What is the relation of  

7

12

  to  

12

7

  described as?

A.	Additive Identity
B.	Multiplicative Inverse
C.	Multiplicative Identity
D.	None of these

Factorize: ^@a^{ 2x } - b^{ 2x }^@

A.	^@(a^x + b^x)(a^x - b^x)^@
B.	^@(a^x + b^x)(a^x + b^x)^@
C.	^@(a^x - b^x)(a^x - b^x)^@
D.	^@(a^x + b)(a^x - b^x)^@

A point whose abscissa and ordinate are both positive will lie in the:

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

A point on line x + y = 0 is of the form:

A.	(b, -b)
B.	(b, 0)
C.	(b, b)
D.	(0, b)

If AB and CD are parallel, find the value of ∠x.

A.	80°
B.	90°
C.	110°
D.	100°

If ^@AP,^@ ^@BQ,^@ and ^@CR^@ be the altitudes of the ^@\triangle ABC,^@ then:

A.	^@AP + BQ + CR > AB + BC + AC^@
B.	^@AP + BQ + CR < AB + BC + AC^@
C.	^@AP + BQ + CR = AB + BC + AC^@
D.	None of these

In a quadrilateral PQRS, the diagonals PR and QS are equal and are perpendicular to each other. The quadrilateral PQRS is a:

A.	Trapezium
B.	Rhombus
C.	Square
D.	All of above

The area of a trapezium is 139.5 cm² and the distance between its parallel sides is 9 cm. If one of the parallel sides is of length 20 cm, find the length of the other side.

A.	5.5 cm
B.	11 cm
C.	22 cm
D.	9 cm

There is a circular park of radius 16 meters. Three friends Arata, Atsushi, and Kazuyuki are sitting at equal distance on its boundary each having a toy telephone (connected using strings) in their hands to talk to each other. Find the length of the string between a pair of the telephones.

A.	24 m
B.	32 m
C.	16√3 m
D.	16√2 m

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.	Anywhere in the circle
D.	None of the above

Which triangle has the maximum area for a given perimeter:

A.	Obtuse Angle Triangle
B.	Equilateral Triangle
C.	Can not be determined
D.	Isosceles Triangle

A cone completely made of metal (i.e. it is not hollow) has a base radius of 4 cm, and height of 16 cm. If we melt it and recast it into a sphere, what will be the radius of the sphere?

A.	4 cm
B.	5 cm
C.	6 cm
D.	8 cm

The given table shows the profit of 5 companies in a business group last year.

Company	Profit
Company 1	¥50000
Company 2	¥100000
Company 3	¥300000
Company 4	¥450000
Company 5	¥50000

What is the average profit of the business group?

A.	¥189600
B.	¥188400
C.	¥190300
D.	¥190000

A coin is tossed ^@ 300 ^@ times and it is found that head comes up ^@ 258 ^@ times and tail ^@ 42 ^@ times. If such a coin is tossed, then what is the probability of getting a tail?

A.	^@0.87^@
B.	^@0.89^@
C.	^@1^@
D.	^@0.14^@

How many 3-digit numbers satisfy the property that the digit in the middle is the average of the first and the third digit?

A.	42
B.	41
C.	45
D.	49

ABCD is a parallelogram and the diagonals of it intersect at point O. If ∠DAO = 31°, ∠BAO = 39° and ∠COD = 92°, find ∠ODC.

A.	55°
B.	49°
C.	31°
D.	39°