Question

Which is the least number which when divided by 6, 15 and 18 leave remainder 5 in each case?

• A. 95
• B. 185
• C. 65
• D. 100

Answer 1

The correct option is A 95

The least number which is divisible by 6, 15 and 18 is the LCM of 6, 15 and 18.
$6=2\times 315=3\times 518=2\times 3\times 3$
LCM of $6,15and18=2\times 5\times 3\times 3=90$
Therefore,
The least number which when divided by 6, 15 and 18 leave remainder 5 in each case will be 90 + 5 = 95