Q : 14     How many multiples of \small 4 lie between \small 10  and \small 250?
 

Answers (1)

We know that the first number divisible by 4 between 10 to 250 is 12 and last  number divisible by 4 is 248
Therefore,
a = 12 , d = 4 \ and \ a_n = 248
Let there are n  numbers divisible by 4
Now, we know that
a_n = a+ (n-1)d
\Rightarrow 248 = 12 + (n-1)4
\Rightarrow 4n = 240
\Rightarrow n = \frac{240}{4} = 60
Therefore,  there are 60  numbers between 10 to 250 that are divisible by 4

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