 15
b. 9 : 8
c. 21 : 8
d. 1 : 2

30. A mixture contains 80% acid and rest water. Part of the mixture that should be removed and replaced by same amount of water to make the ratio of acid and water 4 : 3 is-

a. 1/3 rd
b. 3/7 th
c. 2/3 rd
d. 2/7 th

31. An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage bill was Rs. 189,900, find the ratio in which the wage bill is decreased-

a. 20 : 21
b. 21 : 20
c. 20 : 19
d. 19 : 21

32. The batting average for 40 innings of a cricketer is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is-

a. 165
b. 170
c. 172
d. 174

33. Walking at 3 km per hour, Pintu reaches his school 5 minutes late. If he walks at 4 km per hour he will be 5 minutes early. The distance of Pintu’s school from his house is-

a. 1 ½ Km
b. 2 Km
c. 2 ½ Km
d. 5 Km

34. Nitin bought some oranges at Rs. 40 a dozen and an equal number at Rs.30 a dozen. He sold them at Rs. 45 a dozen and made a profit of Rs.480. The number of oranges, he bought, was-

a. 48 dozen
b. 60 dozen
c. 72 dozen
d. 84 dozen

35. A man buys two chairs for a total cost of Rs.900. By selling one for 4/5 of its cost and the other for 5/4 of its cost, he makes a profit of Rs.90 on the whole tr

36. By selling 100 oranges, a vendor gains the selling price of 20 oranges. His gain per cent is-

a. 20
b. 25
c. 30
d. 32

37. 60% of the cost price of an article is equal to 50% of its selling price. Then the percentage of profit or loss on the cost price is-

a. 20% loss
b. 16 2/3% profit
c. 20% profit
d. 10% loss

38. Maninder bought two horses at Rs.40,000 each. He sold one horse at 15% gain, but had to sell the second horse at a loss. If he hand suffered a loss of Rs.3,600 on the whole tr

39. A fruit-seller buys x guavas for Rs.y and sells y guavas for Rs. x. If x>y, then he made-

a. x2 – y2 / xy % loss
b. x2 – y2 / xy % gain
c. x2 – y2 / y2 % loss
d. x2 – y2 / y2 * 100% gain

40. A jar contain 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?

a. 25
b. 30
c. 35
d. 40

41. If a number multiplied by 25% of itself gives a number which is 200% more than the number, then the number is –

a. 12
b. 16
c. 35
d. 24

42. The value of an article depreciates every year at the rate of 10% of its value. If the present value of the article is Rs.729, then its worth 3 years ago was-

a. Rs.1250
b. Rs.1000
c. Rs.1125
d. Rs.1200

43. The price of onions has been increased by 50%. In order to keep the expenditure on onions the same the percentage of reduction in consumption has to be-

a. 50%
b. 33 1/3%
c. 33%
d. 30%

44. A took two lo

45. If a regular polygon has each of its angles equal to 3/5 times of two right angles, then the number of side is-

a. 3
b. 5
c. 6
d. 8

46. A square is of area 200 sq. m. A new square is formed in such a way that the length of its diagonal is ?2 times of the diagonal of the given square. The the area of the new square formed is-

a. 200?2 sq.m
b. 400?2 sq.m
c. 400 sq.m
d. 800 sq.m

47. A motor-boat can travel at 10 km/hr in still water. It travelled 91 km downstream in a river and then returned to the same place, taking altogether 2 hours. Find the rate of flow of river-

a. 3 km/hr
b. 4 km/hr
c. 2 km/hr
d. 5 km/hr

48. A man driving at 3/4th of his original speed reaches his destination 20 minutes later than the usual time. Then the usual time is-

a. 45 minutes
b. 60 minutes
c. 75 minutes
d. 120 minutes

51. If a sum of money placed at compound interest, compounded annually, doubles itself in 5 years, then the same amount of money will be 8 times of itself in-

a. 25 years
b. 20 years
c. 15 years
d. 10 years

52. A person has left an amount of Rs.1,20,000 to be divided between his 2 son aged 14 years and 12 years such that they get equal amounts when each attains 18 years of age. If the amount gets a simple interest of 5% per annum, the younger son’s share at present is-

a. Rs.48,800
b. Rs.57,600
c. Rs.62,400
d. Rs.84,400

53. If the simple interest on Rs.x at a rate of a% for m years is same as that on Rs. y at a rate of a2% for m2 years, then x : y is equal to-

a. m : a
b. am : 1
c. 1/m : 1/a
d. 1/am : 1

54. Base of a right prism is an equilateral triangle of side 6 cm. If the volume of the prism is 108?3 cc, its height is-

a. 9 cm
b. 10 cm
c. 11 cm
d. 12 cm

55. If a + 1/a + 2 = 0, then the value of (a37 – 1/a100) is-

a. 0
b. -2
c. 1
d. 2

56. The value of k for which the graphs of (k-1) x+y-2 = 0 and (2-k) x -3y + 1 = 0 are parallel is-

a. ½
b. -1/2
c. 2
d. -2

57. If a2 + b2 + c2 = 2 (a-b-c) – 3, then the value of (a – b + c) is-

a. -1
b. 3
c. 1
d. -2

58. If x2 + 3x + 1 = 0, then the value of x3 + 1/x3 is-

a. -18
b. 18
c. 36
d. -36

59. If xa, xb, xc = 1, then the value of a3 + b3 + c3 is –

a. 9
b. abc
c. a + b + c
d. 3abc

60. Base of a right pyramid is a square, length of diagonal of the base is 24?2 m. If the volume of the pyramid is 1728 cu.m, its height is-

a. 7 m
b. 8 m
c. 9 m
d. 10 m

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