In each of the following question a number series is a given. After the series, a number is given followed by (a),(b),(c),(d) and (e). You have to complete the series starting with the number given following the sequence of the given series. Then answer the given questions.
80 50 130 100 180 150 230
900 (a) (b) (c) (d) (e)
Which of the following number will come in place of (e)?

Options

A. 1050
B. 970
C. 100
D. 950

Answer

To solve the problem, we need to identify the pattern in the given series and extend it starting from the number 900. The series provided is:

80, 50, 130, 100, 180, 150, 230

Let's analyze the series step by step:

1. **Identify the Pattern:**
- The series alternates between two operations: subtraction and addition.
- From 80 to 50: 80 - 30 = 50
- From 50 to 130: 50 + 80 = 130
- From 130 to 100: 130 - 30 = 100
- From 100 to 180: 100 + 80 = 180
- From 180 to 150: 180 - 30 = 150
- From 150 to 230: 150 + 80 = 230

The pattern is:
- Subtract 30, then add 80.

2. **Extend the Pattern Starting from 900:**
- Now, we will apply the same pattern starting from 900.
- First, we subtract 30:
- 900 - 30 = 870 (This will be (a))
- Next, we add 80:
- 870 + 80 = 950 (This will be (b))
- Then, we subtract 30 again:
- 950 - 30 = 920 (This will be (c))
- Next, we add 80:
- 920 + 80 = 1000 (This will be (d))
- Finally, we subtract 30:
- 1000 - 30 = 970 (This will be (e))

3. **Conclusion:**
- The value that comes in place of (e) is 970.

### Final Answer:
The number that will come in place of (e) is **970**.