What is the LCM of 1008 and 518?

A.	37296
B.	2664
C.	2667
D.	None of above

If one zero of the polynomial $(s^2 + 16)a^2 + 128 a + 8s$ is reciprocal to the other, what is the value of $s$ ?

A.	$5$
B.	$3$
C.	$16$
D.	$4$

If the angles of a triangle are $x$, $y$ and $60^\circ$ and the difference between the two angles $x$ and $y$ is $30^\circ$. Then, the respective values of $x$ and $y$ are

A.	$x = 48^\circ, y = 77^\circ$
B.	$x = 77^\circ, y = 48^\circ$
C.	$x = 75^\circ, y = 45^\circ$
D.	$x = 45^\circ, y = 75^\circ$

Two students while solving a quadratic equation in $x$, one copied the constant term incorrectly and got the roots as $9$ and $10$. The other copied the coefficient of $x$ incorrectly and got roots as $4$ and $5$ respectively. The correct root(s) is/are (Assume the leading coefficient of the quadratic equation as $1$)

A.	$-1$ and $20$
B.	$1$ and $-20$
C.	$-1$ and $-20$
D.	$1$ and $20$

The sum of first $n$ terms of an AP is $\dfrac {1}{2} (5 n^2 + 7 n)$. What is its $14^{ th }$ term?

A.	$71$
B.	$6$
C.	$12$
D.	$\text{ None of these}$

If $D$ is a point on the side $AB$ of $\Delta ABC$ such that $AD:DB = 9:7$ and $E$ is a point on $BC$ such that $DE || AC$, find the ratio of the areas of $\Delta ABC$ and $\Delta DBE$.

A.	$255 : 49$
B.	$257:50$
C.	$256 : 49$
D.	$255 : 48$

The points $(-5, 8)$, $(3, 2)$, and $(9, 10)$ form the vertices of

A.	Right-angled triangle
B.	Isosceles triangle
C.	Equilateral triangle
D.	Isosceles right-angled triangle

$\dfrac{ \sec^2 65 ^\circ - \cot^2 25 ^\circ } { \mathrm{cosec}^2 78 ^\circ - \tan^2 12 ^\circ }$ $+ 2 \sin^2 79 ^\circ \sec^2 11 ^\circ$ $- \cos^2 45 ^\circ$ $= \space ?$

A.	$0$
B.	$\dfrac{ 1 }{ 2 }$
C.	$\dfrac{ 3 }{ 2 }$
D.	$\dfrac{ 5 } { 2 }$

In the given figure, two circles touch each other at a point $C$. Which of the following is true?

A.	$BQ = RQ$
B.	$PA = PR$
C.	$PR = QR$
D.	$\text { None of these }$

A.
B.
C.
D.

A sector is cut from a circle of diameter $70 \space cm$. If the angle of the sector is $90^\circ$, find its area.

A.	$3846.5 \space cm^2$
B.	$942.5 \space cm^2$
C.	$962.5 \space cm^2$
D.	$\text { None of these }$

Hokona loves to play with building blocks. She has building blocks in the shape of a cube. The shape and size of all the blocks are the same. Each edge of the block has a length of $4 \space cm$. This time Hokona tries to form columns by placing the blocks one over the other. She places the blocks in such a way that there is always a block less in the consecutive column. If she starts with $9$ blocks in the first column then what is the volume of the resultant figure?

A.	$720 \space cm^3$
B.	$180 \space cm^3$
C.	$45 \space cm^3$
D.	$2880 \space cm^3$

Choose the correct median for the following data:

$\text{ Height (in cm) }$ $\text{ Number of plants }$ $70 - 72$ $14$ $73 - 75$ $26$ $76 - 78$ $24$ $79 - 81$ $22$ $82 - 84$ $30$

A.	$77.75 \space cm$
B.	$79.75 \space cm$
C.	$75.75 \space cm$
D.	$78.75 \space cm$

Three unbiased coins are tossed simultaneously. Find the probability of getting at least $2$ heads.

A.	$\dfrac { 3 } { 8 }$
B.	$\dfrac { 1 } { 2 }$
C.	$\dfrac { 5 } { 8 }$
D.	$\dfrac { 3 } { 7 }$

A bag contains $4$ red balls and some blue balls. If the probability of drawing a blue ball from the bag is five times that of a red ball, find the number of blue balls in the bag.

A.	$12$
B.	$8$
C.	$20$
D.	$16$

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.	1
B.	4
C.	3
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 Physics and English.

A.	21
B.	22
C.	19
D.	24

Find the next term of given sequence.
28, 75, 122, 169, 216, 263, 310, ....

A.	349
B.	357
C.	404
D.	361

Which of the following is the next term in the series:
BW, DT, FQ, HN, ___

A.	IJ
B.	KJ
C.	IK
D.	JK

Faces of a cube are marked with A,B,C,D,E and F. Two views of the cube are as shown below, if face A is opposite to face D, what will be there on the face opposite to face B?

A.	C
B.	E
C.	F
D.	Cannot be determined