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Home Aptitude Time and Work See What Others Are Saying!
  • Question
  • 12 men and 16 boys can do a piece of work in 5 days while 13 men and 24 boys finish it in 4 days. 5 men and 10 boys will finish it in?


  • Options
  • A. 10 days
  • B. 12 days
  • C. 9 days
  • D. 15 days

  • Correct Answer
  • 10 days 

    Explanation

    (12 men + 16 boys) can do a work in 5 days.
    (60 men + 80 boys) can do a work in 1 day.
    (13 men + 24 boys) can do a work in 4 days.
    (52 men + 96 boys) can do a work in 1 day.
    ? 60 men + 80 boys = 52 men + 96 boys
    8 men = 16 boys and 1 man = 2 boys
    Now, 12 men + 16 boys = (12 x 2 + 16) boys
    = 40 boys can do the work in 5 days
    ? 5 men + 10 boys = [5 x 2 + 10] boys
    = 20 boys will take
    = (40 x 5)/20 = 10 days


  • More questions

    • 1. 
      The length of each side of an equilateral triangle having an area of 4?3 cm 2 is?

    • Options
    • A. 4/?3 cm
    • B. ?3/4 cm
    • C. 3 cm
    • D. 4 cm
    • Discuss
    • 2. 
      A sum becomes two fold in 6 yr at a certain rate of interest. Find the time, in which the same mount will be 10 fold at the same rate of interest.

    • Options
    • A. 35 yr
    • B. 49 yr
    • C. 59 yr
    • D. 54 yr
    • Discuss
    • 3. 
      For a certain sum, the simple interest in 2 yr at 8% per annum is ? 110 more than the simple interest in 1 yr at the ratio of 5% per annum for the same sum. Find the sum.

    • Options
    • A. ? 5000
    • B. ? 1000
    • C. ? 1050
    • D. ? 950
    • Discuss
    • 4. 
      The positive number, when increased by 10 equals 200 times its reciprocal. What is the number?

    • Options
    • A. 100
    • B. 10
    • C. 20
    • D. 200
    • Discuss
    • 5. 
      In a certain time, a sum becomes 4 times at the rate of 5% per annum. At what rate of simple interest, the same sum becomes 8 times in the same duration?

    • Options
    • A. 122/3 %
    • B. 113/5 %
    • C. 112/3 %
    • D. 123/5 %
    • Discuss
    • 6. 
      Kriya deposits an amount of ? 65800 to obtain a simple interest at the rate of 14% per annum for 4 yr. What total amount will Kriya get at the end of 4 yr?

    • Options
    • A. ? 102648
    • B. ? 115246
    • C. ? 125578
    • D. ? 110324
    • Discuss
    • 7. 
      The cost of 5 pens and 8 pencils is ?31.What would be the cost of 15 pens and 24 pencils?

    • Options
    • A. ?93
    • B. ?99
    • C. ?96
    • D. Cannot be determined
    • Discuss
    • 8. 
      Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.

    • Options
    • A. 8?63 sq cm
    • B. 5?63 sq cm
    • C. 6?53 sq cm
    • D. 7?93 sq cm
    • Discuss
    • 9. 
      Two equal sums of money were lent at simple interest at 10% per annum for 4 yr and 5 yr, respectively. If the difference in interest for two period was ? 220, then each sum is?

    • Options
    • A. ? 880
    • B. ? 1100
    • C. ? 2200
    • D. ? 1640
    • Discuss
    • 10. 
      If the three-four of a number is subtracted from the number, the value so obtained is 163.What is the number?

    • Options
    • A. 625
    • B. 562
    • C. 632
    • D. 652
    • Discuss


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