In a seminar, the number of participants in German, English, and French is 154, 133, and 161 respectively. Find the number of rooms required to house them if, in each room, the same number of participants are to be accommodated and all of them must belong to the same language.

A.	448
B.	7
C.	67298
D.	64

If two zeros of polynomial ^@x^3 + bx^2 + cx + d^@ are ^@5 + \sqrt{ 2 }^@ and ^@5 - \sqrt{ 2 }^@, find its third zero.

A.	^@- c - 10^@
B.	^@10 - b^@
C.	^@-b - 10^@
D.	^@c - 10^@

The sum of the numerator and the denominator of a fraction is 12 less than thrice the denominator. If each of the numerator and denominator is increased by 4, the fraction becomes ^@\dfrac { 10 }{ 13 }.^@ Find the fraction.

A.	^@\dfrac { 6 }{ 14 } ^@
B.	^@\dfrac { 7 }{ 9 } ^@
C.	^@\dfrac { 6 }{ 9 } ^@
D.	^@\dfrac { 9 }{ 10 } ^@

A piece of copper wire costs ^@$896^@. If it was ^@4 \space meters^@ longer and the price of each meter of copper wire costs ^@$4^@ less, the total cost of the piece would remain unchanged. Find the length of the copper wire.

A.	^@29 \text{ meter }^@
B.	^@27 \text{ meter }^@
C.	^@26 \text{ meter }^@
D.	^@28 \text{ meter }^@

The 9^th term of an arithmetic progression has the value 0. Which term of the AP is 3 times the 16^th element?

A.	30
B.	27
C.	29
D.	33

The areas of two similar triangles ^@ \Delta ABC ^@ and ^@\Delta PQR^@ are ^@ 4 \space cm^2^@ and ^@100 \space cm^2^@ respectively. If ^@QR = 9 \space cm^@, find ^@BC^@

A.	^@ 4.8 \space cm ^@
B.	^@ 2.8 \space cm ^@
C.	^@ 1.8 \space cm ^@
D.	^@ 3.8 \space cm ^@

In what ratio does the point ^@P(1,-7)^@ divide the line segment joining ^@A(7,-28)^@ and ^@B(-7,21)^@?

A.	^@1 : 4^@
B.	^@3 : 1^@
C.	^@3 : 4^@
D.	^@4 : 3^@

^@\dfrac{ 1 }{ 1 + sec \theta } + \dfrac {1} { 1 - sec \theta }^@ = ?

A.	^@2 sec^2 \theta^@
B.	^@2 cot^2 \theta^@
C.	^@2 tan^2 \theta^@
D.	^@-2 cot^2 \theta^@

In the given figure, ^@ PA ^@ is a tangent from an external point ^@ P ^@ to a circle with center ^@ O ^@. If ^@ \angle BOP = 144^\circ ^@, find ^@ \angle APO ^@.

A.	^@ 54^\circ ^@
B.	^@ 64^\circ ^@
C.	^@ 69^\circ ^@
D.	^@ 59^\circ ^@

A.
B.
C.
D.

To warn ships for underwater rocks, a lighthouse throws a red colored light over a sector of angle ^@ 75^\circ ^@ to a distance of ^@ 5.6 \space km^@. Find the area of the sea over which the ships are warned. ^@ \bigg( ^@ Use ^@ \pi = \dfrac { 22 } { 7 } \bigg)^@

A.	^@ 20.53 \space km^2 ^@
B.	^@ 7.33 \space km^2 ^@
C.	^@ 6.53 \space km^2 ^@
D.	^@ \text { None of these } ^@

A plastic toy consists of a right circular cylinder and a cone as shown in the picture. The radius of the cone and the cylinder is 3 cm. The height of the cylinder and the cone is 25 cm and 9 cm respectively. If the density of plastic is 3 grams per cm³, find the weight of the plastic toy. (Assume π =  

22

7

 )

A.	3.564 kg
B.	7.128 kg
C.	2.376 kg
D.	4.752 kg

The following table shows the distribution of the amount that the families living in a colony spend on groceries every month. Find the mean expenditure of each family on groceries.

Expenditure (in $)	1200-1400	1400-1600	1600-1800	1800-2000	2000-2200
Number of Families	22	18	18	18	24

A.	$1708
B.	$1713
C.	$1703
D.	$1698

If a prime number is less than 31, what is the probability that it is also less than 23.

A.	4 8
B.	4 5
C.	5 7
D.	6 5

A train, traveling at a uniform speed for 2100 km, would have taken 2 hours less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.

A.	64 km/hour
B.	66 km/hour
C.	70 km/hour
D.	77 km/hour

A dice has numbers ^@1^@ to ^@6,^@ such that sum of opposite faces are always ^@7.^@ Which is the correct view of dice^@?^@

A.
B.
C.
D.

Following chart shows number of students in a school who got distinction in one of three subjects. Find the number of students who got distinction in Physics and Maths.

A.	28
B.	33
C.	25
D.	29

Find the next term of given sequence.
22, 24, 27, 32, 39, 50, 63, ....

A.	73
B.	83
C.	85
D.	80

Which of the following choices would replace the blank below
CEG:XVT::HJL:____

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

Which of the following choices would replace the blank below?
CEGI:____::IKMO:MOQS

A.	GIKM
B.	NPRT
C.	MOQR
D.	LNPR