# CAT Morning Shift Question and Answer Paper Analysis 2019 Part 3

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Q.22 Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days?

1. 10

2. 11

3. 13

4. 14

Ans: 3. 13

Q.23 A person invested a total amount of Rs 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio 2: 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs 76000 then the amount (in Rs lakh) invested in the fixed deposit was

1. 9

2. 10

2. 12

3. 13

Ans: 4. 13

Q.24 In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is

1. 50

2. 20

3. 30

4. 40

Ans: 2. 20

Q.25 The number of the real roots of the equation is

1. 0

2. 1

3. 2

4. Infinite

Ans: 2. 1

Q.26 A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is

1. 45

2. 32

3. 38

4. 43

Ans: 4. 43

Q.27 For any positive integer n, let if n is even, and if n is odd. If m is a positive integer such that, then m equals

1. 10

2. 12

3. 15

4. 20

Ans: 1.10

Q.28 The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is, then the sum of the two numbers is

1. 58

2. 95

3. 85

4. 50

Ans: 4. 50

Q.29 Consider a function f satisfying where are positive integers, and

Then a is equal to

1. 2

2. 3

3. 4

4. 5

Ans: 2. 3

Q.30 The income of Amala is more than that of Bimala and less than that of Kamala. If Kamala’s income goes down by and Bimala’s goes up by, then the percentage by which Kamala’s income would exceed Bimala’s is nearest to

1. 29

2. 28

3. 32

4. 31

Ans: 4. 31

Q.31 In a circle of radius 11 cm, CD is a diameter and AB is a chord of length 20.5 cm. If AB and CD intersect at a point E inside the circle and CE has length 7 cm, then the difference of the lengths of BE and AE, in cm, is

1.

2.

3.

4.

Ans: 4.

Q.32 On selling a pen at loss and a book at gain, Karim gains Rs. 7. If he sells the pen at gain and the book at gain, he gains Rs. 13. What is the cost price of the book in Rupees?

1. 85

2. 95

3. 80

4. 100

Ans: 3. 80

Q.33 If the population of a town is p in the beginning of any year then it becomes in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be

1.

2.

3.

4.

Ans: 4.

Q.34 If m and n are integers such that (^{19} (4 thyen m is

1.

2.

3.

4.

Ans: 3.