Explanation:

Let’s break it down step by step:

- Maryanne has coins worth Rs. 4, made up of only 50-paisa and one-rupee coins.

- You need to find how many 50-paisa coins she has.

Statement I: She has fewer 50-paisa coins than one-rupee coins.

- This helps set a relationship but gives no numbers.

- On its own, you can’t find the exact number of 50-paisa coins.

Statement II: She has a total of 5 coins.

- This tells you the total coin count but doesn’t specify what type.

- On its own, you can’t pinpoint how many are 50-paisa coins.

Combining I and II:

- Let number of 50-paisa coins be x, one-rupee coins be y.

- Total amount: 0.5x + 1y = 4

- Number of coins: x + y = 5

- She has fewer 50-paisa coins than one-rupee coins: x < y

Now,

Solve these two equations:

x + y = 5 ? y = 5 – x

0.5x + (5 – x) = 4

0.5x + 5 – x = 4

0.5x – x = 4 – 5

-0.5x = –1

x = 2, y = 3 (since x < y)

So, you must use both statements together.

Let’s match options:

- Option 1: Use one statement alone—not possible here.

- Option 2: Either statement alone—not possible, neither I nor II alone give answer.

- Option 3: Both together, not either alone—this is correct.

- Option 4: Not answerable at all—incorrect.

Correct Answer:

Option:3, 3