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Read the following statements and selec...

Read the following statements and select the option which is NOT true based on the statements :
The cost of six mangoes is equal to the cost of four apples. The cost of eight apples is equal to the cost of two jackfruits.

A

A mango is not as costly as an apple.

B

An apple is cheaper than a jackfruit.

C

Jackfruit is the costliest of all

D

An apple is not as costly as mango.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the statements given and determine which option is NOT true based on the relationships between the costs of mangoes, apples, and jackfruits. ### Step-by-Step Solution: 1. **Understanding the Relationships**: - The cost of 6 mangoes is equal to the cost of 4 apples. - The cost of 8 apples is equal to the cost of 2 jackfruits. 2. **Setting Up the Equations**: - Let the cost of one mango be \( M \), the cost of one apple be \( A \), and the cost of one jackfruit be \( J \). - From the first statement: \[ 6M = 4A \quad \Rightarrow \quad M = \frac{4A}{6} = \frac{2A}{3} \] - From the second statement: \[ 8A = 2J \quad \Rightarrow \quad J = \frac{8A}{2} = 4A \] 3. **Comparing Costs**: - Now we have: - Cost of one mango: \( M = \frac{2A}{3} \) - Cost of one jackfruit: \( J = 4A \) 4. **Analyzing the Statements**: - **Statement A**: A mango is not as costly as an apple. - Since \( M = \frac{2A}{3} \), this is true because \( \frac{2A}{3} < A \). - **Statement B**: An apple is cheaper than a jackfruit. - Since \( J = 4A \), this is also true because \( A < 4A \). - **Statement C**: Jackfruit is the costliest of all. - This is true as \( J = 4A \) is greater than both \( A \) and \( M \). - **Statement D**: An apple is not as costly as a mango. - This is false because \( A > M \) (since \( A > \frac{2A}{3} \)). 5. **Conclusion**: - The statement that is NOT true is **Statement D**: "An apple is not as costly as a mango." ### Final Answer: The option which is NOT true based on the statements is **D**.
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