Question

On dividing a number by 35, we get 29 as remainder. If the same number is divided by 7, then the remainder is

• A. 1
• B. 2
• C. 3
• D. 4

Hint:

When divisors are multiples, reduce the remainder using the smaller divisor.

Answer 1

The Correct Option is A

Concept: Use remainder properties. Explanation: Let number = $35k + 29$ Since $35 = 7 \times 5$, divide the remainder by 7: \[ 29 \div 7 = 4 \text{ remainder } 1 \] So remainder = 1.