basic maths mcqs to prepare for nts,kppsc,fpsc,ppsc and more | mcqpk.com

basic maths Mcqs

51. P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
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A. 9

B. 8

C. 7

D. 10

52. A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________?
0

A. 40 days

B. 20 days

C. 30 days

D. none of these

53. 25% of 30% of 45% is equal to__________?
0

A. 0.03375

B. 0.3375

C. 33.75

D. 3.375

54. A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?
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A. 60

B. 40

C. 70

D. 50

55. A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X
0

A. 10

B. 9

C. 12

D. 8

56. How much is 80% of 40 is greater than 4/5 of 25?
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A. 6

B. 9

C. 12

D. 4

57. P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
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A. 2

B. 6

C. 4

D. 8

58. Mansoor-Ul-Haque and Aaqib are working on a special assignment. Mansoor-Ul-Haque needs 6 hours to type 32 pages on a computer and Aaqib needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
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A. 8 hour 15 minutes

B. 7 hour 15 minutes

C. 8 hour 30 minutes

D. 7 hour 30 minutes

59. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
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A. 10 days

B. 8 days

C. 6 days

D. 12 days

60. Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.
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A. 4:3

B. 5:04

C. 5:03

D. 3:04

61. P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
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A. 8/15

B. 11-Feb

C. 15-Nov

D. 15-Jul

62. Farjan and Kashif can complete a task in 30 days. Farjan leaves after 20 days and Kashif alone completes it in another 25 days. How many days does Farjan alone take to complete the entire task?
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A. 50

B. 45

C. 60

D. 75

63. Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?
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A. Rs.1000

B. Rs.934

C. Rs.1104

D. Rs.1210

64. 15 men can build a 500m long wall in 30 days. In how many days can 30 men build a 1.2 km long wall?
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A. 24 days

B. 36 days

C. 48 days

D. 40 days

65. C takes 6 days to complete half of a work and D takes 5 days to complete 1/3rd of the same work. They take turns to complete the task. If C works for the first 4 days, in how many days will D complete the rest of the work without the help of C?
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A. 9 days

B. 8 days

C. 10 days

D. 12 days

66. A tank can be filled by a pipe in 20 min. and by another pipe in 60 min. Both the pipes are kept open for 10 min. and then the first pipe is shut off. After this, the tank will be completely filled in__________?
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A. 10 min

B. 30 min

C. 40 min

D. 20 min

67. A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in___________days if they work together.
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A. 18 days

B. 26 days

C. 24 days

D. 22 days

68. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman ?
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A. Data inadequate

B. 3:04

C. 5:03

D. 4 : 3

69. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?
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A. 54.68

B. None of these

C. 55

D. 53.33

70. The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places)?
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A. 179.38 cm

B. 179.29 cm

C. 178.29 cm

D. 178.39 cm

71. A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
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A. 12 kmph

B. None of these

C. 10 kmph

D. 12.5 kmph

E. 15 kmph

72. The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
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A. Rs. 22

B. Rs. 15

C. Rs. 18

D. Rs. 25

73. A,B,C, can do a work in 8,14,16 days respectively. A does the work for the first 2 days. B continues from it and finishes 2/3rd of the remaining work. C finishes the remaining work. How many days would have taken to complete the work?
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A. 11

B. 15

C. 13

D. 12

74. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
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A. 6.5

B. 6.75

C. 6.25

D. 7

75. A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is__________?
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A. Rs.23

B. Rs.21

C. Rs.22

D. Rs.20

76. The average of first ten prime numbers which are odd is____________?
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A. 13.8

B. 12.9

C. 17

D. 15.8

77. If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph. then the mans rate along the current is__________?
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A. 8.5 kmph

B. 4.25 kmph

C. 6.5 kmph

D. 6 kmph

78. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is___________?
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A. 26 kg

B. 31 kg

C. 17 kg

D. 20 kg

79. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every Third day ?
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A. 15 days

B. 12 days

C. 16 days

D. 18 days

80. A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
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A. None of these

B. 32 1/7 years

C. 28 4/7 years

D. 31 5/7 years

81. A cistern has two taps which fill it in 12 min. and 15 min.respectively There is one outlet pipe in the cistern. When all the taps & pipe are opened, the empty cistern is full in 20 min. How long will the waste pipe (outlet) take to empty the full cistern ?
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A. 10 min

B. 40 min

C. 30 min

D. 20 min

82. The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them.
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A. 59.1

B. 57.4

C. 57.5

D. 58.9

83. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is___________?
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A. 1:02

B. 2:3

C. 3:04

D. 3:05

84. A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
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A. 7070

B. 5550

C. 4440

D. 6060

85. A and B can do a work in 8 days, 13, and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in_________?
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A. 6 days

B. 12 days

C. 8 days

D. 4 days

86. A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is_________?
0

A. 7.5

B. 2.25

C. 1.5

D. 3

87. A can do a certain work-in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in_________?
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A. 25 days

B. 20 days

C. 30 days

D. 15 days

88. A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?
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A. Rs. 19000

B. Rs. 21000

C. Rs. 17500

D. Rs. 24500

89. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is___________?
0

A. 35.2

B. 36.1

C. 36.5

D. 39.1

90. To fill a cistern, pipes P, Q & R take 20, 15 & 12 minutes respectively. The time in minutes that the three pipes together will take to fill the cistern is:__________?
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A. 15 min

B. 5 min

C. 20 min

D. 10 min

91. The average of first five prime numbers greater than 20 is____________?
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A. 32

B. 31

C. 32.2

D. 31.01

92. The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest).
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A. 14 years

B. 16 years

C. 18 years

D. 20 years

93. The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is_________?
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A. 8.5 kmph

B. 6 kmph

C. 7 kmph

D. 8 kmph

94. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
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A. 0

B. 1

C. 19

D. 10

95. The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
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A. 21 kmph

B. 12 kmph

C. 10 kmph

D. 8 kmph

96. The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
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A. 6

B. 2

C. 8

D. 5

97. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last ?
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A. 15 days

B. 20 days

C. 6 days

D. 10 days

98. The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
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A. 50, 55 kmph

B. 40, 60 kmph

C. 80, 40 kmph

D. 35, 25 kmph

99. The average of first five multiples of 3 is____________?
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A. 15

B. 3

C. 12

D. 9

100. A can do piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?
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A. 45 days

B. 50 days

C. 70 days

D. 120/7 days

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