The number of multiples of $6$ lying between $25$ and $363$ is :

Question

Accepted Answer

Step 1: Multiples of $6$ between $25$ and $363$ form the A.P. :
$$30,\ 36,\ 42,\ \ldots,\ 360$$
Step 2: Here $a = 30$, $d = 6$, $a_n = 360$.
Step 3: $$360 = 30 + (n-1)6 \Rightarrow 330 = 6(n-1)$$
Step 4: $$n - 1 = 55 \Rightarrow n = 56$$

Correct option : (A)

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