1.

A number when divided by 296 leaves 75 as remainder. If the same number is divided by 37, the remainder obtained is (a) 2 (b) 1 (c) 11 (d) 8

Answer»

(b) 1

Given number = 296n + 75 

= 37 × 8 × n + (37 × 2 + 1) 

= 37(8n + 2) + 1

\(\therefore\) Required remainder = 1



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