^@\sqrt { 3 } + \sqrt { 7 }^@ is __________ number

A.	a whole
B.	a rational
C.	a natural
D.	an irrational

Find the zeros of the polynomial ^@ 10 a^2 + 22 a - 24 ^@.

A.	^@ a = -\dfrac { 6 } { 2 } \space \text{ or } \dfrac { 4 } { 5 }^@
B.	^@ a = -\dfrac { 6 } { 2 } \space \text{ or } \dfrac { 5 } { 4 }^@
C.	^@ a = -\dfrac { 2 } { 6 } \space \text{ or } \dfrac { 5 } { 4 }^@
D.	^@ a = -\dfrac { 2 } { 6 } \space \text{ or } \dfrac { 4 } { 5 }^@

The value of ^@k^@ for which the system of equations ^@ x - 6y = 0,^@ and ^@7x - ky = 0 ^@ has a nonzero solution is:

A.	^@k = 42^@
B.	^@k = 42^@
C.	^@k = 44^@
D.	^@k \ne 44^@

Find the roots of the quadratic equation ^@y^2 - 6 \sqrt{ 5}y + 40 = 0 ^@.

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

The first and the last term of an AP are ^@ 2 ^@ and ^@ 13 ^@ respectively. If the sum of all the terms is ^@ 135 ^@, find the common difference.

A.	^@ \dfrac{ 11 }{ 17 } ^@
B.	^@ \dfrac { 11 } { 19 } ^@
C.	^@ \dfrac { 5 } { 17 } ^@
D.	^@ \text{ None of these}^@

^@ X ^@ and ^@ Y ^@ are points on the sides ^@AC^@ and ^@BC ^@ respectively of a ^@\Delta ABC^@ such that ^@ CX = 17\space cm, CA = 68\space cm, CB = 36\space cm, \text { and } YB = 27\space cm ^@. Find the relation between ^@ XY ^@ and ^@ AB. ^@

A.	^@ XY = AB ^@
B.	^@XY \parallel AB^@
C.	^@XY \nparallel AB^@
D.	None of these

Find the coordinates of a point ^@P^@ on the line segment joining ^@A(14, 21)^@ and ^@B(28, 7)^@ such that ^@ AP = \dfrac 37 AB ^@.

A.	^@(30, 25)^@
B.	^@(20, 15)^@
C.	^@(25, 20)^@
D.	None of these

If sin(A+B) = 1, cos(A-B) = ?

A.	cos A
B.	cos 2A
C.	sin 2B
D.	sin B

A circle is inscribed in a ^@ \triangle ABC ^@, touching ^@ BC, CA, ^@ and ^@ AB ^@ at points ^@ P, Q, ^@ and ^@ R ^@ respectively. If ^@ AB = 11 \space cm, AQ = 8 \space cm ^@ and ^@ CQ = 6 \space cm ^@ then find the length of ^@ BC ^@.

A.	^@ 11 \space cm ^@
B.	^@ 9 \space cm ^@
C.	^@ 3 \space cm ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

What is the area of the largest triangle that can be inscribed in a semi-circle of radius ^@r^@ units?

A.	^@ 2 r^2 \text{ sq. units } ^@
B.	^@ r^2 \text{ sq. units } ^@
C.	^@ \dfrac { 1 } { 2 } \text{ sq. units } ^@
D.	^@ \text { None of these } ^@

A decorative block shown in the figure is made of two solids_a cube and a hemisphere. The base of the block is the cube with edge of 5.4 cm and the hemisphere attached on the top has a diameter of 4.4 cm. If the block to be painted, then the total area to be painted is:

A.	190.17 cm2
B.	30.42 cm2
C.	159.75 cm2
D.	None of these

The following table shows the marks obtained by ^@59^@ students of class ^@X^@ in a school. Find the mode of this distribution.

^@ \text { Marks } ^@	^@ \text { Number of students }^@
^@ \text { Less than } 10 ^@	^@ 5 ^@
^@ \text { Less than } 20 ^@	^@ 12 ^@
^@ \text { Less than } 30 ^@	^@ 25 ^@
^@ \text { Less than } 40 ^@	^@ 30 ^@
^@ \text { Less than } 50 ^@	^@ 42 ^@
^@ \text { Less than } 60 ^@	^@ 50 ^@
^@ \text { Less than } 70 ^@	^@ 59 ^@

A.	^@26.29^@
B.	^@20.29^@
C.	^@24.84^@
D.	^@ 24.29 ^@

What is the probability that a leap year will contain 53 Tuesdays and 52 Wednesdays?

A.	1 52
B.	1 7
C.	1 366
D.	2 366

Graph of a homogeneous system of equations is

A.	parallel
B.	always intersecting
C.	intersecting or coincident
D.	always coincident

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

A.	2
B.	1
C.	3
D.	Cannot be determined

Following chart shows number of students in a school who play one of three sports. Find the number of students who play at least two sports.

A.	56
B.	57
C.	60
D.	54

Find the missing number

7	4	12
29	20	?

A.	36
B.	52
C.	44
D.	50

Which is the odd one out in this set:
JRA, VDM, NVF, KSB

A.	JRA
B.	KSB
C.	NVF
D.	VDM

Find the odd one out in the given set:
UZE, VAF, SXD, EJO

A.	VAF
B.	UZE
C.	SXD
D.	EJO