3x7 22 +2x10 22 -44when divided by 18 leaves the remainder.

Maths Logarithms, Indices and Surds, Partial Fraction JEE Mains 2021 Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Text Solution

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The correct answer is:

(15)

3(1 + 6) 22 + 2 ⋅ (1 + 9) 22 − 44 = (3 + 2 − 44) = 18. I

= − 39 + 18. I

= (54 − 39) + 18(I − 3)

= 15 + 18I 1

⇒ Remainder = 15.

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