Subtract $\dfrac { 6 } { 9 }$ from $\dfrac { 5 } { 7 }$.

A.	$\dfrac { 1 } { 21 }$
B.	$\dfrac { 2 } { 21 }$
C.	$\dfrac { 3 } { 26 }$
D.	$\dfrac { 3 } { 24 }$

For any four numbers p, q, r and s, the mathematical representation
find the value of x.

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

If a polygon has its sum of interior angles smaller than $3290^{\circ},$ what is the maximum number of sides of the polygon$?$

A.	$24$
B.	$20$
C.	$19$
D.	$16$

State whether the square of $43896$ is odd or even.

A.	Even
B.	Odd
C.
D.

A number n is called a perfect cube if there exists:

A.	a natural number m such that m = n x m x n
B.	a natural number m such that m = n x n x n
C.	a natural number m such that m = n + n + n
D.	a natural number m such that n = m x m x m

The cost of the truck is €163000. If its value depreciates at the rate of 23% per annum, then what is the total depreciation after 3 years?

A.	€88557.12
B.	€88585.12
C.	€88588.12
D.	€88604.12

Find the value of the expression $400 x^{2} + 9 y^{2} + 120 x y$, when $x = 9$ and $y = 8$.

A.	$41626$
B.	$41616$
C.	$41716$
D.	$41615$

Use the Euler's formula to find the number of vertices of a 3-dimensional figure with $10$ faces and $19$ edges.

A.	$11$
B.	$15$
C.	$10$
D.	$12$

If each side of a cube is tripled, find the factor by which surface area of the cube will change.

A.	12 times
B.	3 times
C.	27 times
D.	9 times

Simplify (a^-4 + b^-4)^-1.

A.	a4b4 a4 + b4
B.	a4 + b4
C.	ab a4 + b4
D.	a4 + b4 ab

Oksana can complete some work in 60 days, while Alicja can complete the same work in 40 days. They started the work together, and when the work was half complete, Alicja fell ill and Oksana had to finish the remaining work. How long did it take to complete the work?

A.	44 days
B.	41 days
C.	43 days
D.	42 days

Factorize (81b² - 16).

A.	(9b - 4) (9b - 4)
B.	(b + 1) (81b - 16)
C.	(b - 1) (81b + 16)
D.	(9b + 4) (9b - 4)

The graph below shows the temperature (in degrees Celsius) over 10 weeks in Berlin and Frankfurt. Find the difference in the temperature of two cities in the week when the difference is minimum.

A.	3°C
B.	4°C
C.	1°C
D.	2°C

Find the ones digit of the square of 9206104.

A.	7
B.	10
C.	4
D.	6

The number 105 is divided into two parts in the ratio 7:8. Find the absolute difference between the two parts.

A.	10
B.	6
C.	8
D.	7

A shopkeeper mixes two variants of sugar in the ratio 3:2. The first variant costs 25 per kg, while the other costs 30 per kg. If the mixed sugar is sold at the price of 33.75 per kg then find the profit/loss percent incurred by shopkeeper.

A.	20% profit
B.	20% loss
C.	25% profit
D.	25% loss

A sum of money becomes double of itself at simple interest in 7 years, how long would it take for same amount to become triple?

A.	12 years
B.	21 years
C.	13 years
D.	14 years

Number of students in a hostel increases by 20% every year. If there are 600 students in the hostel, find the number of students in hostel after 2 years.

A.	897
B.	864
C.	875
D.	950

Simplify the following polynomial expressions:
[(8a - 1) × ( -6a - 9)] + (7a + 2)

A.	- 59a - 11
B.	59a - 11
C.	-48a2 - 59a + 11
D.	59a + 11

(x² + 3x - 28) ÷ (x - 4) = ?

A.	7x + 1
B.	x - 7
C.	x + 7
D.	-x + 7

Alexandr throws a dice. What is the probability that he will get an odd number?

A.	1 2
B.	5 6
C.	1
D.	2 3

If 1.252525...... is written as  

p

q

 , such that p and q are positive integers without any common factor, find the value of p+q.

A.	221
B.	223
C.	230
D.	225