Engineering College Admission Test

MATH

Engineering College Admission Test

ECAT 2011

1.       The average value of an even function is 

        (-ve,+ve,infinite,none)

2.       The value of the equation x²-x+P should be greater than 3 when P=?

3.       Ax³-8x+b+6 is exactly divisible by x3+2x-3=0 then the value of a and b??

4.       X+2y+2=0 and x²+y²=4 meet at?

5.       Rank of A is related with ranks of A A^t

        (small,equal,same,none)

6.       Sum of series n=1 to infinity………………..1/5ⁿ=?

7.       After t second increase in volume is 5-2/t+1 then at t=3 rate of increase is?

8.       4x+1=2(7-2x) find solution

9.  If f(x)=2x/x=1 and x not equal to 1.Then composite function ff=f² is infinity    at(1,+1,+2,None)

10.   Find area of y=-1+(9/x²) when  3 >_x<_5

11.   Cos40+cos100+cos140=?

12.   Log_x5=4Log₅(x) find solution?

13.   Log₃(X-1) +Log₃(X+3)-Log(X+1)=1 find solution

14.  5 men,4 girls,not two girls stand together and then how many ways line can be      formed?

15.   5 membered committee to be formed from five couples then how many committee  can be  formed when men are greater than women?

16.   A is scalar,X is a column vector,Then AX is?

       ( Column vector,etc)