$\sqrt { 3 } + \sqrt { 7 }$ 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