If ^@I = \dfrac{ 2 }{ 9 } \div \dfrac{ 3 }{ 5 },^@ ^@II = 2 \div [9 \div 3] \div 5^@, ^@III = [2 \div (9 \div 3)] \div 5,^@ ^@IV = 2 \div 9 \div (3 \div 5),^@ then

A.	^@I^@ and ^@IV^@ are equal
B.	^@I^@ and ^@II^@ are equal
C.	^@II^@ and ^@III^@ are equal
D.	Both (a) and (c) are true

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 = -16^@ and ^@b = -9^@
B.	^@a = -9^@ and ^@b = -11^@
C.	^@a = -11^@ and ^@b = -18^@
D.	^@a = -15^@ and ^@b = -15^@

What is the ordinate of the point ^@N(11,-3)^@ ?

A.	^@ 11 ^@
B.	^@ 3 ^@
C.	^@ -3 ^@
D.	1

In the rectangular coordinate system given below, the shaded region is bounded by two straight lines. Which of the following is not an equation of one of the boundary lines?

A.	^@x - y = 0 ^@
B.	^@x = 0^@
C.	^@5x + 4y = 20^@
D.	^@x = 1^@

What is the angle between the West and South-West direction?

A.	90°
B.	135°
C.	45°
D.	0°

In the isosceles ^@\triangle ABC, AD \perp BC,^@ then ^@ BD = \space ? ^@

A.	AC
B.	BC
C.	AD
D.	DC

In the parallelogram PQRS, find the measurement of ∠PSQ and ∠PQS when ∠QPS is 44° and ∠QSR is 75°.

A.	61°, 46°
B.	61°, 75°
C.	15°, 75°
D.	75°, 61°

In the rhombus, ∠PRS = 4X - 264° and ∠QSP = 2X - 12°. Find the value of X.

A.	73°
B.	61°
C.	49°
D.	122°

If ∠OAB = 34° and ∠OCB = 60°, find ∠AOC.

A.	47°
B.	62°
C.	57°
D.	52°

Which of the following angles cannot be constructed using ruler and compass only?

A.	^@ 135^\circ ^@
B.	^@ 120^\circ ^@
C.	^@ 90^\circ ^@
D.	^@ 80^\circ ^@

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 7 cm, 9 cm, and 5 cm. Find the altitude of the triangle.

A.	24 cm
B.	21 cm
C.	19 cm
D.	21√3 cm

A sphere and a cone have the same radius. If the volume of the sphere is four times of the volume of the cone, find the ratio of the height and radius of the cone.

A.	4:3
B.	1:3
C.	1:1
D.	2:1

Given are the marks obtained by 50 students in English.

Marks	Tally Marks	Number of students
2	^@||^@	2
3	^@\require{ cancel } \bcancel{ |||| } \bcancel{ |||| }|^@	11
4	^@\require{ cancel } \bcancel{ |||| }|^@	6
5	^@\require{ cancel } \bcancel{ |||| }||||^@	9
6	^@|||^@	3
7	^@\require{ cancel } \bcancel{ |||| }|^@	6
8	^@\require{ cancel } \bcancel{ |||| }|^@	6
9	^@\require{ cancel } \bcancel{ |||| }||^@	7

The median of their scores is:

A.	9.5
B.	5
C.	4.5
D.	7

According to a meteorological report for ^@ 200 ^@ consecutive days in a year, its weather forecasts were correct ^@ 116 ^@ times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was not correct on that day?

A.	^@ 0.78 ^@
B.	^@ 1 ^@
C.	^@ 0.58 ^@
D.	^@ 0.42 ^@

The average of 11 numbers is 42. If the average of first 5 numbers is 45 and that of last 5 is 43, then find the 6^th number.

A.	23
B.	20
C.	24
D.	22

If ^@x = -1^@ is a root of the polynomial, ^@f(x) = 2x^ { 116 }-9x^ { 60 } -6a^@, what is the value of ^@a^@?

A.	^@-\dfrac{ 7 }{ 6 }^@
B.	^@14^@
C.	^@\dfrac{ 7 }{ 6 }^@
D.	^@-14^@