CAT Morning Shift Question and Answer Paper Analysis 2019 Part 5

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The Ministry of Home Affairs is analyzing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016.

The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.

The Number of Cases

The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three categories of crimes. A state/UT is given rank r for a category of crimes if there are (r-1) states/UTs having a larger number of cases registered in that category of crimes. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by ⚹ .

Missing Ranks
IPC CrimesSLL CrimesOther Crimes
Tamil Nadu117
West Bengal1716

Q. 6 In the two states where the highest total numbers of cases are registered, the ratio of the total number of cases in IPC crimes to the total number in SLL crimes is closest to

1.3: 2

2.19: 20

3.1: 9

4.11: 10

Ans: 2.19: 20

Q. 7 Which of the following is DEFINITELY true about the ranks of states/UT in the ‘other crimes’ category?

i) Tamil Nadu: 2

ii) Puducherry: 3

1. Neither i) , nor ii)

2. Only ii)

3. Only i)

4. Both i) and ii)

Ans: 4. both i) and ii)

A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.

The following additional facts are known.

1. A and B are to be placed in consecutively numbered shelves in increasing order.

2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.

3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.

4. K is to be placed in shelf number 16.

5. L and J are items of the same type, while H is an item of a different type.

6. C is a candy and is to be placed in a shelf preceded by two empty shelves.

7. L is to be placed in a shelf preceded by exactly one empty shelf.

Q. 9 In how many different ways can the items be arranged on the shelves?





Ans: 2.8

Q. 10 Which of the following items is not a type of biscuit?

1. B

2. A

3. G

4. L

Ans: 3. G

Q. 11 Which of the following can represent the numbers of the empty shelves in a possible arrangement?

1.1, 7,11, 12

2.1,2, 6,12

3.1,2, 8,12

4.1,5, 6,12

Ans: 2.1,2, 6,12

Q. 12 Which of the following statements is necessarily true?

1. There are at least four shelves between items B and C.

2. All biscuits are kept before candies.

3. All candies are kept before biscuits.

4. There are two empty shelves between the biscuits and the candies.

Ans: 1. there are at least four shelves between items B and C.