From a rope ^@18 \space m^@ long, two pieces of lengths ^@ \dfrac{ 9 } { 4 } \space m ^@ and ^@ \dfrac{ 11 } { 5 } \space m ^@ are cut off. What is the length of the remaining rope?

A.	^@\dfrac{ 271 } { 22 } \space m^@
B.	^@ \dfrac { 271 } { 20 } \space m^@
C.	^@\dfrac{ 27 } { 2 } \space m^@
D.	^@\dfrac{ 273 } { 20 } \space m^@

If ^@x = 2^@ and ^@x = 0^@ are the roots of the polynomial, ^@f(x) = 7x^{ 3 } - cx^{ 2 } + cx + d^@, what are the values of ^@c^@ and ^@d^@?

A.	^@c = 28, d = 0^@
B.	^@c = 0, d = 28^@
C.	^@c = 26, d = 32^@
D.	^@c = 32, d = 38^@

What is the area of the triangle formed by joining the points ^@A(3, 0), B(7, 0) \text{ and } C(-6, 5)^@?

A.	^@8^@
B.	^@14^@
C.	^@10^@
D.	^@11^@

If ^@(2, 1)^@ is a solution of the linear equation ^@8 x + 2 y = k^@, then find the value of ^@k^@.

A.	^@21^@
B.	^@32^@
C.	^@18^@
D.	^@17^@

Find the measure of angle x.

A.	70°
B.	90°
C.	80°
D.	60°

In a right-angled triangle ^@ABC^@, if ^@ \angle ACB = 2 \angle CAB^@, then:

A.	^@ AC = 3BC ^@
B.	^@ AC = 2BC ^@
C.	^@ 2AC = BC ^@
D.	^@ 3AC = BC ^@

In the quadrilateral ABCD, AO and DO are the bisectors of ∠A and ∠D respectively. If ∠B = 69° and ∠C = 145° than ∠AOD is:

A.	96°
B.	121°
C.	214°
D.	107°

In the rhombus, ∠PRS = 4X - 318° and ∠QSP = 2X - 12°. Find the value of X.

A.	58°
B.	70°
C.	82°
D.	140°

The chords AB and CD of a circle are perpendicular to each other. If radius of the circle is 21 cm and length of the arc BPC is 21 cm, find the length of arc AQD. (Assume π =  

22

7

 )

A.	43 cm
B.	44 cm
C.	47 cm
D.	45 cm

To construct an angle of ^@ 30^\circ, ^@ we bisect:

A.	^@ 90^\circ ^@
B.	^@ 75^\circ ^@
C.	^@ 67.5^\circ ^@
D.	^@ 60^\circ ^@

The sides of a quadrilateral, taken in order are ^@ 6 \space cm, 5 \space cm, 4 \space cm,^@ and ^@3 \space cm^@ respectively. The angle contained by the last two sides is a right angle. Find the area of the quadrilateral.

A.	^@18 \space cm^2^@
B.	^@36 \space cm^2^@
C.	^@12 \space cm^2^@
D.	^@28.8 \space cm^2^@

If the radii of two hemispheres are in ratio 5:6, find the ratio of their surface area.

A.	36:25
B.	216:125
C.	5:6
D.	25:36

If there are ^@ n ^@ numbers of which one is ^@ \left( 1 - \dfrac{ 1 } { n^4 } \right) ^@ and all the others are ^@ 1's, ^@ then by how much is the arithmetic mean of these numbers less than ^@1.^@

A.	^@ n^{ 5 } ^@
B.	^@ n^4 ^@
C.	^@ \dfrac{ 1 } { n^4 } ^@
D.	^@ \dfrac{ 1 } { n^5 } ^@

What is the probability that an integer in the set 1, 2, 3, ...152 is divisible by 2 and not divisible by 3?

A.	50 149
B.	49 154
C.	53 151
D.	51 152

If 1.888...... is written as  

p

q

 , such that p and q are positive integers without any common factor, find the value of p+q.

A.	26
B.	34
C.	28
D.	24

The zero of polynomial ^@f(x) = ax + b, a \ne 0^@ is

A.	^@0^@
B.	^@\dfrac{ -b }{ a }^@
C.	^@\dfrac{ -a }{ b }^@
D.	^@-b^@