A rational number equivalent to  

-4

-7

  is

A.	8 14
B.	-8 14
C.	8 -14
D.	None of these

Factorize: $$b^3 - 512 c^3 + 8 d^3 + 48 b c d$$

A.	$( b - 8 c + 2 d ) ( b^2 + 512 c^2 + 8 d^2 + 8 b c + 16 c d - 2 d b)$
B.	$( b - 8 c + 2 d ) ( b^2 + 64 c^2 + 4 d^2 + 8 b c + 16 c d - 2 d b)$
C.	$(8 b - c + 2 d ) ( b^2 + 64 c^2 + 4 d^2 + 8 b c + 16 c d - 2 d b)$
D.	None of these

The distance of a point $V$ from the $x$-axis is $-11$ and from the $y$-axis is $6.$ What are the coordinates of the point $V ?$

A.	$(-11,-6)$
B.	$(-11,6)$
C.	$(6,-11)$
D.	$(0,0)$

A point of the form (b, -b) lies on the line:

A.	x + y = 0
B.	y = 0
C.	x = 0
D.	x = y

If AB and PQ are parallel, compute the measure of angle X.

A.	258°
B.	263°
C.	448°
D.	443°

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.	$\triangle ADC \cong \triangle ABC$
B.	$\triangle ADC \cong \triangle BEC$
C.	$\triangle ADC \cong \triangle ABD$
D.	$\triangle ADC \cong \triangle AEB$

ABCD is a quadrilateral and ∠A = ∠B = ∠C = ∠D = 90°. Then ABCD can be called as:

A.	Parallelogram
B.	Rectangle
C.	Circle
D.	Both rectangle and parallelogram

The area of a trapezium is 208 cm² and the distance between its parallel sides is 8 cm. If one of the parallel sides is of length 25 cm, find the length of the other side.

A.	27 cm
B.	13.5 cm
C.	25 cm
D.	54 cm

If O is center of the circle and ∠OAB = 50°, the measure of ∠ACB is:

A.	50°
B.	45°
C.	30°
D.	40°

Draw a circle with its two chords $PQ$ and $RS$ such that $PQ$ is not parallel to $RS$. Draw the perpendicular bisector of $PQ$ and $RS$. At what point do they intersect each other.

A.	Center of the circle
B.	Anywhere in the circle
C.	On the circumference
D.	None of the above

Find the area of a quadrilateral whose sides are 6 cm, 8 cm, 9 cm and 17 cm and the angle between first two sides is a right angle.

A.	180 cm2
B.	36 cm2
C.	24 cm2
D.	60 cm2

The heights of two cylinders are in the ratio 3:1 and their radii are in the ratio 2:3. Find the ratio of their volumes.

A.	4:3
B.	3:4
C.	2:1
D.	1:2

The mean of the following data is $10.6.$ The value of $p$ is:

$x_i$	$7$	$9$	$11$	$13$	$15$
$f_i$	$7$	$p$	$15$	$3$	$6$

A.	$17$
B.	$13$
C.	$9$
D.	$8$

Christophe draws $3$ cards out of a deck of $52$ cards. What is the probability that he draws $a \space 10, \space a \space 9, \space and \space a \space Queen$?

A.	$\dfrac { 64 } { 270725 }$
B.	$\dfrac { 256 } { 22100 }$
C.	$\dfrac { 64 } { 22100 }$
D.	$\dfrac { 3 } { 52 }$

Which of following statements are sufficient to answer the question - Who is Benjamin's father?
I. Axel and Jordan are brothers.
II. Jordan's wife is the sister of Benjamin's wife.

A.	Statement I alone is sufficient to answer the problem.
B.	Statements I and II both are needed.
C.	Statement II alone is sufficient to answer the problem.
D.	Statements I and II both are not sufficient

If $f(x) = - 3x^2 + 2 \sqrt2x + 4$, find the value of $f( \sqrt2)$.

A.	2
B.	-5
C.	-1
D.	3