CMAT 2022

Instructions

For the following questions answer them individually

Question 11

The average age of three friends is 20 years and their ages are in the proportion 2:3:5, the age of the oldest friend is :

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Question 12

Match List I with List II. The following table embodies the details about the enrollment of students in five different activities namely Swimming, Singing, Drawing, Dancing and Handicraft in a School during the session 2020-21. A total number of 3000 students including 1750 girls have been enrolled in various activities in the school. Based on the data in the table, match the following :

Activity-wise Enrollment of Students

Choose the correct answer from the options given below:

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Question 13

If a 30 meter ladder is placed against a wall such that it just reaches the top of the wall, if the horizontal distance between the wall and the base of the ladder is 1/3rd of the length of ladder, then the height of wall is :

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Instructions

Consider the following table that shows the percentage (%) distribution of workforce of India and ratio of male to female workforce of India in different employment sectors during a given year. Total workforce in all the sectors put together is 60 lakhs. Based on the data contained in the table, answer the question :

Sector-wise Distribution of Workforce of India

Question 14

The number of male workforce in SA and MA sectors put together is approximately what percent of the total number of workforce in PT sector?

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Question 15

The number of female workforce in SE and PR sectors put together is what percent of the number of male workforce in CM sector?

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Question 16

The difference in the number of female workforce in SA and MA sectors put together and the number of female workforce in PT sector is :

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Instructions

For the following questions answer them individually

Question 17

one pipe can fill a tank three times as fast as another pipe. If the two pipes together can fill the tank in 36 minutes, then the slower pipe will take how much time to fill the tank alone?

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Question 18

A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one after another. What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?

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Question 19

Given below are two statements:

Statement I : The set of numbers (7,8,9,a,b,10,8,7) has an arithmetic mean of 9 and mode(most frequently occurring number) as 8, Then a x b = 120.
Statement II : Let a and b be two positive integers such that a + b + a x b = 84, then a + b =20.
In the light of the above statements, choose the most appropriate answer from the options given below

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Question 20

If (x + y) = 3, xy = 2, then what is the value of $$x^3+y^3$$:

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