What will come in place of question mark (?) in the following series questions?
250,375,591,?,1446,2175

Options

A. A)954
B. B)934
C. C)914
D. D)894

Answer

To solve the series question: 250, 375, 591, ?, 1446, 2175, we will look for a pattern in the differences between the consecutive terms.

### Step-by-Step Solution:

1. **Identify the Terms**:
- The terms in the series are:
- 1st term: 250
- 2nd term: 375
- 3rd term: 591
- 4th term: ?
- 5th term: 1446
- 6th term: 2175

2. **Calculate the Differences Between Consecutive Terms**:
- Difference between 2nd and 1st term:
\( 375 - 250 = 125 \)
- Difference between 3rd and 2nd term:
\( 591 - 375 = 216 \)
- Difference between 4th and 3rd term:
Let’s denote this difference as \( x \).
- Difference between 5th and 4th term:
\( 1446 - ? \)
- Difference between 6th and 5th term:
\( 2175 - 1446 = 729 \)

3. **List the Differences**:
- The differences we have calculated so far are:
- \( 125 \) (between 250 and 375)
- \( 216 \) (between 375 and 591)
- \( x \) (between 591 and ?)
- \( ? \) (between ? and 1446)
- \( 729 \) (between 1446 and 2175)

4. **Recognize the Pattern**:
- The differences \( 125, 216, \) and \( 729 \) are perfect cubes:
- \( 125 = 5^3 \)
- \( 216 = 6^3 \)
- \( 729 = 9^3 \)
- It seems we are missing \( 7^3 \) and \( 8^3 \) in the pattern.

5. **Calculate the Missing Difference**:
- The missing difference \( x \) should be \( 7^3 = 343 \).

6. **Find the Missing Term**:
- Now we can find the 4th term:
\( ? = 591 + 343 = 934 \)

7. **Verify with the Next Term**:
- The next difference should be \( 8^3 = 512 \):
\( 934 + 512 = 1446 \) (which matches the 5th term).

### Conclusion:
The missing term in the series is **934**.