CAT 2018 Question Paper Slot 1

Instructions

The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarterwise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.


Question 51

What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?

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Question 52

In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?

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Question 53

During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?

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Question 54

During which month was the percentage increase in sales from the previous month’s sales the highest?

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Instructions

Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:

1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.

Question 55

Based on the given information, which of the following statements MUST be FALSE?

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Question 56

What is the number of bureaucrats in the administration committee?

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789
456
123
0.-
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Question 57

What is the number of educationalists in the research committee?

Backspace
789
456
123
0.-
Clear All
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Question 58

Which of the following CANNOT be determined uniquely based on the given information?

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Instructions

1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites:

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.
2. The number of satellites serving all three of B, C, and S is 100.
3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.
4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B.

Question 59

What best can be said about the number of satellites serving C?

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Question 60

What is the minimum possible number of satellites serving B exclusively?

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