Correct Answer - Option 2 : 900
Here, we have to fill the blank of the given series 10, 100, 20, 400, 30, (____), 40, 1600.
Calculation:
Here, we can see that the terms present at even place is the square of its previous term
Like 2nd term 100 which is square of 10 (1st term)
Like 4th term 400 which is square of 20 (3rd term)
Like 8th term 1600 which is square of 40 (7th term)
Similarly, 6th term will be the square of 30
6th term = (30)2 = 900
Hence, the required blank can be filled by 900.