Find the largest positive integer that will divide 2781 and 785 leaving remainders 9 and 1 respectively.

A.	27
B.	29
C.	28
D.	None of above

If α and β are the zeros of polynomial x² - 7x + k, such that α² + β² = 29. Find the value of k.

A.	10
B.	8
C.	5
D.	12

For which value of p, following pair of linear equations have infinitely many solutions.
p x + 12 y = p
3 x + p y = p - 3

A.	3
B.	6
C.	-6
D.	-3

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

A.	4x2 + 6x + 3 = 0
B.	-4x2 + 5x - 2 = 0
C.	x2 + 3x + 1 = 0
D.	-3x2 + 6x - 4 = 0

Find the sum of all multiples of $6$ lying between $343$ and $791$.(The numbers should not be included.)

A.	$83916$
B.	$41959$
C.	$41958$
D.	$41957$

A vertical stick which is $27 \space cm$ long casts a $18 \space cm$ long shadow on the ground. At the same time, a vertical tower casts a $70 \space m$ long shadow on the ground. Find the height of the tower.

A.	$100 \space m$
B.	$115 \space m$
C.	$110 \space m$
D.	$105 \space m$

Find the values of $y$ for which the distance between the points $A(2, 2)$ and $B(58, y)$ is 106 units.

A.	$-87$ $\text{ and }$ $93$
B.	$92$ $\text{ and }$ $-88$
C.	$-86$ $\text{ and }$ $94$
D.	$-90$ $\text{ and }$ $90$

A straight highway leads to the foot of the tower. A man standing at the top of the tower observes a car at an angle of depression of $30^\circ$, which is approaching the foot of the tower with a uniform speed. $9 \space minutes$ later, the angle of depression of the car is found to be $60^\circ$. What is the time taken by the car after $9 \space minutes$ to reach the foot of the tower?

A.	$9.5 \space minutes$
B.	$4.5 \space minutes$
C.	$14.5 \space minutes$
D.	$64.5 \space minutes$

Two concentric circles are of radii $5 \space cm$ and $r \space cm$ $( r > 5 )$.A chord of the larger circle of length $43 \space cm$, touches the smaller circle. What is the value of $r$ ?

A.	$22.07 \space cm$
B.	$11.04 \space cm$
C.	$44.14 \space cm$
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 $45^\circ$, find its area.

A.	$3846.5 \space cm^2$
B.	$461.25 \space cm^2$
C.	$481.25 \space cm^2$
D.	$\text { None of these }$

Andre made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. If the height of the cylinder is 126 cm and its radius is 63 cm. Choose the correct total surface area of the bird-bath. (Take π = 22/7)

A.	24948
B.	74844
C.	49896
D.	None of these

If the median value of the data below is 82.5. What is the value of x?

Class interval	60-69	69-78	78-87	87-96	96-105
Frequency	17	16	18	x	18

A.	15
B.	16
C.	13
D.	14

Ali and Rafa sit on the 8-member board of directors for company P. If the board is to be split up into two 4-person subcommittees, what is the percentage that Rafa and Ali are included in the same sub-committee?

A.	69.86%
B.	42.86%
C.	55.86%
D.	39.86%

In a circle of radius $15 \space cm$, an arc subtends an angle of $60^\circ$ at the centre. Find the length of the arc.

A.	$117.86 \space cm$
B.	$37.5 \space cm$
C.	$15.71 \space cm$
D.	$\text { None of these }$

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

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

Which of following shows relation between Stationary, Notebook and Pencil.

A.
B.
C.
D.

Find the missing number

48	10	124
-24	-62	?

A.	-20
B.	58
C.	44
D.	52

Which of the following is the next term in the series:
W, Q, S, M, O, I, K, ___

A.	O
B.	N
C.	K
D.	E

Find the missing number

7	5	10
8	3	13
36	23	?

A.	40
B.	53
C.	61
D.	66