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Home Aptitude Time and Work See What Others Are Saying!
  • Question
  • A piece of work was to be completed in 40 days, a number of men employed upon it did only half the work in 24 days, 16 more men were then set on and the work was completed in the specified time, how many men were employed at first?


  • Options
  • A. 16 men
  • B. 32 men
  • C. 24 men
  • D. 48 men

  • Correct Answer
  • 32 men 

    Explanation

    Let N men were employed at first
    ? N men do 1/2 of the work in 24 days
    ? 1 man do the whole work in 24 x 2 x N = 48N days

    Now, from the question,
    (N + 16) men do the remaining work (1 - 1/2) = 1/2 in (40 - 24) = 16 days

    ? 1 man do the whole work in 16 x 2 x (N + 16) days
    ? 48N = 32(N + 16)
    ? N = 32 men


  • More questions

    • 1. 
      A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?

    • Options
    • A. $250, $100, $100
    • B. $225, $150, $75
    • C. $200, $150, $100
    • D. $175, $175, $100
    • Discuss
    • 2. 
      The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is :

    • Options
    • A. 50 ?3 m
    • B. 50 m ?3
    • C. 75 ?3 m
    • D. 75 m ?3
    • Discuss
    • 3. 
      If 30% of A = 20 % of B, then find the value of A : B?

    • Options
    • A. 1 : 3
    • B. 3 : 2
    • C. 3 : 1
    • D. 2 : 3
    • Discuss
    • 4. 80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

    • Options
    • A. 8
    • B. 9
    • C. 10
    • D. 12
    • Discuss
    • 5. 
      If log 5 (x 2 + x) - log 5 x = 2 then the value of x is?

    • Options
    • A. 24
    • B. 25
    • C. 23
    • D. 120
    • Discuss
    • 6. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

    • Options
    • A. 0
    • B. 1
    • C. 10
    • D. 19
    • Discuss
    • 7. 
      Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2 : 7. Find the ratio of time taken by A and B to reach From X to Y.

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 3 : 8
    • D. 7 : 2
    • Discuss
    • 8. 
      Walking with 3/4 of his usual speed, Sachin covers a certain distance in 2 h more than the time he takes to cover the distance at his usual speed. Find the time taken by him to cover this distance with usual speed.

    • Options
    • A. 5 h
    • B. 6 h
    • C. 9 h
    • D. 4 h
    • Discuss
    • 9. 
      If ? 2 n = 64, then the value of n is?

    • Options
    • A. 2
    • B. 4
    • C. 6
    • D. 12
    • Discuss
    • 10. 
      Ram and Sita are walking towards each other with the speed of 8 km/h and 2 km/h, respectively over a road 160 km long. How soon will they meet?

    • Options
    • A. 16 h
    • B. 8 h
    • C. 10 h
    • D. 20 h
    • Discuss


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