Smoothies

(CAT 2021)


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). 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.

Table-1

Finished product	Raw materials required
Mango smoothie	Mango, Milk
Apple smoothie	Apple, Milk
Banana smoothie	Banana, Milk
Mixed fruit smoothie	Mango, Apple, Banana, Milk
Fruit salad	Mango, Apple, Banana

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 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit.

The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2.

Table-2

Business Hour	Ganga	Kaveri	Narmada
Hour 1	23	19	31
Hour 2	21	22	21
Hour 3	29	30	23
Hour 4 (last hour)	30	27	22

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.


1) What BEST can be concluded about the number of units of fruit salad sold in the first hour?

1. Either 0 or 1 or 2.
2. Exactly 1.
3. Exactly 2.
4. Either 1 or 2.

2) Which of the following is NECESSARILY true?

1. Narmada sold one unit of leftover milk.
2. Kaveri sold one unit of leftover mangoes.
3. Ganga did not sell any leftover apples.
4. Ganga did not sell any leftover mangoes.

3) What BEST can be concluded about the total number of units of milk the three women had in the beginning?

1. Either 18 or 19 or 20 units.
2. Either 17 or 18 or 19 units.
3. Either 19 or 20 units.
4. Either 18 or 19 units.

4) If it is known that three leftover units of mangoes were sold during the last business hour of the day, how many apple smoothies were sold during the day?

For answers CLICK HERE.