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 ...
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 ( 3xy+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 + ...
CAT
Quantitative Ability
Algebra
Equations and Polynomials
Equations
Linear and Quadratic Equations

20 
Find the number of nonnegative 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 inequations 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
