Find the largest positive integer that will divide 1346 and 607 leaving remainders 11 and 7 respectively.

A.	18
B.	14
C.	15
D.	None of above

Find a quadratic polynomial whose zeros are reciprocals of the zeros of the polynomial $x^2 + 7x + 12$.

A.	$k[x^2 + \dfrac { 7 } { 12 } x + \dfrac { 1 } { 12 } ]$
B.	$k[x^2 - \dfrac { 7 } { 12 } x + \dfrac { 1 } { 12 } ]$
C.	$k[x^2 + \dfrac { 7 } { 12 } x - \dfrac { 1 } { 12 } ]$
D.	$k[x^2 - \dfrac { 7 } { 12 } x - \dfrac { 1 } { 12 } ]$

Find the value of $p$ for which the system of equations $6px + 3y = 4,$ and $4p^ { 2 }x + 4y = 5$ has no solution.

A.	$p = -2$
B.	$p = -5$
C.	$p = -1$
D.	$p = 2$

The perimeter of a rectangular field is $120 \space m$ and its area is $891 \space m^2$. Find the dimensions of the field.

A.	$29 \space m, 32 \space m$
B.	$35 \space m, 27 \space m$
C.	$33 \space m, 27 \space m$
D.	$33 \space m, 29 \space m$

If the sequence 10, 20, 30,..., 330 forms an arithmetic progression, then how many terms are there in this sequence?

A.	35
B.	33
C.	32
D.	36

In a trapezium $ABCD$ , $O$ is the point of intersection of $AC$ and $BD$. $AB || CD$ and $AB = 2 \times CD$. If the area of $\Delta AOB = 96 \space cm^2$, find the area of $\Delta COD$.

A.	$24 \space cm^2$
B.	$26 \space cm^2$
C.	$27 \space cm^2$
D.	$25 \space cm^2$

If $A(2,8)$, $B(6 , y)$, $C(x, 4)$ and $D(0, 4)$ are the vertices of a parallelogram $ABCD$, find the values of $x$ and $y$.

A.	$x = 8 , y = 12$
B.	$x = 6 , y = 10$
C.	$x = 4, y = 8$
D.	$x = 7 , y = 11$

$(cos\theta - sec\theta)(cosec\theta - sin\theta) = \text { ? }$

A.	$- sin \theta \space cos \theta$
B.	$\dfrac { -1 } { sin \theta \space cos\theta }$
C.	$\dfrac {1}{ sin \theta \space cos \theta}$
D.	$sin \theta \space cos \theta$

A tangent $PQ$ at a point $P$ of a circle of radius $14 \space cm$ meets a line through the center $O$ at a point $Q$ such that $OQ = 22 \space cm$. What is the length of $PQ$ ?

A.	$21.97 \space cm$
B.	$16.97 \space cm$
C.	$18.97 \space cm$
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.	$5 r^2 \text{ sq. units }$
B.	$r^2 \text{ sq. units }$
C.	$\dfrac { 1 } { 5 } \text{ sq. units }$
D.	$\text { None of these }$

A can is in the shape of a frustum of a cone of height $45 \space cm$. The diameters of its two circular ends are $14 \space cm$ and $11 \space cm$. Find the capacity of the can.(Use $\pi = \dfrac { 22 } { 7 }$)

A.	$5551.07 \space cm^3$
B.	$117.75\space cm^3$
C.	$5651.07 \space cm^3$
D.	$\text { None of these }$

Compare the modal weight of two groups of students in a school.

$\begin{align} \text { Weight (in kg) } \end{align}$ $30 - 38$ $38 - 46$ $46 - 54$ $54 - 62$ $62 - 70$ $70 - 78$ $\begin{align} \text { Group A } \end{align}$ $68$ $46$ $47$ $109$ $23$ $39$ $\begin{align} \text { Group B } \end{align}$ $139$ $31$ $53$ $43$ $142$ $107$

A.	$($modal weight of group $A)$$<$$($modal weight of group $B).$
B.	$($modal weight of group $A)=($modal weight of group $B).$
C.	$($modal weight of group $A)>($modal weight of group $B).$
D.	None of these

According to a meteorological report for $900$ consecutive days in a year, its weather forecasts were correct $441$ times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was correct on that day?

A.	$1$
B.	$0.61$
C.	$0.51$
D.	$0.49$

A statue $1 \space m$ tall stands on the top of the pedestal. From a point on the ground, the angle of elevation of the top of the statue is $45^\circ$ and from the same point the angle of elevation of the top of the pedestal is $30^\circ$. What is the height of the pedestal?

A.	$3.87 \space m$
B.	$3.37 \space m$
C.	$1.37 \space m$
D.	$1.87 \space m$

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 top when 4 is at the bottom?

A.	2
B.	3
C.	5
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 exactly two sports.

A.	43
B.	45
C.	42
D.	48

Find the next term of given sequence ..
13, 21, 33, 49, 69, ....

A.	87
B.	100
C.	107
D.	93

Which of the following options represents the next two terms in the series?
B, Z, D, W, F, T, H, Q, ___, ____

A.	K, M
B.	I, N
C.	J, N
D.	I, M

Find the next term of given sequence ..
0, 12, 30, 54, 84, , ....

A.	114
B.	120
C.	127
D.	240