Out of the three rational numbers,  

-6

9

 ,  

6

-12

  and  

-6

15

 , which is smaller?

A.	-6 15
B.	-6 9
C.	6 -12
D.	Rational numbers can not be compared

Factorize: @^ \begin{aligned} a^2 - b + ab - a \end{aligned} @^

A.	^@ (a + b) (a - 1) ^@
B.	^@ (a + b)^2 ^@
C.	^@ (a - b) (1 + a) ^@
D.	^@ (a - b) ^@

Find the resultant shape obtained by connecting the points (15, -25), (30, -5), (-10, -25) and (5, -5).

A.	Square
B.	Hexagon
C.	Rectangle
D.	Rhombus

In the graph of the linear equation ^@3x + 2y = 29^@, there is a point such that its ordinate is ^@3^@ less than its abscissa. Find coordinates of that point.

A.	^@(7, 4)^@
B.	^@(3, 6)^@
C.	^@(6, 3)^@
D.	^@(4, 7)^@

Find the measure of a+b.

A.	260°
B.	280°
C.	90°
D.	270°

If ^@AL, BM,^@ and ^@CN^@ are the medians of the ^@\triangle ABC,^@ then:

A.	^@(AB + BC + CA) < (AL + BM + CN)^@
B.	^@(AB + BC + CA) = (AL + BM + CN)^@
C.	^@(AB + BC + CA) > (AL + BM + CN)^@
D.	None of these

In the quadrilateral ABCD, AO and DO are the bisectors of ∠A and ∠D respectively. If ∠B = 70° and ∠C = 143° than ∠AOD is:

A.	116.5°
B.	106.5°
C.	95.5°
D.	213°

The area of a trapezium is 157.5 cm² and the distance between its parallel sides is 9 cm. If one of the parallel sides is of length 15 cm, find the length of the other side.

A.	40 cm
B.	20 cm
C.	10 cm
D.	18 cm

If O is center of the circle and ∠OAB = 45°, the measure of ∠ACB is:

A.	40°
B.	45°
C.	55°
D.	35°

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.	Anywhere in the circle
B.	On the circumference
C.	Center of the circle
D.	None of the above

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 6 cm, 7 cm and 5 cm. Find the area of the triangle.

A.	18 cm2
B.	18 √3   cm2
C.	108√3 cm2
D.	324 cm2

A sphere is just enclosed inside a right circular cylinder. If the volume of the gap between the cylinder and the sphere is 50 cm³, find the volume of the sphere.

A.	100 cm3
B.	50 cm3
C.	200 cm3
D.	125 cm3

A teacher measures the weight of ^@ 10 ^@ students of her class as follows (in kg)

^@44, 55, 42, 37, 53, 40, 46, 38, 36, \text{ and } 44^@

The median of their weight is:

A.	^@46^@
B.	^@39^@
C.	^@49^@
D.	^@43^@

A box contains 5 yellow and 3 green balls. Ruth takes out a ball, puts it back, and then takes out another ball. What is the probability that both balls were yellow?

A.	25 24
B.	25 64
C.	5 8
D.	5 64

^@\left( 33333 + \dfrac{ 1 } { 11111 } \right) \left( 33333 + \dfrac{ 1 } { 11111 } \right) - \left( 33333 - \dfrac{ 1 } { 11111 } \right) \left( 33333 - \dfrac{ 1 } { 11111 } \right) = \space ? \space\space\space\space\space^@

A.	^@ 11111 ^@
B.	^@ 3 ^@
C.	^@ 33333 ^@
D.	^@ 12 ^@

In a parallelogram ABCD, ∠A - ∠C is

A.	360°
B.	Can not be determined
C.	0°
D.	90°