Using commutativity and associativity of addition of rational numbers,

^@\dfrac{ -1 }{ 20 } + \dfrac{ -2 }{ 5 } + \dfrac{ 20 }{ 21 } + \dfrac{ 3 }{ 5 }^@

A.	^@\dfrac{ 388 }{ 424 }^@
B.	^@\dfrac{ 383 }{ 420 }^@
C.	^@\dfrac{ 383}{ 424 }^@
D.	^@\dfrac{ 388 }{ 420 }^@

Factorize: @^ \begin {aligned} u^2 - 1 - 2c - c^2 \end{aligned} @^

A.	^@ (u - 1 - c )^2 ^@
B.	^@ (u + 1 - c ) (u + 1 + c ) ^@
C.	^@ (u - 1 - c ) (u + 1 + c ) ^@
D.	^@ (u - 1 - c ) (u - 1 + c ) ^@

The point in which the abscissa and the ordinate have same sign will lie in:

A.	First or Third quadrant
B.	First or Second quadrant
C.	First or Fourth quadrant
D.	Second or Fourth quadrant

If ^@(p, p)^@ is the solution of equations ^@ax + by + (t - s) = 0^@ and ^@bx + ay + (s - r) = 0 (a \ne b)^@ then, which of the following must be true?

A.	^@2t = r + s^@
B.	^@2r = s + t^@
C.	^@2s = r + t^@
D.	^@r + s + t = 0^@

If AB and PQ are parallel, compute the measure of angle X.

A.	221°
B.	276°
C.	319°
D.	137°

If ^@D^@ is the midpoint of the hypotenuse ^@AC^@ of a right ^@ \triangle ABC^@, then:

A.	^@ BD = \dfrac { 1 } { 2 } AC ^@
B.	^@ BD = AC ^@
C.	^@ BD = \dfrac { 1 } { 3 } AC ^@
D.	^@ BD = 2AC ^@

ABCD is a trapezium with sides AB and CD being parallel to each other. If P and Q are the midpoints of the diagonals of this trapezium, and AB = 14 cm and CD = 9 cm, find the length of segment PQ.

A.	2.5 cm
B.	11.5 cm
C.	1.67 cm
D.	Can not find PQ because AD is not perpendicular to AB

In the rhombus, ∠PRS = 3X - 200° and ∠QSP = 2X - 10°. Find the value of X.

A.	50°
B.	120°
C.	60°
D.	70°

If BC is a diameter of the circle and ∠BAO = 35°. Then find the value of ∠ADC.

A.	45°
B.	40°
C.	35°
D.	30°

To construct an angle of ^@ 7.5^\circ, ^@ we bisect:

A.	^@ 45^\circ ^@
B.	^@ 30^\circ ^@
C.	^@ 15^\circ ^@
D.	^@ 22.5^\circ ^@

The sides of a triangle are 11 cm, 13 cm and 20 cm. The altitude to the longest side is:

A.	8.58 cm
B.	66 cm
C.	6.6 cm
D.	22 cm

The radius of a cylinder is halved and the height is tripled. What is the area of the curved surface now compared to the previous surface area?

A.	two times
B.	three times
C.	same
D.	1.5 times

The mean of the following data is ^@40.78.^@ The value of ^@m^@ is:

^@ x_i ^@	^@10^@	^@16^@	^@22^@	^@28^@	^@34^@	^@40^@	^@46^@	^@52^@
^@f_i^@	^@6^@	^@1^@	^@10^@	^@13^@	^@m^@	^@7^@	^@11^@	^@48^@

A.	^@8^@
B.	^@12^@
C.	^@3^@
D.	^@ 4^@

Ethan draws ^@4^@ cards out of a deck of ^@52^@ cards. What is the probability that he draws ^@a \space 10, \space a \space 9, \space a \space Queen, \space and \space a \space Jack^@?

A.	^@\dfrac { 64 } { 270725 }^@
B.	^@\dfrac { 3 } { 52 }^@
C.	^@\dfrac { 256 } { 6497400 }^@
D.	^@\dfrac { 4 } { 52 }^@

If N = 111111², find the 6^th digit in the expansion of N from the right.

A.	6
B.	5
C.	7
D.	8

Find the measure of the following angle with the help of a protractor.

A.	^@ 225 ^\circ^@
B.	^@ 200 ^\circ^@
C.	^@ 235^\circ ^@
D.	^@ 195 ^\circ^@