Which of the following terms will replace the question mark (?) and complete the given alpha-numeric series?
I2, J3, L7, O16, S32,?

Correct option is A

Given :

Series =  I 2 , J 3 , L 7 , O 16 , S 32 , ? 

Logic: The alphabet progresses by increasing steps between successive letters: (+1,+2, +3,+4, +5), 

Numbers increase by consecutive perfect squares( $$1^2$$, $$2^2$$, $$3^2$$, $$4^2$$ , $$5^2$$) ​

Sequence : I , J , L , O , S 

I +1 =J, J+2=L, L+3=O, O+4=S, S+5= X 

Numeric Pattern

Sequence : $2,3,7,16,32$

Difference of two constitutive number is increasing from 1,4,9,16

3-2= 1

7-3= 4

16-7= 9

32-16 = 16 

Differences:1,4,9,16 form a pattern of perfect squares $$(1^2, 2^2,3^2,4^2)$$
​The next difference will be $$5^2$$ = 25

32+25 = 57

The next term is X57

Thus, correct answer is (a) X57

Differences : 

 form a pattern of perfect squareNext difference :