If  

p

q

  =  

m

n

  then which of the following is always true?

A.	n m   =   p q
B.	p x m = n x q
C.	p x q = m x n
D.	p x n = m x q

Solve the equation $20(17x + 16) - 20(20x - 15) = 20(x - 17) - 20(21x - 20) + 320x$.

A.	$-28$
B.	$-26$
C.	$-32$
D.	$-18$

Find the number of sides of a regular polygon whose each exterior angle is $30 ^ \circ.$

A.	$14$
B.	$11$
C.	$12$
D.	$17$

Which of the following numbers is a perfect square?

A.	180
B.	225
C.	2205
D.	3675

If you subtract a number x from 19 times that number, and then take the cube of the difference, what will the result be?

A.	6859x3
B.	5868x2
C.	6156x3
D.	5832x3

Find the compound interest on $£ 70000$ for $6$ months at $8 \%$ per annum, compounded quarterly.

A.	$£ 2891$
B.	$£ 2828$
C.	$£ 2797$
D.	$£ 2848$

If $3(a^2 + b^2 + c^2) = (a+b+c)^2,$ find the value of $-2a + b + c.$

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

The diagram shows a segment of a circle such that $CD$ is perpendicular bisector of the chord $AB.$ Given that $AB = 16$ and $CD = 4,$ find the diameter of the circle.

A.	$6$
B.	$20$
C.	$30$
D.	$9$

Find area of following parallelogram. (All measurements are in cm)

A.	92 cm2
B.	98 cm2
C.	89 cm2
D.	96 cm2

Simplify the following and write the answer in exponential form
 

75 × 78

73

  × 7 ^-8 × 7 ^-4 = ?

A.	7-4
B.	7-2
C.	7-3
D.	70

If 35 workers can reap a field in 2 days, how many workers are required to do this in 5 days?

A.	14
B.	12
C.	18
D.	16

Find factors of the polynomial $3q^ 2 + 24pq - 8q - 64p$.

A.	($8p + q$)($-8q - 3$)
B.	($8q + p$)($-3q - 8$)
C.	($8p - q$)($3q - 8$)
D.	$(q + 8p)$ and $(3q - 8)$

If you draw a straight line passing through points (2, 4) and (4, 0), find the point where line intersects with y-axis.

A.	(0, 7)
B.	(0, 9)
C.	(0, 10)
D.	(0, 8)

In a $3$-digit number, the hundreds digit is $six \space times$ the tens digit while the units digit is $seven \space times$ the tens digit. Also, the sum of its digits is $14$. Find the number.

A.	$761$
B.	$617$
C.	$167$
D.	$671$

Arrange the rational numbers in ascending Order  

8

73

 ,  

17

73

 ,  

11

73

 ,  

14

73

 .

A.	8 73   <   11 73   <   17 73   <   14 73
B.	8 73   <   11 73   <   14 73   <   17 73
C.	8 73   >   11 73   >   14 73   >   17 73
D.	17 73   >   14 73   >   11 73   >   8 73

A shopkeeper gives 20% discount on all items. If discounted price of a shirt is £3680, find the original price of the shirt.

A.	£3680
B.	£4140
C.	£4600
D.	£5520

Olivia deposited an amount in bank which gives 20% simple interest. If she gets £ 30000 after 10 years, find the amount deposited by her?

A.	£10000
B.	£12000
C.	£9000
D.	£11000

A certain sum amounts to $£ 116964$ in $2$ years at $14 \%$ per annum, compound interest, compounded annually. Find the sum.

A.	$£ 2000$
B.	$£ 90000$
C.	$£ 50000$
D.	$£ 9000$

Find product of following polynomials:
(3b² + 2b + 5) and ( - 2b + 2)

A.	- 6b3 + 2b2 - 6b - 10
B.	- 6b3 + 2b2 + 6b + 10
C.	- 6b3 + 2b2 - 6b + 10
D.	- 6b3 + 2b2 + 6b - 10

Divide $15x^ { 3 }-44x^ { 2 } + 50x-24$ by $-5x^ { 2 } + 8x-6$.

A.	$x^ { 2 } + 2x-5$
B.	$6x^ { 2 } + 2x-4$
C.	$-3x + 4$
D.	$-8x-8$

There are a total of 16 chocolates - 4 each in the flavors of coffee, cherry, banana and grape. There are also 5 children. If each child is allowed to choose their own favorite flavor, what is the probability that all of them will get flavors of their choice?

A.	254 256
B.	255 255
C.	255 256
D.	254 257

Pump A can fill a tank in 6 minutes, while pump B can fill the same tank in 3 minutes. Both pumps are turned on together to fill the empty tank, but when tank became half full, pump B stops working and rest of the tank is filled by pump A only. How long it took to fill the tank?

A.	5 minutes
B.	6 minutes
C.	4 minutes
D.	2 minutes