Question

3 × 7²² + 2 × 10²² – 44 when divided by 18 leaves the remainder __________.

Answer 1

3(1 + 6)²² + 2×(1 + 9)²² – 44 = (3 + 2 – 44) = 18 .I

 = –39 + 18.I 

= (54 – 39) + 18(I – 3) 

= 15 + 18 I₁

⇒ Remainder = 15.