Before going to the example of prime series you must have knowledge about the prime number.

A prime number is a number greater than 1, whose only have two factors that are 1 and itself. Some Prime numbers example are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

1. 7,11,13,17,19,______

A)21

B)23

C)24

D)27

B)23

2. 4,6,9,14,21,______

A)32

B)24

C)26

D)23

A)32

3. 169,121,49,25,______

A)3

B)8

C)9

D)18

C)9

Answer: C)9

Here the numbers are squares of consecutive primes i.e. 13^{2},11^{2},7^{2},5^{2}___
the required term is 3^{2}=9

4. 8,27,125,343,______

A)512

B)729

C)1000

D)1331

Answer: D)1331

Here the numbers are cubes of consecutive primes i.e 2^{3},3^{3},5^{3},7^{3},___
the required term is 11^{3}=1331

5. 5,6,10,19,35,______

A)55

B)60

C)65

D)50

Answer: B)60

Here the difference between 5 and 6 is 1 i.e. 1^{2}
between 6 and 10 is 4 i.e. 2^{2}
So last one becomes 5^{2} So the final answer is 35+5^{2}=60