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You are given a question and two stateme...

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
Question: Meenu has 5 boards of 3 different shapes - square, rectangular and circular. How many circular boards does she have?
Statements:
1. There are 3 square boards.
2. The number of rectangular boards is one-third of the number of square boards.

A

A. Statements 1 and 2 together are sufficient.

B

B. Statement 1 alone is sufficient.

C

C. Statement 2 alone is sufficient.

D

D. Statements 1 and 2 together are not sufficient.

Text Solution

AI Generated Solution

The correct Answer is:
To determine how many circular boards Meenu has, we will analyze the given statements step by step. ### Step-by-Step Solution: 1. **Understand the total number of boards**: - Meenu has a total of 5 boards. These boards can be of three different shapes: square, rectangular, and circular. 2. **Analyze Statement 1**: - Statement 1 states that there are 3 square boards. - If there are 3 square boards, we can denote the number of square boards as \( S = 3 \). 3. **Analyze Statement 2**: - Statement 2 states that the number of rectangular boards is one-third of the number of square boards. - Since we have already established that \( S = 3 \), we can calculate the number of rectangular boards \( R \) as follows: \[ R = \frac{1}{3} \times S = \frac{1}{3} \times 3 = 1 \] 4. **Calculate the number of circular boards**: - We know the total number of boards is 5. Therefore, we can express the number of circular boards \( C \) as: \[ C = \text{Total boards} - (S + R) = 5 - (3 + 1) = 5 - 4 = 1 \] 5. **Conclusion**: - From the calculations, we find that Meenu has 1 circular board. ### Summary: - The number of circular boards Meenu has is **1**.
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