# CAT Morning Shift Question and Answer Paper Analysis 2019 Part 1

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Q.1 If = = 1000, than the Value of is

Choices:

1.

2.

3. 1

4. 3

Ans: 2.

Q.2 Corners are cut off from an equilateral triangle T to produce a regular hexagon H.

Then, the ratio of the area of H to the area of T is

Choices:

1.

2.

3.

4.

Ans: 1.

Q.3 Let S be the set of all points in the plane such that and

1. Then, the area, in square units, of the region represented by S equals

Choices:

1. 2

2. 5

3. 6

4. 8

Ans: 1. 2

Q.4 If, for every n, then equals

Choices:

1. 6144

2. 5144

3. 3144

4. 7144

Ans: 1. 6144

Q.5 If ...... is in A, P < then, + + ........+ is equal to

Choices:

1.

2.

3.

4.

Ans: 4.

Q.6 AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to

Choices:

1. 9.1

2. 7.8

3. 9.3

4. 8.5

Ans: 1. 9.1

Q.7 Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is

Choices:

1. 49

2. 51

3. 48

4. 53

Ans: 2. 51

Q.8 One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1/3 of his total journey time, while Bimal took each mode of transport 1/3 of the total distance. The percentage by which Bimal’s travel time exceeds Amal’s travel time is nearest to

Choices:

1. 22

2. 20

3. 19

4. 21

Ans: 1. 22

Q.9 If the rectangular faces of a brick have their diagonals in the ratio 3: 2:, then the ratio of the length of the shortest edge of the brick to that of its longest edge is

Choices:

1.

2.

3.

4.

Ans: 1.

Q.10 Two cars travel the same distance starting at 10:00 am and 11:00 am, respectively, on the same day. They reach their common destination at the same point of time. If the first car travelled for at least 6 hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is

Choices:

1. 10

2. 20

3. 30

4. 25

Ans: 2. 20

Q.11 Amala, Bina, and Gouri invest money in the ratio 3: 4: 5 in fixed deposits having respective annual interest rates in the ratio 6: 5: 4. What is their total interest income (in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs 250?

Choices:

1. 6000

2. 7250

3. 6350

4. 7000

Ans: 2. 7250