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Question -

Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5. [CBSE 2014]



Answer -

Numbers divisible byboth 2 and 5 are 110, 120, 130, ………. , 990
Here a = 110, x = 120 – 110 = 10
an = 990
As a + (n – 1) d = 990
110 + (n – 1) (10) = 990
(n – 1) (10) = 990 – 110 = 880
n – 1 = 88
n = 88 + 1 = 89

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