n²-n is ________ for every positive integer n.

A.	odd
B.	can't say
C.	even
D.	negative

If ^@ \alpha ^@ and ^@ \beta ^@ are the zeros of polynomial ^@ x^2-x-12,^@ find a polynomial whose zeros are ^@ \dfrac{ \alpha^2 }{ \beta^2 } ^@ and ^@ \dfrac{ \beta^2 }{ \alpha^2 }. ^@

A.	^@ k \left( x^2 - \dfrac{ 341 } { 144 }x + 1 \right) ^@
B.	^@ k \left( x^2 - \dfrac{ 337 } { 144 }x + 1 \right) ^@
C.	^@ k \left( x^2 + \dfrac{ 337 } { 144 }x + 1 \right) ^@
D.	^@ k \left( x^2 + \dfrac{ 341 } { 144 }x + 1 \right) ^@

12 pens and 9 pencils cost 99 and 6 pens and 7 pencils cost 57. Find the cost of 6 pens and 5 pencils.

A.	48
B.	57
C.	51
D.	45

Find values of k for which the quadratic equation 4x² - kx + 3k = 0 has equal roots.

A.	48 only
B.	0 and 24
C.	0 only
D.	0 and 48

The sum of all the terms of the arithmetic progression 9, 4, -1, -6, ... is -2660. How many terms are there in this AP?

A.	34
B.	35
C.	37
D.	36

A vertical stick which is ^@ 24 \space cm^@ long casts a ^@15 \space cm^@ long shadow on the ground. At the same time, a vertical tower casts a ^@50 \space m^@ long shadow on the ground. Find the height of the tower.

A.	^@ 75 \space m ^@
B.	^@ 80 \space m ^@
C.	^@ 90 \space m ^@
D.	^@ 85 \space m ^@

Find the coordinates of a point ^@P^@ on the line segment joining ^@A(14, 28)^@ and ^@B(21, 35)^@ such that ^@ AP = \dfrac 47 AB ^@.

A.	^@(28, 42)^@
B.	^@(23, 37)^@
C.	^@(18, 32)^@
D.	None of these

If ^@8cosec^2 \space \theta - 4cot^2 \space \theta = 9,^@ then ^@sec \space \theta ^@ is equal to:

A.	^@2 \sqrt{5}^@
B.	^@\sqrt{5}^@
C.	^@ \dfrac {1}{2 \sqrt{3}}^@
D.	^@\dfrac {3}{\sqrt{5}}^@

A circle is inscribed in a ^@ \triangle ABC ^@, touching ^@ BC, CA, ^@ and ^@ AB ^@ at points ^@ P, Q, ^@ and ^@ R ^@ respectively. If ^@ AB = 12 \space cm, AQ = 9 \space cm ^@ and ^@ CQ = 7 \space cm ^@ then find the length of ^@ BC ^@.

A.	^@ 10 \space cm ^@
B.	^@ 3 \space cm ^@
C.	^@ 12 \space cm ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

If the perimeter of a semi-circular protractor is ^@ 126 \space cm^@, find the radius of the protractor.

A.	^@ 49 \space cm ^@
B.	^@ 24.5 \space cm ^@
C.	^@ 36.75 \space cm ^@
D.	^@ 12.25 \space cm ^@

A decorative block shown in the figure is made of two solids_a cube and a hemisphere. The base of the block is the cube with edge of 3.3 cm and the hemisphere attached on the top has a diameter of 2.3 cm. If the block to be painted, then the total area to be painted is:

A.	69.49 cm2
B.	61.18 cm2
C.	8.31 cm2
D.	None of these

Data regarding the height of the plants is given below.

^@ \begin{align} \text { Height of plants (in centimeters) } \end{align}^@	^@ 50 - 52^@	^@ 52 - 54^@	^@ 54 - 56^@	^@ 56 - 58^@	^@ 58 - 60^@	^@ 60 - 62^@	^@ 62 - 64^@
^@ \begin{align} \text { Number of plants } \end{align}^@	^@12^@	^@11^@	^@16^@	^@15^@	^@19^@	^@10^@	^@20^@

Find the mean height of the plants using the assumed mean method.

A.	^@60.49 \space cm^@
B.	^@ 57.49 \space cm^@
C.	^@54.49 \space cm^@
D.	^@57.6 \space cm^@

A die is thrown once. What is the probability of getting a number lying between ^@ 1 ^@ and ^@ 5 ^@ ?

A.	^@ \dfrac { 1 } { 5 } ^@
B.	^@ \dfrac { 1 } { 2 } ^@
C.	^@ \dfrac { 1 } { 4 } ^@
D.	^@ \dfrac { 1 } { 3 } ^@

In a ^@\triangle VWX, \angle X = 6W = 5(V + W).^@ The value of ^@\angle X ^@ is:

A.	^@5^\circ^@
B.	^@150^\circ^@
C.	^@68^\circ^@
D.	^@25^\circ^@

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 top when B is at the bottom?

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

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

A.
B.
C.
D.

Find the missing number

9	2	12
44	16	?

A.	64
B.	60
C.	56
D.	48

Which of the following can take the place of the blank in the series below?
E2V, G3T, I5R, _____, M11N

A.	K8Q
B.	L8Q
C.	K7P
D.	J7P

Which of the following is the next terms in the series
DFH, GIK, JLN, ______

A.	IOQ
B.	MOQ
C.	KMO
D.	IOM