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Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:


  • Options
  • A. 1 : 3
  • B. 3 : 2
  • C. 3 : 4
  • D. None of these

  • Correct Answer
  • 3 : 2 

    Explanation
    Let the speeds of the two trains be x m/sec and y m/sec respectively.

    Then, length of the first train = 27x metres,

    and length of the second train = 17y metres.

    27x + 17y = 23
    x+ y

    ⟹ 27x + 17y = 23x + 23y

    ⟹ 4x = 6y

    x = 3 .
    y 2

  • More questions

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      Five coins are tossed at a time. Then, the probability of obtaining at least one tail is

    • Options
    • A. 31/32
    • B. 1/32
    • C. 1/5
    • D. 5/32
    • Discuss
    • 2. 
      Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long

    • Options
    • A. 174
    • B. 176
    • C. 180
    • D. 178
    • Discuss
    • 3. 
      1307 x 1307 =?

    • Options
    • A. 1601249
    • B. 1607249
    • C. 1701249
    • D. 1708249
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    • 4. 
      The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii?

    • Options
    • A. 5 meter
    • B. 7 meter
    • C. 8 meter
    • D. 44 meter
    • Discuss
    • 5. 
      (1/2 ÷ 4 + 20) / (1/2 x 4 + 20) =?

    • Options
    • A. 81 / 88
    • B. 23/11
    • C. 161 / 176
    • D. 1
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    • 6. 
      Find the cardinal number of the following set {x: x = 2n, n ? N, 4 ? x ? 11}

    • Options
    • A. 8
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    • 7. 
      If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/ 27. Find the fraction.

    • Options
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    • B. 11/3
    • C. 22/3
    • D. 32/3
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    • 8. 
      (0.04) 3 =?

    • Options
    • A. 0.064
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    • C. 0.00064
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    • Discuss
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      If a + b + c = 8, then the value of (a ? 4)3 + (b ? 3)3 + (c ? 1)3 ? 3 (a ? 4) (b ? 3) (c ? 1) is

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    • 10. 
      3571 +? - 6086 = 155

    • Options
    • A. 2400
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    • D. None of these
    • Discuss


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