In a school annual day function parade, a group of 1400 students need to march behind the band of 800 members. The two groups have to march in the same number of columns. What is the maximum number of columns in which they can march?

A.	201
B.	200
C.	199
D.	None of above

Find a quadratic polynomial, the sum and product of whose zeros are ^@ 14 ^@ and ^@13^@ respectively.

A.	^@ \space x^2 + 13 x - 14 ^@
B.	^@ x^2 - 14 x + 13 ^@
C.	^@ \space 2x^2 + 13 x - 14 ^@
D.	^@ \text{ None of these } ^@

The pair of equations x = -5 and x = -6 has

A.	no solution
B.	two solutions
C.	a unique solution
D.	infinitely many solutions

Solve quadratic equation ^@x^2 + (\dfrac { p } { p + q } + \dfrac { p + q } { p })x + 1^@ ^@= 0 ^@ using factorization.

A.	^@x = \dfrac { p } { p + q } \space or, \space x = \dfrac{ p + q } { p }^@
B.	^@ x = - \dfrac { p } { p + q } \space or \space x = - \dfrac { p + q } { p }^@
C.	^@x = \dfrac { p } { p + q } \space or, \space x = -\dfrac{ p + q } { p }^@
D.	^@x = -\dfrac { q } { p + q } \space or, \space x = -\dfrac{ p + q } { p }^@

Which of the following is the middle term of the arithmetic progression ^@10, 17, 24,...,248^@?

A.	^@122^@
B.	^@143^@
C.	^@136^@
D.	^@129^@

^@ D^@, ^@E^@ and ^@F^@ are respectively the midpoints of sides ^@AB^@, ^@BC^@ and ^@CA^@ of ^@\Delta ABC^@. Find the ratio of the areas of ^@\Delta DEF^@ and ^@\Delta ABC^@.

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

Find those points on the ^@y^@-axis, which are at a distance of 17 units from the point ^@A(15,-2)^@.

A.	^@ (0,6) \text{ and } (0,-10) ^@
B.	^@ (0,6) \text{ and } (0,-17) ^@
C.	^@ (0,15) \text{ and } (0,-10) ^@
D.	^@ (0,13) \text{ and } (0,-10) ^@

If ^@ cos A ^@ = ^@ \dfrac { 16 } { 20 } ^@, find ^@ cosec A ^@.

A.	^@ \dfrac { 20 } { 12 } ^@
B.	^@ \dfrac { 16 } { 12 } ^@
C.	^@ \dfrac { 20 } { 16 } ^@
D.	^@ \dfrac { 5 } { 3 } ^@

If the lengths of tangents drawn from an external point ^@A^@ to a point ^@P^@ and ^@Q^@ on the circle are equal then ^@AP^@ is equal to:

A.	^@ OP ^@
B.	^@ AQ ^@
C.	^@ OQ ^@
D.	^@ OA ^@

A.
B.
C.
D.

What is the area of the largest triangle that can be inscribed in a semi-circle of radius ^@r^@ units?

A.	^@ r^2 \text{ sq. units } ^@
B.	^@ 4 r^2 \text{ sq. units } ^@
C.	^@ \dfrac { 1 } { 4 } \text{ sq. units } ^@
D.	^@ \text { None of these } ^@

A building is in form of a right circular cylinder and cone as shown in the picture. The radius of cone and cylinder is 3 meters. The height of cylinder and cone are 11.5 meters and 4 meters respectively. Find the outer surface area of the building. (Assume π =  

22

7

 )

A.	132 m2
B.	528 m2
C.	264 m2
D.	792 m2

Find the median of the following data

Class interval	100-110	110-120	120-130	130-140	140-150
Frequency	13	8	14	10	25

A.	125
B.	140
C.	135
D.	130

A piggy bank contains ^@12^@ ₫1 coins, ^@14^@ ₫2 coins, ^@35^@ ₫5 coins, and ^@31^@ ₫10 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability the coin falling out will be of value less than ^@₫2^@.

A.	^@ \dfrac { 3 } { 80 } ^@
B.	^@ \dfrac { 49 } { 23 } ^@
C.	^@ \dfrac { 3 } { 23 } ^@
D.	^@ \dfrac { 45 } { 23 } ^@

Which term of the arithmetic progression 7, 14, 21, 28 is 427?

A.	58
B.	61
C.	60
D.	59

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 F is at the bottom?

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

In this diagram, the triangle represents women, the square represents engineers and the circle represents sports persons. Find the number of engineers who are not sports persons.

A.	9
B.	4
C.	2
D.	1

Find the next term of given sequence ..
16, 17, 21, 30, 46, ....

A.	63
B.	71
C.	72
D.	75

Which of the following choices would replace the blank below
DFHJ:IKMO::HJLN:____

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

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

A.	1
B.	3
C.	5
D.	Cannot be determined