Number series (find the wrong term): 196, 169, 144, 121, 101

Difficulty: Easy

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

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