Test Level 3: Averages - 2 Solved MCQs CAT
MCQ Practice Test & Solutions: Test Level 3: Averages - 2 (10 Questions)
You can prepare effectively for CAT Level-wise Tests for CAT with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test Level 3: Averages - 2". These 10 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 20 minutes
- - Number of Questions: 10
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Read the following and answer the questions that follow.
If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to
A, then after this operation (Assume that the set transferred from B to A contains none from the set of students that
came to B from A)
What will happen to B’s average?
If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to
A, then after this operation (Assume that the set transferred from B to A contains none from the set of students that
came to B from A)
Detailed Solution: Question 1
Read the following and answer the questions that follow.
If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to
A, then after this operation (Assume that the set transferred from B to A contains none from the set of students that
came to A from B)
At the end of the 2 steps mentioned above (in the direction) what could be the maximum value of the average of class B?
If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to
A, then after this operation (Assume that the set transferred from B to A contains none from the set of students that
came to A from B)
Detailed Solution: Question 2
Read the following and answer the questions that follow.
If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to
A, then after this operation (Assume that the set transferred from B to A contains none from the set of students that
came to B from A)
Q. What can be said about A’s average?
If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to
A, then after this operation (Assume that the set transferred from B to A contains none from the set of students that
came to B from A)
Detailed Solution: Question 3
Read the following:
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
If five students are transferred from A to B.
Q. What will happen to the average score of A?
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
Detailed Solution: Question 4
Read the following:
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
If five students are transferred from A to B.
Q. What will happen to the average score of A?
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
Detailed Solution: Question 5
Read the following:
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
If five students are transferred from A to B.
Q. Which of these can be said about the average score of B?
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
Detailed Solution: Question 6
Read the following:
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
If five students are transferred from A to B.
Q. What will happen to the average score of B?
There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20,
25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:
A → Highest score 22, Lowest score 18
B → Highest score 31, Lowest score 23
C → Highest score 33, Lowest score 26
Detailed Solution: Question 7
Read the following and answer the questions that follows.
In the island of Hoola Boola Moola, the inhabitants have a strange process of calculating their average incomes and expenditures. According to an old legend prevalent on that island, the average monthly income had to be calculated on the basis of 14 months in a calendar year while the average monthly expenditure was to be calculated on the basis of 9 months per year. This would lead to people having an underestimation of their savings since there would be an underestimation of the income and an overestimation of the expenditure per month.
If the minister for economic affairs decided to reverse the process of calculation of average income and average expenditure, what will happen to the estimated savings of a person living on Hoola Boola Moola island?
In the island of Hoola Boola Moola, the inhabitants have a strange process of calculating their average incomes and expenditures. According to an old legend prevalent on that island, the average monthly income had to be calculated on the basis of 14 months in a calendar year while the average monthly expenditure was to be calculated on the basis of 9 months per year. This would lead to people having an underestimation of their savings since there would be an underestimation of the income and an overestimation of the expenditure per month.
Detailed Solution: Question 8
Read the following and answer the questions that follow.
If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
What is the maximum possible average achieved by class C?
If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
Detailed Solution: Question 9
Read the following and answer the questions that follow.
If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
Q. What is the maximum possible average of class B?
If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
Detailed Solution: Question 10
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