1	If [x] is the greatest integer function less than or equal to x then ,  [  500 1 5 ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions
2	The value of lo g  10  1 + lo g 10  10 + lo g 10  10... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions Logarithms
3	Find the value of C0 + C2 + C4 +... in the expansion of (1+x)8. Type in your answer ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Algebraic Identities Binomial Theorem
4	Find the sum of all the coefficients in the expansion of (x2+2x)20 CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Algebraic Identities Binomial Theorem
5	Find the combined area of the 2 quadrilaterals formed by the intersection of |x| + |5y| = 15 and 7 =... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions Modulus Graphs of Functions
6	The maximum value of ( 3−x ) 3 ( 2−x ) 4  when ( ( 2<x<3 ) ) ... CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
7	A quadratic function f( x ) attains a max of 3 at x=1 , the value of the function at x=0 is ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Graphs of Functions Maxima and Minima
8	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
9	Find the area bounded by the curves 30 = |10x| - |y| and 20 = |4y| - 5|x| (in sq. units) Type in yo... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions Modulus Graphs of Functions
10	Simplify ( 8.73*8.73*8.73 )+( 4.27*4.27*4.27 ) ( 8.73*8.73 )−( 8.73*4.27 )+( 4.27*... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Algebraic Identities
11	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
12	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
13	Find a and b such that (x + 1) and (x + 2) are factors of the polynomial x 3 +a ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Operations on Polynomials
14	If log 3 2 , log 3 ( 2 x −5) and log 3 ( 2 x −7/2) are in AP, then fi... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions Logarithms Sequences and Series AP, GP AP
15	If x and y are positive real numbers such that 12xy +21x+20y=46 , find the minimum value of ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Graphs of Functions Maxima and Minima
16	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
17	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
18	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
19	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
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	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
22	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
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	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
25	Which of the following graphs represents the quadratic function f(x) = - x2 + 4x -4 ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Graphs of Functions Identification of Graphs
26	What is the minimum value of sum of the squares of  the roots of the equation  x 2 &min... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Graphs of Functions Maxima and Minima
27	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
28	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
29	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
30	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
31	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
32	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
33	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
34	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
35	F(x) is a fourth order polynomial with integer coefficients and with no common factor. The root... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions
36	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
37	Find the area bounded by the curves 3|-x| = 6 + 2|y| and |y| = 3 (in sq. units) Type in your answer... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions Modulus Graphs of Functions
38	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
39	If (x-1)3 is a factor of x4+ax3-bx2+cx-1 = 0, then find the other factor. ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Operations on Polynomials
40	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
41	a2n - b2n , for any positive integral values of n, is always divisible by ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Algebraic Identities
42	Solve x4 + 4x3 -12x2 <= 0 CAT Quantitative Ability Algebra Equations and Polynomials Equations Inequations
43	How many pairs of integer (p, q) are possible such that p2 – q2 = 288? ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Operations on Polynomials
44	x4 – px3 + qx2 – rx + 8 = 0 divided by x + 1 leaves a remainder of 3... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Operations on Polynomials
45	What is the remainder when the given polynomial p(x) is divided by x? Type in your answer as an i... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Graphs of Functions
46	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
47	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
48	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
49	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
50	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
51	What is the area enclosed by the curve | x+4 |+| y−2 |=4  (in sq. units)? Type in y... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions
52	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
53	If a, b, and c are odd integers, then the roots of ax2+bx+c = 0 cannot be: A) Ration... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Polynomials Algebraic Identities
54	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
55	For graph of f(x)= 1 x−4 , what is the value of x for which f(x) reaches infinity? ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Special Functions
56	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
57	A quadratic function attains minimum value of –25 at x=1 . If f( 0 )=–24 , what is ... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Graphs of Functions Maxima and Minima
58	Let a+b+c=1 . Find the minimum value of ( 1 a −1)( 1 b −1)( 1 c −1). Type... CAT Quantitative Ability Algebra Equations and Polynomials Polynomials, Functions and Graphs Graphs of Functions Maxima and Minima
59	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