Question

How many multiples of 4 lie between 10 and 122 ? (A) 25 (B) 28 (C) 30 (D) 32​

Answer 1

Answer:

There are 25 multiples of 4 lie between 10 and 122....

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Answer 2

Given:

Number should lie between 10 and 122

To Find:

Multiples of 4 lie between 10 and 122?

Step-by-step explanation:

• List of multiples of 4 lie between 10 and 122 is

 12,16,,,,,120

• We can see it is an  with

 First term,a= 12

 Common difference,d= 4

 nth term = 120

    n=?

    $\bf a_n=120\\a_n=a+(n-1)d$

• Put the values in above equation

$\Rightarrow \bf 120=12+(n-1)4\\\Rightarrow 120=12+4n-4\\\Rightarrow 112=4n\\\Rightarrow n=28$

Hence there are total 28 terms lie between 10 and 122.