A number when divided by 95 leaves a remainder 43. If the same number is divided by 19, then the remainder will be:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5
Since 19 divides 95 (\(95=19\times5\)), every multiple of 95 is also a multiple of 19. So the remainder on dividing by 19 comes only from the remainder 43.
The number \(=95k+43\) for some whole number \(k\)
\(95k\) leaves remainder 0 on division by 19
\(43=19\times2+5\), so the remainder is 5