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Question

Q1. How many numbers between 11 and 90 are divisible by 7 ?

13

12

14

11

Accepted Answer

Answer : 11

The required numbers are 14, 21, 28, 35, .... 77, 84.
This is an A.P. with a = 14 and d = (21 - 14) = 7.

Let it contain n terms. Then, T_n = 84
⇒ a + (n - 1) d = 84
⇒ 14 + (n - 1) x 7 = 84
⇒ n = 11.

Hence, Required number of terms = 11.
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