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Ratio & proportion Test 414
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Ratio & proportion Test 414

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  • Question 1/10
    1 / -0.25
    If P : Q = 1 : 3. Q : R = 3 : 4 and R : S = 2 : 1, then what is the value of P : S?

    Solutions

    =

    P:S = 1: 2

  • Question 2/10
    1 / -0.25
    The mean proportion between 7 and 112 is:
    Solutions

    We know,

    Mean proportion between a , b =

    Mean proportion between 7 and 112 =

    Hence, option B is the correct answer.

  • Question 3/10
    1 / -0.25
    The ratio of the third proportional to 16 & 40 and the mean proportional between 10 & 40 is:

    Solutions

    Third proportional =

    = =  = 100

    Mean proportion =

    =

    Required ratio = 100 : 20 = 5 : 1

    Hence, option A is the correct answer.

  • Question 4/10
    1 / -0.25
    The ratio of the numbers of boys and girls in a school is 5: 8. If there are 260 students in the school, then what is the difference between the numbers of girls and boys in the school?
    Solutions

    Let the number of boys and girls be 5x and 8x.

    According to the question,

    8x + 5x = 260

    Or, 13x = 260

    x = 260/13 = 20

    Difference between the numbers of girls and boys in the school = 8x – 5x = 3x

    = 3 × 20 = 60

  • Question 5/10
    1 / -0.25
    If 0.04: 0.06:: 0.06: A, then what is the value of A?
    Solutions

    0.04: 0.06:: 0.06: A

  • Question 6/10
    1 / -0.25
    A sum of money is distributed among A, B and C in the ratio 8 : 4 : 3. If A divides his part between D and E in the ratio 9 : 7, then what is the ratio of the share of C to that of D?

    Solutions

    Let the share of A, B and C be Rs. 8x, Rs. 4x and Rs. 5x respectively.

    Share of D =

    =

    Ratio of share of C and D = 3x : 4.5x = 2 : 3

  • Question 7/10
    1 / -0.25
    What is the fourth proportional to 7, 15 and 21?
    Solutions
     We know that,

    Fourth proportional to a, b and c is bc/a.

    ∴ Fourth proportional to 7, 15 and 21

    = [15 × 21]/7 = 45

    Hence, option D is the correct answer.

  • Question 8/10
    1 / -0.25
    In a municipal election three candidates, Santosh, Ravi, and Vipin, contested and the valid votes they got were in the ratio of 11 : 4 : 9. If the winner defeated his nearest rival by 8350 votes, then how many valid votes were polled in that election?

    Solutions

    Let the number of votes got by Santosh, Ravi and Vipin be 11x, 4x and 9x respectively.

    According to the question,

    11x – 9x = 8350

    Or, 2x = 8350

    x = 8350/2 = 4175

    Number of valid votes = 11x + 4x + 9x = 24x = 24 × 4175 = 100200

    "Hence, option D is the correct answer."

  • Question 9/10
    1 / -0.25
    Find the fourth proportional to the numbers 17, 272 and 19 .
    Solutions

    Fourth proportional =

    =  = 304

    "Hence, option B is the correct answer."

  • Question 10/10
    1 / -0.25
    What number must be subtracted from each of the numbers 55, 23, 43 and 19, so that the new values are in proportion?
    Solutions

    Let the required number be x

    According to the question,

    "Hence, option C is the correct answer."

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