^@\dfrac{1}{ \sqrt{ 3 } }^@ is __________ number

A.	a rational
B.	a whole
C.	an irrational
D.	a natural

If all the zeroes of the cubic polynomial ^@x^3 + cx^2 + dx + b^@ are equal, then

A.	^@bd = 9c^@
B.	^@cb = 9d^@
C.	^@bcd = 9^@
D.	^@cd = 9b^@

In a ^@\triangle LMN, \angle N = 6M = 5(L + M).^@ The value of ^@\angle N ^@ is:

A.	^@5^\circ^@
B.	^@27^\circ^@
C.	^@25^\circ^@
D.	^@150^\circ^@

Solve quadratic equation a²b²x² + b²x - a²x - 1 = 0 using factorization.

A.	x = -1/a2, x = 1/b2
B.	x = -1/a, x = 1/b
C.	x = 1/a, x = -1/b
D.	x = a2, x = -b2

What is the difference between the 31^st term and 20^th term of the arithmetic progression 11, 20, 29, 38?

A.	108
B.	117
C.	99
D.	81

A ladder ^@ 45 \space m^@ long reaches a window which is ^@27 \space m^@ above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window ^@36 \space m^@ high. Find the width of the street.

A.	^@ 63 \space m ^@
B.	^@ 61 \space m ^@
C.	^@ 64 \space m ^@
D.	^@ 70 \space m ^@

Find the point on the ^@y^@-axis which is equidistant from the points ^@A(-7,5)^@ and ^@B(7,-1)^@.

A.	^@{P(0,2)}^@
B.	^@{P(2,0)}^@
C.	^@{P(5,0)}^@
D.	^@{P(-1,0)}^@

Evaluate:

^@ \dfrac { cosec^2 \space 30^\circ + 3 \space tan^2 \space 45^\circ + 3 \space sec^2 \space 30^\circ + 4 \space sin^2 \space 60^\circ } { sin \space 90^\circ + cosec \space 90^\circ - tan^2 \space 45^\circ } ^@

A.	22
B.	14
C.	10
D.	18

In the given figure, ^@ ABC ^@ is a right-angled triangle with ^@ AB = 6 \space cm ^@ and ^@ AC = 8 \space cm ^@. A circle with center ^@ O ^@ has been inscribed inside the triangle. Calculate the value of ^@ r ^@, the radius of the inscribed circle.

A.	^@ 4 \space cm ^@
B.	^@ 2 \space cm ^@
C.	^@ 10 \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 ^@ 60^\circ ^@, find its area.

A.	^@ 641.67 \space cm^2 ^@
B.	^@ 621.67 \space cm^2 ^@
C.	^@ 3846.5 \space cm^2 ^@
D.	^@ \text { None of these } ^@

A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in the figure. The height of the entire rocket is ^@ 29 \space cm, ^@ while the height of the conical part is ^@ 16 \space cm. ^@ The base of the conical portion has a diameter of ^@ 19 \space cm, ^@ which the base diameter of the cylindrical portion is ^@ 14 \space cm. ^@ If the conical portion is painted yellow, find the area of the rocket painted with yellow colours.

A.	^@ 218.05 \space cm^2 ^@
B.	^@ 684.66 \space cm^2 ^@
C.	^@ 689.14 \space cm^2 ^@
D.	^@ 159.36 \space cm^2 ^@

The following table shows the data of absent days of ^@69^@ students of class ^@X^@ throughout the year. Find the mode of this distribution.

^@ \text { Absent days } ^@	^@ \text { Number of students }^@
^@ \text { Less than } 10 ^@	^@ 2 ^@
^@ \text { Less than } 20 ^@	^@ 13 ^@
^@ \text { Less than } 30 ^@	^@ 26 ^@
^@ \text { Less than } 40 ^@	^@ 35 ^@
^@ \text { Less than } 50 ^@	^@ 46 ^@
^@ \text { Less than } 60 ^@	^@ 57 ^@
^@ \text { Less than } 70 ^@	^@ 69 ^@

A.	^@21.33^@
B.	^@ 23.33 ^@
C.	^@26.33^@
D.	^@24.01^@

Cheayean and Chito sit on the 6-member board of directors for company L. If the board is to be split up into two 3-person subcommittees, what is the percentage that Chito and Cheayean are included in the same sub-committee?

A.	37%
B.	41%
C.	40%
D.	54%

If one of the zeroes of a quadratic polynomial of the form ^@x^2 + ax + b^@ is the negative of the other, then it

A.	has no linear term and the constant term is positive.
B.	has no linear term and the constant term is negative.
C.	can have a linear term but the constant term is negative.
D.	can have a linear term but the constant term is positive.

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 face opposite to face F?

A.	F
B.	E
C.	D
D.	A

In this diagram, the triangle represents women, the square represents lawyers and the circle represents tall. Find the number of lawyers who are tall but not women.

A.	5
B.	2
C.	8
D.	7

Find the next term of given sequence ..
13, 65, 91, 143, 169, 221, ....

A.	260
B.	234
C.	247
D.	254

Which of the following choices would replace the blank below
DFH:WUS::HJL:____

A.	SQO
B.	RPN
C.	SPP
D.	TRP

Find the next term of given sequence ..
17, 73, 371, 2233, 15639, 125121, ....

A.	1126094
B.	1126103
C.	1126099
D.	1126109