SPSC Lecture Mathematics Past Paper

The order of differential equation x²dy + y²dx = 0 is?

1. 3
2. 2
3. 1
4. None

Change the Voice "Lion does not eat grass, however hungry he may be"?

1. Grass is not eaten by a lion, however hungry he may be
2. Grass was being not eaten by a lion, however hungry he may be
3. Grass is eaten not by a lion, however hungry he may be
4. Grass is not being eaten by a lion, however hungry he may be

If one of the roots of the equation x^3−6x^2+11x−6=0 is 2, then the other two roots are?

1. 1 and 3
2. 0 and 4
3. -1 and 5
4. -2 and 6

In the three dimensions the equation x^2 - y^2 = a^2 represents?

1. A pair of straight line
2. A hyperbola
3. A cylinder
4. A cone

{1, i, -i, -1} is _____?

1. Semi group
2. Subgroup
3. Cyclic group
4. Abelian group

A homogeneous differential equation of the form M(x, y) dx + N(x, y) dy = 0 can be reduced to a differential equation with separated variables by using the substitution?

1. y = vx, dy = vdx + xdv
2. x + y = v, dy = dx + dy
3. v = x - y, dy = dx - dy
4. x + y = y, dy = dx + xdy

The mode of the numbers 7, 7, 7, 9, 10, 11, 11, 11, 12 is?

1. 11
2. 12
3. 7
4. 7 and 11

What is the area of the region bounded by the coordinate axes and the line tangent to the graph of y= 1/8x^2 +1/2x + 1 at the point (0,1)?

1. 1/2
2. 1
3. 2
4. 4

I hope everyone _____ learned something from this.

1. Had
2. Have
3. Has
4. Has to

Select the pair of words which are related in the same manner as the given words are related to each other: BIGOTRY : HATRED::?

1. Sweetness : bitterness
2. Sugar : Wheat
3. Fanaticism : Intolerance
4. Good : bed