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How many numbers are there from 14 to 159 which are divisible by both 2 and 8?

How many numbers are there from 14 to 159 which are divisible by both 2 and 8? Correct Answer 18

The numbers which are divisible by 8 are also divisible by 2.

Therefore, the numbers divisible by 8 between 14 and 159: 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152 (18 numbers)

Alternate method∶

The first number divisible by 8 after 14 is 16 and the number which is divisible by 8 and smaller than 159 is 152.

Now, use arithmetic progression method

Last term = First term + (n - 1) × Difference

⇒ 152 = 16 + (n - 1) × 8

⇒ n = 18

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