Data Interpretation Previous Year Questions (CAT)  Set 0002

Previous years`s CAT questions: Data Interpretation
Post your solutions as reply to respective questions below.

Question 1
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: (CAT 2007)
1. What is the percentage of male students in the secondary section?
(1) 40 (2) 45 (3) 50 (4) 55 (5) 60
2. In Class 12, twenty five per cent of the vegetarians are male. What is the difference between the number of female vegetarians and male nonvegetarians?
(1) Less than 8 (2) 10 (3) 12 (4) 14 (5) 16
3. What is the percentage of vegetarian students in Class 12?
(1) 40 (2) 45 (3) 50 (4) 55 (5) 60
4. In the Secondary Section, 50% of the students are vegetarian males. Which of the following statements is correct?
(1) Except vegetarian males, all other groups have same number of students.
(2) Except nonvegetarian males, all other groups have same number of students.
(3) Except vegetarian females, all other groups have same number of students.
(4) Except nonvegetarian females, all other groups have same number of students
(5) All of the above groups have the same number of students.

Answer: Option 2 Option 5 Option 1 Option 3

Question 2
The following table shows the breakup 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 fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions. (CAT 2007)
1. What is the approximate cost per unit in rupees, if the company produces and sells 1400 units in the year 2007?
(1) 104 (2) 107 (3) 110 (4) 115 (5) 116
2. What is the minimum number of units that the company needs to produce and sell to avoid any loss?
(1) 313 (2) 350 (3) 384 (4) 747 (5) 928
3. If the company reduces the price by 5%, it can produce and sell as many units as it desires. How many units should the company produce to maximize its profit?
(1) 1400 (2) 1600 (3) 1800 (4) 1900 (5) 2000
4. 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?
(1) 25,400 (2) 24,400 (3) 31,400 (4) 32,900 (5) 32,000

Answer: Option 2 Option 3 Option 5 Option 1