What should be added to ^@\dfrac{ 9 }{ 10 }^@ to get ^@\dfrac{ -9 }{ 20 }^@?

A.	^@\dfrac{ -27 }{ 20 }^@
B.	^@\dfrac{ -23 }{ 20 }^@
C.	^@\dfrac{ -23 }{ 25 }^@
D.	^@\dfrac{ -27}{ 25 }^@

Find the degree of ^@ t^{ 12 } -15 t^{ 8 } + t^{ 10 } - 42 \space ? ^@

A.	^@ 11 ^@
B.	^@ 10 ^@
C.	^@ 12 ^@
D.	^@ 8 ^@

Which of the following is true about the coordinate?

A.	It is negative to the left of the origin.
B.	It is positive to the left of the origin.
C.	It is negative below the x-axis.
D.	It is positive above the y-axis.

In the graph of the linear equation ^@4x + 4y = 44^@, there is a point such that its ordinate is ^@5^@ less than its abscissa. Find coordinates of that point.

A.	^@(3, 8)^@
B.	^@(7, 2)^@
C.	^@(2, 7)^@
D.	^@(8, 3)^@

If AC and EF are parallel, find ∠ADB.

A.	85°
B.	95°
C.	125°
D.	105°

^@D^@ is the midpoint of the hypotenuse ^@AC^@ of a right ^@ \triangle ABC.^@ If ^@ BD = 2 \space cm,^@ then the length of ^@AC ^@ is:

A.	^@14 \space cm^@
B.	^@2 \space cm^@
C.	^@19 \space cm^@
D.	^@4 \space cm^@

In a parallelogram ABCD, ∠A - ∠C is

A.	0°
B.	360°
C.	180°
D.	90°

The area of a trapezium is 225 cm² and the distance between its parallel sides is 15 cm. If one of the parallel sides is of length 8 cm, find the length of the other side.

A.	44 cm
B.	20 cm
C.	22 cm
D.	11 cm

The bisectors of opposite angles of a cyclic quadrilateral ABCD intersect the circle circumscribing it at the points P and Q. If radius of the circle is 20 cm, find the distance between points P and Q.

A.	20 cm
B.	20√2 cm
C.	40√2 cm
D.	40 cm

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 5 cm, 6 cm and 4 cm. Find the area of the triangle.

A.	15 √3   cm2
B.	15 cm2
C.	75√3 cm2
D.	225 cm2

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

A.	3:4
B.	4:3
C.	3:2
D.	2:3

If 100C - 300A = 270, and 400A + 100B = 630, then what is the average of A, B and C?

A.	2
B.	4
C.	5
D.	3

What is the probability that a leap year will contain 53 Mondays?

A.	2 366
B.	1 366
C.	2 7
D.	1 52

Dan can complete some work in 14 days, while Ryan can complete the same work in 35 days. They started the work together, and when the work was half complete, Ryan fell ill and Dan had to finish the remaining work. How long did it take to complete the work?

A.	10 days
B.	11 days
C.	13 days
D.	12 days

If ^@x = -1^@ is a root of the polynomial, ^@f(x) = 9x^ { 57 }-x^ { 36 } + 2a^@, what is the value of ^@a^@?

A.	^@\dfrac{ 7 }{ 5 }^@
B.	^@\dfrac{ -7 }{ 5 }^@
C.	^@5^@
D.	^@-5^@