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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.

Arithmetic - 2
Q1.

Given that {\left( {5x - 3} \right)^3} + {\left( {2x + 5} \right)^3} + 27{\left( {4 - 3x} \right)^3} = 9\left( {3 - 5x} \right)\left( {2x + 5} \right)\left( {3x - 4} \right)then find the value of (2x + 1) is ?

Arithmetic - 2
Q2.

The ratio between the speed of a Car and a Bike is 13 : 19 respectively. Also, a bus covered a distance of 780 kms in 13 hours. The speed of the bus is 5 - thirteenth the speed of the Car. How much distance will the Bike cover is 4 hours?

Speed of bus =  = 60

             \    Speed of Car = 60 ×  = 156

             Also, 13 º 156

                    1 º 12

             Bike = 19 × 12 = 228

             \    Distance covered by Bike in 4 hours.

                    = 228 × 4 = 912 km