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A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65 ?
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- 28
- 16
- 18
- 40
Correct Option: D
Let the least number be x.
y = 5 × 1 + 3 = 8
x = 13 × 8 + 1 = 105
On dividing 105 by 65,
⇒ 105 = ( 65 × 1 ) + 40
Hence required remainder = 40
