ctet sept16 Q59

0. If (132 - 52)3/2 = 63 x A, then the value of A is

  • Option : D
  • Explanation : (132 - 52)3/2 = 6x A
    ⇒ ⌈(13-5) (13+5)⌉3/2 = 6x A (since a2  - b2 = (a - b) (a + b))
    ⇒ (8 x 182)3/2 = 6x A
    ⇒ (2 x 2 x 2 x 2 x 3 x 30)3/2 =6x A
    ⇒ (2 x 2 x 3)3 = 63 x A
    ⇒ A = 123 / 6=(12/6)3
    ⇒ A = 23
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