QJEEM21Maa13a: JEE Main 2021 Mathematics - Class 11 JEEM21Maa13a Solution: 3 7 22 + 2 10 22 44 when divided by 18 leaves the remainder…

Question

Verified Solution • 2025–26 Session moderate

3

\times

7²² + 2

\times

10²²

-

44 when divided by 18 leaves the remainder __________.

Accepted Answer

3(1 + 6)²² + 2 . (1 + 9)²²

-

44 = (3 + 2

-

44) = 18 . I

=

-

39 + 18 . I

= (54

-

39) + 18(I

-

3)

= 15 + 18I₁

\Rightarrow

Remainder = 15

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