Simplify ^@ \sqrt{ 50 \left( 1 + \sqrt{ 1 + \left( \dfrac{ x^{ 8 } - 1 }{ 2 x^{ 4 } } \right)^2 } \right) }, ^@ where ^@ x ^@ is any positive real number.

A.	^@ \dfrac{ 5 ( x^{ 4 } + 1 ) } { \sqrt{ x^{ 2 } } } ^@
B.	^@ \dfrac{ 5 ( x^{ 4 } + 1 ) } { x^{ 2 } } ^@
C.	^@ \dfrac{ 5 ( x^{ 4 } - 1 ) } { \sqrt{ x^{ 4 } } } ^@
D.	^@ \dfrac{ ( x^{ 4 } + 1 ) } { x^{ 4 } } ^@

Find a cubic polynomial with the sum of its zeros, sum of the products of its zeros taken two at a time and the product of its zeros are ^@ -3 , -34, \space \text{and} \space 120 ^@ respectively.

A.	^@ x^3 + 3 x^2 - 34 x ^@
B.	^@ x^3 - 34 x^2 + 3 x - 120 ^@
C.	^@ x^3 + x^2 - x - 120 ^@
D.	^@ x^3 + 3 x^2 - 34 x - 120 ^@

Three years ago Okan was four times older than his son. After three years, Okan will be 2 years more than two times the age of his son. Find the present age of Okan and his son.

A.	17 and 5 years
B.	19 and 7 years
C.	18 and 6 years
D.	21 and 9 years

Select the correct expanded form of ^@ (9 x - 1) (6 x + 2) ^@ :

A.	^@ 57x^2 + 14 x - 2 ^@
B.	^@ 56 x^2 + 12 x - 2 ^@
C.	^@ 54 x^2 + 12 x - 2 ^@
D.	^@ 54 x^3 + 12 x - 2 ^@

If the first and the last term of an ^@AP^@ are ^@8^@ and ^@217^@ respectively, then what is the sum of the ^@6^{ th }^@ term from the beginning and the ^@ 6^{ th }^@ term from the end of that ^@AP?^@

A.	^@ 225 ^@
B.	^@ 223 ^@
C.	^@ 226 ^@
D.	^@ 231 ^@

In a quadrilateral ^@ ABCD ^@, ^@\angle B = 90^\circ^@. If ^@AD^2 = AB^2 + BC^2 + CD^2^@. Find ^@\angle ACD ^@.

A.	^@ 180^\circ ^@
B.	^@ 270^\circ ^@
C.	^@ 90^\circ ^@
D.	^@ 45^\circ ^@

The three vertices of a parallelogram ^@ABCD^@ taken in order are ^@A(-4,-8)^@, ^@B(0, -8)^@ and ^@C(-2, -12)^@. Find the coordinates of the fourth vertex ^@D^@.

A.	^@(-4, -10)^@
B.	^@(-1, -7)^@
C.	^@(-6, -12)^@
D.	^@(-2, -8)^@

Find the value the given expression.
^@ \dfrac { cos {\space} 63^\circ } { sin {\space} 27^\circ } ^@

A.	2
B.	63
C.	27
D.	1

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.	^@ \angle OAB ^@
D.	^@ 3 \angle OAB ^@

A.
B.
C.
D.

A sector is cut from a circle of diameter ^@ 70 \space cm ^@. If the angle of the sector is ^@ 120^\circ ^@, find its area.

A.	^@ 3846.5 \space cm^2 ^@
B.	^@ 1283.33 \space cm^2 ^@
C.	^@ 1263.33 \space cm^2 ^@
D.	^@ \text { None of these } ^@

The perimeters of the ends of the frustum of a cone are ^@8.8 \space cm^@ and ^@10.56 \space cm^@. If the height of the frustum is ^@52 \space cm^@, find its curved surface area. (Take ^@\pi = \dfrac { 22 } { 7 }^@).

A.	^@ 503.36 \space cm^2 ^@
B.	^@ 160.16 \space cm^2 ^@
C.	^@ 9.68 \space cm^2 ^@
D.	^@ \text { None of these } ^@

Find the mode of the following data:

^@ \begin{align} \text { Weight (in kg) } \end{align}^@ ^@ 40 - 48^@ ^@ 49 - 57^@ ^@ 58 - 66^@ ^@ 67 - 75^@ ^@ 76 - 84^@ ^@ 85 - 93^@ ^@ \begin{align} \text { Number of students } \end{align}^@ ^@93^@ ^@106^@ ^@51^@ ^@88^@ ^@148^@ ^@81^@

A.	^@77.75\space kg^@
B.	^@ 79.75 \space kg ^@
C.	^@80.24\space kg^@
D.	^@82.75 \space kg^@

Metin selects 3 numbers randomly from the following set of 5 numbers 1, 3, 6, 2 and 4.
He puts them in the form of a proper fraction of the type  

a	b
	c

 .
What is the probability that you will get a fraction greater than  

1	14
	15

 ?

A.	30 36
B.	30 30
C.	24 30
D.	18 30

Find a cubic polynomial with the sum of its zeros, sum of the products of its zeros taken two at a time and the product of its zeros are ^@ -1 , -49, \space \text{and} \space 49 ^@ respectively.

A.	^@ x^3 - 49 x^2 + x - 49 ^@
B.	^@ x^3 + x^2 - 49 x - 49 ^@
C.	^@ x^3 + x^2 - 49 x ^@
D.	^@ x^3 + x^2 - x - 49 ^@

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 bottom when 4 is at the top?

A.	1
B.	2
C.	5
D.	4

Which of following shows relation between Banana, Pomegranate and Fruits.

A.
B.
C.
D.

Find the missing number

20	32	114
60	72	?

A.	150
B.	154
C.	194
D.	159

Which of the following choices would replace the blank below
BDF:YWU::EGI:____

A.	USQ
B.	VSS
C.	WUS
D.	VTR

Which of the following choices would replace the blanks below
ov__vd_vd_vd

A.	ovdd
B.	dvdo
C.	odvd
D.	dooo