After the division of a number successively by 2, 3 and 5, the remainders are 1, 2 and 3, respectively. What will be the remainder, if 13 divides the same number (if the last quotient is 1)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1.
| 2 | X | 1 |
| 3 | Y | 2 |
| 5 | Z | 3 |
| 1 |
Dividend = Divisor × Quotient + Remainder
Z = (5 × 1) + 3 = 8
Y = (3 × Z) + 2 = (3 × 8) + 2 = 26
X = (2 × Y) + 1 = (2 × 26) + 1 = 53
Remainder of 53/13 = 1