If ^@ m ^@ is an irrational number then ^@ nm ^@ is _______________ where ^@ n ^@ is equals to ^@ 0. ^@

A.	a rational number
B.	neither rational or irrational number
C.	an irrational number
D.	a rational or an irrational number

If ^@x-2^@ is a common factor of ^@x^ { 4 } + x^ { 3 } + x^ { 2 } + ax-6^@ and ^@x^ { 4 } + x^ { 3 } + x^ { 2 }-5x + b^@, then what are the values of ^@a^@ and ^@b^@?

A.	^@a = -12^@ and ^@b = -11^@
B.	^@a = -15^@ and ^@b = -18^@
C.	^@a = -11^@ and ^@b = -18^@
D.	^@a = -15^@ and ^@b = -12^@

What is the area of the triangle formed by joining the points ^@A(0, 3), B(0, 6) \text{ and } C(-7, 6)^@?

A.	^@10.5^@
B.	^@15.5^@
C.	^@9.5^@
D.	^@13.5^@

If graph of the equation y = mx + c passes through the origin, what is the value of c.

A.	1
B.	-1
C.	0
D.	2

How many different angles can we count in the figure?

A.	^@ 27 ^@
B.	^@ 26 ^@
C.	^@ 14 ^@
D.	^@ 29 ^@

The perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are:

A.	Equal
B.	Unequal
C.
D.

In a parallelogram ABCD, find ∠CDB if ∠DAB = 78° and ∠DBC = 53°.

A.	127°
B.	78°
C.	49°
D.	53°

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

A.	120°
B.	50°
C.	60°
D.	70°

The Ferris Wheel at the school fair has radius of 8 metres. It revolves at the rate of one revolution per 2 minutes. How many seconds does it take a rider to travel from the bottom of the wheel to a point 4 vertical metres above the bottom?

A.	20
B.	18
C.	19
D.	22

Draw a circle with its two chords ^@PQ^@ and ^@RS^@ such that ^@PQ^@ is not parallel to ^@RS^@. Draw the perpendicular bisector of ^@PQ^@ and ^@RS^@. At what point do they intersect each other.

A.	Anywhere but the center
B.	Center of the circle
C.	On chord ^@RS^@
D.	None of the above

In the parallelogram PQRS, PQ = 20 cm. The altitudes corresponding to the side PQ and PS are 19 cm and 18 cm respectively. Find PS.

A.	19 cm
B.	21.11 cm
C.	29.554 cm
D.	23 cm

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

A.	half
B.	double
C.	same
D.	four times

Calculate the mode for the following data by using empirical formula.

^@ \text{ Weight(In kg) } ^@	^@39^@	^@60^@	^@42^@	^@46^@	^@68^@
^@ \text{ Number of students } ^@	^@4^@	^@10^@	^@3^@	^@9^@	^@14^@

A.	^@ 67.6 ^@
B.	^@ 73.1 ^@
C.	^@ 71.6 ^@
D.	^@ 68.6 ^@

Seoyoon is participating in a race. The probability that she will come first in the race is 0.1. The probability that she will come second in the race is 0.1. The probability that she will come in 3rd is 0.6, and the probability that she will be 4th is 0.2. What is the probability that she will win 2nd position or win the race?

A.	0.25
B.	0.15
C.	0.1
D.	0.2

There is a sequence of numbers a₁, a₂, ... where a₁ = 2, a₂ = 3, and a_n =  

an-1

an-2

  for n ≥ 3. What is the value of a₇₅₆ ?

A.	3
B.	2 3
C.	1 2
D.	3 2

What is the remainder when x⁴⁸ + 44 is divided by (x - 1)?

A.	46
B.	45
C.	0
D.	44