Consider the following statements :
1. There exists a natural number which when increased by 50% can have its number of factors unchanged.
2. There exists a natural number which when increased by 150% can have its number of factors unchanged.
Which of the statements given above is/are correct?
A
I only
B
II only
C
Both I and II
D
Neither I nor II
Correct Answer: Option C
Explanation
Let's solve this using the 'Percentage to Fraction' technique [15] combined with 'Small Number Probing' [76].
**Analyzing Statement 1:**
- 'Increas