Find the largest positive integer that will divide 958 and 437 leaving remainders 10 and 5 respectively.

A.	11
B.	14
C.	12
D.	None of above

If the product of the zeros of the polynomial $a c^2 - 57 c + 35$ is $\dfrac { 35 } { 18}$, what is the value of $a$ ?

A.	$21$
B.	$20$
C.	$22$
D.	$18$

Solve graphically the system of linear equations $7x - 5y = -21$ and $-7x + 10y = 56.$ and find the area of the triangle formed by these lines and the $x$-axis.

A.	$32.5 \text{ sq. units }$
B.	$26.5 \text{ sq. units }$
C.	$22.5 \text{ sq. units }$
D.	$17.5 \text{ sq. units }$

In a class, one-fourth of students had gone to watch magic show. Twice the square root of the students had gone to watch museum, and remaining 160 students had gone to watch football match. Find total number of students in the class.

A.	225
B.	289
C.	256
D.	324

The sum of the first three terms of an AP is 27, and the sum of the next three terms is -171. What is the value of the 14^th term?

A.	-255
B.	-211
C.	-233
D.	-299

In the given figure, $MN \parallel QR$. Find the length of $PR$.

A.	$5.8 \space cm$
B.	$3.3 \space cm$
C.	$4.3 \space cm$
D.	$\text{None of these}$

Find the area of $\Delta ABC$ whose vertices are $A(-4,-9)$, $B(-8,6)$, and $C(-5,7)$.

A.	$16.5{\space} \text{sq.units}$
B.	$24.5 {\space}\text{sq.units}$
C.	$14.5{\space} \text{sq.units}$
D.	$19.5{\space} \text{sq.units}$

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.	$\dfrac{ 1 } { 2 } \left( p - \dfrac{ 1 } { p } \right)$
C.	$\left( p + \dfrac{ 1 } { p } \right)$
D.	$\left( p - \dfrac{ 1 } { p } \right)$

A circle is touching the side $BC$ of $\triangle ABC$ at $P$ and touching $AB$ and $AC$ produced at $Q$ and $R$ respectively. Which of the following hold true?

A.	$AQ = \dfrac { 1 } { 4 } \text{(Perimeter of } \triangle ABC)$
B.	$AQ = \dfrac { 1 }{ 2 } \text{(Perimeter of } \triangle ABC)$
C.	$AQ = \text{ Perimeter of } \triangle ABC$
D.	$\text{ None of these }$

A.
B.
C.
D.

The radii of two circles are $10 \space cm$ and $7 \space cm$ respectively. Find the radius of the circle which has its circumference equal to the sum of the circumference of the two circles.

A.	$17 \space cm$
B.	$20 \space cm$
C.	$34 \space cm$
D.	$\text{ None of these }$

Jonathan cut a cylindrically shaped solid pipe, having a diameter and height as $4 \space cm$ and $12 \space cm$ respectively, into $4$ equal parts. He then took a piece and rolled it into $2$ similar balls. What would be the radius of the ball$?$

A.	$16.51 \space cm$
B.	$0.1651 \space cm$
C.	$4.651 \space cm$
D.	$1.651 \space cm$

What is the mode of the data given in the table below?

$\begin{align} \text { Age (in years) } \end{align}$ $20 - 26$ $26 - 32$ $32 - 38$ $38 - 44$ $44 - 50$ $\begin{align} \text { Number of people } \end{align}$ $8$ $4$ $14$ $6$ $6$

A.	$39.33$
B.	$35.33$
C.	$34.33$
D.	$35.73$

One card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that the card drawn is either a red card or a jack.

A.	$\dfrac { 7 } { 13 }$
B.	$\dfrac { 3 } { 13 }$
C.	$\dfrac { 5 } { 13 }$
D.	$\dfrac { 6 } { 13 }$

Find the coordinates of the point which divides the line segment joining the points $A(36, -27)$ and $B(18, -36)$ in the ratio $5 : 4$.

A.	$(5, 4)$
B.	$(1, -12)$
C.	$(4, 2)$
D.	None of these

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

A.	3
B.	2
C.	5
D.	4

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.	44
B.	45
C.	42
D.	41

Find the next term of given sequence ..
1, 16, 65, 166, 337, , ....

A.	603
B.	590
C.	1192
D.	596

Which of the following choices would replace the blank below?
EFGH:____::HIJK:MNOP

A.	MNOO
B.	LMNO
C.	JKLM
D.	NOPQ

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

A.	299844
B.	299837
C.	299850
D.	299841