Explanation:

Here’s what’s going on:

- You know the rectangle’s breadth is 11 cm. The question is, what’s the length?

- Statement I: The ratio of the new area (after increasing length by 20%) to original area is 1.2:1.

- With breadth fixed, if the new area is 1.2 times the original, the length also got multiplied by 1.2. So, if L is the original length, 1.2L × 11 / (L × 11) = 1.2:1.

- That works out, but you still just have one variable (L). You can solve it directly.

- Statement II: Area increases by 20 if the breadth goes up by 15% (length fixed).

- New breadth: 1.15 × 11 = 12.65.

- Area increase: L × 12.65 - L × 11 = 20 ? L × 1.65 = 20

- So, L = 20/1.65.

Both statements alone are enough to get the length directly—no need for both together.

Now, let’s look at the options:

1. If either I or II alone but not the other is sufficient... (Not right—it works with each one alone.)

2. If both I or II alone are sufficient... (This is true!)

3. If both together, not either alone... (Not needed.)

4. If question can’t be answered... (Nope.)

Correct Answer:

Option:2, 2