If a is a nonzero rational and √b is irrational number then a√b is:

A.	rational number
B.	irrational number
C.	whole number
D.	None of these

Find a quadratic polynomial, the sum and product of whose zeros are ^@ -9 ^@ and ^@14^@ respectively.

A.	^@ \space x^2 + 14 x + 9 ^@
B.	^@ \space 2x^2 + 14 x + 9 ^@
C.	^@ x^2 + 9 x + 14 ^@
D.	^@ \text{ None of these } ^@

Identify the pair of equations with an infinite number of solutions.

A.	^@ 7 x + 4y + 3 = 0, 13 x + 12y + 9 = 0 ^@
B.	^@ 5x + 4y + 4 = 0, 15x + 12y + 8 = 0 ^@
C.	^@ 5x + 5 y + 3 = 0, 15x + 11y + 9 = 0 ^@
D.	^@ 5x + 4y + 3 = 0, 15x + 12y + 9 = 0 ^@

Select the correct expanded form of ^@ (6 c + 8) (7 c + 9) ^@ :

A.	^@ 42 c^3 + 110 c + 72 ^@
B.	^@ 46c^2 + 115 c + 72 ^@
C.	^@ 45 c^2 + 110 c + 72 ^@
D.	^@ 42 c^2 + 110 c + 72 ^@

The sum of the first three terms of an AP in decreasing order is 3, and their product is -3. What is the value of the 14^th term?

A.	-25
B.	-17
C.	-21
D.	-23

In the given figure, ^@ DE || BC^@ and ^@AD:DB = 7:6^@.



Find the ratio ^@ar(\Delta DFE):ar(\Delta CFB)^@.

A.	^@50 : 36 ^@
B.	^@ 98 : 72 ^@
C.	^@ 49 : 169 ^@
D.	^@54 : 46 ^@

The three vertices of a parallelogram ^@ABCD^@ taken in order are ^@A(2,0)^@, ^@B(6, 0)^@ and ^@C(4, -4)^@. Find the coordinates of the fourth vertex ^@D^@.

A.	^@(0, -4)^@
B.	^@(2, -2)^@
C.	^@(5, 1)^@
D.	^@(4, 0)^@

^@ \dfrac{ \cos^2 60 ^\circ + \cos^2 30 ^\circ } { \sin^2 60 ^\circ + \sin^2 30 ^\circ } + \cos (60 ^\circ + \theta ) - \sin (30 ^\circ - \theta ) ^@ = ?

A.	^@ 2 ^@
B.	^@ 1 ^@
C.	^@ sin\theta - cos\theta ^@
D.	^@ 0 ^@

In the given figure, ^@ XY ^@ and ^@ X'Y' ^@ are two parallel tangents to a circle with center ^@ O ^@ and another tangent ^@ AB ^@ with the point of contact ^@ C ^@ intersects ^@ XY ^@ at ^@ A ^@ and ^@ X'Y' ^@ at ^@ B ^@. Find the measure of ^@ \angle AOB ^@.

A.	^@ 75^\circ ^@
B.	^@ 180^\circ ^@
C.	^@ 90^\circ ^@
D.	^@ 120^\circ ^@

A.
B.
C.
D.

Find the area of the square that can be inscribed in a circle of radius ^@10 \space cm^@.

A.	^@ 20 \space cm^2 ^@
B.	^@ 220 \space cm^2 ^@
C.	^@ 200 \space cm^2 ^@
D.	^@ \text { None of these } ^@

The perimeters of the ends of the frustum of a cone are ^@7.04 \space cm^@ and ^@9.24 \space cm^@. If the height of the frustum is ^@24 \space cm^@, find its find its volume (Take ^@\pi = \dfrac { 22 } { 7 }^@).

A.	^@ 62.16 \space cm^3 ^@
B.	^@ 127.27 \space cm^3 ^@
C.	^@ 195.36 \space cm^3 ^@
D.	^@ \text { None of these } ^@

Find the mode of the following data:

^@ \begin{align} \text { Height (in cm) } \end{align}^@ ^@ 70 - 76^@ ^@ 77 - 83^@ ^@ 84 - 90^@ ^@ 91 - 97^@ ^@ 98 - 104^@ ^@ \begin{align} \text { Number of plants } \end{align}^@ ^@74^@ ^@16^@ ^@145^@ ^@29^@ ^@87^@

A.	^@82.19\space cm^@
B.	^@87.39\space cm^@
C.	^@ 87.19 \space cm ^@
D.	^@92.19 \space cm^@

Chloe selects 3 numbers randomly from the following set of 5 numbers 1, 10, 8, 6 and 7.
She 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  

7	21
	22

 ?

A.	12 30
B.	6 30
C.	6 36
D.	18 36

According to a meteorological report for ^@ 600 ^@ consecutive days in a year, its weather forecasts were correct ^@ 66 ^@ times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was correct on that day?

A.	^@ 0.11 ^@
B.	^@ 0.99 ^@
C.	^@ 0.89 ^@
D.	^@ 1 ^@

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

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

Which of following shows relation between Gold, Aluminum and Metal.

A.
B.
C.
D.

Find the next term of given sequence ..
16, 51, 208, 1045, 6276, 43939, ....

A.	351520
B.	351528
C.	351515
D.	351522

Which of the following choices would replace the blank below
ABC:ZYX::EFG:____

A.	VUT
B.	WVU
C.	VTU
D.	UTS

Find the next term of given sequence.
24, 26, 29, 34, 41, 52, 65, ....

A.	82
B.	90
C.	85
D.	77