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

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

Find a quadratic polynomial whose zeros are ^@ - \dfrac { 4 } { 5 } \space \text{and} \space - \dfrac { 6 } { 3 } ^@.

A.	^@ x^2 + 15x + 24 ^@
B.	^@ 42 x^2 + 15x + 24 ^@
C.	^@ 42 x^2 + 15x + 1 ^@
D.	^@ 15 x^2 + 42 x + 24 ^@

On selling a pencil-box at ^@40 \%^@ gains and glass-box at ^@50 \%^@ gain, a seller gains ^@R 17^@. If he sells the pencil-box at ^@40 \%^@ gain and glass-box at ^@70 \%^@ gain, he gains ^@R 23^@. Find the actual price of pencil-box and glass-box .

A.	^@ R 10, R 35 ^@
B.	^@ R 15, R 40 ^@
C.	^@ R 20, R 45 ^@
D.	^@ R 5, R 30 ^@

A family has 450 kg of rice for x number of weeks. If they need to use same amount of rice for 3 more weeks, they need to cut down their weekly consumption of rice by 5 kgs. Find value of x.

A.	14 weeks
B.	15 weeks
C.	16 weeks
D.	17 weeks

Which term of the following two arithmetic progressions will have the same value?
-1, 5, 11, 17..., and
152, 149, 146, 143...

A.	20
B.	17
C.	15
D.	18

Two poles of heights ^@ 27 \space metres^@ and ^@51 \space metres^@ stand vertically on a plane ground. If the distance between their feet is ^@32 \space metres^@, find the distance between their tops.

A.	^@49 \space m^@
B.	^@41 \space m^@
C.	^@40 \space m^@
D.	^@37 \space m^@

Find the coordinates of a point ^@P^@ on the line segment joining ^@A(28, 14)^@ and ^@B(21, 7)^@ such that ^@ AP = \dfrac 27 AB ^@.

A.	^@(26, 12)^@
B.	^@(36, 22)^@
C.	^@(31, 17)^@
D.	None of these

Without using trignometric tables, evaluate the value of ^@tan {\space} 27^\circ tan {\space} 63^\circ + cot {\space} 63^\circ cot {\space} 27^\circ ^@.

A.	2
B.	4
C.	3
D.	None of these

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

A.
B.
C.
D.

Find the difference between the area of a regular hexagonal plot each of whose side is ^@ 52 \space m ^@ and the area of the circular swimming tank inscribed in it. ^@ \bigg[π = \dfrac { 22 } { 7 } \text { and } \sqrt { 3 } = 1.732 \bigg]^@

A.	^@ 652.22 \space m^2 ^@
B.	^@ 6372.77 \space m^2 ^@
C.	^@ 13397.75 \space m^2 ^@
D.	^@ \text { None of these } ^@

A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in the figure. If the height of the cylinder 34 cm and its base is of radius 4 cm, then the total surface area of the article when it is ready is:

A.	1156 cm2
B.	854.86 cm2
C.	1056 cm2
D.	None of these

If the median value of the data below is 106. What is the value of x?

Class interval	80-90	90-100	100-110	110-120	120-130
Frequency	15	x	20	18	12

A.	11
B.	13
C.	10
D.	12

A box contains 4 purple and 4 blue balls. Megan takes out a ball, puts it back, and then takes out another ball. What is the probability that both balls were purple?

A.	4 8
B.	4 64
C.	16 32
D.	16 64

Given a ^@ \Delta ABC^@ in which ^@\angle B = 90^\circ^@ and ^@AB = \sqrt{3} BC^@. Find ^@\angle C ^@.

A.	^@90^\circ^@
B.	^@180^\circ^@
C.	^@75^\circ^@
D.	^@60^\circ^@

Faces of a cube are marked with 1,2,3,4,5 and 6. If two views of a cube are as shown below, what will be there on the bottom when 2 is at the top?

A.	5
B.	6
C.	3
D.	Cannot be determined

Which of following shows relation between Cat, Horse and Animal.

A.
B.
C.
D.

Find the next term of given sequence ..
14, 14, 17, 25, 40, 64, ....

A.	135
B.	93
C.	99
D.	123

Find the odd one out in the given set:
JOT, QWA, INS, SXC

A.	QWA
B.	JOT
C.	INS
D.	SXC

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 A ?

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