1	If | y |≥5 and x = −( y 5 )| k | , then which one of the following is n... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations Inequations
2	x + y = 8 and P=5 x 2  + 11 y 2 , where x, y≥0 . W... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations
3	The roots of the equation x 2  −x( a+b )+ab− b 2 =0 (where a & b ar... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations
4	Find the range of p such that one root of the equation x 2 −8x+p lies between 0 and 1. ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations
5	What should be the value of k, for the following equations to be consistent?  5x – 2y = ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
6	If α and β  are the roots of the  equation, 2x2 –3x –6 =0... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Quadratic Equations
7	How many consistent independent equations are needed to solve for n unknown variables? CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
8	A test has twenty questions worth 100 points.  The test consists of True/False questions worth ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
9	Let f(x)=a x 2 +bx+c , where a, b and c are Real numbers, where ‘a’ is not equal to ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Quadratic Equations
10	Find the value of x and y when the solution of the following equations is given by ( 3x-y+1)/3... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
11	The sum of a number x and its reciprocal is 8/15 less than thrice the sum of another number y and th... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
12	2x = 4y = 8z and xyz = 288, then the value of 1/2x + 1/4y + 1/8z is ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
13	If α, β be the roots of the quadratic equation x 2  − 5x +&nbsp... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations
14	Find the number of non-negative integral solutions of 3x + 10y = 200. Type in your answer as an int... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
15	Solve the following set of linear equations in two variables 10/(x  + y) + 2/(x - y) = 4 15/(... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
16	Which of the following inequalities has a solution set that when graphed on the number line, is a si... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations
17	For how many values of b is the following set of equations inconsistent 4x + 6y = 14 2x + by = 7 ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
18	If the difference between roots of the equation x 2 +ax+1=0 is less than 5,then find the set... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Quadratic Equations
19	On a fence, there are sparrows and pigeons. When five sparrows leave, there remain two pigeons for e... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations
20	If c is positive and 2a x 2 +3bx+5c=0 doesn’t have any real root, then ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Quadratic Equations
21	The sum of all the real roots of the equation | x−2 | 2 + |  x−2 |&minu... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations
22	Given the value of a1, b1, c1, a2, b2, c2 ≠ 0 and the following 2 linear equations,  can the... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Linear Equations
23	Find the value of a for which 4 t −(a−4) 2 t +(9/4)a<0 where ‘t’ be... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Quadratic Equations
24	If x2– x – 6 < 0,  -x2+ 6x – 5 > 0 and x2– 10x + 16 < 0, then ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Quadratic Equations Inequations
25	Find the values of parameter ‘a’ such that the roots α and  β of th... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Quadratic Equations
26	The real values of 'a' for which the quadratic equation 2x2 – (a3 + 8a -1)x +a2 &ndash... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations Applications of Linear and Quadratic Equations
27	If a and b are roots of equation 3 x 2 +5x+k=0 , a 2  − b 2  =25&nbsp... CAT Quantitative Ability Algebra Equations and Polynomials Equations Linear and Quadratic Equations