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

mathematics Mcqs

3001. A man can row 9 1/3 km/hr in still water and he finds that is thrice as much time to row u p than as to row down the same distance in river. The speed of the current is:________?
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A. 3 1/9 km/hr

B. 1 km/hr

C. 4 2/3 km/hr

D. 3 1/3 km/hr

3002. A boat covers a distance of 30 km in 2 hours running downstream while returning it covers the same distance in 3 hours. What is the speed of the boat in still water?
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A. None of these

B. 8km/hr

C. 15 km/hr

D. 14 km/hr

E. 12km/hr

3003. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
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A. Rs.30.25

B. Rs.29.25

C. Rs.35

D. Rs.32

3004. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days. In what time can A alone do it ?
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A. 120 days

B. 150 days

C. 80 days

D. 100 days

3005. A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
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A. 6 kmph

B. 7 kmph

C. 5 kmph

D. 8 kmph

3006. A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
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A. 10 kmph

B. 60 kmph

C. 5 kmph

D. 30 kmph

3007. A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
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A. 2 kmph

B. 4 kmph

C. 8 kmph

D. 10 kmph

3008. A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
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A. 30 hours

B. 30/13 hours

C. 27/2 hours

D. 20/6 hours

3009. The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
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A. 51

B. 32

C. 68

D. 46

3010. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is________?
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A. 3 : 1

B. 2:01

C. 3:02

D. 4:03

3011. A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The mans rate is________?
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A. 1 kmph

B. 3 kmph

C. 5 kmph

D. 8 kmph

3012. Find the average of the first 20 natural numbers?
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A. 10.5

B. 10

C. 11.5

D. 12

3013. Bilal can do a work in 15 days and Jalal in 12 days. If they work on it together for 4 days, the fraction of work that is left is________?
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A. 5-Mar

B. 7-Apr

C. 4-Jan

D. 2/5

3014. If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
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A. 8

B. 10

C. 12

D. 2

3015. The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
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A. 27 years

B. 7 years

C. 11 years

D. 18 years

3016. The average of first 10 odd numbers is_____________?
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A. 10

B. 17

C. 12

D. 11

3017. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is_________?
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A. 16 hours

B. 18 hours

C. 20 hours

D. 24 hours

3018. Aftab bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
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A. Rs.16

B. Rs.18

C. Rs.22

D. Rs.20

3019. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
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A. 125

B. 98

C. 170

D. 134

3020. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5km in stationery water?
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A. 1 hr 15 Min

B. 1 Hour

C. 1 Hr 30 Min

D. 40 Minutes

3021. The speed of a boat in still water is 2km/hr. If its speed upstream be 1km/hr then speed of the stream is________?
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A. 1.5km/hr

B. 3km/hr

C. none

D. 1km/hr

3022. The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
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A. 75

B. 50

C. None of these

D. 150

3023. The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
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A. 38 degrees

B. 34 degrees

C. 40 degrees

D. 36 degrees

3024. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is_____________?
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A. 11.5

B. 11.4

C. 11

D. 11.3

3025. In an exam, Amir scored 64 percent, Masood scored 36 percent and asif 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
0

A. 404

B. 324

C. 364

D. 384

3026. The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
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A. 86

B. 49

C. 58

D. None of these

3027. The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
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A. 33 years

B. 30 Years

C. 31 years

D. 26 years

3028. A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
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A. 72

B. 80

C. 60

D. 64

3029. A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is___________?
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A. 280

B. 276

C. 285

D. 250

3030. B can work 3 times faster than A. They work together on a task and complete it in a day. How long does it take for B alone to complete the task?
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A. 32 hours

B. 3 days

C. 48 hours

D. 4 days

3031. 2 men and 12 women can finish a job in 4 days. 4 men and 6 women can do the same job in 5 days. Find the time taken by 1 man and 1 woman to complete the job.
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A. 24 days

B. 25 days

C. 30 days

D. 20 days

3032. P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in________days
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A. 2

B. 3

C. 1

D. 4

3033. Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is___________?
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A. Rs.3

B. Rs.4.50

C. Rs.7.50

D. Rs.5.00

3034. The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?
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A. 123

B. 137

C. 121

D. 122

3035. A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?
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A. 50km/h

B. 45km/h

C. 36km/h

D. 48km/h

3036. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is___________?
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A. 54.6 approx.

B. 51.4 approx.

C. 50

D. 45

3037. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9km/hr and the speed of the current is 3km/hr, the distance A and B is:_______?
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A. 8 km

B. 4km

C. 6 km

D. 12 km

3038. 4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.
0

A. 10 days

B. 8 days

C. 15 days

D. 20 days

3039. The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
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A. 12

B. 8

C. 22

D. 24

3040. Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
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A. 1.5 years

B. 2 years

C. 2.5 years

D. 1 year

3041. A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in_______days.
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A. 6 4?11

B. 5 5?11

C. 6 5?11

D. 4 5?11

3042. 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in_______days.
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A. 4 days

B. 8 days

C. 2 days

D. 6 days

3043. The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
0

A. 15

B. 20

C. 35

D. 25

3044. A man spend Rs. 3300. This was 75% of his monthly income. His monthly income is__________?
0

A. 4400

B. 5400

C. 4000

D. 5000

3045. The average of first 10 natural numbers is____________?
0

A. 5.5

B. 6.5

C. 5

D. 6

3046. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
0

A. 47.5

B. 52.5

C. 50

D. 59

3047. The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
0

A. 14 kmph

B. 13 kmph

C. 15 kmph

D. 12 kmph

3048. A steamer goes downstream from one port to another in 4 hours, it covers the same distance upstream in 5 hours. If the speed of the stream is 2km/hr,the distance between the two parts is_______?
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A. 50km

B. 70km

C. 60km

D. 80 km

3049. If 6 men working together can complete 50 identical tasks in 4 hours then how many such identical tasks can be completed if 10 men are working together for 6 hours?
0

A. 60

B. 20

C. 25

D. 125

3050. The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
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A. 9

B. 8

C. 7

D. 6

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