CAT 2025 Lesson : DILR: Jul '25 to Aug '25 - Live Solving - 03 Jul 2025

Details for Questions 1 to 4 are provided below

A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q, R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50, Q: 200, R: 500, S: 100.

1) The company is planning to launch a balanced diet required for growth needs of adolescent children. This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible?

(1) O and P
(2) R and S
(3) P and S
(4) Q and R
(5) O and S

2) For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?

(1) One
(2) Two
(3) Three
(4) Four
(5) None

3) Which among the following is the formulation having the lowest cost per unit for a diet having 10% fat and at least 30% protein? The diet has to be formed by mixing two ingredients.

(1) P and Q
(2) P and S
(3) P and R
(4) Q and S
(5) R and S

4) In what proportion should P, Q and S be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?

(1) 2 : 1 : 3
(2) 4 : 1 : 2
(3) 2 : 1 : 4
(4) 3 : 1: 2
(5) 4 : 1 : 1

Details for Questions 5 to 8 are provided below

AtoF Corp has 6 brands – A, B, C, D, E and F. The table below provides the percentage contribution of each brand of the company towards various items.

The following definitions apply for each brand.

1) Profit = Revenue - Expenses
2) Profit % =

\dfrac{\mathrm{Profit}}{\mathrm{Revenue}} \times 100

3) Brand Value is the ratio of Units sold to Marketing Expenses

5) Which brand recorded the highest profit %?

(1) A
(2) B
(3) C
(4) F

6) Which brand (among the 6 brands) had the second highest Brand Value?

(1) A
(2) C
(3) D
(4) F

7) If the average revenue generated per employee of AtoF Corp is Rs. 10 lakhs, then what is the average revenue earned per employee of Brand E?

(1) Rs. 7.8 lakhs
(2) Rs. 8.3 lakhs
(3) Rs. 8.8 lakhs
(4) Rs. 9.3 lakhs

8) Which company had the second lowest brand value per employee?

(1) A
(2) B
(3) D
(4) E

Details for Questions 9 to 12 are provided below

During an unstable period, the values of Dollar, Pound and Euro fluctuated across the week from Monday to Friday. Their values across the week in Indian Rupees (INR) are given in the graph below. Dollar, Pound and Euro in the graph are represented as A, B and C, not necessarily in the same order.

Note: Assume that charges for conversion of currency is nil.

9) A person buys Dollars worth INR 3,60,000 on Monday, exchanged them for Indian Rupees onTuesday and got them converted into Pounds immediately. How many Pounds he should have possibly got?

(1) 1800
(2) 9000
(3) 12000
(4) 16000

10) A transaction is defined as converting one of these three currencies into INR or converting INR into one of these currencies. What is the maximum amount (in INR) a man could have earned by at most 4 transactions over the week if he has INR 22,000 with him to start with on Monday?

(1) 12400
(2) 14000
(3) 17600
(4) 16400

11) Exchange rate of currency X to currency Y is formulated as the amount of currency Y one would get with the Indian Rupees got by converting a unit of currency X into INR on a single day. If the exchange rate of Pound to Euro is 4 on one of these days, all of the following could be true EXCEPT

(1) Exchange rate of Pound to Euro on Monday is 0.5.
(2) Exchange rate of Dollar to Euro on Tuesday is 2.
(3) Exchange rate of Pound to Dollar on Wednesday is 2.18.
(4) Exchange rate of Euro to Pound on Friday is 0.25

12) If exchange rate of Pound and Dollar is same on at least three days of the week, then which of the following cannot be the ratio of exchange rate of Pound to that of Euro on any day in the given week?
(1) 2 : 1
(2) 9 : 5
(3) 4 : 3
(4) 10 : 3

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