Ratio, Proportion

Ratio, Proportion

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Aptitude miscellaneous
  1. If p : q : r = 1 : 2 : 4, then √ 5p2 + q2 + r2 is equal to








  1. View Hint View Answer Discuss in Forum

    p
    		 =
    q
    		=
    r
    		 = k (let)
    124

    ⇒  p = k, q = 2k, r = 4k
    ∴  √ 5p2 + q2 + r2
    √ 5k2 + 4k2 + 16k2 = √ 25k2
    = 5k = 5p

    Correct Option: C

    p
    		 =
    q
    		=
    r
    		 = k (let)
    124

    ⇒  p = k, q = 2k, r = 4k
    ∴  √ 5p2 + q2 + r2
    √ 5k2 + 4k2 + 16k2 = √ 25k2
    = 5k = 5p

  1. The mean proportional between (3 + √2) and (12 − √32) is








  1. View Hint View Answer Discuss in Forum

    Mean proportional
    √(3 + √2)(12 − √32)
    √(3 + √2)4 (3 − √2)
    = 2√9 − 2
    = 2√7

    Correct Option: B

    Mean proportional
    √(3 + √2)(12 − √32)
    √(3 + √2)4 (3 − √2)
    = 2√9 − 2
    = 2√7

  1. If x : y = 2 : 3, then the value of
    3x + 2y
    		is equal to
    9x + 5y








  1. View Hint View Answer Discuss in Forum

    Given,  
    x
    		 =
    2
    		     ..... (i)
    y3

    Expression =
    3x + 2y
    9x + 5y

    = 3 ×
    2
    		 + 2 [from (i)]
    3
    9 ×
    2
    		 + 5
    3

    =
    2 + 2
    		 =
    4
    1111

    Correct Option: B

    Given,  
    x
    		 =
    2
    		     ..... (i)
    y3

    Expression =
    3x + 2y
    9x + 5y

    = 3 ×
    2
    		 + 2 [from (i)]
    3
    9 ×
    2
    		 + 5
    3

    =
    2 + 2
    		 =
    4
    1111

  1. If x : y = 2 : 3, then the value of
    3x + 2y
    		is equal to
    9x + 5y








  1. View Hint View Answer Discuss in Forum

    Given,  
    x
    		 =
    2
    		     ..... (i)
    y3

    Expression =
    3x + 2y
    9x + 5y

    = 3 ×
    2
    		 + 2 [from (i)]
    3
    9 ×
    2
    		 + 5
    3

    =
    2 + 2
    		 =
    4
    1111

    Correct Option: B

    Given,  
    x
    		 =
    2
    		     ..... (i)
    y3

    Expression =
    3x + 2y
    9x + 5y

    = 3 ×
    2
    		 + 2 [from (i)]
    3
    9 ×
    2
    		 + 5
    3

    =
    2 + 2
    		 =
    4
    1111

  1. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to








  1. View Hint View Answer Discuss in Forum

    We can write a : c by compounding a : b and b : c

    a
    		 =
    a
    		 ×
    b
    		 ,
    a
    		 =
    3
    		 ×
    8
    		 ,
    a
    		 =
    2
    cbcc49c3

    ⇒  a : c = 2 : 3
    Second Method :
    A : C = xp : yq
    = 3 × 8 : 4 × 9 = 2 : 3

    Correct Option: B

    We can write a : c by compounding a : b and b : c

    a
    		 =
    a
    		 ×
    b
    		 ,
    a
    		 =
    3
    		 ×
    8
    		 ,
    a
    		 =
    2
    cbcc49c3

    ⇒  a : c = 2 : 3
    Second Method :
    A : C = xp : yq
    = 3 × 8 : 4 × 9 = 2 : 3