Arvind has blue, green, and white marbles. What is the percentage of white marbles out of all the marbles he has?

Statements:

(I) The total number of blue and green marbles is 7.

(II) He has 3 white marbles out of a total of 10 marbles.

Question

Arvind has blue, green, and white marbles. What is the percentage of white marbles out of all the marbles he has?

Statements:

(I) The total number of blue and green marbles is 7.

(II) He has 3 white marbles out of a total of 10 marbles.

Accepted Answer

**Solution:**

1. **Analyzing Statement I alone:**
   - We know the sum of blue and green marbles is 7.
   - However, the number of white marbles and the total number of marbles are unknown.
   - Without total marbles, we cannot calculate the percentage of white marbles.
   - Therefore, Statement I alone is insufficient.

2. **Analyzing Statement II alone:**
   - White marbles = 3
   - Total marbles = 10
   - Percentage of white marbles = $$ \frac{3}{10}$ $\times$ 100 = 30\% $
   - Hence, Statement II alone provides enough information to answer the question.

3. **Combining Statements I and II:**
   - Since Statement II alone is sufficient, combining with Statement I is not necessary.

**Answer:** Data in Statement II alone is sufficient to answer the question while data in Statement I is not.

Answer

Answer

Answer