Mathematics Tes...

Let f be a function satisfying f(xy) = f(x)/y for all positive real numbers. If f(500) = 3, then what is the value of f(600)?

If z = , then

The sum of the cubes of three consecutive natural numbers is divisible by

What is the sum of the series 1.2.3 + 2.3.4 + 3.4.5 + ……. up to n terms?

Let f(x) = . If f(x) is continuous in , then is

The locus of the mid-points of the focal chords of the parabola is another parabola with which of the following equations?

In a binomial distribution, mean is 18 and variance is 12 then p = . . . . . .

The particular solution of the differential equation log(dy/dx) = x, when x = 0, y = 1 is ...

If the function

is continuous at x = 0. then k = ...

The maximum value of z = 6x + 8y subject to x - y   ≥0, x + 3y ≤12, x ≥0, y ≥0 is.....

If p and q are true and r and s are false statements, then which of the following is true?

If f( x) = (x), where (x) is the greatest integer not greater than x, then f’(1) = ...

If A = |x| x ∈N, x is a prime number less than |12| and B = |x | x ∈N, x is a factor of 10). then A ∩B = ...

If A, B, C and D are (3, 7, 4), (5, -2, 3), (-4, 5, 6) and (1, 2, 3) respectively, then the volume of the parallelepiped with AB, AC and AD as the coterminous edges, is ....... cubic units.

If then p = ...

Equations of planes parallel to the plane x - 2y + 2z + 4 = 0 which are at a distance of one unit from the point (1, 2, 3) are ............