When a number is successively divided by 3, 4, abd 7, the remainders obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 71.
Dividend = (Divisor x Quotient) + Remainder
Calculation:
Let x be the number
Let y and z be the quotients
Dividend = (Divisor x Quotient) + Remainder
⇒ z = 7 × 1 + 5 = 12
⇒ y = 4 × z + 3 = 51
⇒ x = 3xy + 2 = 155
On dividing 155 by 84 = 84 × 1 + 71
So,
The remainder will be 71