How is the number $0.2\overline{ 13 }$ written in fraction? (Reduce your answer to the lowest terms)

A.	$\dfrac{ 211 }{ 990 }$
B.	$\dfrac{ 12 } { 55 }$
C.	$\dfrac{ 72 } { 329 }$
D.	$\dfrac{ 211 } { 987 }$

What is the value of $k$ for which the given polynomial $-4x^ { 3 }-4x^ { 2 }-x + k$ is divisible by $2x-1$?

A.	$-2$
B.	$2$
C.	$10$
D.	$-10$

Find the value of '$x$' in the ordered pair $(x, -8)$ if the ordinate of the pair is $8$ more than the abscissa.

A.	$-16$
B.	$-15$
C.	$-17$
D.	$-4$

Which of the following is the graph of $x + y = 8$ and $x - y = 2$?

A.
B.
C.
D.	None of these

If AB and CD are parallel, find the value of ∠x.

A.	70°
B.	100°
C.	120°
D.	110°

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

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

In parallelogram ABCD, CD is smaller than BC as shown below:

A.	x = y
B.	y > x
C.	y < x
D.	Can not be determined from the given data

The area of a trapezium is 292.5 cm² and the distance between its parallel sides is 15 cm. If one of the parallel sides is of length 30 cm, find the length of the other side.

A.	9 cm
B.	18 cm
C.	4.5 cm
D.	7 cm

Two circles with radii of 3 and 7 are drawn with the same center. The smaller inner circle is painted blue, and the part outside the smaller circle and inside the larger circle is painted orange. What is the ratio of the areas painted orange to the area painted blue?

A.	41:10
B.	41:9
C.	4:1
D.	40:9

Which of the following angles cannot be constructed using ruler and compass only?

A.	$25^\circ$
B.	$75^\circ$
C.	$120^\circ$
D.	$15^\circ$

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are $a, b,$ and $c,$ find the area of the triangle.

A.	$\dfrac { abc } { 3 }$
B.	$\dfrac { (a+b+c)^2 } { \sqrt { 3 } }$
C.	$(a + b + c) \sqrt { 3 }$
D.	$a + b + c$

The heights of two cylinders are in the ratio 1:3 and their radii are in the ratio 5:1. Find the ratio of their volumes.

A.	3:25
B.	5:3
C.	3:5
D.	25:3

The mean of the height of $7$ poles is $208 \space cm$. If the individual height of $6$ of them $177, 171, 180, 184, 189, \text{ and } 170 \space cm$, find the height of the $7^{ th }$ pole.

A.	$400 \space cm$
B.	$405 \space cm$
C.	$385 \space cm$
D.	$395 \space cm$

Adesta and Adi sit on the 10-member board of directors for company P. If the board is to be split up into two 5-person subcommittees, what is the percentage that Adi and Adesta are included in the same sub-committee?

A.	52.44%
B.	44.44%
C.	40.44%
D.	60.44%

If D + C = 2B and B + A = 2D , which of the following is correct?

A.	D + A = C + B
B.	D + B = 2A
C.	D + B = 2C
D.	D + B = C + A

The rational number that does not have a reciprocal is

A.	3
B.	2
C.	1
D.	0