When a number is successively divided by 3, 4 and 7 , the remaining obtained is 2,3 and 5, respectively, What will be the remainder when 42 divides the same number ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 29.
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 42 = 42 × 3 + 29
So, 29 will be the remainder