Question

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

• A. 74
• B. 94
• C. 184
• D. 364

Answer 1

The correct option is D

364

L.C.M of 6, 9, 15 and 18 = 180

For getting remainder 4, we need to add 4 to 180.
$\to$ 180 + 4 = 184.
But 184 is not divisible by 7.
The next multiple is 360.
Add 4 to 360.
360 + 4 = 364, which is divisible by 7.
Required number is 364.