If 'm' is an irrational number than 'nm' is _______________ where 'n' is an integer.

A.	a rational number
B.	a rational or an irrational number
C.	whole number
D.	an irrational number

If $f(x) = 2x^2 - 2 \sqrt2x + 4$, find the value of $f( \sqrt2)$.

A.	11
B.	4
C.	6
D.	-3

For the points $A(27, 23),$ $B(11, 27),$ and $C(21, 27)$ , find the value of $(\text{abscissa } B)$$\times (\text{abscissa } A)$$\div (\text{abscissa } C)$.

A.	$23.14$
B.	$18.14$
C.	$12.14$
D.	$14.14$

If solutions of a linear equation are (-9, 9), (0, 0) and (9, -9), find the equation.

A.	x - y = 0
B.	x + y = 0
C.	x -9y = 0
D.	-9x + y = 0

If AB and CD are parallel, find the value of x+y.

A.	85°
B.	65°
C.	95°
D.	105°

If $AB$ and $CD$ are perpendicular to $BC$ and $AB = CD$, then $EB =$?

A.	$EA$
B.	$ED$
C.	$EC$
D.	$\text{None of these}$

$ABCD$ is a parallelogram where $P$ and $R$ are the midpoints of sides $BC$ and $DC$ respectively. If the line $PR$ intersects the diagonal $AC$ at $Q$, then $AC = ?$.

A.	$2CQ$
B.	$3CQ$
C.	$4CQ$
D.	$\dfrac { AB + BC } { 2 }$

In the rhombus, ∠PRS = 3X - 230° and ∠QSP = 2X - 10°. Find the value of X.

A.	132°
B.	66°
C.	76°
D.	56°

If ∠DAB = 78° and ∠ABD = 62°, find the value of ∠ACB.

A.	30°
B.	40°
C.	45°
D.	50°

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

A.	On chord $AB$
B.	Anywhere in the circle
C.	Center of the circle
D.	None of the above

Find the area of a trapezium, if its height is 9 cm and the lengths of parallel sides are 14 cm and 20 cm.

A.	183.6 cm2
B.	306 cm2
C.	2520 cm2
D.	153 cm2

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

A.	4:9
B.	9:4
C.	3:4
D.	4:3

While doing a science experiment in the physics lab, Elizabeth took 4 measurements of the temperature and wrote the average of those as an answer. If the measurements of the temperature are -1, 1, -1 and -1 then what is the final answer of her experiment?

A.	1.5
B.	-0.5
C.	0.5
D.	2.5

Karen selects 3 numbers randomly from the following set of 5 numbers 8, 3, 13, 4 and 5.
She puts them in the form of a proper fraction of the type  

a	b
	c

 .
What is the probability that you will get a fraction greater than  

5	21
	22

 ?

A.	18 36
B.	12 30
C.	18 30
D.	6 30

A cube is painted with green colour on its all six faces. If this cube is cut into equal $125$ small cubes, how many small cubes will have no face coloured?

A.	$27$
B.	$25$
C.	$5$
D.	$1$

If 'm' is an irrational number than 'nm' is _______________ where 'n' is an integer.

A.	an irrational number
B.	a rational number
C.	neither rational or irrational number
D.	integer