# CAT Morning Shift Question and Answer Paper Analysis 2019 Part 2

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Q. 12 In a race of three horses, the first beat the second by 11 metres and the third by 90 metres. If the second beat the third by 80 metres, what was the length, in metres, of the racecourse?

Choices:

1.880

2.990

3.770

4.850

Ans: 1.880

Q. 13 Meena scores in an examination and after review, even though her score is increased by , she fails by 35 marks. If her post-review score is increased by , she will have 7 marks more than the passing score. The percentage score needed for passing the examination is

Choices:

1.75

2.60

3.80

4.70

Ans: 4.70

Q. 14 The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, was

Choices:

1.

2.

3.

4.

Ans: 1.

Q. 15 A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weighs 800 gm. If half litre of the mixture weighs 480 gm, then the percentage of liquid 1 in the mixture, in terms of volume, is

Choices:

1.75

2.85

3.80

4.70

Ans: 3.80

Q. 16 Let x and y be positive real numbers such that . Then equals

Choices:

1.150

2.100

3.250

4.25

Ans: 1.150

Q. 17 With rectangular axes of coordinates, the number of paths from to via where each step from any point is either to or to is

Choices:

1.

2.

3.

4.

Ans: 2.

Q. 18 The number of solutions to the equation is

Choices:

1.3

2.6

3.5

4.4

Ans: 3.5

Q. 19 At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?

Choices:

1.18

2.36

3.24

4.12

Ans: 1.18

Q. 20 The product of the distinct roots of is

Choices:

1.

2.

3.

4.

Ans: 2. − 16

Q. 21 Let T be the triangle formed by the straight line and the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is

Choices:

1.9

2.10

3.8

4.6

Ans: 1.9