An example of a rational number between ^@ \sqrt{ 7 } ^@ and ^@ \sqrt{ 13 } ^@ is:

A.	^@ 3.1 ^@
B.	^@ 3.7 ^@
C.	^@ \dfrac{ \sqrt{ 7 } + \sqrt{ 13 } } { 2 } ^@
D.	^@ \dfrac{ \sqrt{ 7 } \times \sqrt{ 13 } } { 2 } ^@

If ^@x = 4^@ and ^@x = 0^@ are the roots of the polynomial, ^@f(x) = 15x^{ 3 } - cx^{ 2 } + cx + d^@, what are the values of ^@c^@ and ^@d^@?

A.	^@c = 80, d = 0^@
B.	^@c = 79, d = 82^@
C.	^@c = 0, d = 80^@
D.	^@c = 86, d = 79^@

For the points ^@ A(-5, 40), ^@ ^@ B(81, 39), ^@ and ^@ C(-80, 43), ^@ find the value of ^@ (\text{ordinate } C) ^@^@- (\text{ordinate } B) ^@^@- (\text{abscissa } A) ^@.

A.	^@10^@
B.	^@19^@
C.	^@13^@
D.	^@9^@

Find the value of ^@x^@ for which ^@y = -6^@ is a solution of the linear equation ^@6 x - 4 y = 48^@.

A.	^@19^@
B.	^@5^@
C.	^@2^@
D.	^@4^@

The vertex of the ^@ \angle PQR ^@ given in the following figure is:

A.	P
B.	^@ QR ^@
C.	Q
D.	R

If ^@AB ^@ and ^@ CD ^@ are perpendicular to ^@ BC ^@ and ^@ AB = CD^@, then ^@ EB = ^@?

A.	^@ED^@
B.	^@EC^@
C.	^@EA^@
D.	^@ \text{None of these} ^@

In a parallelogram ^@ABCD^@, the bisectors of ^@\angle A^@ and ^@\angle B^@ intersect at ^@S^@, ^@ \angle B ^@ and ^@ \angle C ^@ at ^@R^@, ^@ \angle C^@ and ^@ \angle D ^@ at ^@Q^@ and ^@ \angle D^@ and ^@\angle A^@ at ^@P^@. What kind of a quadrilateral is ^@PQRS^@?

A.	^@ Rhombus ^@
B.	^@ Trapezium ^@
C.	^@ Square ^@
D.	^@ Rectangle ^@

In the rhombus, ∠PRS = 4X - 378° and ∠QSP = 2X - 12°. Find the value of X.

A.	68°
B.	80°
C.	92°
D.	160°

There is a circular park of radius 22 meters. Three friends , , and are sitting at equal distance on its boundary each having a toy telephone (connected using strings) in their hands to talk to each other. Find the length of the string between a pair of the telephones.

A.	33 m
B.	44 m
C.	22√3 m
D.	22√2 m

Which of the following angles can be constructed using ruler and compass only?

A.	^@ 20^\circ ^@
B.	^@ 70^\circ ^@
C.	^@ 110^\circ ^@
D.	^@ 37.5^\circ ^@

A field in the shape of a trapezium has parallel sides of 26 m and 23 m while the non parallel sides are 25 m and 26 m. Find the amount of money the farmer has to pay if the cost of sowing the seeds per m² area is $0.5.

A.	$294
B.	$441
C.	$588
D.	$18

The heights of two cylinders are in the ratio 1:5 and their radii are in the ratio 5:2. Find the ratio of their volumes.

A.	5:4
B.	1:2
C.	4:5
D.	2:1

The mean of the following frequency distribution is ^@14.05.^@

^@ x_i ^@	^@1^@	^@4^@	^@7^@	^@10^@	^@13^@	^@16^@	^@19^@	^@ \text{ Total } ^@
^@f_i^@	^@?^@	^@6^@	^@10^@	^@15^@	^@4^@	^@?^@	^@48^@	^@ 100 ^@

The missing frequencies are:

A.	^@5, 12^@
B.	^@9, 12 ^@
C.	^@ 5, 13^@
D.	^@10, 15^@

In 1996, the meteorological office predicted the weathers completely right for the months of february and april, and completely wrong for all the other months. What is the probability that the forecast was wrong for a given day that year?

A.	304 365
B.	307 365
C.	59 365
D.	307 366

If xy represents a two-digit number, where x and y are positive single digits, which of the following CANNOT be true?

A.	3x = y
B.	y + x = 8x
C.	x = y
D.	y - x = 9

ABCD is a trapezium with sides AB and CD being parallel to each other. If P and Q are the midpoints of the diagonals of this trapezium, then which of the following statement is true:

A.	PQ || AB, PQ =   |AB - CD| 2
B.	PQ || AB only if AD = BC
C.	PQ =   (AB + BC) 3
D.	PQ || AB, PQ =   (AB + CD) 2