1.

If the value of [(127)3 + (173)3]/[(1.27)2 – 2.1971 + (1.73)2] is 30 × 10x, then find the value of ‘x’?1. 62. 53. 44. 8

Answer» Correct Answer - Option 2 : 5

Given:

[(127)3 + (173)3]/[(1.27)2 – 2.1971 + (1.73)2]

Concept:

Compare the given values with the formula of a3 + b3 and solve to get the desired answer.

Formula used:

a3 + b3 = (a + b)(a2 + b2 – ab)

⇒ (a3 + b3)/(a2 + b2 – ab) = a + b

Calculation:

∵ [(127)3 + (173)3]/[(1.27)2 – 2.1971 + (1.73)2]

⇒ {[(127)3 + (173)3]/[(127)2 – 21971 + (173)2]} × 10000

Now comparing the given values with the formula of a3 + b3:

⇒ {[(127)3 + (173)3]/[(127)2 – 21971 + (173)2]} × 10000 = (127 + 173) × 10000

⇒ 300 × 10000

⇒ 30 × 105

∴ x = 5


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