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Home Aptitude Time and Work See What Others Are Saying!
  • Question
  • 50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ?


  • Options
  • A. 50 days
  • B. 48 days
  • C. 47.5 days
  • D. 49 days

  • Correct Answer
  • 50 days 

    Explanation

    50 men can build a tank in 40 days 

    Assume 1 man does 1 unit of work in 1 day

    Then the total work is 50×40 = 2000 units

     

    50 men work in the first 10 days and completes 50×10 = 500 units of work

    45 men work in the next 10 days and completes 45×10 = 450 units of work

    40 men work in the next 10 days and completes 40×10 = 400 units of work

    35 men work in the next 10 days and completes 35×10 = 350 units of work

    So far 500 + 450 + 400 + 350 = 1700 units of work is completed and

     

    Remaining work is 2000 - 1700 = 300 units

     

    30 men work in the next 10 days. In each day, they does 30 units of work.

     

    Therefore, additional days required = 300/30 =10

     

    Thus, total 10+10+10+10+10 = 50 days required.

  • Tags: GATE, CAT, Bank Exams, Bank PO, Bank Clerk

    More questions

    • 1. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

    • Options
    • A. 2 : 3
    • B. 1 : 1
    • C. 3 : 4
    • D. 4 : 3
    • Discuss
    • 2. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

    • Options
    • A. 65 sec
    • B. 89 sec
    • C. 100 sec
    • D. 150 sec
    • Discuss
    • 3. What was the day of the week on 17th June, 1998?

    • Options
    • A. Monday
    • B. Tuesday
    • C. Wednesday
    • D. Thursday
    • Discuss
    • 4. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

    • Options
    • A. 279
    • B. 283
    • C. 308
    • D. 318
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    • 5. 
      1872/ ? ? = 234

    • Options
    • A. 324
    • B. 64
    • C. 8
    • D. 256
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    • 6. 
      For every 4 leaps taken by a dog, a cat takes 5 leaps in the same time. But distance covered in 3 leaps of dog is same as that of 4 leaps of cat. Then what is the ratio of speed of dog and cat?

    • Options
    • A. 15 : 14
    • B. 16 :15
    • C. 12 :11
    • D. 10 : 9
    • Discuss
    • 7. 
      A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is?

    • Options
    • A. 34%
    • B. 46%
    • C. 54%
    • D. 66%
    • Discuss
    • 8. 
      1, 9, 25, 49, 81,?

    • Options
    • A. 90
    • B. 135
    • C. 121
    • D. 125
    • Discuss
    • 9. 
      An accurate clock shows the time as 3:00 after hour hand has moved 135°, the time would be?

    • Options
    • A. 7:30
    • B. 6:30
    • C. 8:00
    • D. 9:30
    • Discuss
    • 10. 
      P.V. Narsihma Rao was elected party leader on 29th may, 1991. What was the day of the week?

    • Options
    • A. Tuesday
    • B. Friday
    • C. Wednesday
    • D. Sunday
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