The HCF of 10880 and 640 is

A.	639
B.	642
C.	640
D.	None of above

Find the sum of the zeroes of the polynomial l² + 15l + 54.

A.	15
B.	16
C.	-15
D.	-16

Solve the following system of linear equations by equating the coefficients. @^\begin{aligned} & 3 x - 8 y = -98 \\ & 4 x + 5 y = 26 \end{aligned}@^

A.	^@x^@ = ^@10^@ and ^@y^@ = ^@-6^@
B.	^@x^@ = ^@-7^@ and ^@y^@ = ^@9^@
C.	^@x^@ = ^@-6^@ and ^@y^@ = ^@10^@
D.	^@x^@ = ^@-5^@ and ^@y^@ = ^@11^@

Choose the correct roots of the equation ^@ 8 z^2 - 26 z + 15 = 0 ^@ by completing the square method.

A.	^@ \dfrac { 3 } { 2 } ^@ and ^@ \dfrac { 3 } { 4 } ^@
B.	^@ \dfrac { 5 } { 2 } ^@ and ^@ \dfrac { 3 } { 4 } ^@
C.	^@ \dfrac { 5 } { 2 } ^@ and ^@ \dfrac { 3 } { 2 } ^@
D.	^@ \dfrac { 5 } { 4 } ^@ and ^@ \dfrac { 3 } { 4 } ^@

If the sequence ^@11, 18, 25,...,179^@ forms an arithmetic progression, then Which of the following is the middle term in this sequence?

A.	^@88^@
B.	^@102^@
C.	^@81^@
D.	^@95^@

Given a ^@ \Delta ABC^@ in which ^@\angle B = 90^\circ^@ and ^@AB = \sqrt{3} BC^@. Find ^@\angle C ^@.

A.	^@60^\circ^@
B.	^@90^\circ^@
C.	^@180^\circ^@
D.	^@75^\circ^@

Find those points on the ^@y^@-axis, which are at a distance of 45 units from the point ^@A(27,3)^@.

A.	^@ (0,48) \text{ and } (0,-33) ^@
B.	^@ (0,39) \text{ and } (0,-33) ^@
C.	^@ (0,39) \text{ and } (0,-24) ^@
D.	^@ (0,30) \text{ and } (0,-33) ^@

Evalute

A.	^@9 ^@
B.	^@2^@
C.	^@12^@
D.	^@7 ^@

In the given figure, ^@ AB ^@ is a chord of length ^@ 9 \space cm ^@ of a circle with center ^@ O ^@ and radius ^@ 5 \space cm ^@. The tangents at ^@ A ^@ and ^@ B ^@ intersect at ^@ P ^@. What is the length of ^@ PA ^@?

A.	^@ 15.32 \space cm ^@
B.	^@ 10.32 \space cm ^@
C.	^@ 40.5 \space cm ^@
D.	^@ \text{None of these} ^@

A.
B.
C.
D.

An umbrella has ^@6^@ ribs which are equally spaced as given in the figure. Assuming the umbrella to be a flat circle of radius ^@ 28 \space cm^@, find the area between two consecutive ribs of the umbrella.^@ \bigg[ \pi = \dfrac { 22 } { 7 } \bigg]^@

A.	^@ 510.67 \space cm^2 ^@
B.	^@ 410.67 \space cm^2 ^@
C.	^@ 660.67 \space cm^2 ^@
D.	^@ \text { None of these } ^@

A solid metallic right circular cone ^@18 \space cm^@ high and whose vertical angle is ^@120^\circ^@ is cut into two parts at the middle point of its height by a plane parallel to the base. If the frustum, so obtained, be drawn into a wire of diameter ^@\dfrac { 1 } { 7 } \space cm^@, find the length of the wire.

A.	^@ 977 \space cm^3^@
B.	^@ 1702 \space cm^3^@
C.	^@ 1000188 \space cm^3^@
D.	^@ 972 \space cm^3^@

A survey regarding the height of ^@73^@ plants was conducted and the following data was obtained:

^@ \begin{align} \text { Height (in cm) } \end{align}^@	^@ 90 - 96^@	^@ 96 - 102^@	^@ 102 - 108^@	^@ 108 - 114^@	^@ 114 - 120^@
^@ \begin{align} \text { Number of plants } \end{align}^@	^@19^@	^@14^@	^@12^@	^@17^@	^@11^@

Determine the modal height of the plants.

A.	^@ 103.75 \space cm ^@
B.	^@ 103.386 \space cm ^@
C.	^@ 104.042 \space cm ^@
D.	^@ 103.932 \space cm ^@

A card is drawn from a shuffled deck of ^@52^@ cards. What is the probability of getting a card greater than ^@4^@ but lesser than ^@9^@?

A.	^@ \dfrac { 8 } { 52 }^@
B.	^@\dfrac { 4 } { 13 } ^@
C.	^@ \dfrac {1} { 52 }^@
D.	^@\dfrac { 12 } { 52 }^@

If ^@ sec\theta + tan\theta = p, ^@ find value of ^@ tan\theta ^@ in terms of ^@ p. ^@

A.	^@ \dfrac{ 1 } { 2 } \left( p - \dfrac{ 1 } { p } \right) ^@
B.	^@\left( p - \dfrac{ 1 } { p } \right) ^@
C.	^@\left( p + \dfrac{ 1 } { p } \right) ^@
D.	^@ \dfrac{ 1 } { 2 } \left( p + \dfrac{ 1 } { p } \right) ^@

Faces of a cube are marked with 1,2,3,4,5 and 6. If two views of cube are as shown below, what will be there on the face opposite to face 2 ?

A.	5
B.	4
C.	1
D.	Cannot be determined

Following chart shows number of students in a school who got distinction in one of three subjects. Find the number of students who got distinction in exactly two subjects.

A.	54
B.	48
C.	51
D.	53

Find the next term of given sequence ..
17, 18, 22, 31, 47, ....

A.	73
B.	64
C.	72
D.	80

Which of the following is the next terms in the series given below?
BWC, FSE, JOG, NKI, ___

A.	RFK
B.	RGK
C.	QGL
D.	IGK

Find the next term of given sequence ..
13, 43, 177, 891, 5353, 37479, ....

A.	299841
B.	299833
C.	299844
D.	299850