Question

Find the least number which when divided by 12, 18, 24 and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

• A. 366
• B. 634
• C. 384
• D. 364

Answer 1

Answer:

D. 364

The least number which is divisible by several numbers is the LCM of such numbers. The least number which is divisible by 12, 18, 24 and 30 = LCM of 12, 18, 24 and 30 = 360 least number which leaves remainder as 4 when divided by 12, 18, 24 and 30 = 360 + 4 = 364 364 is divisible by 7.