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Formula for Sum of n Terms of an AP

The number of...

Question

The number of numbers lying between 0 and 300 that are divisible by 6 but not by 18 is

A

49

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B

43

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C

33

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D

39

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Solution

The correct option is C 33
No.s divisible by $6 ⟹ 6, 12, 18, . . . . ., 294$
No.s divisible by $18 ⟹ 18, 36, . . . . ., 288$
$N$ for $6 ⟹ 294 = 6 + (n - 1) 6 ⟹ n = 49$
$N$ for $18 ⟹ 288 = 18 + (n - 1) 18 ⟹ n = 16$
so, total $N = N$ for $6 - N$ for $18 = 49 - 16 = 33$

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