CAT 2021 Set-1 | Data Interpretation and Logical Reasoning | Question: 6

Question

Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). $\text{Table-1}$ gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit of each of the raw materials mentioned in the second column of the table.

 

$$\textbf{Table-1} \\ \begin{array}{|l|l|} \hline \textbf{Finished product} & \textbf{Raw materials required} \\\hline \text{Mango smoothie} & \text{Mango, Milk} \\\hline \text{Apple smoothie} & \text{Apple, Milk} \\\hline \text{Banana smoothie} & \text{Banana, Milk} \\\hline \text{Mixed fruit smoothie} & \text{Mango, Apple, Banana, Milk} \\\hline \text{Fruit salad} & \text{Mango, Apple, Banana} \\\hline  \end{array}$$

One unit of milk, mango, apple, and banana cost $₹5, ₹3, ₹2,$ and $ ₹1$ respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of $ ₹ 4 \;  \text{per unit}.$ Leftover raw materials are sold during the last business hour of the day for a loss of $ ₹ 1 \;  \text{per unit}.$

The amount, $\text{in rupees},$ receives from sales (revenue) for each woman in each of the four business hours of the day is given in $\text{Table-2}.$

$$\textbf{Table-2} \\ \begin{array}{|l|c|c|c|} \hline \textbf{Business Hour} & \textbf{Ganga} & \textbf{Kaveri} & \textbf{Narmada} \\\hline \text{Hour 1} & 23 & 19 & 31 \\\hline \text{Hour 2} & 21 & 22 & 21 \\\hline  \text{Hour 3} & 29 & 30 &  23 \\\hline  \text{Hour 4 (last hour)} & 30 & 27 & 22 \\\hline  \end{array}$$

The following additional facts are known.

1. No one except possibly Ganga sold any Mango smoothie.
2. Each woman sold either zero or one unit of any single finished product in any hour.
3. Each woman had exactly one unit each of two different raw materials as leftovers.
4. No one had any banana leftover.

Which of the following is $\text{NECESSARILY}$ true ?

• A. Ganga did not sell any leftover apples.
• B. Ganga did not sell any leftover mangoes.
• C. Kaveri sold one unit of leftover mangoes.
• D. Narmada sold one unit of leftover milk.