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1600 CAT Questions, 300 Video Solutions and 41 Topic Wise Tests

CAT Algebra questions from Linear equations and Quadratic equations that appear in the Quantitative Aptitude section of the CAT Exam consists of concepts from Equations and Algebra. Get as much practice as you can in these two topics because the benefits of being good at framing equations can be enormous and useful in other CAT topics as well. In CAT Exam, one can generally expect to get 1~2 questions from Linear Equations and Quadratic Equations. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

Algebra
Q1.

In the following questions, two equations numbered I and II are given. You have to solve both the equations and Give Answer If

a) If x > y                    b) If x ≥ y                    c) If x < y                    d) If x ≤ y

e) If x = y or no relation can be established between ‘x’ and ‘y’.

I) 2x215x+13=0

II) 5y223y+24=0

: min

I) 2x215x+13=0

2x22x13x+13=0

(2x13)(x1)=0

x=1 or  = 1, 6.5

II) 5y223y+24=0

5y215y8y+24=0

(y3)(5y8)=0

y=3, 1.6

Hence the relationship cannot be determined.

Algebra
Q2.

In each of the following questions, two equations are given. You have to solve both the equations to find the relation between x and y.

I: 4x2 – 15x + 14 = 0

II: 4x2 – 29x + 45 = 0

: min