CAT 2019 Slot 2 Question Paper
A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018. The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department
In this setup, Profit is computed as (Revenue - Cost) and Percentage Profit as Profit/Cost × 100%.
It is known that
1. The percentage profit for the store in 2016 was 100%.
2. The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018.
3. There was no profit from the Electronics department in 2017.
4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.
CAT 2019 Slot 2 - Question 61
What percentage of the total profits for the store in 2016 was from the Electronics department?
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CAT 2019 Slot 2 - Question 62
What was the approximate difference in profit percentages of the store in 2017 and 2018?
Students in a college are discussing two proposals --
A: a proposal by the authorities to introduce dress code on campus, and
B: a proposal by the students to allow multinational food franchises to set up outlets on college campus.
A student does not necessarily support either of the two proposals.
In an upcoming election for student union president, there are two candidates in fray:
Sunita and Ragini. Every student prefers one of the two candidates.
A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.
1. 250 students supported proposal A and 250 students supported proposal B.
2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.
3. Among those who preferred Ragini, 30% supported proposal A.
4. 20% of those who supported proposal B preferred Sunita.
5. 40% of those who did not support proposal B preferred Ragini.
6. Every student who preferred Sunita and supported proposal B also supported proposal A.
7. Among those who preferred Ragini, 20% did not support any of the proposals.
CAT 2019 Slot 2 - Question 63
Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?
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CAT 2019 Slot 2 - Question 64
What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president?
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CAT 2019 Slot 2 - Question 65
What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?
CAT 2019 Slot 2 - Question 66
How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?
For the following questions answer them individually
CAT 2019 Slot 2 - Question 67
The average of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average of these 20 integers?
CAT 2019 Slot 2 - Question 68
Amal invests Rs 12000 at 8% interest, compounded annually, and Rs 10000 at 6% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is
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CAT 2019 Slot 2 - Question 69
What is the largest positive integer n such that $$\frac{n^2 + 7n + 12}{n^2 - n - 12}$$ is also a positive integer?
CAT 2019 Slot 2 - Question 70
How many pairs (m, n) of positive integers satisfy the equation $$m^2 + 105 = n^2$$?
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