Which of the following numbers is the largest?

A.	^@( 30 \times 20)^{ 8 }^@
B.	^@10^{ 24 }^@
C.	^@30^{ 16 }^@
D.	^@(30 + 10)^{ 16 }^@

What is the remainder when ^@4x^ { 2 }-8x + 5^@ is divided by ^@4x-3^@?

A.	^@\dfrac{ -6 }{ 5 }^@
B.	^@\dfrac{ 6 }{ 5 }^@
C.	^@\dfrac{ 5 }{ 4 }^@
D.	^@\dfrac{ -5 }{ 4 }^@

Two points having the same ordinate but different abscissas lie on

A.	a line parallel to the ^@y-^@ axis
B.	^@x-^@ axis
C.	^@y-^@ axis
D.	a line parallel to the x-axis

Based upon the graph, which is the apparent solution to the system of equations?

A.	15
B.	^@(-2, -4)^@
C.	5
D.	9

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 1:2, then find the greater of the two angles.

A.	120°
B.	110°
C.	130°
D.	100°

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

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, then which of the following statement is true:

A.	PQ =   (AB + BC) 3
B.	PQ || AB, PQ =   (AB + CD) 2
C.	PQ =   |AB - CD| 2   only if AD is perpendicular to AB
D.	PQ || AB, PQ =   |AB - CD| 2

The area of a trapezium is 516 cm² and the distance between its parallel sides is 24 cm. If one of the parallel sides is of length 20 cm, find the length of the other side.

A.	23 cm
B.	11.5 cm
C.	46 cm
D.	21 cm

AC is the diameter of the semicircle and BD is perpendicular to AC. If AB = 2 cm and BC = 8 cm, find the length of BD.

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

To construct an angle of ^@ 120^\circ, ^@ we bisect:

A.	^@ 270^\circ ^@
B.	^@ 255^\circ ^@
C.	^@ 240^\circ ^@
D.	^@ 247.5^\circ ^@

If in the figure below ^@AB = 15 \space cm , BC=20 \space cm ^@ and ^@CA = 7 \space cm ,^@ find the area of the rectangle ^@BDCE.^@

A.	^@ 192 \space cm ^2 ^@
B.	^@45 \space cm ^2 ^@
C.	^@ 42 \space cm ^2 ^@
D.	^@51 \space cm ^2 ^@

Find the surface area of the biggest sphere, which can fit in a cube of side 4r.

A.	36πr2
B.	64πr2
C.	4πr2
D.	16πr2

Given below are the height of a few students in a school.

126, 105, 157, 114, 157, 126, 157, 105, 112, 105, 114, 114, 114, 114, 100, 100, 105, 105, 105, 100, 105, 114, 112, 157, 157, 157, 112, 112, 100, 157, 114, 114, 114, 114, 100, 105, 157, 105

Find the modal height.

A.	100
B.	114
C.	105
D.	112

There are a total of 16 chocolates - 4 each in the flavors of strawberry, orange, mango and cherry. There are also 5 children. If each child is allowed to choose their own favorite flavor, what is the probability that all of them will get flavors of their choice?

A.	243 256
B.	255 256
C.	254 257
D.	1 257

One morning after sunrise, Joseph was standing facing a pole. The shadow of the pole fell exactly to his right. Which direction was he facing?

A.	South
B.	East
C.	West
D.	North

Factorize (25b² + 20b + 4).

A.	(5b + 2) (5b - 2)
B.	(b + 1) (25b + 4)
C.	(5b + 2) (5b + 2)
D.	(b - 1) (25b + 4)