Ratio, Proportion

  1. Total number of students in a class is 95. if the total number of girls in the class is 45, then the ratio of total number if boys to total number girls is
    1. 9:10
    2. 7:8
    3. 10:9
    4. 9:11
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    Let the total number of boys in the class be x.
    Then, according to the question,
    x + 45 = 95
    x = 95 - 45 = 50

    Correct Option: C

    Let the total number of boys in the class be x.
    Then, according to the question,
    x + 45 = 95
    x = 95 - 45 = 50

    Hence, the required ratio of total number of boys to total number of girls = B:G = 50:45 = 10:9

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  1. The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 490, Krishan has ?
    1. Rs. 2890
    2. Rs. 2330
    3. Rs. 1190
    4. Rs. 2680
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    Ram : Gopal = 7 : 17 = 49 : 119
    Gopal : Krishan = 7 : 17 = 119 : 289
    ∴ Ram : Gopal : Krishan = 49 : 119 : 289

    Correct Option: A

    Ram : Gopal = 7 : 17 = 49 : 119
    Gopal : Krishan = 7 : 17 = 119 : 289
    ∴ Ram : Gopal : Krishan = 49 : 119 : 289
    ⇒ Ram : Krishan = 49 : 289
    Thus, 49 : 289 = 490 : N
    &there N = 289 x 490 / 49
    = Rs. 2890

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  1. The prices of a scooter and a television set are in the ratio 3 : 2. If a scooter costs Rs. 6000 more than the television set, the price of the television set is ?
    1. Rs. 6000
    2. Rs. 10000
    3. Rs. 12000
    4. Rs. 18000
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    Let the price of a scooter be Rs. 3x and that of a television set Rs. 2x.
    Then, 3x - 2x = 6000

    Correct Option: C

    Let the price of a scooter be Rs. 3x and that of a television set Rs. 2x.
    Then, 3x - 2x = 6000
    ⇒ x = 6000

    ∴ Cost of a television set = 2x
    = Rs. 12000

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  1. If 8 : y = y : 18 , then y is equal to ?
    1. 144
    2. 72
    3. 26
    4. 12
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    ∵ 18 x 18 = y2
    ∴ y = √144 = 12

    Correct Option: D

    ∵ 18 x 18 = y2
    ∴ y = √144 = 12

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  1. A circle and a square have same area. Therefore, the ratio of the side of the square and the radius of the circle is ?
    1. π : 1
    2. 1 : √π
    3. 1 : π
    4. π : 1
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    Let the side of the square be 'a' and let the radius of the circle be 'r'
    Then, a2 = πr2
    ⇒ a2 / r2 = π
    ⇒ a / r = √π

    Correct Option: A

    Let the side of the square be 'a' and let the radius of the circle be 'r'
    Then, a2 = πr2
    ⇒ a2 / r2 = π
    ⇒ a / r = √π
    ∴ a : r = √π : 1

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