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What should come in place of question ma...

What should come in place of question mark (?) in the following number series?
20 13 24 11 28 ?

A

9

B

12

C

8

D

7

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the series 20, 13, 24, 11, 28, ?, we can analyze the pattern of the series step by step. ### Step 1: Identify the two alternating sequences The series alternates between two sequences: 1. The first sequence consists of the numbers in the odd positions: 20, 24, 28 2. The second sequence consists of the numbers in the even positions: 13, 11, ? ### Step 2: Analyze the first sequence (increasing) The first sequence is: - 20 (1st term) - 24 (3rd term) - 28 (5th term) To find the pattern: - From 20 to 24, we add 4. - From 24 to 28, we add 4. So, the pattern for the first sequence is to add 4 each time. ### Step 3: Analyze the second sequence (decreasing) The second sequence is: - 13 (2nd term) - 11 (4th term) - ? (6th term) To find the pattern: - From 13 to 11, we subtract 2. We can assume the same pattern continues, so we subtract 2 from 11 to find the next term. ### Step 4: Calculate the missing term Now, we subtract 2 from 11: 11 - 2 = 9 Thus, the missing term in the series is 9. ### Final Answer The number that should come in place of the question mark (?) is **9**. ---
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