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

Step 1: Analyze the pattern of the given series.
The given series is: 1, 27, 125, ?, 729, 1331
Let's break it down:
- 1 is \( 1^3 \)
- 27 is \( 3^3 \)
- 125 is \( 5^3 \)
- ? is the next term in the sequence
- 729 is \( 9^3 \)
- 1331 is \( 11^3 \)

Step 2: Identify the pattern in the series.
The series consists of cubes of consecutive odd numbers:
- \( 1^3 \), \( 3^3 \), \( 5^3 \), ?, \( 9^3 \), \( 11^3 \)
The missing term should be \( 7^3 \), as the next odd number after 5 is 7.

Step 3: Calculate the missing term.
\( 7^3 = 7 \times 7 \times 7 = 343 \)

Step 4: Conclusion.
The missing term in the series is 343.

Final Answer:
The missing term in the series is 343.