Simplification

Simplification

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Simplification
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Aptitude miscellaneous
  1. (71 × 29 + 27 × 15 + 8 × 4 ) equals








  1. View Hint View Answer Discuss in Forum

    Expression
    = 71 × 29 + 27 × 15 + 8 × 4
    = 2059 + 405 + 32 = 2496

    Correct Option: C

    Expression
    = 71 × 29 + 27 × 15 + 8 × 4
    = 2059 + 405 + 32 = 2496

  1. The value of (0.98)3 + (0.02)3 + 3 × 0.98 × 0.02 –1 is :








  1. View Hint View Answer Discuss in Forum

    Expression
    = (0.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1
    = (0.98)3 + (0.02)3 + 3 × 0.98 × 0.02 (0.98+0.02) –1
    = (0.98 + 0.02)3 – 1 = 1–1 = 0

    Correct Option: D

    Expression
    = (0.98)3 + (0.02)3 + 3 × 0.98 × 0.02 – 1
    = (0.98)3 + (0.02)3 + 3 × 0.98 × 0.02 (0.98+0.02) –1
    = (0.98 + 0.02)3 – 1 = 1–1 = 0

  1. 3.25 × 3.20 − 3.20 × 3.05
    		 is equal to :
    0.064








  1. View Hint View Answer Discuss in Forum

    Expression =
    3.20(3.25 − 3.05)
    0.064

    =
    3.20 × 0.20
    		 = 10
    0.064

    Correct Option: D

    Expression =
    3.20(3.25 − 3.05)
    0.064

    =
    3.20 × 0.20
    		 = 10
    0.064

  1. If * represents a number, then the value of * in 5
    3
    		 × 3
    1
    		 = 19 is :
    *2








  1. View Hint View Answer Discuss in Forum

    5
    3
    		 ×
    7
    		 = 19
    *2

    ⇒  5
    3
    		 =
    19 × 2
    *7

    ⇒  5
    3
    		 =
    38
    		 = 5
    3
    *77

    ⇒  * = 7

    Correct Option: A

    5
    3
    		 ×
    7
    		 = 19
    *2

    ⇒  5
    3
    		 =
    19 × 2
    *7

    ⇒  5
    3
    		 =
    38
    		 = 5
    3
    *77

    ⇒  * = 7

  1. The value of
    0.1 × 0.1 × 0.1 + 0.2 × 0.2 × 0.2
    		 is :
    0.2 × 0.2 × 0.2 + 0.4 × 0.4 × 0.4








  1. View Hint View Answer Discuss in Forum

    Let 0.1 = a ⇒ 0.2 = 2a
    and 0.02 = b ⇒ 0.04 = 2b

    ∴  Expression =
    a3 + b3
    8a3 + 8b3

    =
    a3 + b3
    		 =
    1
    		 = 0.125
    8(a3 + b3)8

    Correct Option: B

    Let 0.1 = a ⇒ 0.2 = 2a
    and 0.02 = b ⇒ 0.04 = 2b

    ∴  Expression =
    a3 + b3
    8a3 + 8b3

    =
    a3 + b3
    		 =
    1
    		 = 0.125
    8(a3 + b3)8