The next number in the series 7, 10, 8, 11, 9, 12, … is 10. This is because the series alternates between two separate sequences: one starting at 7 (odd positions: 7, 8, 9, …) and the other starting at 10 (even positions: 10, 11, 12, …). Each sequence increases by 1, so the next odd-positioned number after 9 is 10.​

Explanation of Each Option

• a. 7: This is the first number in the series, but the pattern shows that odd positions increase by 1 each time, so 7 is not the next number.​

• b. 10: This is the correct answer. The next odd-positioned number in the series is 10, following the pattern of 7, 8, 9, 10.​

• c. 12: This is the last even-positioned number in the series. The next number is not in an even position, so 12 is not correct.​

• d. 13: This would be the next even-positioned number after 12, but the next position in the series is odd, so 13 is not the answer.​

Introduction:
Number series questions are a crucial part of logical reasoning tests and competitive exams. One common pattern is the alternating series, where two sequences run together. In this article, we’ll break down the series 7, 10, 8, 11, 9, 12 and show how to identify the next number using pattern recognition.

Detailed Explanation:

• The series alternates between two sequences:

  • Odd positions: 7, 8, 9 (each increases by 1)

  • Even positions: 10, 11, 12 (each increases by 1)

• The next number is at the 7th position (odd), so it follows the odd-positioned sequence: 9 + 1 = 10.

Conclusion:
Understanding alternating number series helps in solving logical reasoning questions efficiently. For the series 7, 10, 8, 11, 9, 12, the next number is 10.​