What should come in place of question mark (?) in the following number series ?
`"286 , ? ,508 , 619 , 730 , 841"`

Options

A. 341
B. 403
C. 397
D. 387

Answer

To find the missing number in the series `286, ?, 508, 619, 730, 841`, we will analyze the differences between the consecutive numbers in the series.

1. **Identify the known numbers in the series**:
- The series is: `286, ?, 508, 619, 730, 841`.

2. **Calculate the differences between the known consecutive numbers**:
- From `508` to `619`:
\[ 619 - 508 = 111 \]
- From `619` to `730`:
\[ 730 - 619 = 111 \]
- From `730` to `841`:
\[ 841 - 730 = 111 \]

We can see that the difference between each pair of consecutive numbers from `508` onwards is `111`.

3. **Determine the missing number**:
- Since the difference between `508` and the number before it (which is the missing number) should also be `111`, we can set up the equation:
\[ ? = 508 - 111 \]
- Now, calculate:
\[ ? = 508 - 111 = 397 \]

4. **Verify the sequence**:
- Now, let's check if adding `111` to `397` gives us `508`:
\[ 397 + 111 = 508 \]
- This confirms that our calculation is correct.

Thus, the number that should come in place of the question mark (?) is **397**.