Directions: Find out the wrong number in each sequence 56, 72, 90, 110, 132, 150
Aptitude
Odd Man Out and Series
Difficulty: Easy
Choose an option
-
A72
-
B110
-
C132
-
D150
Answer
Correct Answer: 150
Explanation
### Concept & Logic
The sequence is formed by the product of consecutive integers.
$$n(n+1)$$
### Step-by-Step Solution
Let's analyze the terms:
- $7 \times 8 = 56$
- $8 \times 9 = 72$
- $9 \times 10 = 90$
- $10 \times 11 = 110$
- $11 \times 12 = 132$
- $12 \times 13 = 156$
The number 150 is incorrect. It should be 156.
### Exam Strategy & Shortcut
Another way to view this is by taking the differences between consecutive terms:
$72 - 56 = 16$
$90 - 72 = 18$
$110 - 90 = 20$
$132 - 110 = 22$
The next difference should be $24$.
So, $132 + 24 = 156$.
The given number 150 is wrong.
### Common Pitfall
Miscalculating the differences or not recognizing the pattern of products of consecutive numbers.
### Final Answer
Therefore, the correct answer is **150**.