# CMAT Linear Equations questions

## CMAT 2023 Linear Equations questions

#### Question 1

If $$x - \frac{1}{x} = y, y - \frac{1}{y} = z, z - \frac{1}{z} = x$$, there which of the following equations are true?
A. $$\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0$$
B. $$\frac{1}{x^{2}} + \frac{1}{y^{2}} + \frac{1}{z^{2}} = 8$$
C. $$\frac{1}{xy} + \frac{1}{yz} + \frac{1}{zx} = -3$$
Choose the correct answer from the options given below:

## CMAT 2021 Linear Equations questions

#### Question 1

The price of an apple is twice that of an orange. The price of an orange is thrice that of a banana.If the price of an apple increases by 10%, price of an orange increases by 30% and the price of a banana increases by 20%. Find the percentage increase in the price of 20 apples, 20 oranges and 20 bananas.

## CMAT 2019 Linear Equations questions

#### Question 1

The sum of three consecutive odd numbers is 20 more than the first number. What is the middle number ?

#### Question 2

Two oranges, three bananas and four apples cost Rs. 15. Three oranges, two bananas and one apple cost Rs. 10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay ?

## CMAT 2018 Linear Equations questions

#### Question 1

If AB + C = D, find A and C given that when B = 6, D = 30 and when B = 8, D = 36.