MAH-CET 2021 || PYPQ - QA - DI || 23.02.2021 for CAT & MBA Exams

Question 1

Direction: Solve the following question and mark the best possible option.

12 men can complete a piece of work in 36 days, 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required?

Question 2

Direction: Solve the following question and mark the best possible option.

A right circular cone of maximum size, was carved out from a right circular cylinder (keeping the height and the radius as same as that of the cylinder). The difference between the volumes of the cylinder and the conical structure was 4928 cm³. If the respective ratio between the height and radius is 6 : 7, then what is the height of the cylinder?

Question 3

Direction: Solve the following question and mark the best possible option.

Had Aparup been 12 years younger, his age would have been sum of his one son's and one daughter's age. Had Aparup been 2 years elder, his age would have been 26 years more than his son's present age. If Aparup's present age is four times of his daughter's present age, what will be his son's age 2 years hence? (in years)

Question 4

Direction: Solve the following question and mark the best possible option.

If two cards are drawn at random from a deck of 52 cards, one after the other without replacement, what is the probability that one is even numbered card of black colour and the other is a face card of red colour?

Question 5

What is the total number of students in Class XII?

Statement A: Average marks of the students of class XII is 24.

Statement B: Number of students who passed class XII were 20.

Question 6

Direction: The question below is followed by two statements marked I and II. Mark as your answer.

What is the volume of the cylindrical tank?

Statement A: Diameter of the base is equal to the height of the tank.

Statement B: Height of the tank is 20 m.

Question 7

Direction: The question below is followed by two statements marked I and II. Mark as your answer.

What is the surface area (in m²) of the cuboid?

Statement A: Each dimension (in meters) of the cuboid is an integer less than 23. The volume of the cuboid is 154 m³.

Statement B: The length of the cuboid is 7 m.

Question 8

Direction: The question below is followed by two statements marked I and II. Mark as your answer.

If A and B are integers, is the value of A equal to the value of B?

Statement A: The value of (A – 18)³ is equal to the value of (B – 18)³.

Statement B: The value of (A – 42)² is equal to the value of (B – 42)².

Question 9

A, B and C started a business with a total investment of Rs. 21,400. What is the total annual profit earned by them?

Statement A: B earned a profit of Rs. 11,200. Had B invested Rs. 3000 more and C invested Rs. 3000 less, B's share of annual profit would have been Rs. 15,200.

Statement B: B invested Rs. 8400.

Question 10

Direction: Study the given information carefully to answer the following questions.

The following data represents the number of students from 2 Schools i.e., A and B who took their Class-10 and Class-12 exams.

School A: 90 students indulged in malpractice in their Class-12 exams, which was 10% of the total number of students who appeared in exam from both the classes together. Number of students who appeared in their Class-12 exams was 180 more than those who appeared in their Class-10 exams.

School B: Number of students who appeared in their Class-12 exams was 40 more than those who appeared in their Class-10 exams from School-A. 11% of the total number of students (Class-10 and Class-12 together) indulged in malpractice. 85 students, who appeared for their Class-12 exams indulged in malpractice which was 70% more than the number of students from School-A who indulged in malpractice in their Class-10 exams.

A total of 1900 students appeared in Class-10 and Class-12 exams from both the schools together.

NOTE: Number of students who appeared for an exam = Number of students who indulged in malpractice + Number of students who did not indulge in malpractice

Out of the number of students who appeared in their Class-10 exams from School A and B together, If 190 and 280 students respectively were females, then what was the total number of male students appearing for their Class-10 exams from both the school together?