The value of ^@ \dfrac{ 1 } { 1 + \sqrt{ 2 } } + \dfrac{ 1 } { \sqrt{2} + \sqrt{3} } + \dfrac{ 1 } { \sqrt{3} + \sqrt{4} } + \dfrac{ 1 } { \sqrt{4} + \sqrt{5} } + \ldots + \dfrac{ 1 } { \sqrt{n-1} + \sqrt{n} } ^@ is:

A.	^@ 2 ^@
B.	^@ \sqrt{n} - 1 ^@
C.	^@ \sqrt{n+1} ^@
D.	^@ \sqrt{n-1} ^@

What is the remainder when -x³ - 2x² + x + 22 is divided by x - 2?

A.	10
B.	6
C.	8
D.	9

What is the area of the triangle formed by joining the points ^@A(1, 0), B(4, 0) \text{ and } C(5, 5)^@?

A.	^@7.5^@
B.	^@12.5^@
C.	^@8.5^@
D.	^@15.5^@

An internet service provider charges €0.7 for the first minute and then €0.5 per minute for subsequent minutes of a call. If the duration of connection is represented as x, and amount charged is represented as y, find the linear equation for this relationship.

A.	y = 0.7x + 0.2
B.	y = 0.5x + 0.7
C.	y = 0.7x + 0.5
D.	y = 0.5x + 0.2

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then find the greater of the two angles.

A.	108°
B.	88°
C.	98°
D.	118°

In ^@ \triangle PQR, ^@ right-angled at ^@ Q ^@, we have:

A.	QR is longest
B.	PR is longest
C.	PQ is longest
D.	None of these

In the parallellogram ABCD, the sum of angle bisectors of two adjacent angles is ______.

A.	30°
B.	90°
C.	115°
D.	60°

The area of a trapezium is 286 cm² and the distance between its parallel sides is 26 cm. If one of the parallel sides is of length 13 cm, find the length of the other side.

A.	7 cm
B.	9 cm
C.	4.5 cm
D.	18 cm

The Ferris Wheel at the school fair has radius of 10 metres. It revolves at the rate of one revolution per 3 minutes. How many seconds does it take a rider to travel from the bottom of the wheel to a point 5 vertical metres above the bottom?

A.	30
B.	29
C.	28
D.	31

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.	Center of the circle
B.	On the circumference
C.	On chord ^@CD^@
D.	None of the above

The base of an isosceles triangle is 10 cm and the perimeter is 36 cm. Find the area of the triangle, if the base is not equal to the other two sides.

A.	^@60 \space cm^2^@
B.	^@48 \space cm^2^@
C.	^@72 \space cm^2^@
D.	^@84 \space cm^2^@

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.	8 cm
B.	9 cm
C.	3.5 cm
D.	7 cm

The mean of the following data is ^@27.84.^@ The value of ^@a^@ is:

^@ x_i ^@	^@3^@	^@9^@	^@15^@	^@21^@	^@27^@	^@33^@	^@39^@
^@f_i^@	^@3^@	^@11^@	^@10^@	^@12^@	^@a^@	^@7^@	^@42^@

A.	^@ 15^@
B.	^@21^@
C.	^@12^@
D.	^@20^@

Rebecca is participating in a race. The probability that she will come first in the race is 0.15. The probability that she will come second in the race is 0.2. The probability that she will come in 3rd is 0.5, and the probability that she will be 4th is 0.15. What is the probability that she will win 2nd position or win the race?

A.	0.35
B.	0.3
C.	0.4
D.	0.45

The average of 7 numbers is 26. If the average of first 3 numbers is 29 and that of last 3 is 25, then find the 4^th number.

A.	20
B.	18
C.	19
D.	21

If lines AC and BD intersects at point O such that ∠AOB:∠BOC = 1:2, find ∠COD.

A.	56°
B.	66°
C.	63°
D.	60°