Question

DIRECTIONS for the question: In the following question, one term in the number series is wrong. Find out the wrong term.
196, 169, 144, 121, 101

• A. 101
• B. 121
• C. 169
• D. 196
• E. 144

Hint:

In wrong term series: • Memorize perfect squares up to 30 and perfect cubes up to 15. This allows for instant recognition of patterns.

Answer 1

The Correct Option is A

Concept:
In a Wrong Term Number Series, the sequence follows a specific mathematical pattern, and one number violates this rule.
Step 1: Analyze the given numbers. The series is: 196, 169, 144, 121, 101. Look closely at the numbers; they are close to or exactly perfect squares.
Step 2: Identify the squares. $196 = 14^2$ $169 = 13^2$ $144 = 12^2$ $121 = 11^2$
Step 3: Determine the correct pattern and the wrong term. Following the pattern of decreasing perfect squares ($14^2, 13^2, 12^2, 11^2$), the next term should be $10^2$. $10^2 = 100$. However, the given term is 101. Thus, 101 is the wrong term in the series. \[ \therefore \text{The correct answer is: 101.} \]