Out of the three rational numbers,  

-8

13

 ,  

8

-14

  and  

-8

18

 , which is greater?

A.	8 -14
B.	Rational numbers can not be compared
C.	-8 18
D.	-8 13

Find the zero of the polynomial ^@ q(y) = y - 10^@.

A.	^@ 10 ^@
B.	^@ 9 ^@
C.	^@ 11 ^@
D.	^@ \text{ None of these } ^@

What is the area of the triangle formed by joining the points ^@A(3, 0), B(-7, 0) \text{ and } C(4, 5)^@?

A.	^@32^@
B.	^@23^@
C.	^@35^@
D.	^@25^@

The equation of a straight line which is parallel to x-axis, and is at a distance of p from x-axis is

A.	x + y = p
B.	x = p
C.	x - y = p
D.	y = p

If AC and EF are parallel, find ∠ADB.

A.	45°
B.	65°
C.	75°
D.	85°

In the figure, it is given that ^@AC = BC, \angle 4 = 2 \space \angle 1^@ and ^@ \angle 3 = 2 \space \angle 2. ^@ Which of the following is true?

A.	^@\triangle ADC \cong \triangle AEB^@
B.	^@\triangle ADC \cong \triangle ABC^@
C.	^@\triangle ADC \cong \triangle ABD^@
D.	^@\triangle ADC \cong \triangle BEC^@

^@ABCD^@ is a rectangle and point ^@P^@ is such that ^@PA = 5 \text { cm }, PC = 4 \text { cm, } \text { and } PD = 3 \text { cm. }^@ Find the length of ^@PB^@.

A.	^@ 4 \sqrt { 2 } \text{ cm } ^@
B.	^@ 6 \text{ cm }^@
C.	^@7 \text{ cm } ^@
D.	^@ 5 \sqrt { 2 } \text{ cm } ^@

In the rhombus, ∠PRS = 5X - 344° and ∠QSP = 2X - 14°. Find the value of X.

A.	50°
B.	64°
C.	78°
D.	128°

The bisectors of opposite angles of a cyclic quadrilateral ABCD intersect the circle circumscribing it at the points P and Q. If radius of the circle is 12 cm, find the distance between points P and Q.

A.	12 cm
B.	24 cm
C.	24√2 cm
D.	12√2 cm

To construct an angle of ^@ 15^\circ, ^@ we bisect:

A.	^@ 37.5^\circ ^@
B.	^@ 30^\circ ^@
C.	^@ 45^\circ ^@
D.	^@ 60^\circ ^@

The perimeter of a quadrilateral is ^@48 \space cm^@. If the first three sides of a quadrilateral, taken in order are ^@14 \space cm, 13 \space cm^@, and ^@12 \space cm^@ respectively, and the angle between fourth side and the third side is a right angle, find the area of the quadrilateral.

A.	^@276 \space cm^2^@
B.	^@84 \space cm^2^@
C.	^@193.2 \space cm^2^@
D.	^@138 \space cm^2^@

A sphere is expanded to a bigger sphere such that its volume increases by a factor of 64, find the change in its radius.

A.	16 times
B.	4 times
C.	64 times
D.	None of these

If the mean of ^@ 4 ^@ observations ^@ x, x + 2, x + 4, x + 6^@ is ^@ 6 ^@, find the value of ^@ x.^@

A.	^@ 8 ^@
B.	^@ 5 ^@
C.	^@ 10 ^@
D.	^@ 3 ^@

What is the probability that an integer in the set 1, 2, 3, ...158 is divisible by 2 and not divisible by 3?

A.	54 159
B.	53 158
C.	51 155
D.	52 160

How many parallelograms are there in the given figure?

A.	^@ 64 ^@
B.	^@ 69 ^@
C.	^@ 57 ^@
D.	^@ 60 ^@

Factorize (4x² - 20x + 25).

A.	(x + 1) (4x - 25)
B.	(x - 1) (4x - 25)
C.	(2x + 5) (2x - 5)
D.	(2x - 5) (2x - 5)