In each series missing term is mentioned by question mark (?). Find out the missing term in given alternatives and write its alternative number against the correct question number on your answer sheet-
213, 768, 132, 687,? 876, 213,?

Options

A. 312,786
B. 321, 768
C. 321, 867
D. 123, 678

Answer

To solve the problem, we need to identify the missing terms in the given series:

**Series:** 213, 768, 132, 687, ?, 876, 213, ?

### Step 1: Identify the two alternating series
The series can be split into two alternating sequences:
1. **Series A:** 213, 132, ?, 213
2. **Series B:** 768, 687, 876, ?

### Step 2: Analyze Series A
In Series A:
- The first term is 213.
- The second term is 132.

To find the pattern, we can observe how the digits are rearranged:
- From 213 to 132, the digits seem to be rotated.
- 2 moves to the last position, 1 moves to the first position, and 3 remains in the middle.

Continuing this pattern:
- The next term should rearrange the digits of 132.
- Following the same rotation, we get 321.

Thus, the missing term in Series A is **321**.

### Step 3: Analyze Series B
In Series B:
- The first term is 768.
- The second term is 687.

Again, we can observe how the digits are rearranged:
- From 768 to 687, the digits are rotated.
- 7 moves to the last position, 6 moves to the first position, and 8 remains in the middle.

Continuing this pattern:
- The next term should rearrange the digits of 687.
- Following the same rotation, we get 876.

Thus, the missing term in Series B is **876**.

### Summary of Findings
- The first missing term (in Series A) is **321**.
- The second missing term (in Series B) is **876**.

### Final Answer
The missing terms are:
1. First missing term: **321**
2. Second missing term: **876**