JEE MAIN - Mathematics (2021 - 27th August Evening Shift - No. 17)
3 $$\times$$ 722 + 2 $$\times$$ 1022 $$-$$ 44 when divided by 18 leaves the remainder __________.
Answer
15
Explanation
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
= $$-$$ 39 + 18 . I
= (54 $$-$$ 39) + 18(I $$-$$ 3)
= 15 + 18I1
$$\Rightarrow$$ Remainder = 15
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