. How many multiples of 4 lie between 10 and 250


A: 60

B: 70

C: 80

D: 90

Best Answer

Explanation

The multiple of 4 which comes just after 10 is 12 and the multiple of  which comes just before 250 is 248.

All the multiples of 4 betweenand 10 and 250 are 12,16,20,24.....248.

It is in Arithmetic Progression.

The first term a=12, the common difference d=4, and the last term an=248.

Find the number of terms  in the progression.

Use the general term formula of A.P.

an=a+(n-1)d

Proceed further using the formula.

248=12+(n-1)(4)

248-12=4(n-1)

236=4(n-1)

n=60

Final answer

Thus, there are 60 multiples of 4 lie between 10 and 250.

 

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