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  • Question
  • At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?


  • Options
  • A. 30 points
  • B. 20 points
  • C. 10 points
  • D. 12 points

  • Correct Answer
  • 10 points 

    Explanation
    A : B = 60 : 45.

    A : C = 60 : 40.

    B = B x A = 45 x 60 = 45 = 90 = 90 : 80.
    C A C 60 40 40 80

    ∴ B can give C 10 points in a game of 90.


    Races and Games problems


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    • 1. A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

    • Options
    • A. 5.15 kmph
    • B. 4.14 kmph
    • C. 4.25 kmph
    • D. 4.4 kmph
    • Discuss
    • 2. In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

    • Options
    • A. 60 m
    • B. 40 m
    • C. 20 m
    • D. 10 m
    • Discuss
    • 3. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

    • Options
    • A. 21 m
    • B. 26 m
    • C. 28 m
    • D. 29 m
    • Discuss
    • 4. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

    • Options
    • A. 22.75 m
    • B. 25 m
    • C. 19.5 m
    • D.
      7 4 m
      7
    • Discuss
    • 5. A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

    • Options
    • A. 100 m
    • B.
      111 1 m
      9
    • C. 25 m
    • D. 50 m
    • Discuss
    • 6. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

    • Options
    • A. 5.4 m
    • B. 4.5 m
    • C. 5 m
    • D. 6 m
    • Discuss
    • 7. A runs 1⅔ times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

    • Options
    • A. 200 m
    • B. 300 m
    • C. 270 m
    • D. 160 m
    • Discuss
    • 8. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:

    • Options
    • A. 8 points
    • B. 10 points
    • C. 14 points
    • D. 40 points
    • Discuss
    • 9. In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

    • Options
    • A. 20 m
    • B. 25 m
    • C. 22.5 m
    • D. 9 m
    • Discuss
    • 10. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

    • Options
    • A.
      1
      22
    • B.
      3
      22
    • C.
      2
      91
    • D.
      2
      77
    • Discuss


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