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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. If sin ? + sin 5? = sin 3? and 0 < ? < (?/2), then what is the value of ? (in degrees)?

    • Options
    • A. 30
    • B. 45
    • C. 60
    • D. 75
    • Discuss
    • 2. If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?

    • Options
    • A. 9 : 4 : 25
    • B. 25 : 4 : 9
    • C. 64 : 25 : 49
    • D. 49 : 25 : 64
    • Discuss
    • 3. If a+b=2c then the value of aa-c+cb-c is equal to (where a?b?c )

    • Options
    • A. -1
    • B. 1
    • C. 0
    • D. 1/2
    • Discuss
    • 4. If x+1x=5, then the value of x1+x+x2 is

    • Options
    • A. 1/5
    • B. 1/6
    • C. 5
    • D. 6
    • Discuss
    • 5. If sin? + cos? = 1, then the sin? cos? is equal to

    • Options
    • A. 0
    • B. 1
    • C. 1/2
    • D. -1/2
    • Discuss
    • 6. If a2b+c=b2c+a=c2a+b=1 then the value of 21+a+21+b+21+c

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 7. If 2x+2x=3, then the value of x3+1x3+2 is

    • Options
    • A. 3/4
    • B. 4/5
    • C. 5/8
    • D. 7/8
    • Discuss
    • 8. In ?ABC if the median AD=1/2 BC, then ?BAC is

    • Options
    • A. 90°
    • B. 45°
    • C. 60°
    • D. 75°
    • Discuss
    • 9. If sin?+cos?sin?-cos?=3, then the value of sin4?-cos4? is

    • Options
    • A. 4/3
    • B. 3/4
    • C. 5/3
    • D. 3/5
    • Discuss
    • 10. If (x2/yz) + (y2/zx) + (z2/xy) = 3 , then what is the value of (x + y + z)3 ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss


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