Question

find a number between 800 and 900 which is divisible by 22 33 and 66

Answer 1

As the number 22=2×11, 33=3×11 and 66=2×3×11.For a number to be divisible by 22,33 and 66; it should be divisible by 2,3,11.Now, the numbers between 800 and 900 which are divisible by 11 are803,814,825,836,847,858,869,880,891.Out of these, the numbers which are divisible by 3, (sum of digits is multiple of 3) are825,858,891.Now, the numbers which are divisible by 2 end with an even number, the only numberamong these divisible by 2 is 858.Hence, the required number is 858