If $I = \dfrac{ 4 }{ 7 } \div \dfrac{ 3 }{ 10 },$ $II = 4 \div [7 \div 3] \div 10$, $III = [4 \div (7 \div 3)] \div 10,$ $IV = 4 \div 7 \div (3 \div 10),$ then

A.	$I$ and $IV$ are equal
B.	$II$ and $III$ are equal
C.	$I$ and $II$ are equal
D.	Both (a) and (b) are true

Factorize: $$u^3 + 8 v^3$$

A.	$( u - 2v) ( u^2 + 2 uv - 4 v^2)$
B.	$( u - 2v) ( u^2 - 2 uv + 4 v^2)$
C.	$( u + 2v) ( u^2 - 2 uv + 4 v^2)$
D.	$( u + 2v) ( u^2 + 2 uv + 4 v^2)$

In the ordered pair $(a, 12)$, if the second member of the pair is $3$ times the first member, then find the missing member '$a$'.

A.	$3$
B.	$6$
C.	$14$
D.	$4$

Based upon the graph, which is the apparent solution to the system of equations?

A.	5
B.	9
C.	$(6, -1)$
D.	11

Compare the following angles by simply looking.

A.	$\angle PQR > \angle ABC$
B.	$\angle PQR = \angle ABC$
C.	$\angle PQR < \angle ABC$
D.

In $\triangle PQR,$ right-angled at $Q$, we have:

A.	QR is longest
B.	PQ is longest
C.	PR is longest
D.	None of these

In the parallelogram ABCD, ∠D is 31°, then the measurement of ∠A is

A.	121°
B.	20°
C.	149°
D.	52°

In the rhombus, ∠PRS = 5X - 358° and ∠QSP = 2X - 14°. Find the value of X.

A.	132°
B.	52°
C.	80°
D.	66°

If AB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of ∠ACD + ∠BED.

A.	235°
B.	360°
C.	180°
D.	270°

Which of the following angles can be constructed using ruler and compass only?

A.	$72^\circ$
B.	$15^\circ$
C.	$25^\circ$
D.	$65^\circ$

Find the area of the unshaded region in the figure below:

A.	54.6 m2
B.	42 m2
C.	126 m2
D.	84 m2

Find the volume of the biggest cone that can fit inside a cube of side 6 cm.

A.	72π cm3
B.	18π cm3
C.	36π cm3
D.	3π cm3

The given table shows the profit of 5 companies in a business group last year.

Company	Profit
Company 1	$500000
Company 2	$200000
Company 3	$350000
Company 4	$350000
Company 5	$350000

What is the average profit of the business group?

A.	$352000
B.	$348900
C.	$350000
D.	$348600

Two dice are rolled. What is the probability that the two numbers add up to a prime number?

A.	12 36
B.	20 36
C.	19 36
D.	15 36

There are 336 boys and 378 girls students in a school. Principal wants to divide them in section such that a section can have only boys or only girls. If all sections should have same number of students, and principal wants to have as fewer section as possible find the number of sections in the school.

A.	11
B.	16
C.	17
D.	18

Find the percentage increase in the area of a triangle if each side is increased to $8$ times.

A.	$6400\%$
B.	$6200\%$
C.	$6300 \%$
D.	$6100 \%$