Number series (find the wrong term): 196, 169, 144, 121, 101
Verbal Reasoning
Series Completion
Difficulty: Easy
Choose an option
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A101
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B121
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C169
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D196
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E144
Answer
Correct Answer: 101
Explanation
Introduction / Context:This series plainly uses perfect squares in descending order. One term breaks the sequence by not being a perfect square. Spotting the incorrect value is straightforward if you recall common squares.
Given Data / Assumptions:
- Series: 196, 169, 144, 121, 101.
- Expect consecutive square numbers in reverse.
Concept / Approach:Match each term to a perfect square: 14^2, 13^2, 12^2, 11^2, 10^2. The final term should be 100 (10^2), not 101.
Step-by-Step Solution:196 = 14^2.169 = 13^2.144 = 12^2.121 = 11^2.Expected next = 10^2 = 100, but given value is 101 → incorrect.
Verification / Alternative check:Replacing 101 with 100 yields a perfect countdown of consecutive integer squares: 14^2, 13^2, 12^2, 11^2, 10^2.
Why Other Options Are Wrong:
- 196, 169, 144, 121 are exact squares and belong to the pattern.
Common Pitfalls:
- Mistaking 101 as prime and overlooking that the rule is about squares, not primality.
Final Answer:101