Find the odd number: In 49, 140, 112, and 97, three are multiples of 7 while one is not. Identify the non-multiple of 7.
Verbal Reasoning
Classification
Difficulty: Easy
Choose an option
-
A49
-
B140
-
C112
-
D97
-
ENone of these
Answer
Correct Answer: 97
Explanation
Introduction / Context:This item distinguishes a non-multiple of 7 among clear multiples of 7.
Given Data / Assumptions:
- Numbers: 49, 140, 112, 97.
- 49 = 7^2; 140 = 7 * 20; 112 = 7 * 16.
Concept / Approach:Confirm multiples of 7 by division or by recognizing standard products.
Step-by-Step Solution:
49 → multiple of 7.140 → multiple of 7.112 → multiple of 7.97 → not divisible by 7 (7 * 13 = 91; 7 * 14 = 98).Verification / Alternative check:97 is prime; immediate neighbors 91 and 98 show it cannot be 7k.
Why Other Options Are Wrong:They are exact multiples of 7 and fit the majority property.
Common Pitfalls:Mistaking 98 as present; careful reading avoids misselection.
Final Answer:97 is not a multiple of 7 and is the odd number.