CSATData Interpretation & SufficiencyAlgebra2024

A Question is given followed by two Statements I and II. Consider the Question and the Statements. A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least. Question : What is the price of the article p? 1. Statement-I : The cost of p is not more than that of r. 2. Statement-II : The cost of r is not more than that of p. Which one of the following is correct in respect of the above Question and the Statements?

A

The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone

B

The Question can be answered by using either Statement alone

C

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

D

The Question cannot be answered even by using both the Statements together

Correct Answer: Option C

Explanation

1. **Formulate the Equation:** From the question, we have $p + q + r = 50$. We know $q = 16$. Substituting this, we get simplified equation: $p + r = 34$ [34]. 2. **Apply Boundary Condition:** We are told $q$ is the 'least' p

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