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)