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