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Q.1.
6/3/2023 10:05 AM 1
CAT 2022: Slot-2 Question Paper
Q.2. TITA
Working alone, the times taken by Anu, Tanu and Manu to
complete any job are in the ratio 5 : 8 : 10. They accept a job which
they can finish in 4 days if they all work together for 8 hours per
day. However, Anu and Tanu work together for the first 6 days,
working 6 hours 40 minutes per day. Then, the number of hours
that Manu will take to complete the remaining job working alone is
6/3/2023 10:05 AM 2
CAT 2022: Slot-2 Question Paper
6
Q.3.TITA
6/3/2023 10:05 AM 3
CAT 2022: Slot-2 Question Paper
Regular polygons A and B have number of sides in the
ratio 1 : 2 and interior angles in the ratio 3 : 4. Then
the number of sides of B equals 10
Q.4.
If a and b are non-negative real numbers such
that a+2b=6, then the average of the
maximum and minimum possible values
of (a+b) is
A. 4
B. 4.5
C. 3.5
D. 3
6/3/2023 10:05 AM 4
CAT 2022: Slot-2 Question Paper
Q.5.
Manu earns Rs.4000 per month and wants to save an
average of Rs.550 per month in a year. In the first nine
months, his monthly expense was Rs.3500, and he
foresees that, tenth month onward, his monthly
expense will increase to Rs.3700. In order to meet his
yearly savings target, his monthly earnings, in rupees,
from the tenth month onward should be
A. 4200
B. 4400
C. 4300
D. 4350
6/3/2023 10:05 AM 5
CAT 2022: Slot-2 Question Paper
Q.6.
6/3/2023 10:05 AM 6
CAT 2022: Slot-2 Question Paper
There are two containers of the same volume, first
container half-filled with sugar syrup and the second
container half-filled with milk. Half the content of the
first container is transferred to the second container,
and then the half of this mixture is transferred back to
the first container. Next, half the content of the first
container is transferred back to the second container.
Then the ratio of sugar syrup and milk in the second
container is
A. 5 : 6
B. 5 : 4
C. 6 : 5
D. 4 : 5
Q.7.
On day one, there are 100 particles in a
laboratory experiment. On day n, where n≥2, one
out of every n particles produces another
particle. If the total number of particles in the
laboratory experiment increases to 1000 on
day m, then m equals
A. 19
B. 16
C. 17
D. 18
6/3/2023 10:05 AM 7
CAT 2022: Slot-2 Question Paper
Q.8.TITA
6/3/2023 10:05 AM 8
CAT 2022: Slot-2 Question Paper
14
Q.9.
6/3/2023 10:05 AM 9
CAT 2022: Slot-2 Question Paper
Q.10. TITA
6/3/2023 10:05 AM 10
CAT 2022: Slot-2 Question Paper
12
Q.11.
6/3/2023 10:05 AM 11
CAT 2022: Slot-2 Question Paper
In an election, there were four candidates and 80% of the
registered voters casted their votes. One of the candidates
received 30% of the casted votes while the other three
candidates received the remaining casted votes in the
proportion 1 : 2 : 3. If the winner of the election received 2512
votes more than the candidate with the second highest votes,
then the number of registered voters was
A. 40192
B. 60288
C. 50240
D. 62800
Q.12.
The number of integers greater than 2000 that can be formed
with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is
A. 1440
B. 1200
C. 1420
D. 1480
6/3/2023 10:05 AM 12
CAT 2022: Slot-2 Question Paper
Q.13.
For some natural number n, assume that (15,000)(15,000)! is divisible by (n!)!.
The largest possible value of n is
A. 5
B. 7
C. 4
D. 6
6/3/2023 10:05 AM 13
CAT 2022: Slot-2 Question Paper
Q.14. TITA
6/3/2023 10:05 AM 14
CAT 2022: Slot-2 Question Paper
47
Q.15. TITA
In an examination, there were 75 questions. 3 marks were awarded for
each correct answer, 1 mark was deducted for each wrong answer and 1
mark was awarded for each unattempted question. Rayan scored a total of
97 marks in the examination. If the number of unattempted questions was
higher than the number of attempted questions, then the maximum
number of correct answers that Rayan could have given in the examination
is
6/3/2023 10:05 AM 15
CAT 2022: Slot-2 Question Paper
24
Q.16.
Five students, including Amit, appear for an
examination in which possible marks are integers
between 0 and 50, both inclusive. The average marks
for all the students is 38 and exactly three students
got more than 32. If no two students got the same
marks and Amit got the least marks among the five
students, then the difference between the highest
and lowest possible marks of Amit is
A. 21
B. 24
C. 20
D. 22
6/3/2023 10:05 AM 16
CAT 2022: Slot-2 Question Paper
Q.17. TITA
6/3/2023 10:05 AM 17
CAT 2022: Slot-2 Question Paper
4
Q.18.
Mr. Pinto invests one-fifth of his capital at 6%, one-third at 10% and the
remaining at 1%, each rate being simple interest per annum. Then, the
minimum number of years required for the cumulative interest income
from these investments to equal or exceed his initial capital is
6/3/2023 10:05 AM 18
CAT 2022: Slot-2 Question Paper
20
Q.19.
6/3/2023 10:05 AM 19
CAT 2022: Slot-2 Question Paper
Q.20.
6/3/2023 10:05 AM 20
CAT 2022: Slot-2 Question Paper
Q.21.
The length of each side of an equilateral triangle ABC is 3 cm.
Let D be a point on BC such that the area of triangle ADC is
half the area of triangle ABD. Then the length of AD, in cm, is
A. √6
B. √5
C. √8
D. √7
6/3/2023 10:05 AM 21
CAT 2022: Slot-2 Question Paper
6/3/2023 10:05 AM 22
CAT 2022: Slot-2 Question Paper
Q.22.
Two ships meet mid-ocean, and then, one ship goes south and
the other ship goes west, both travelling at constant speeds.
Two hours later, they are 60 km apart. If the speed of one of
the ships is 6 km per hour more than the other one, then the
speed, in km per hour, of the slower ship is
A. 12
B. 18
C. 20
D. 24

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CAT 2022 SLOT-2 Question Paper.pptx

  • 1. Q.1. 6/3/2023 10:05 AM 1 CAT 2022: Slot-2 Question Paper
  • 2. Q.2. TITA Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However, Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is 6/3/2023 10:05 AM 2 CAT 2022: Slot-2 Question Paper 6
  • 3. Q.3.TITA 6/3/2023 10:05 AM 3 CAT 2022: Slot-2 Question Paper Regular polygons A and B have number of sides in the ratio 1 : 2 and interior angles in the ratio 3 : 4. Then the number of sides of B equals 10
  • 4. Q.4. If a and b are non-negative real numbers such that a+2b=6, then the average of the maximum and minimum possible values of (a+b) is A. 4 B. 4.5 C. 3.5 D. 3 6/3/2023 10:05 AM 4 CAT 2022: Slot-2 Question Paper
  • 5. Q.5. Manu earns Rs.4000 per month and wants to save an average of Rs.550 per month in a year. In the first nine months, his monthly expense was Rs.3500, and he foresees that, tenth month onward, his monthly expense will increase to Rs.3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be A. 4200 B. 4400 C. 4300 D. 4350 6/3/2023 10:05 AM 5 CAT 2022: Slot-2 Question Paper
  • 6. Q.6. 6/3/2023 10:05 AM 6 CAT 2022: Slot-2 Question Paper There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred back to the first container. Next, half the content of the first container is transferred back to the second container. Then the ratio of sugar syrup and milk in the second container is A. 5 : 6 B. 5 : 4 C. 6 : 5 D. 4 : 5
  • 7. Q.7. On day one, there are 100 particles in a laboratory experiment. On day n, where n≥2, one out of every n particles produces another particle. If the total number of particles in the laboratory experiment increases to 1000 on day m, then m equals A. 19 B. 16 C. 17 D. 18 6/3/2023 10:05 AM 7 CAT 2022: Slot-2 Question Paper
  • 8. Q.8.TITA 6/3/2023 10:05 AM 8 CAT 2022: Slot-2 Question Paper 14
  • 9. Q.9. 6/3/2023 10:05 AM 9 CAT 2022: Slot-2 Question Paper
  • 10. Q.10. TITA 6/3/2023 10:05 AM 10 CAT 2022: Slot-2 Question Paper 12
  • 11. Q.11. 6/3/2023 10:05 AM 11 CAT 2022: Slot-2 Question Paper In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was A. 40192 B. 60288 C. 50240 D. 62800
  • 12. Q.12. The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is A. 1440 B. 1200 C. 1420 D. 1480 6/3/2023 10:05 AM 12 CAT 2022: Slot-2 Question Paper
  • 13. Q.13. For some natural number n, assume that (15,000)(15,000)! is divisible by (n!)!. The largest possible value of n is A. 5 B. 7 C. 4 D. 6 6/3/2023 10:05 AM 13 CAT 2022: Slot-2 Question Paper
  • 14. Q.14. TITA 6/3/2023 10:05 AM 14 CAT 2022: Slot-2 Question Paper 47
  • 15. Q.15. TITA In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question. Rayan scored a total of 97 marks in the examination. If the number of unattempted questions was higher than the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is 6/3/2023 10:05 AM 15 CAT 2022: Slot-2 Question Paper 24
  • 16. Q.16. Five students, including Amit, appear for an examination in which possible marks are integers between 0 and 50, both inclusive. The average marks for all the students is 38 and exactly three students got more than 32. If no two students got the same marks and Amit got the least marks among the five students, then the difference between the highest and lowest possible marks of Amit is A. 21 B. 24 C. 20 D. 22 6/3/2023 10:05 AM 16 CAT 2022: Slot-2 Question Paper
  • 17. Q.17. TITA 6/3/2023 10:05 AM 17 CAT 2022: Slot-2 Question Paper 4
  • 18. Q.18. Mr. Pinto invests one-fifth of his capital at 6%, one-third at 10% and the remaining at 1%, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is 6/3/2023 10:05 AM 18 CAT 2022: Slot-2 Question Paper 20
  • 19. Q.19. 6/3/2023 10:05 AM 19 CAT 2022: Slot-2 Question Paper
  • 20. Q.20. 6/3/2023 10:05 AM 20 CAT 2022: Slot-2 Question Paper
  • 21. Q.21. The length of each side of an equilateral triangle ABC is 3 cm. Let D be a point on BC such that the area of triangle ADC is half the area of triangle ABD. Then the length of AD, in cm, is A. √6 B. √5 C. √8 D. √7 6/3/2023 10:05 AM 21 CAT 2022: Slot-2 Question Paper
  • 22. 6/3/2023 10:05 AM 22 CAT 2022: Slot-2 Question Paper Q.22. Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are 60 km apart. If the speed of one of the ships is 6 km per hour more than the other one, then the speed, in km per hour, of the slower ship is A. 12 B. 18 C. 20 D. 24