Races and games


  1. In a game of 80 points, A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60?
    1. 12
    2. 10
    3. 8
    4. 6

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    In a Game of 80 points,
    A scores 80 points , B scores 75 points and C scores 65 points.
    ∵ B scores 75 points while A 80
    ∴ B scores 60 points while A = 80 x 60 / 75 = 64

    Correct Option: C

    ∵ B scores 75 points while A 80
    ∴ B scores 60 points while A = 80 x 60 / 75 = 64
    Again, A scores 80 points while C = 65
    ∴ A scores 64 points while C = 65 x 64 / 80 = 52 points
    Hence, in a game of 60, B can give C (60 – 52) = 8 points


  1. Two men A and B run a 500 m race, A having 140 m start, their speeds are as 3 : 4. Then, A wins by :
    1. 10 m
    2. 20 m
    3. 40 m
    4. 60 m

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    Here, A will have to cover a distance of (500 – 140) = 360 meters to reach the winning point while B 500 meters . A covers 3 while B covers 4.

    Correct Option: B

    Here, A will have to cover a distance of (500 – 140) = 360 meters to reach the winning point while B 500 meters . A covers 3 while B covers 4.
    ∴ A covers 360 m while B covers 4 x 360/ 3 = 480 m
    Hence, B will be (500 – 480) = 20 m behind the winning post.
    ∴ A wins by 20 m.



  1. In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many meters will A beat C in a race of 400 m?
    1. 364 m
    2. 254 m
    3. 324 m
    4. 354 m

  1. View Hint View Answer Discuss in Forum

    Clearly, if A runs 600 meters, B runs = 540 m.

    Correct Option: C

    Clearly, if A runs 600 meters, B runs = 540 m.
    ∴ If A runs 400 m, B runs = 540 x 400 / 600 = 540 x 4 / 6 = 90 x 4 = 360 m
    Again, when B runs 500 m, C runs = 450 m
    ∴ When B runs 360 m, C runs = 450 x 360 / 500 = 45 x 36 / 5 = 9 x 36 = 324 m.
    ∴ A beats C by 400 - 324 = 76 m.


  1. In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many meter will A beat C in a race of 400 m?
    1. 78 m
    2. 56 m
    3. 76 m
    4. 86 m

  1. View Hint View Answer Discuss in Forum

    If A runs 600 m, B runs 600 - 60 or, 540 m.
    If A runs 400 m, B runs = 540 x 400 / 600 = 360 m.
    Now, when B runs 500 m, C runs 500 - 50 = 450 m.

    Correct Option: C

    If A runs 600 m, B runs 600 - 60 or, 540 m.
    If A runs 400 m, B runs = 540 x 400 / 600 = 360 m.
    Now, when B runs 500 m, C runs 500 - 50 = 450 m.
    ∴ When B runs 360 m, C runs = 450 * 360 / 500 = 324 m
    ∴ A beats C by 400 - 324 = 76 m.



  1. In a game A can give B 25 points in 75 and C 18 points in 90. How many points can C give B in a game of 120?
    1. 20
    2. 30
    3. 40
    4. 50

  1. View Hint View Answer Discuss in Forum

    When A scores 75 points, B scores 50 points.
    When A scores 90 points, C scores (90 - 18) = 72 points.
    ∴ When A scores 75 points, C scores = 72 × 75 / 90 = 60 points.

    Correct Option: A

    When A scores 75 points, B scores 50 points.
    When A scores 90 points, C scores (90 - 18) = 72 points.
    ∴ When A scores 75 points, C scores = 72 × 75 / 90 = 60 points.
    A : B : C = 75 : 50 : 60
    C : B = 60 / 50 = 120 / 100
    So, in a game of 120, C can give B
    (120 - 100) = 20 points.