Which of the following number form cannot end with the digit $0$?

A.	$10^n$
B.	$2^n$
C.	$20^n$
D.	None of these

Find the zeros of the polynomial $18 c^2 - 51 c + 15$.

A.	$c = \dfrac { 5 } { 2 } \space \text{ or } \dfrac { 3 } { 9 }$
B.	$c = \dfrac { 2 } { 5 } \space \text{ or } \dfrac { 3 } { 9 }$
C.	$c = \dfrac { 5 } { 2 } \space \text{ or } \dfrac { 9 } { 3 }$
D.	$c = \dfrac { 2 } { 5 } \space \text{ or } \dfrac { 9 } { 3 }$

If a pair of linear equations is consistent, then the lines representing the equations will be

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

Which of the following quadratic equations has two distinct real roots?

A.	-2x2 + 3x - 1 = 0
B.	-x2 + 4x - 4 = 0
C.	2x2 + 2x + 1 = 0
D.	3x2 + 6x + 4 = 0

A circle with area $A _1$ is contained in the interior of a larger circle with area $A _1 + A _2$ . If the radius of the larger circle is $12$ units and $A _1$, $A _2$, $A _1 + A _2$ are in $A.P.$, then the radius of the smaller circle is

A.	$4\sqrt{5}$ units
B.	$5\sqrt{ 5 }$ units
C.	$5\sqrt{ 3 }$ units
D.	$4\sqrt{3}$ units

$D$, $E$ and $F$ are respectively the midpoints of sides $AB$, $BC$ and $CA$ of $\Delta ABC$. Find the ratio of the areas of $\Delta DEF$ and $\Delta ABC$.

A.	$1:1$
B.	$4:1$
C.	$1:4$
D.	$2:1$

If the points $(a, 0),(0, b)$ and $(1, 1)$ are collinear then which of the following is true?

A.	$\dfrac{1}{a} - \dfrac{1}{b} = 1$
B.	$\dfrac{1}{a} + \dfrac{1}{b} = 1$
C.	$\dfrac{1}{a} - \dfrac{1}{b} = 2$
D.	$\dfrac{1}{a} + \dfrac{1}{b} = 2$

If $cosec A$ = $\dfrac { 20 } { 12 }$, find $cot A$.

A.	$\dfrac { 16 } { 12 }$
B.	$\dfrac { 20 } { 12 }$
C.	$\dfrac { 20 } { 16 }$
D.	$\dfrac { 4 } { 3 }$

If the lengths of tangents drawn from an external point $A$ to a point $P$ and $Q$ on the circle are equal then $AP$ is equal to:

A.	$AQ$
B.	$OQ$
C.	$OA$
D.	$OP$

A.
B.
C.
D.

An arc of a circle is of length $20 \pi \space cm$ and the sector it bounds has an area of $45 \pi \space cm^2$. Find the radius of the circle.

A.	$4.5 \space cm$
B.	$9.5 \space cm$
C.	$14.5 \space cm$
D.	$\text { None of these }$

Mehek and his wife are busy in making jaggery out of sugarcane juice. They have processed the sugarcane juice to make the molasses which are poured into the moulds of the shape shown in the figure. It will be cooled to solidify in this shape to be sent to the market. Each mould is in the shape of a frustum of a cone having the radii of its two circular faces as $14 \space cm$ and $28 \space cm$ and the height of the mould is $5 \space cm$. If each $cm^3$ of molasses weighs about $3.7 \space gm$, find the weight of molasses that can be poured into each mould. (Take $\pi = \dfrac { 22 } { 7 }$)

A.	$275.9 \space kg$
B.	$26.59 \space kg$
C.	$265.9 \space kg$
D.	$\text { None of these }$

What is the mean of the data given below? (Use Step-Deviation method)

$\text{ Salary (in thousands) }$ $47-67$ $67-87$ $87-107$ $107-127$ $127-147$ $\text{ Number of employees }$ $10$ $14$ $20$ $22$ $34$

A.	103.2
B.	118.2
C.	108.2
D.	98.2

A bag contains 5 red balls, 5 blue balls and 6 green balls. Shagufta draws 2 balls out of the bag. What is the probability that she gets a red ball and a blue ball?

A.	120 23
B.	23 120
C.	27 120
D.	25 120

If $tan \theta = \dfrac{ a } { b }$ and $90^\circ > \theta > 0^\circ,$ find value of $sec \theta.$

A.	$\sqrt{ \dfrac{ b^2 + a^2 } { b^2 } }$
B.	$\sqrt{ \dfrac{ b^2 + a^2 } { a^2 } }$
C.	$\sqrt{ \dfrac{ b^2 - a^2 } { b^2 } }$
D.	$\sqrt{ \dfrac{ b^2 } { b^2 - a^2 } }$

Faces of a cube are marked with A,B,C,D,E and F. If two views of cube are as shown below, what will be there on the bottom when D is at the top?

A.	E
B.	A
C.	B
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.	53
B.	52
C.	50
D.	49

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

A.	93
B.	85
C.	100
D.	107

Which of the following is the next term in the series:
A, D, C, F, E, H, G, ___

A.	C
B.	Q
C.	D
D.	J

Find the next term of given sequence ..
6, 32, 100, 228, 434, , ....

A.	1472
B.	732
C.	736
D.	741