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Direction: In the following number serie...

Direction: In the following number series questions one number is wrong. Find out the wrong number.
18.3 20.6 16 22.9 13.7 2.2 11.4

A

2.2

B

16

C

22.9

D

20.6

Text Solution

AI Generated Solution

The correct Answer is:
To find the wrong number in the series: 18.3, 20.6, 16, 22.9, 13.7, 2.2, 11.4, we can analyze the pattern of the series step by step. ### Step 1: Identify the pattern Let's look at the series: - 18.3 - 20.6 - 16 - 22.9 - 13.7 - 2.2 - 11.4 We can see that the series alternates between increasing and decreasing numbers. ### Step 2: Calculate the differences 1. From 18.3 to 20.6: - 20.6 - 18.3 = 2.3 (increase) 2. From 20.6 to 16: - 16 - 20.6 = -4.6 (decrease) 3. From 16 to 22.9: - 22.9 - 16 = 6.9 (increase) 4. From 22.9 to 13.7: - 13.7 - 22.9 = -9.2 (decrease) 5. From 13.7 to 2.2: - 2.2 - 13.7 = -11.5 (decrease) 6. From 2.2 to 11.4: - 11.4 - 2.2 = 9.2 (increase) ### Step 3: Analyze the pattern of differences - The increases are: 2.3, 6.9, and the next increase should follow a pattern. - The decreases are: -4.6, -9.2, and the next decrease should also follow a pattern. ### Step 4: Check the expected values 1. The first increase is 2.3. 2. The second increase is 6.9, which is 2.3 + 4.6. 3. The next expected increase should be 6.9 + 4.6 = 11.5. ### Step 5: Check the decrease 1. The first decrease is -4.6. 2. The second decrease is -9.2, which is -4.6 - 4.6. 3. The next expected decrease should be -9.2 - 4.6 = -13.8. ### Step 6: Identify the wrong number If we follow the pattern: - After 13.7, we should have: - Expected decrease: 13.7 - 11.5 = 2.2 (which is given) - Expected next number after 2.2 should be 2.2 + 11.5 = 13.7 (which is not correct). Thus, the number 2.2 is inconsistent with the expected pattern of the series. ### Conclusion The wrong number in the series is **2.2**.
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