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Q.

What fraction of natural numbers from 102 to 113 are prime numbers?

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a

1

b

13

c

23

d

34

answer is B.

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Detailed Solution

Given prime numbers between 102 and 113.
Then,
Natural numbers from 102 to 113 are,
102,103,104,105,106,107,108,109,110,111,112,113.
Prime numbers from 102 to 113 are,
103,107,109,113.
So, a fraction of natural numbers that are prime numbers is the number of prime numbers divided by the total number of natural numbers presented.

fraction = number of prime numbers total number of natural numbers given

Here,
Number of prime numbers = 4.
Total number of natural numbers given = 12.
Therefore,

fraction = 412

\Rightarrow \frac{1}{3}

The required fraction

= 13

.
Therefore, the correct option is (2).

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What fraction of natural numbers from 102 to 113 are prime numbers?