Question

What least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ?
(A) 523
(B) 525
(C) 522
(D) 510
​

Answer 1

To Find :- The least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ?

Solution :-

We know that,

• Dividend = Divisor × Quotient + Remainder .

So, let dividend is 13294 and divisor is 97 .

→ 132 = 97 × 1 + 35

now, taking next number with remainder,

→ 359 = 97 × 3 + 68

again, taking next number with remainder,

→ 684 = 97 × 7 + 5

then,

→ 13294 = 97 × 137 + 5

therefore, we can conclude that, if we subtract the remainder 5 from 13294 , the number 13289 is exactly divisible by 97 .

Hence, required number is equal to 5 .

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