Edward and Steven are racing on a circular track. If Edward takes 49 minutes and Steven takes 63 minutes to complete the round. If they both start at the same point at the same time and go in same direction, after how many minutes will they meet again at the start point?

A.	60
B.	441
C.	63
D.	None of above

Find a quadratic polynomial, the sum and product of whose zeros are ^@ -11 ^@ and ^@-12^@ respectively.

A.	^@ \space 2x^2 -12 x + 11 ^@
B.	^@ \space x^2 -12 x + 11 ^@
C.	^@ x^2 + 11 x -12 ^@
D.	^@ \text{ None of these } ^@

7 chairs and 5 tables cost $3850 and 6 chairs and 9 tables cost $4950. Find the cost of one chair and one table separately.

A.	$300 and $350
B.	$300 and $400
C.	$250 and $350
D.	$300 and $300

Find the values of ^@ k ^@ for which ^@ 36 p^2 + k p + 6 ^@ ^@ = 0 ^@ has real roots.

A.	^@k \geq \dfrac { 1225 } { 24 }^@
B.	^@ k \geq \sqrt{ 864 } ^@
C.	^@k \leq 144 ^@
D.	None of these

The 11^th term of an arithmetic progression has the value 0. Which term of the AP is 3 times the 26^th element?

A.	58
B.	59
C.	57
D.	56

^@ A ^@ and ^@ B ^@ are points on the sides ^@PR^@ and ^@QR ^@ respectively of a ^@\Delta PQR^@ such that ^@ RA = 15\space cm, RP = 60\space cm, RQ = 40\space cm, \text { and } BQ = 30\space cm ^@. Find the relation between ^@ AB ^@ and ^@ PQ. ^@

A.	^@ AB = PQ ^@
B.	^@AB \nparallel PQ^@
C.	^@AB \parallel PQ^@
D.	None of these

If point ^@P(x, -7)^@ divides the line segment joining ^@A(-10,5)^@ and ^@B(10,-15)^@, find the value of ^@x^@.

A.	^@9^@
B.	^@4^@
C.	^@2^@
D.	^@5^@

(tanθ + 2) (2 tanθ + 1) = ?

A.	5 tanθ - sec2θ
B.	5 tanθ - 2 sec2θ
C.	5 tanθ + sec2θ
D.	5 tanθ + 2 sec2θ

Two concentric circles are of radii ^@ 5 \space cm ^@ and ^@ r \space cm ^@ ^@ ( r > 5 ) ^@.A chord of the larger circle of length ^@ 50 \space cm ^@, touches the smaller circle. What is the value of ^@ r ^@ ?

A.	^@ 51 \space cm ^@
B.	^@ 12.75 \space cm ^@
C.	^@ 25.5 \space cm ^@
D.	^@ \text{ None of these } ^@

A.
B.
C.
D.

A car has two wipers which do not overlap. Each wiper has a blade of length ^@ 28 \space cm ^@ sweeping through an angle of ^@ 120^\circ ^@. Find the total area cleaned at each sweep of the blades.

A.	^@ 29.33 \space cm^2 ^@
B.	^@ 1642.67 \space cm^2 ^@
C.	^@ 58.67 \space cm^2 ^@
D.	^@ \text { None of these } ^@

A solid metallic right circular cone ^@24 \space cm^@ high and whose vertical angle is ^@120^\circ^@ is cut into two parts at the middle point of its height by a plane parallel to the base. If the frustum, so obtained, be drawn into a wire of diameter ^@\dfrac { 1 } { 3 } \space cm^@, find the length of the wire.

A.	^@ 36288 \space cm^3^@
B.	^@ 1728 \space cm^3^@
C.	^@ 435456 \space cm^3^@
D.	^@ 1729 \space cm^3^@

Choose the correct median for the following data:

^@ \text{ Diameter (in mm) }^@ ^@ \text{ Number of screws }^@ ^@ 10 - 14 ^@ ^@ 13 ^@ ^@ 15 - 19 ^@ ^@ 12 ^@ ^@ 20 - 24 ^@ ^@ 15 ^@ ^@ 25 - 29 ^@ ^@ 16 ^@ ^@ 30 - 34 ^@ ^@ 27 ^@ ^@ 35 - 39 ^@ ^@ 29 ^@

A.	^@28.5 \space mm^@
B.	^@27.5 \space mm^@
C.	^@29.5 \space mm^@
D.	^@30.5 \space mm^@

From among a group of 5 men, 5 women and 6 children, 2 individuals are selected randomly. What is the probability that exactly 1 among the chosen are children?

A.	60 240
B.	55 240
C.	60 120
D.	60 122

If ^@ cot A ^@ = ^@ \dfrac { 36 } { 27 } ^@, find ^@ tan A ^@.

A.	^@ \dfrac { 45 } { 27 } ^@
B.	^@ \dfrac { 27 } { 45 } ^@
C.	^@ \dfrac { 3 } { 4 } ^@
D.	^@ \dfrac { 36 } { 27 } ^@

Faces of a cube are marked with 1,2,3,4,5 and 6. If three views of cube are as shown below, what will be there on the face opposite to face 1?

A.	6
B.	3
C.	2
D.	4

Following chart shows number of students in a school who play one of three sports. Find the number of students who play Football and Badminton.

A.	23
B.	26
C.	27
D.	30

Find the next term of given sequence ..
236, 214, 192, 170, 148, 126, 104, ....

A.	60
B.	76
C.	82
D.	90

Which of the following is the next terms in the series given below?
FV, JT, NR, RP, ___

A.	UM
B.	WM
C.	UN
D.	VN

Find the next term of given sequence ..
15, 105, 165, 195, 255, 285, ....

A.	345
B.	330
C.	351
D.	360