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Q.

The sum of the first five prime numbers is:


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a

11

b

18

c

26

d

28 

answer is D.

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Detailed Solution

Concept- Prime numbers are the numbers which are divisible by only two numbers. First by 1 and the second number itself, which means they only have 2 factors. They are a whole number greater than 1.
1 is not considered as a prime number, as it has only 1 factor.
Prime number 1- 2 is a prime number, as it has only 2 factors, i.e., 1 and 2 itself.
Prime number 2 - 3 is a prime number, as it has only 2 factors, i.e., 1 and 3 itself.
4 is not a prime number, as it has 3 factors, i.e., 1, 2 and 4.
Prime number 3 - 5 is a prime number, as it has only 2 factors, i.e., 1 and 5 itself.
6 is not a prime number, as it has 4 factors, i.e., 1, 2, 3 and 6.
Prime number 4 - 7 is a prime number, as it has only 2 factors, i.e., 1 and 7 itself.
8 is not a prime number, as it has 4 factors, i.e., 1, 2, 4 and 8.
 9 is not a prime number, as it has 3 factors, i.e., 1, 3 and 9.
10 is not a prime number, as it has 4 factors, i.e., 1, 2, 5 and 10.
Prime number 5- 11 is a prime number, as it has only 2 factors, i.e., 1 and 11 itself.
Now, the sum of the first five prime numbers =2+3+5+7+11=28  
Hence, the correct answer is option 4.
 
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