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Home Aptitude Time and Work See What Others Are Saying!
  • Question
  • A and B can do a piece of work in 18 days. B and C in 24 days, C and A in 36 days. Find the time in which A, B and C working together can finish the work.


  • Options
  • A. 8
  • B. 16
  • C. 24
  • D. 36

  • Correct Answer
  • 16 

    Explanation

    (A+ B )' s 1 day ' s work = 1/18
    (B +C )'s 1 day ' s work = 1/24
    (C + A) 's 1 day 's work = 1/36
    From Eqs. (i), (ii) and (iii), we get
    2(A + B + C)' s 1 day 's work = 1/18 + 1/24 + 1/36
    (A + B + C)'s 1 day's work = (4 + 3 + 2)/(72 x 2)
    = 9/(72 x 2) = 1/16
    ? (A + B + C) can complete the work in 16 days


  • More questions

    • 1. 
      In, ?ABC, D and E are the mid-points of AB and AC respectively. Find the ratio of the areas of ?ADE and ?ABC.

    • Options
    • A. 1 2
    • B. 1 4
    • C. 3 4
    • D. 1 8
    • Discuss
    • 2. 
      22020 ÷ 0.011=?

    • Options
    • A. 20020
    • B. 2000000
    • C. 200200
    • D. 200002
    • Discuss
    • 3. 
      How many times are the hands of a clock is at right angle in a day?

    • Options
    • A. 22
    • B. 24
    • C. 44
    • D. 48
    • Discuss
    • 4. The unit digit in the product (784 x 618 x 917 x 463) is:

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss
    • 5. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:

    • Options
    • A. Rs. 768
    • B. Rs. 968
    • C. Rs. 1960
    • D. Rs. 2400
    • Discuss
    • 6. 
      ?. 8x 2 + 6x = 5
      ?. 12y 2 ? 22y + 8 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. 
      15, 31, 63, 127, 255, (...)?

    • Options
    • A. 513
    • B. 511
    • C. 517
    • D. 523
    • Discuss
    • 8. 
      Find the probability that a vowel selected at random from the 5 vowels is an 'i'.?

    • Options
    • A. 4/5
    • B. 1/3
    • C. 1/5
    • D. 1/2
    • Discuss
    • 9. 396, 462, 572, 427, 671, 264

    • Options
    • A. 396
    • B. 427
    • C. 671
    • D. 264
    • Discuss
    • 10. 
      If 90% of A = 30% of B and B = C% of A,then the value of C is?

    • Options
    • A. 900
    • B. 800
    • C. 600
    • D. 300
    • Discuss


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