CAT Morning Shift Question and Answer Paper Analysis 2019 Part 6

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Start Passage

A new game show on TV has 100 boxes numbered 1, 2. . . 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c . . . in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.

Q.13 what is the minimum possible number of different types of prizes?

A. 5

B. 4

C. 2

D. 10

Ans: C. 2

Q.14 What is the maximum possible number of different types of prizes?

A. 10

B. 5

C. 6

D. 3

Ans: C. 6

Q.15 Which of the following is not possible?

1. There are exactly 75 items of type e.

2. There are exactly 45 items of type c.

3. There are exactly 60 items of type d.

4. There are exactly 30 items of type b.

Ans: 2. there are exactly 45 items of type c.

Q.16 You ask for the type of item in box 45. Instead of being given a direct answer, you are told that there are 31 items of the same type as box 45 in boxes 1 to 44 and 43 items of the same type as box 45 in boxes 46 to 100.

What is the maximum possible number of different types of items?

1. 6

2. 3

3. 5

4. 4

Ans: 3. 5

End Passage

Start Passage

Five vendors are being considered for a service. The evaluation committee evaluated each vendor on six aspects – Cost, Customer Service, Features, Quality, Reach, and Reliability.

Each of these evaluations is on a scale of 0 (worst) to 100 (perfect). The evaluation scores on these aspects are shown in the radar chart. For example, Vendor 1 obtains a score of 52 on Reliability, Vendor 2 obtains a score of 45 on Features and Vendor 3 obtains a score of 90 on Cost.

Five vendors

Five Vendors

Q.17 On which aspect is the median score of the five vendors the least?

1. Customer Service

2. Cost

3. Quality

4. Reliability

Ans: 1. Customer Service

Q.18 A vendor’s final score is the average of their scores on all six aspects. Which vendor has the highest final score?

1. Vendor 1

2. Vendor 2

3. Vendor 4

4. Vendor 3

Ans: 4. Vendor 3

Q.19 List of all the vendors who are among the top two scorers on the maximum number of aspects is:

1. Vendor 2, Vendor 3 and Vendor 4

2. Vendor 1 and Vendor 5

3. Vendor 1 and Vendor 2

4. Vendor 2 and Vendor 5

Ans: 2. Vendor 1 and Vendor 5

Q.20 List of all the vendors who are among the top three vendors on all six aspects is:

1. None of the Vendors

2. Vendor 1

3. Vendor 3

4. Vendor 1 and Vendor 3

Ans: 3. Vendor 3

End Passage

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