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.
1, 27, 125, ? , 729, 1331

• A. 241
• B. 343
• C. 289
• D. 641
• E. 214

Answer 1

The Correct Option is B

The correct answer is option (B):

343

The correct answer is 343. This question presents a number series that follows a specific pattern based on cubes of consecutive odd numbers.

The series is: 1, 27, 125, ?, 729, 1331.

Let's break down the pattern:

* 1 = 1^3 (1 cubed)
* 27 = 3^3 (3 cubed)
* 125 = 5^3 (5 cubed)
* ? = We need to find the next cube in the sequence.
* 729 = 9^3 (9 cubed)
* 1331 = 11^3 (11 cubed)

The base numbers being cubed are consecutive odd numbers: 1, 3, 5, ?, 9, 11. The missing number in this sequence of base numbers is 7.

Therefore, the missing term in the number series is 7^3, which equals 343.