Question

In each of the following questions a number series is given with one missing (?) term. The term is given as one of the alternatives among the five numbers given in the answer choic Find the term.
81, 9, 64, 8, 49,?

• A. 10
• B. 7
• C. 5
• D. 4
• E. 36

Answer 1

The Correct Option is B

The correct answer is option (B):

7

The number series provided is: 81, 9, 64, 8, 49, ?

Let's break down the pattern:

We can observe two alternating sequences:

* **Sequence 1 (Odd positions):** 81, 64, 49... These are perfect squares in descending order: 9 squared (81), 8 squared (64), and 7 squared (49).
* **Sequence 2 (Even positions):** 9, 8... These are integers in descending order: 9, 8.

Therefore, the missing term is part of the first sequence. Following the pattern of perfect squares in descending order, the next term should be the square of 7 (7x7), and the term after that in the sequence would be a 6.

So the missing term is 7.