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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

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
an=248
a+(n1)d=248
12+(n1)×4=248
(n1)×4=24812
(n1)×4=236
(n1)=59
n=60
Hence, 60 multiples of 4 lie between 10 and 250.

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