Correct Answer - Option 3 : 364
Given :
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15, and 18,
Calculation:
L.C.M. of 6, 9, 15 and 18 = 90
Let the required number be 90k + 4, which is a multiple of 7
The least value of k for which (90k + 4) is divisible by 7 is k = 4
Required number = (90 × 4) + 4
⇒ 364
∴ The required number is 364
