Which point represents $\dfrac{ 1 }{ 10 }$?

A.	$A$
B.	$B$
C.	$D$
D.	$C$

If $x-2$ is a common factor of $x^ { 2 } + ax-8$ and $x^ { 2 }-2x + b$, then what are the values of $a$ and $b$?

A.	$a = 2$ and $b = 9$
B.	$a = 2$ and $b = 0$
C.	$a = 9$ and $b = 2$
D.	$a = -2$ and $b = -2$

Franzi and Leon deposit some amount in a joint bank account such that the total balance remains 800. If the amount deposited by Franzi and Leon is plotted as a linear graph on xy plane, find the area between this graph and the coordinate axis.

A.	480000 sq units.
B.	160000 sq units.
C.	640000 sq units.
D.	320000 sq units.

If $x = y$, $y = 2 x$ and $x + y = 6$ are the equation of sides of a triangle then the coordinate of all vertices of triangle are

A.	$A(3, 0)$, $B(2, 4)$ and $C(3, 3)$
B.	$A(0, 0)$, $B(0, 4)$ and $C(3, 3)$
C.	$A(0, 4)$, $B(2, 4)$ and $C(0, 3)$
D.	$A(0, 0)$, $B(2, 4)$ and $C(3, 3)$

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

A.	$QR$
B.	Q
C.	R
D.	P

In an isosceles $\triangle ABC, AD \perp BC.$ If $AB = AC = 45 \space cm, AD = 27 \space cm,$ and $BD = 36 \space cm.$ The length of $DC$ is:

A.	45 cm
B.	36 cm
C.	27 cm
D.	Can not be determined

If angles $P, Q, R$ and $S$ of the quadrilateral $PQRS$ taken in order are in ratio $7:13:11:9$, then what kind of shape does $PQRS$ represent?

A.	$Rectangle$
B.	$Trapezium$
C.	$Rhombus$
D.	$None \space of \space above$

In the rhombus, ∠PRS = 3X - 275° and ∠QSP = 2X - 10°. Find the value of X.

A.	85°
B.	75°
C.	150°
D.	65°

If ∠ACB = 50° and ∠BAD = 90°, find angle ∠ABD.

A.	45°
B.	40°
C.	35°
D.	50°

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.	Anywhere but the center
B.	Center of the circle
C.	Anywhere in the circle
D.	None of the above

The area of a triangle with sides 8 cm, 5 cm, 5 cm is:

A.	17 cm2
B.	16 cm2
C.	5 cm2
D.	12 cm2

If a cylinder and a hemisphere stand on equal base and have the same height, find the ratio of their volumes.

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

What is the mean of all the internal angles of a pentagon.

A.	108°
B.	88°
C.	118°
D.	128°

A poll is taken among $10000$ people working in Dublin. The aim was to see what their annual salaries were.

Annual Salary	Number of people
Less than $€40000$	$200$
$€40001$ to $€75000$	$780$
$€75001$ to $€150000$	$1320$
$€150001$ to $€250000$	$3080$
More than $€250000$	$4620$

If you choose a person at random from this group, what is the probability that he or she earns more than $€150000$ annually?

A.	$\dfrac { 87 } { 100 }$
B.	$\dfrac { 77 } { 100 }$
C.	$\dfrac { 79 } { 100 }$
D.	$\dfrac { 93 } { 100 }$

The price of diamond varies directly as square of its weight. The price of a 4 decigrams diamond is €800. If diamond breaks into two pieces whose weights are in the ratio 1:3, find the loss incurred.

A.	€300
B.	€400
C.	€250
D.	€350

The Ferris Wheel at the school fair has radius of 10 metres. It revolves at the rate of one revolution per 3 minutes. How many seconds does it take a rider to travel from the bottom of the wheel to a point 5 vertical metres above the bottom?

A.	30
B.	32
C.	29
D.	33