Question

How many numbers in the range from 200 to 800 are divisible by 4, 8, and 16?

Q: Answer-How many numbers in the range from 200 to 800 are divisible by 4, 8, and 16?

ATQ If a number is a multiple of 4, 8, and 16, then the number is a multiple of the L.C.M of 4, 8, and 16. L.C.M of 4, 8, and 16 16 Smallest multiple of 16 between 200 and 800 208 Largest multiple of 16 between 200 and 800 784 Common difference 16 Let the required number of terms be n. So, 208 n - 1 16 784 Or, n - 1 784 - 208 16 36 So, n 36 1 37 So, there are 37 numbers between 200 and 800 which are multiples of 4, 8, and 16.