$- \dfrac{ 6 }{ 7 } + - 10 = \space ?$

A.	$\dfrac{ 64 }{ 7 }$
B.	$\dfrac{ -64 }{ 7 }$
C.	$\dfrac{ 76 }{ 7 }$
D.	$\dfrac{ -76 }{ 7 }$

If x + 2y = 8 then which of the following values of x and y will hold true?

A.	x = 6, y =   6 2
B.	x = 2, y =   7 2
C.	x = 2, y =   6 2
D.	x = 6, y =   7 2

If the areas of two equilateral triangles are in the ratio $144:4$. Their altitudes will be in the ratio

A.	$12:2$
B.	$2:12$
C.	$144:4$
D.	$\sqrt{ 12 }:\sqrt{ 2 }$

What is the smallest number that 1125 must be multiplied with to get a perfect square?

A.	25
B.	7
C.	5
D.	3

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

A.	$11^3$
B.	$22^3$
C.	$12^3$
D.	$17^3$

How much percent above the cost price should a dealer mark his goods so that after allowing a discount of $20 \%$ on the marked price, he gains $15 \% ?$

A.	$43.75 \%$
B.	$45.16 \%$
C.	$48.75 \%$
D.	$47.42 \%$

Mikhail had his first child on his $22^{ nd }$ birthday, his second child exactly $4$ years later, and his third child exactly $4$ years after that. How old was Mikhail when his age was equal to the sum of his three children's ages?

A.	$43$ years
B.	$35$ years
C.	$47$ years
D.	$39$ years

Which amongst the following is not a polyhedron?

A.
B.
C.
D.

The wall is in the shape as shown below has to be painted. If one can of paint covers $8.5 \space m^2$, how many cans of paint will be needed if only one coat of paint is applied?

A.	$48$
B.	$43$
C.	$45$
D.	$53$

Simplify:
$\left( \dfrac{ 1 }{ 2 } \right)^{ -2} \times \left( \dfrac{ 2 } { 3 } \right)^{ 2}$

A.	$\dfrac{ 4 }{ 3 }$
B.	$\dfrac{ 2 }{ 9 }$
C.	$\dfrac{ 8 }{ 9 }$
D.	$\dfrac{ 16 }{ 9 }$

12 workers can paint a building in 25 days. If work has to be finished in 15 days, find the number of extra workers required.

A.	8
B.	10
C.	7
D.	9

Find factors of the polynomial $y^ 2 - 7xy - 7y + 49x$.

A.	($-7y + x$)($-y - 7$)
B.	($-7x + y$)($-7y - 1$)
C.	($7x + y$)($y - 7$)
D.	$(y - 7x)$$(y - 7)$

The following graph shows the temperature of a patient in a hospital, recorded every hour.

What was the patient's temperature at $10 \space a.m.$ and when was the patient's temperature $35^\circ C$?

A.	$36^\circ C$ and $11 \space a.m.$
B.	$36^\circ C$ and $9 \space a.m.$
C.	$40^\circ C$ and $11 \space a.m.$
D.	$40^\circ C$ and $9 \space a.m.$

If a number is divided by 5, remainder is 4. If same number is divided by 2, remainder is 0. What should be the last digit of the number?

A.	4
B.	3
C.	5
D.	6

Simplify the following polynomial expressions:
[( -3b + 9) × ( -2b - 5)] - ( -b + 2)

A.	- 2b + 47
B.	6b2 - 2b - 47
C.	2b + 47
D.	2b - 47

A trader marks his goods at $30 \%$ above the cost price and allows a discount of $20 \%$. Find his gain $\%.$

A.	$5.83 \%$
B.	$7.91 \%$
C.	$10 \%$
D.	$4 \%$

Simple interest on a certain amount is  

9

121

  of the principal. If the numbers representing the rate of interest (in percent) and time (in years) be equal, then what is the time, for which the principal is lent out?

A.	2 8 11   years
B.	15 10 11   years
C.	13 10 11   years
D.	14 11   years

The difference between the compound interest, compounded annually and the simple interest on a certain sum for $2 \space years$ at $8 \%$ per annum is $₱ 448.$ Find the sum.

A.	$₱ 9000$
B.	$₱ 70000$
C.	$₱ 80000$
D.	$₱ 7000$

What is the value of $3ab\left(5a^{ 5 } - 9a^{ }b^{ 4 }\right) + 4$ at $a = -3$ and $b = 2$?

A.	$-15098$
B.	$15098$
C.	$-14098$
D.	$14098$

Divide $-8x^ { 3 } + 32x^ { 2 } + 22x + 2$ by $2x^ { 2 }-9x-1$.

A.	$7x^ { 2 } + 7x + 2$
B.	$x^ { 2 }-5x-5$
C.	$-4x-2$
D.	$-x + 3$

A group of students from a Canadian college are selected for a study. The color of the eyes of the students are noted as

Color of Eyes	Number of Students
blue	7
black	7
grey	2
green	9
brown	6

What is the probability that the color of a student's eyes, chosen randomly, starts with the letter b?

A.	11 31
B.	19 31
C.	20 31
D.	2 31

Natasha says, If Sevastian gives me ₱15, he will have half as much as Maksim. But, if Maksim gives me ₱15 then three of us will have the same amount. What is the total amount of money that Natasha, Sevastian, and Maksim have among themselves?

A.	₱135
B.	₱165
C.	₱150
D.	₱120