Question

A number when divided by 17, leaves remainder 5. what remainder would be obtained by dividing the same number by 357 ? (a) 42 (b) 41 (c) 39 (d) 35

Answer 1

The remainder would be obtained by dividing the same number by 357, is 39. hence option (c) is correct.

A number when divided by 17, leaves remainder 5.

We have to find remainder If we divide the same number by 357.

Let the number be x.

It is said that x is divided by 17 and 5 is found as remainder.

According to Euclid division lemma, a = bq + r, where 0 ≤ r < b.

⇒x = 17q + 5.

Here, q is any positive integer.

If q = 1, then x = 22

After dividing by 357, we get 22 as remainder.

If q = 2 , then x = 39

If q = 2 , then x = 39 After dividing by 357, we get 39 as remainder.

So the correct option is (c) 39.

Therefore the number is divided by 357, remainder is 39.

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Answer 2

According the question, a number when divided by 17, leaves remainder 5. Here we have to find remainder If we divide the same number by 357.

Let's consider the number = P

In this sum,It is mentioned that P is divided by 17 and 5 is found as it's remainder.

We know from Euclid division lemma, a = bq + r, where 0 ≤ r < b.

                                        ⇒P = 17q + 5.                ( q is any positive integer.)

If  we consider q = 1,

then P = 22

After dividing by 357, we get 22 as remainder.

If q = 2 ,

then P = 39

If q = 2 ,

then P = 39 After dividing by 357,

Hence we get 39 as remainder.

∴ the correct option is (c) 39.

Ans :-  The correct option is (c) 39.

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