If  

6

-8

  =  

-24

X

 , then X = ______.

A.	32
B.	24
C.	-32
D.	None of these

Expand: $$(3 p + 6 q - 8 r )^2$$

A.	$9 p^2 + 36 q^2 + 64 r^2 - 36 pq - 96q r + 48 r p$
B.	$9 p^2 - 36 q^2 + 64 r^2 - 36 pq - 96q r - 48 r p$
C.	$9 p^2 + 36 q^2 + 64 r^2 + 36 pq - 96q r - 48 r p$
D.	$9 p^2 - 36 q^2 - 64 r^2 - 36 pq - 96q r + 48 r p$

The point in which the abscissa and the ordinate have different signs will lie in:

A.	Third or Fourth quadrant
B.	First or Second quadrant
C.	Second or Fourth quadrant
D.	First or Third quadrant

The positive solutions of the equation ux + vy + w = 0 always lie in,

A.	First quadrant
B.	Second quadrant
C.	Fourth quadrant
D.	Third quadrant

Compute the measure of ∠p.

A.	57°
B.	52°
C.	42°
D.	47°

The length of $PQ$ in the given figure is:

A.	$14 \space cm$
B.	$24 \space cm$
C.	$21 \space cm$
D.	$15 \space cm$

In the given figure, points $M$ and $N$ divide the side $AB$ of $\Delta ABC$ into three equal parts. Line segments $MP$ and $NQ$ are both parallel to $BC$ and meet $AC$ in $P$ and $Q$ respectively. The length of $AC$ is equal to:

A.	$3AQ$
B.	$2PC$
C.	$3AP$
D.	$3BC$

In the rhombus, ∠PRS = 7X - 558° and ∠QSP = 2X - 18°. Find the value of X.

A.	148°
B.	74°
C.	92°
D.	56°

If ∠BAD = 100° and ∠ACB = 60°, find angle ∠ABD.

A.	30°
B.	15°
C.	25°
D.	20°

Draw a circle with its two chords $PQ$ and $RS$ such that $PQ$ is not parallel to $RS$. Draw the perpendicular bisector of $PQ$ and $RS$. At what point do they intersect each other.

A.	Anywhere in the circle
B.	Center of the circle
C.	Anywhere but the center
D.	None of the above

Which triangle has the maximum area for a given perimeter :

A.	Obtuse Angle Triangle
B.	Isoceles Triangle
C.	Can not be determined
D.	Equilateral Triangle

A sphere and a right circular cylinder have the same radius. If the volume of the sphere is one fifth of the volume of the cylinder, what is the ratio of the height of the cylinder to its radius?

A.	3:20
B.	20:3
C.	4:3
D.	3:4

In an office, the age of the employees is as follows:
55 , 34 , 31 , 34 , 25 , 49 , 42 , 36 , 34 , 46 , 32.
Find the average of their ages?

A.	33
B.	35
C.	41
D.	38

Two dice are rolled. What is the probability that the two numbers add up to a prime number?

A.	19 36
B.	20 36
C.	15 36
D.	5 36

How many cycles, as shown below, will be there in the 14^th Pattern?

Pattern 1	Pattern 2	Pattern 3

A.	226
B.	230
C.	224
D.	222

If AB and DE are parallel, find the value of ∠ACB.

A.	113°
B.	119°
C.	123°
D.	118°