Question 87

Between 200 and 400 how many numbers are divisible by 7?

Solution

Numbers which are divisible by 7 between 200 and 400 are : 203,210,217,........,399

These numbers form an arithmetic progression with first term, $$a$$ = 203 and last term, $$l$$ = 399

Common difference, d = 7

Using, $$l = a + [(n - 1) \times d]$$

=> $$399 = 203 + (n - 1) \times 7$$

=> $$(n - 1) = \frac{(399 - 203)}{7} = \frac{196}{7} = 28$$

=> $$n = 28 + 1 = 29$$

=> Ans - (B)

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