Is variable x in x² = 2.5 represents a rational or an irrational number?

A.	Rational
B.	Irrational
C.
D.

Factorize: @^ \begin{aligned} x(x - 1) - y(y - 1) \end{aligned} @^

A.	^@ (x - y) ( x + y - 1 ) ^@
B.	^@ (x - y) ( x - y ) ^@
C.	^@ (x - y) ( x - y - 1 ) ^@
D.	^@ (x - y) ( x + y ) ^@

Identify the points P(0, 12), Q(12, 0), R(6, 0) and S(0, 4) lie on the x-axis.

A.	R and S
B.	Q and R
C.	Q and P
D.	P and S

if ^@x = \dfrac { 5 y - 2 }{ 3 }^@, then find ^@y^@ in terms of ^@x^@.

A.	^@\dfrac { 5 x - 2 }{ 2 }^@
B.	^@\dfrac { 5 x - 2 }{ 3 }^@
C.	^@ \dfrac { 3x + 2 } { 5 }^@
D.	^@\dfrac { 5 x - 3 }{ 2 }^@

A ship is sailing in the North-West direction. If it changes its direction towards the South on moving anticlockwise from its present position then by what angle will it turn?

A.	135°
B.	225°
C.	90°
D.	180°

In the given figure ^@BD = CE^@, then ^@AB = \space ?^@

A.	AC
B.	BC
C.	None of these
D.

In the quadrilateral ABCD, AO and DO are the bisectors of ∠A and ∠D respectively. If ∠B = 87° and ∠C = 154° than ∠AOD is:

A.	108.5°
B.	132.5°
C.	241°
D.	120.5°

The area of a trapezium is 150 cm² and the distance between its parallel sides is 10 cm. If one of the parallel sides is of length 12 cm, find the length of the other side.

A.	36 cm
B.	16 cm
C.	18 cm
D.	9 cm

Two circles of radii 13 cm and 12 cm intersect at two points and the distance between their centres is 5 cm. Find the length of the common chord.

A.	23 cm
B.	24 cm
C.	26 cm
D.	27 cm

To construct an angle of ^@ 45^\circ, ^@ we bisect:

A.	^@ 97.5^\circ ^@
B.	^@ 105^\circ ^@
C.	^@ 90^\circ ^@
D.	^@ 120^\circ ^@

The sides of a quadrilateral, taken in order are ^@ 14 \space cm, 13 \space cm, 12 \space cm,^@ and ^@9 \space cm^@ respectively. The angle contained by the last two sides is a right angle. Find the area of the quadrilateral.

A.	^@138 \space cm^2^@
B.	^@276 \space cm^2^@
C.	^@193.2 \space cm^2^@
D.	^@84 \space cm^2^@

If surface area of a cube is 150 cm², find its volume.

A.	125 cm3
B.	120 cm3
C.	130 cm3
D.	135 cm3

The mean of ^@ 10^@ numbers is ^@ 81 ^@. If ^@ 7 ^@ is subtracted from each number, what will be the new mean?

A.	^@ 84 ^@
B.	^@ 82 ^@
C.	^@ 74 ^@
D.	^@ 64 ^@

Michelle selects 3 numbers randomly from the following set of 5 numbers 8, 10, 2, 7 and 9.
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  

7	22
	23

 ?

A.	12 36
B.	24 36
C.	24 30
D.	18 30

How many times do a clock's hour, minute and second hands overlap in a day?

A.	1
B.	2
C.	12
D.	6

A cone completely made of metal (i.e. it is not hollow) has a base radius of 14 cm, and height of 7 cm. If we melt it and recast it into a sphere, what will be the radius of the sphere?

A.	3.5 cm
B.	14 cm
C.	9 cm
D.	7 cm