Express $\dfrac { -3 }{ 7 }$ as a rational number with a numerator $24.$

A.	$\dfrac { 24 }{ -49 }$
B.	$\dfrac { 24 }{ -70 }$
C.	$\dfrac { 24 }{ 14 }$
D.	$\dfrac { 24 }{ -56 }$

Which of the following expressions gives the products of 8 numbers which have the following properties:
- The GCD/HCF of each pair of numbers in that group is a
- The LCM of the 8 numbers is b

A.	a8 × b2
B.	a9 × b
C.	a8 × b
D.	a7 × b

The adjoining figure contains three squares with areas of $121m^2$, $25m^2$, and $81m^2$ lying side by side as shown. By how much should the area of the middle square be reduced in order that the total length $PQ$ of the resulting three squares is $24 m$?

A.	$7m^2$
B.	$9m^2$
C.	$17m^2$
D.	$5m^2$

Find the sum:
$(1+ 3+ 5+ 7+ 9+ 11)$

A.	$35$
B.	$6$
C.	$37$
D.	$36$

$6^3 + 8^3 + 10^3 = ?$

A.	$17^3$
B.	$14^3$
C.	$22^3$
D.	$12^3$

The difference between discounts of $40\%$ on $€500$ and two successive discounts of $35\%$ and $5\%$ of the same price is

A.	Nil
B.	$€8.75$
C.	$€11.75$
D.	$€6.75$

What is the value of $\left(-4x^{ 3 } + 2\right)\left(-5x^{ } - 4\right)$ at $x = -2$?

A.	$-204$
B.	$2204$
C.	$-2204$
D.	$204$

In the following figure, $AD = AB,$ $\angle DAB = \angle DCB = \angle AEC = 90^\circ$ and $AE = 7 \space cm.$ Find the area of the quadrilateral $ABCD.$

A.	$49 \space cm^2$
B.	$14 \space cm^2$
C.	$53 \space cm^2$
D.	$42 \space cm^2$

A child walked $10 \space m$ to cross a rectangular field diagonally. If the breadth of the field is $6 \space m,$ what is the length of the rectangular field?

A.	$8 \space m$
B.	$11 \space m$
C.	$33 \space m$
D.	$25 \space m$

A car takes one hour to cover a certain distance at $90 \space km/h$. How long will the same journey take at $100 \space km/h$?

A.	$56$ minutes
B.	$64$ minutes
C.	$54$ minutes
D.	$74$ minutes

Daniele can complete a task in 42 minutes, while Cristiano can complete the same task in 7 minutes. How long will it take to complete the task, if both Daniele and Cristiano work together?

A.	9 minutes
B.	6 minutes
C.	8 minutes
D.	7 minutes

Factorize:
$100c^2b^2 + 160cba + 64a^2$

A.	$\left(10cb - 8a\right)\left(10cb - 8a\right)$
B.	$\left(10cb + a\right)\left(10cb + 8a\right)$
C.	$\left(10cb + 8a\right)\left(10cb - 8a\right)$
D.	$\left(10cb + 8a\right)\left(10cb + 8a\right)$

If you plot following set of points on a graph, which set of points will not form a straight line?

A.	(0,1) (1,3) (2,5) (4,9)
B.	(0,0) (2,4) (3,6) (3,8) (6,12)
C.	(0,0) (2,4) (4,8) (5,10)
D.	(2,3) (4,5) (6,7) (8,9) (10,11)

{a_m} is a sequence of integers such that a₁ = 1, and a_m+n = a_m + a_n + mn, for all positive integers m and n. What is the value of a₁₃?

A.	91
B.	89
C.	90
D.	93

The value of $\sqrt{ 160 + \sqrt{ 68 + \sqrt{ 169 } } }$ is

A.	$14$
B.	$19$
C.	$13$
D.	$12$

Francesco makes a profit of $€ 28$ if he sells a certain number of pens he has at the price of $€ 2.65$ per pen and incurs a loss of $€ 60$ if he sells the same number of pens of $€ 2.1$ per pen. What should be the selling price of all the pens in order to make a profit of $15\%$?

A.	$€465.4$
B.	$€455.4$
C.	$€955.4$
D.	$€453$

What should be the interest rate for an amount to become triple of itself at simple interest in 50 years?

A.	2% pa
B.	4% pa
C.	5% pa
D.	52% pa

The population of vultures in a particular locality is decreased by a certain rate of interest (compounded annually). If the current population of vultures is $13,056$ and the ratio of decrease in population for the second year and $3^{ rd }$ year be $15: 12$. What was the population of vultures $3$ years ago?

A.	$25,450$
B.	$30,500$
C.	$25,600$
D.	$25,500$

Find product of following polynomials:
( -2p² - 3p - 1) and ( - 4p + 5)

A.	8p3 + 2p2 - 11p - 5
B.	8p3 - 2p2 - 11p - 5
C.	8p3 + 2p2 - 11p + 5
D.	- 8p3 + 2p2 - 11p - 5

Simplify: (9p² - 18pq + 9q² - 4r²) ÷ (3p - 3q + 2r)

A.	(3p + 3q + 2r )
B.	(3p - 3q + 2r )
C.	(3p - 3q - 2r )
D.	(3p + 3q - 2r )

From a deck of cards, Rebecca randomly withdraws a card. What is the probability that the card is a red Jack?

A.	1 26
B.	11 52
C.	1 52
D.	1 2

A shopkeeper sells a toy for $€36$ and gains $\dfrac{ 1 }{ 8 }$ of what it costs him. Find the cost price of the toy.

A.	$€34$
B.	$€30$
C.	$€32$
D.	$€33$