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 3x = 6 + 2y 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 (x1)3 is a factor of x4+ax3bx2+cx1 = 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  5x (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
