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 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
5	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
6	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
7	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
8	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
9	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
10	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
11	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
12	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
13	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
14	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
15	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
16	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
17	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
18	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
19	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
20	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
21	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
22	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
23	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
24	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
25	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