Question 85

Between 50 and 150 how many numbers are divisible by 7?

Solution

Numbers which are divisible by 7 between 50 and 150 are : 56,63,70,........,147

These numbers form an arithmetic progression with first term, $$a$$ = 56 and last term, $$l$$ = 147

Common difference, d = 7

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

=> $$147 = 56 + (n - 1) \times 7$$

=> $$(n - 1) = \frac{(147 - 56)}{7} = 21 - 8 = 13$$

=> $$n = 13 + 1 = 14$$

=> Ans - (D)

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