The HCF of 11472 and 552 is

A.	23
B.	24
C.	28
D.	None of above

What are the zeros of polynomial $p(x) = 7 x^3 - 13 x^2 - 36 x + 36$ ?

A.	$3, -2 \space \text{and} \space \dfrac { 7 } { 6 }$
B.	$3, -2 \space \text{and} \space 6$
C.	$3, -2 \space \text{and} \space \dfrac { 6 } { 7 }$
D.	$\text{ None of these }$

A boat running upstream takes $8{\space} hours$ $41{\space} minutes$ to cover a certain distance, while it takes $4{\space} hours$ to cover the same distance in running downstream. What is the ratio between the speed of the boat and the speed of stream?

A.	$771:286$
B.	$761:281$
C.	$776:289$
D.	None of these

Let $\alpha$ and $\beta$ be the roots of the quadratic equation $x^2 + 2 bx + b = 5$. What is the smallest possible value of $(\alpha - \beta)^2$ ?

A.	$26$
B.	$29$
C.	$19$
D.	$17$

The sum of four numbers (ascending order) in AP is $28$ and the sum of their squares is $2196$. Find the numbers.

A.	$-13, 7, 27, \text{ and } 47$
B.	$-23, -3, 17, \text{ and } 37$
C.	$-18, 2, 22, \text{ and } 42$
D.	None of these

Given a right-angled $\Delta ABC$. The lengths of the sides containing the right angle are $35 \space cm$ and $12 \space cm$. A circle is inscribed in $\Delta ABC$. Find the radius of the circle.

A.	$7 \space cm$
B.	$11 \space cm$
C.	$10 \space cm$
D.	$5 \space cm$

Let $D(10,9), E(7,11),$ and $F(11,15)$ be the mid points of the sides $BC, CA,$ and $AB$ respectively of a $\Delta{ABC}$. Then, find the coordinates of the vertex $A$.

A.	$(8,17)$
B.	$(8,17)$
C.	$(6,5)$
D.	None of these

If $cosec A$ = $\dfrac { 10 } { 8 }$, find $sec A$.

A.	$\dfrac { 10 } { 6 }$
B.	$\dfrac { 10 } { 8 }$
C.	$\dfrac { 8 } { 6 }$
D.	$\dfrac { 5 } { 3 }$

Two tangents $PA$ and $PB$ are drawn to a circle with center $O$ from an external point $P$, then $\angle APB$ is equal to:

A.	$2 \angle OAB$
B.	$\angle PAB$
C.	$3 \angle OAB$
D.	$\angle OAB$

A.
B.
C.
D.

A chord of a circle of radius $56 \space cm$ subtends a right angle at the center. Find the area of the corresponding major segment.$\bigg[\pi = \dfrac { 22 } { 7 }\bigg]$

A.	$896 \space cm^2$
B.	$1146 \space cm^2$
C.	$8960 \space cm^2$
D.	$\text { None of these }$

A building is in form of a right circular cylinder and cone as shown in the picture. The radius of cone and cylinder is 4 meters. The height of cylinder and cone are 8 meters and 3 meters respectively. Find the outer surface area of the building. (Assume π =  

22

7

 )

A.	528 m2
B.	264 m2
C.	396 m2
D.	132 m2

If the median value of the data below is 71. What is the value of x?

Class interval	50-59	59-68	68-77	77-86	86-95
Frequency	18	14	18	x	10

A.	17
B.	18
C.	14
D.	16

Laura and Deborah each have a bag that contains one ball each of the colors yellow, blue, pink, black and green. Laura randomly selects a ball from her bag and puts it in Deborah's bag. Then Deborah randomly selects a ball from her bag and puts it in Laura's bag. What is the probability that after this the contents of the bag are the same as before?

A.	$\dfrac{1}{2}$
B.	$\dfrac{1}{4}$
C.	$\dfrac{1}{3}$
D.	$\dfrac{2}{3}$

An equilateral triangle is inscribed in a circle of radius 12 cm. Find the length of the triangle's side.

A.	24 cm
B.	12√2 cm
C.	18 cm
D.	12√3 cm

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 F is at the top?

A.	D
B.	B
C.	A
D.	E

Which of following shows relation between Cabbage, Onion and Vegetables.

A.
B.
C.
D.

Find the next term of given sequence ..
15, 47, 145, 441, 1331, 4003, ....

A.	12021
B.	36063
C.	12023
D.	12014

Which of the following can take the place of the blank in the series below?
ey, iu, mq, _____, ui

A.	qm
B.	rn
C.	pm
D.	qn

In the following diagram rectangle represents men, triangle represents teachers, circle represents rural and square represents sports persons. Find number of men who are rural.

A.	74
B.	119
C.	91
D.	71