CMAT Averages, Ratio and Proportion questions

A and B started a business with investment of ₹ 4500 and ₹ 2700 respectively.
Find the share of profit of A in the total annual profit of ₹ 256.

Which of the following statements are true?
A. If $$x : y = 3 : 1$$ then $$x^{3} - y^{3} = \frac{10}{11}$$
B. If $$x = y + 12, x : y = 3:2$$ and $$z:y = 1:3$$, the $$z + x = 44$$
C. If $$3x = 8y$$ and $$5y = 9z$$, then $$\frac{x}{z} = \frac{72}{15}$$
Choose the most appropriate answer from the options given below:

Average of a, b and c is 11; average of c, d and e is 17; average of e and f is 22 and average of e and c is 17. What is the average of a, b, c, d, e and f?

Given below are two statements :
Statement I: The ratio of the son's age to the father's age is 1 : 5. The product of their ages is 245. The ratio of the son's age to the father's age after 9 years will be 3 : 5.
Statement II: A milkman adds 30 litres of water to 70 litres of milk. After selling 1/5th of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be 28 : 72.
In the light of the above statements, choose the correct answer from the options given below.

The cost of the three components A, B and C of an electronic machine worth ₹12,000 in 2020 is given as a Pie-chart as shown below :

In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was

If x > 0, then which of the following expressions are equal to 3.6% of $$\frac{5x}{12}$$?

A. 3 percent of 20x
B. x percent of $$\frac{3}{2}$$
C. 3x percent of 0.2
D. 0.05 percent of 3x
E. $$\frac{3x}{200}$$
Choose the correct answer from the options given below:

Let a, b and c be the ages of three persons P, Q and R respectively where a $$\leq$$ b $$\leq$$ c are natural numbers. If the average age of P, Q, R is 32 years and if the age of Q is exactly 6 years more than that of P, then what is the minimum possible value of c?

In a batch of 50 students has ratio of Boys to Girls as 4:6. Average marks of Girls are 60 and Average marks of the batch is 62. Average Marks of Boys will be:

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 :

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:

The following pie chart embodies the details about the per cent production by seven different companies A-G with the total production for all companies at 1500 units.

(A) Companies A & G are producing more than 500 units
(B) Companies B & F are producing less than 250 units
(C) Companies C & E account for 705 units
(D) Companies D & G are producing less than 200 units
(E) Companies E, F & G account for 545 units
Choose the correct answer from the options given below:

In a local election between two candidates, one candidate got 55% of the total valid votes and was declared as winner. 15% of the votes were invalid. If the total number of votes polled were 15200, what were the valid votes of the loser :

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?

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

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 :

In a company there are 252 engineers, in which the ratio of the number of electronics engineers and computer engineers is 2 : 1. The ratio of the number of electronics engineers and computer engineers becomes 1:1 after recruitment of some more computer engineers. The average age of all the engineers is now 22 years and the average age of the computer engineers is 2 years less than the average age of electronics engineers.

(A) The average age (in years) of electronics engineers is 21
(B) The average age (in years) of computer engineers is 21
(C) The average age (in years) of electronics engineers is 23
(D) The average age (in years) of electronics engineers is 25
(E) The average age (in years) of computer engineers is 23
Choose the correct answer from the options given below:

In a company, the average salary of the boys is Rs. 50000. The average salary of all the employees is Rs. 48000. There are 80 boys in the company and the average salary of the girl is Rs. 40000. What is the number of girls working in the company?

If $$A:B = C:D$$, then the value of $$\frac{A^{2}+B^{2}}{C^{2}+D^{2}}$$ is

In June-2020, the ratio of boys to girls in a college was 3 : 2. In September-2020, there were 80 fewer boys and 20 fewer girls in the college and the ratio of boys to girls was 7 : 5. What was the total number of students in the college in June-2020?

If a is $$\frac{3}{2}$$ times of b, b is $$\frac{3}{4}$$th of c and d is $$\frac{1}{4}$$th of c, the ratio of a and d is