[administration]

Q. A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder?

[Wonder Boy]

Sol1 . For this type of problem, we will not try to solve it with exact procedure.

Instead we will try to take some number which satisfies the first critrea and then try to fulfill 2nd critrea.

 

So here lets take a number which when divided by 296 gives 75 as remainder.

296 + 75 is the number say.

on dividing 296 + 75 by 37 gives 1 as remainder. so answer is 1 .

 

Sol. 2  Let the number be 296n +75 .

so (296n+75)/37 = 8 n + 2 +1/37

Hence remainder is 1.

[Author]

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