Number series – find the wrong term (identify the outlier). Sequence: 56, 72, 90, 110, 132, 150

Difficulty: Easy

Correct Answer: 150

Explanation:


Introduction / Context:
This is a difference-pattern series where each step increases by a steadily growing even number. One term breaks the pattern and must be identified.



Given Data / Assumptions:

  • Series: 56, 72, 90, 110, 132, 150
  • One term is incorrect.


Concept / Approach:
Compute successive differences and check whether they follow a simple progression, such as adding even numbers that increase by 2 each time.



Step-by-Step Solution:

72 − 56 = 1690 − 72 = 18110 − 90 = 20132 − 110 = 22Expected next difference is 24, so expected next term = 132 + 24 = 156.Given final term is 150, which is short by 6 and breaks the +2-increment pattern of the differences.


Verification / Alternative check:
Replace 150 with 156 to obtain differences 16, 18, 20, 22, 24, a consistent arithmetic progression of even numbers.



Why Other Options Are Wrong:

  • 72, 110, 132: Each fits perfectly into the growing-difference pattern.


Common Pitfalls:
Looking at ratios when the structure is additive. Always test both methods, but here differences immediately reveal the rule.



Final Answer:
150

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion