1	The maximum value of ( 3−x ) 3 ( 2−x ) 4  when ( ( 2<x<3 ) ) ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
2	If x is any integer from -6 to 2 inclusive, how many values of x satisfy the following inequation:... CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
3	If  2x+3y=10 , then the maximum value of x 2 y 3 is ( x, y>0 ) ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
4	How many positive integer values can x take that satisfy the inequality (x - 8) (x - 10) (x - 12)...... CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
5	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
6	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
7	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
8	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
9	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
10	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
11	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
12	Solve x4 + 4x3 -12x2 <= 0 CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
13	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
14	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
15	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
16	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
17	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
18	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
19	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
20	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
21	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
22	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
23	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
24	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
25	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
26	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
27	Find the number of solutions when the following two in-equations are satisfied: y = 6x2 - 13x + 6&nb... CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
28	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
29	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
30	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
31	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
32	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
33	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
34	If the roots of the equation a x 3 +b x 2 +cx+d=0  are in geometric progression, then whic... CAT Quantitative Ability Algebra Equations and Polynomials Equations