Question

# How many multiples of $$4$$ lie between $$10$$ and $$250?$$

A
60
B
70
C
80
D
90

Solution

## The correct option is B $$60$$Clearly, the numbers between $$10$$ and $$250$$ which are multiple of $$4$$ are $$12,16,20,...,248$$. This is an AP with first term $$a=12$$, common difference $$d=4$$.Let there be $$n$$ terms in this AP, then$$a_n=248\Rightarrow a+(n-1)d=248$$$$\Rightarrow 12+(n-1)\times4=248$$$$\Rightarrow (n-1)=59$$$$\Rightarrow n=60$$Mathematics

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