NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The number obtained after dividing the number formed by the last three digits of 17 256 by 100 is

Correct answer

6.81

Step-by-step solution

Last three digits of 17 256 = 289 128 = - 1 + 290 128 = 128 C 0 - 1 128 - 128 C 1 ⋅ 290 + 128 C 2 ⋅ 290 2 + . . . . . . . = 1 - 128 × 290 + 64 × 127 × 2 9 2 × 100 + . . . . . . . = 1 - . . . . . . 120 + . . . . . 800 + . . . . . . . = 681 Hence, 681 100 = 6.8 1

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