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Home Aptitude Time and Work See What Others Are Saying!
  • Question
  • Working together P and Q can do a job is 6 days. Q and R can do the same job in 10 days while P and R can do it in 5 days. How long will it take, if all of them work together to complete the job?


  • Options
  • A. 42/7 days
  • B. 43/7 days
  • C. 44/7 days
  • D. 45/7 days

  • Correct Answer
  • 42/7 days 

    Explanation

    (P + Q)'S 1 day's work = 1/6
    (Q + R)'s 1 day's work = 1/10
    (P + R)'s 1 day's work = 1/5
    On adding, 2 (P + Q + R)'s 1 day's work = 1/6 + 1/10 + 1/5 = 7/15
    ( P + Q + R)'s 1 day's work = 7/30
    ? (P + Q + R)'s can do the entire work in = 30/7 = 42/7 days


  • More questions

    • 1. 
      ?. x 2 ? 6x = 7
      ?. 2y 2 + 13y + 15 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      If U = {a, b, c, d, e, f}, A = {a, b, c}, find (U ? A)?.

    • Options
    • A. U
    • B. A
    • C. ?
    • D. None of these
    • Discuss
    • 3. 
      Mukul's income is 10% more than Sunil's. How much less is Sunil's income than that of Mukul's?

    • Options
    • A. 8.09 %
    • B. 9.09 %
    • C. 7.09 %
    • D. 7.90 %
    • Discuss
    • 4. 3, 7, 15, 39, 63, 127, 255, 511

    • Options
    • A. 7
    • B. 15
    • C. 39
    • D. 63
    • E. 127
    • Discuss
    • 5. 19, 26, 33, 46, 59, 74, 91

    • Options
    • A. 26
    • B. 33
    • C. 46
    • D. 59
    • E. 74
    • Discuss
    • 6. If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:

    • Options
    • A. 2
    • B. 5
    • C. 6
    • D. 7
    • E. None of these
    • Discuss
    • 7. 6, 13, 18, 25, 30, 37, 40

    • Options
    • A. 25
    • B. 30
    • C. 37
    • D. 40
    • Discuss
    • 8. 
      The true discount on a certain bill due for nine months at 4 % simple interest is ?150. Find the amount of the bill.

    • Options
    • A. ?5150
    • B. ?5250
    • C. ?4750
    • D. ?5650
    • Discuss
    • 9. 
      The present worth of $ 220.50 due in 2 years reckoning compound interest at 5 % is :

    • Options
    • A. $ 200
    • B. $ 197.5
    • C. $ 202
    • D. $ 192.25
    • Discuss
    • 10. 
      The value of 12x2y4z3 ÷ (2xy2 × 3yz2) will be :

    • Options
    • A. 2xyz
    • B. xyz
    • C. 1 xyz
    • D. 2 xyz
    • Discuss


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