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All Free Mathematics MCQs with Answers

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1,551 questions · page 60 of 78

1181. 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?

  • A. 10 days
  • B. 12 days
  • C. 8 days
  • D. 9 days

Explanation: C completes half the work in 6 days, so C's rate is 1/12 of the work per day; in 4 days C completes 4/12 = 1/3 of the work, leaving 2/3.

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Correct answer: 10 days

1182. P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?

  • A. Rs.40
  • B. Rs.70
  • C. Rs.90
  • D. Rs.100

Explanation: Let the daily earnings of P, Q and R be p, q and r rupees per day. From the data, p + q + r = Rs.1620 ÷ 9 days = Rs.180 per day, p + r =…

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Correct answer: Rs.70

1183. P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?

  • A. 5 days
  • B. 10 days
  • C. 15 days
  • D. 12 days

Explanation: P's rate is 1/20 of the work per day and Q's rate is 1/12 of the work per day.

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Correct answer: 10 days

1184. 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?

  • A. 8
  • B. 6
  • C. 4
  • D. 2

Explanation: Q completes 10 days x 1/15 of the work per day = 2/3 of the work, leaving 1/3.

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Correct answer: 6

1185. P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

  • A. 9(3/5) days
  • B. 9(1/5) days
  • C. 9(2/5) days
  • D. 10 days

Explanation: P, Q and R together work at 1/4 of the track per day, while P and Q together work at 1/16 + 1/12 = 7/48 of the track per day.

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Correct answer: 9(3/5) days

1186. wo pipes X and Y fill a tank in 15 hrs. and 20 hrs. respectively, while a third pipe 'Z' can empty the full tank in 25 hrs. All the three pipes are opened in the beginning. After 10 hrs. Z is closed. In how much time, will the tank be full ?

  • A. 12 hrs
  • B. 14 hrs
  • C. 16 hrs
  • D. 18 hrs

Explanation: The combined filling rate of X and Y is 1/15 + 1/20 = 7/60 of the tank per hour, and Z empties 1/25 of the tank per hour, giving an…

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Correct answer: 12 hrs

1187. 8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in:__________?

  • A. 12 days
  • B. 16 days
  • C. 18 days
  • D. 20 days

Explanation: If 1 man works 1.5 times as much as 1 boy, then 1 boy equals 2/3 of a man's daily work.

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Correct answer: 16 days

1188. Efficiency of Rashid and Danish are in the ratio 5:8. If Danish takes 51 days less than Rashid to complete the work, find the time taken by Rashid to complete the work.

  • A. 85 days
  • B. 126 days
  • C. 118 days
  • D. 136 days

Explanation: Efficiency and time are inversely proportional, so Rashid's and Danish's times are in the ratio 8:5 when their efficiencies are 5:8.

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Correct answer: 136 days

1189. If 12 men work 8 hours a day to complete a work in 10 days, how many men working 12 hours a day can complete the work in 5 days?

  • A. 16
  • B. 4
  • C. 12
  • D. 8

Explanation: The total work is 12 men x 8 hours per day x 10 days = 960 man-hours. At 12 hours per day for 5 days, each man supplies 60 hours, so the…

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Correct answer: 16

1190. If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.

  • A. 15
  • B. 14
  • C. 16
  • D. 13

Explanation: Forty women working for 30 days provide 40 x 30 = 1,200 woman-days, so a woman's wage is Rs.21,600 ÷ 1,200 woman-days = Rs.18 per day.

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Correct answer: 16

1191. 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?

  • A. 7 hour 15 minutes
  • B. 7 hour 30 minutes
  • C. 8 hour 15 minutes
  • D. 8 hour 30 minutes

Explanation: Mansoor types 32 pages ÷ 6 hours = 16/3 pages per hour, while Aaqib types 40 pages ÷ 5 hours = 8 pages per hour.

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Correct answer: 8 hour 15 minutes

1192. Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed?

  • A. 3 pm
  • B. 2 pm
  • C. 1:00 pm
  • D. 11 am

Explanation: In the first 2 hours, the three machines print 2 x (1/8 + 1/10 + 1/12) = 2 x 37/120 = 37/60 of the job.

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Correct answer: 1:00 pm

1193. 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?

  • A. 8/15
  • B. 7/15
  • C. 11/15
  • D. 2/11

Explanation: Their combined rate is 1/15 + 1/20 = 7/60 of the work per day. In 4 days they complete 4 x 7/60 = 7/15 of the work, so the fraction left…

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Correct answer: 8/15

1194. A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it ?

  • A. 40 days
  • B. 50 days
  • C. 60 days
  • D. 70 days

Explanation: A and B together complete 1/15 of the work per day, while B alone completes 1/20 per day.

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Correct answer: 60 days

1195. 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?

  • A. 50
  • B. 75
  • C. 60
  • D. 45

Explanation: Together they complete 20 days x 1/30 of the work per day = 2/3, leaving 1/3 for Kashif.

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Correct answer: 50

1196. Jameel can complete a task in 15 hours and Nasir can complete the same task in 12 hours. Jameel starts the task at 9:00 am and stops working at 2:00pm. Nasir starts working on the task at 4:00 pm. At what time is the task completed?

  • A. 12:00 pm
  • B. 2:00 am
  • C. 12:00 am
  • D. 10:00 pm

Explanation: Jameel works from 9:00 am to 2:00 pm, which is 5 hours, and completes 5 hours x 1/15 of the work per hour = 1/3 of the work.

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Correct answer: 12:00 am

1197. P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in_________days.

  • A. 10
  • B. 9
  • C. 11
  • D. 12

Explanation: Q and R together work at 1/9 + 1/12 = 7/36 of the task per day, so in 3 days they complete 3 x 7/36 = 7/12, leaving 5/12.

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Correct answer: 10

1198. Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in________days.

  • A. 14
  • B. 16
  • C. 15
  • D. 11

Explanation: Kamal's rate is 1/20 of the work per day. Suresh is 25% more efficient, so his rate is 1.25 x 1/20 = 1/16 work per day, meaning he needs…

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Correct answer: 16

1199. A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?

  • A. 37 ½ days
  • B. 22 days
  • C. 31 days
  • D. 22 days

Explanation: A completes 80% in 20 days, so A's rate is 0.8/20 = 0.04 = 1/25 work per day.

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Correct answer: 37 ½ days

1200. A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?

  • A. 75/8 days
  • B. 44/6 days
  • C. 48/5 days
  • D. None of these

Explanation: A's rate is (1/3) / 5 = 1/15 work per day, and B's rate is (2/5) / 10 = 1/25 work per day.

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Correct answer: 75/8 days
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