CAT4MBA

^{1) If the roots of the equation x^2-2ax+a^2+a-3=0 are less than 3 then; a is
a) smaller than 2   b)  in between 2 nad 3  c) in between 3 and 4  d) larger than 4}

2)The number of solution of log 4 (x-1) = log2 (x-3) is
a) 2   b)  1    c)  3    d)  10

3)The number of real solution of the equation (6-x)/(x^2-4)= 2+x/(x+2) is
a) 2   b)  1   c) 0   d) NOT

4)The two roots of the quadartic equation ax^2+bx+c=0 are both two digits integer with the same unit digits but D/a^2 is not a multiple of 100.Which of the following is possible value of the unit digit of b/2a?
a) 4   b)  5   c)   6   d)   7

5)The polynomial (ax^2+bx+c)(ax^2-dx-c) ,ac is not equal to 0,has
a) 4 real roots    b)  atleast 2 real zeos   c) at most 2 real zeros   d) no real zeros

6)The number of real solution of 1+mod(e^x-1)=e^x(e^x-2) is
a)0   b)  1    c)  2   d)  4

7) The equation sqrt(x+1) -sqrt (x-1) =sqrt(4x-1)
a) No solution   b) one solution   c)  two solution  d)  more than 2 solution
8) If s=2+2^(1/3) +2^(2/3); then what is the value of s^3-6s^2+6s?