Directions: Find the wrong number in the series. 196, 169, 144, 121, 100, 80, 64
Aptitude
Odd Man Out and Series
Difficulty: Easy
Choose an option
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A169
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B144
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C121
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D100
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E80
Answer
Correct Answer: 80
Explanation
### Concept & Logic
Recognize familiar numerical sequences, such as perfect squares.
### Step-by-Step Solution
1. Observe the numbers: $196$, $169$, $144$, $121$, $100$, $80$, $64$.
2. Most of these are recognizable perfect squares.
3. $196 = 14^2$
4. $169 = 13^2$
5. $144 = 12^2$
6. $121 = 11^2$
7. $100 = 10^2$
8. The next should be $9^2 = 81$.
9. The given number is $80$, which is not $81$.
10. The last number is $64 = 8^2$, confirming the pattern of descending squares.
11. Thus, $80$ is the wrong number in the series.
### Exam Strategy & Shortcut
Memorizing perfect squares up to at least $30$ makes solving such series almost instantaneous.
### Common Pitfall
Overcomplicating the pattern by looking at differences between terms when the numbers themselves are standard mathematical values (squares).
### Final Answer
Therefore, the correct answer is **80**.