(5k + 1)2 leaves remainder ……….. on dividing by 5.

(5k + 1)2 = 25k2 + 10k + 1 = 5(5k2 + 2k) + 1(5k + 1)2 leaves remainder 1 when divided by 5

Q43 of 128 Page 25

(5k + 1)² leaves remainder ……….. on dividing by 5.

(5k + 1)² = 25k² + 10k + 1 = 5(5k² + 2k) + 1

(5k + 1)² leaves remainder 1 when divided by 5

2^m5ⁿ (m, n N) ends with ………..

represents

On division by 6, a² cannot leave remainder (a N)

Product of three consecutive integers is divisible by ………..