When 12, 15, 18, 20 and 25 divide the least number x, the remainder in each case was 5 but x was divisible by 7. What is the value of x?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3605.
LCM of 12, 15, 18, 20, 25 = 900
Required number = 900k + 5, and divisible by 7
k = 1, 2, 3, 4...
At k = 4, x = 900×4 + 5 = 3605, which is divisible by 7