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Q.

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


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a

1

b

1 3  

c

2 3  

d

3 4   

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= 4 12  
⇒13 The required fraction = 1 3  .
Therefore, the correct option is (2).
 
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