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How many natural numbers are there between 23 and 100 which are exactly divisible by 6?
Question

How many natural numbers are there between 23 and 100 which are exactly divisible by 6?


A.

8


B.

 11


C.

12


D.

13 

Correct option is D

Natural numbers between 23 and 100 that are divisible by 6:
First multiple of 6 after 23: 24
The last multiple of 6 before 100: 96
Sequence: 24,30,36,...,96
This forms an arithmetic progression (AP) with:

  • First term a = 24

  • Common difference d = 6

  • Last term l = 96

The number of terms n is given by:

         


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