Question

a number when divided by 221 gives a remainder 43. what remainder will be obtained by dividing the same number by 17?​

Answer 1

Answer:

Let the number be x

According to Question,

x + 43 = 221

x = 221-43 = 178

When we divide 178/17

Then remainder will be 8

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Answer 2

If a number is divisible by x it is also divisible by factors of x

Let the number be 221+43=264

264÷221leaves remainder 43

264÷17 leaves remainder 9

Let us take anoter example

442+43= 484

484÷221 gives remainder 43

484÷ 17 gives remainder 9

Simply 17 is factor of 221

Then 43÷7 leaves remainder 9