How many natural numbers between 23 and 137 are divisible by 7?

How many natural numbers between 23 and 137 are divisible by 7?

Quiz

Answer/Solution

16

Steps/Work

Solution : These numbers are 28, 35, 42,…., 133.
This is in A.P. in which a= 28, d=(35-28)=7 and L=133.
Let the number of there terms be n. then, Tn=133
a+(n-1)d=133 by solving this we will get n=16.
Answer C

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