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Question

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


A
60
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B
70
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C
80
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D
90
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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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