# CAT 2007 DILR Questions

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**The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.**

**Q1. What is the percentage of vegetarian students in Class 12?**

(A) 40

(B) 45

(C) 50

(D) 55

(E) 60

Answer: A

**Q2. Class 12, twenty five per cent of the vegetarians are male. What is the difference between the number of female vegetarians and male non-vegetarians?**

(A) less than 8

(B) 10

(C) 12

(D) 14

(E) 16

Answer: E

**Q3. What is the percentage of male students in the secondary section?**

(A) 40

(B) 45

(C) 50

(D) 55

(E) 60

Answer: B

**Q4. In the Secondary Section, 50% of the students are vegetarian males. Which of the following statements is correct?**

(A) Except vegetarian males, all other groups have same number of students.

(B) Except non-vegetarian males, all other groups have same number of students.

(C) Except vegetarian females, all other groups have same number of students.

(D) Except non-vegetarian females, all other groups have same number of students

(E) All of the above groups have the same number of students.

Answer: C

**Answer the following question based on the information given below.**

The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product.

The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs. 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixe(D) Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions.

**Q5. What is the approximate cost per unit in rupees, if the company produces and sells 1400 units in the year 2007?**

(A) 104

(B) 107

(C) 110

(D) 115

(E) 116

Answer: B

**Q6. What is the minimum number of units that the company needs to produce and sell to avoid any loss?**

(A) 313

(B) 350

(C) 384

(D) 747

(E) 928

Answer: C

**Q7. Given that the company cannot sell more than 1700 units, and it will have to reduce the price by Rs. 5 for all units, if it wants to sell more than 1400 units, what is the maximum profit, in rupees, that the company can earn?**

(A) 25,400

(B) 24,400

(C) 31,400

(D) 32,900

(E) 32,000

Answer: A

**Q8. If the company reduces the price by 5%, it can produce and sell as many units as it desires. How many units the company should produce to maximize its profit?**

(A) 1400

(B) 1600

(C) 1800

(D) 1900

(E) 2000

Answer: E

**Answer the following question based on the information given below.**

The table below shows the comparative costs, in US Dollars, of major surgeries in USA and a select few Asian countries.

The equivalent of one US Dollar in the local currencies is given below.

A consulting firm found that the quality of the health services were not the same in all the countries above. A poor quality of a surgery may have significant repercussions in future, resulting in more cost in correcting mistakes. The cost of poor quality of surgery is given in the table below.

**Q9. The rupee value increases to Rs. 35 for a US Dollar, and all other things including quality, remain the same. What is the approximate difference in cost, in US Dollars, between Singapore and India for a Spinal Fusion, taking this change into account?**

(A) 700

(B) 2500

(C) 4500

(D) 8000

(E) No difference

Answer: B

**Q10. Approximately, what difference in amount in Bahts will it make to a Thai citizen if she were to get a hysterectomy done in India instead of in her native country, taking into account the cost of poor quality? It costs 7500 Bahts for one-way travel between Thailand and India.**

(A) 23500

(B) 40500

(C) 57500

(D) 67500

(E) 75000

Answer: D

**Q11. A US citizen is hurt in an accident and requires an angioplasty, hip replacement and a knee replacement. Cost of foreign travel and stay is not a consideration since the government will take care of it. Which country will result in the cheapest package, taking cost of poor quality into account?**

(A) India

(B) Thailand

(C) Malaysia

(D) Singapore

(E) USA

Answer: C

**Q12. Taking the cost of poor quality into account, which country/countries will be the most expensive for knee replacement?**

(A) India

(B) Thailand

(C) Malaysia

(D) Singapore

(E) India and Singapore

Answer: A

**Answer the following question based on the information given below.**

A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance between a pair of airports and the corresponding price charged by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.

**Q13. What is the lowest price, in rupees, a passenger has to pay for travelling by the shortest route from A to J?**

(A) 2275

(B) 2850

(C) 2890

(D) 2930

(E) 3340

Answer: D

**Q14. The company plans to introduce a direct flight between A and J. The market research results indicate that all its existing passengers travelling between A and J will use this direct flight if it is priced 5% below the minimum price that they pay at present. What should the company charge approximately, in rupees, for this direct flight?**

(A) 1991

(B) 2161

(C) 2707

(D) 2745

(E) 2783

Answer: B

**Q15. If the airports C, D and H are closed down owing to security reasons, what would be the minimum price, in rupees, to be paid by a passenger travelling from A to J?**

(A) 2275

(B) 2615

(C) 2850

(D) 2945

(E) 3190

Answer: C

**Q16. If the prices include a margin of 10% over the total cost that the company incurs, what is the minimum cost per kilometer that the company incurs in flying from A to J?**

(A) 0.77

(B) 0.88

(C) 0.99

(D) 1.06

(E) 1.08

Answer: B

**Q17. If the prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost per kilometer for the company?**

(A) 2170

(B) 2180

(C) 2315

(D) 2350

(E) 2390

Answer: D

**Answer the following question based on the information given 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.

**Q18. 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?**

(A) O and P

(B) R and S

(C) P and S

(D) Q and R

(E) O and S

Answer: E

**Q19. 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?**

(A) One

(B) Two

(C) Three

(D) Four

(E) None

Answer: A

**Q20. 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.**

(A) P and Q

(B) P and S

(C) P and R

(D) Q and S

(E) R and S

Answer: D

**Q21. 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?**

(A) 2 : 1 : 3

(B) 4 : 1 : 2

(C) 2 : 1 : 4

(D) 3 : 1: 2

(E) 4 : 1 : 1

Answer: E

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