Consider the numbers between 300 and 400 such that when each number is divided by 6,9 and 12, it leaves 4 as remainder in each case. What is the SUM of the numbers?
Solution
Numbers satisfying the condition that it leaves 4 as remainder when divided by 6 are 310,316,322,328,334,340,346,352,358,364,370,376,382,388,394
Numbers satisfying the condition that it leaves 4 as remainder when divided by 9 are 310,319,328,337,346,355,364,373,382,391
Numbers satisfying the condition that it leaves 4 as remainder when divided by 12 are 316,328,340,352,364,376,388
common numbers are 328,364 so sum = 692