Which of the following is a negative integer and a rational number?

A.	57 7
B.	-30
C.	39
D.	0.2

Solve the equation $24(21x + 20) - 24(24x - 19) = 24(x - 21) - 24(25x - 24) + 480x$.

A.	$-27$
B.	$-38$
C.	$-22$
D.	$-36$

If a polygon has its sum of interior angles smaller than $3720^{\circ},$ what is the maximum number of sides of the polygon$?$

A.	$21$
B.	$22$
C.	$23$
D.	$18$

What is the expansion of (a - b)²?

A.	a2 + ab + b2
B.	a2 + 2ab + b
C.	a2 - 2ab + b2
D.	a2 - ab + b2

$\sqrt[3]{27} + \sqrt[3]{125}$ = ?

A.	$13$
B.	$3$
C.	$5$
D.	$8$

If 50% of 120 = x% of 750, then what is the value of x?

A.	12
B.	8
C.	13
D.	23

If $3(p^2 + q^2 + r^2) = (p+q+r)^2,$ find the value of $p - 2q + r.$

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

Which of the following is a possible number of diagonals of a convex polygon?

A.	$39$
B.	$34$
C.	$78$
D.	$27$

A Trapezoid $PQRS$ has two parallel bases $PQ$ and $RS.$ The diagonals of the Trapezoid intersect at a point $O.$ Suppose that $PQ = 12, SR = 16,$ and the area of the triangle $POS$ is $48.$ What is the area of the trapezoid $PQRS?$

A.	$196$
B.	$206$
C.	$201$
D.	$186$

Write 9.3 × 10^-7 in usual form.

A.	0.000000093
B.	0.0000093
C.	0.00000093
D.	0.0000000093

There are few taps and holes in tank. Each tap can fill empty tank in 1 minutes, while each hole can empty a full tank in 2 minutes. If there are 2 taps and 3 holes, how long would it take to fill empty tank?

A.	5 minutes
B.	3 minutes
C.	4 minutes
D.	2 minutes

Find factors of -2pq + 3q - 12p + 18.

A.	( -2p + 3)(q + 6)
B.	( -2p - 3)(q + 6)
C.	( -2p + 3)(q - 6)
D.	( -2p + 3)( -q + 6)

A bike is traveling with uniform speed in one direction. The following graph shows its position (in km) at two time points. Find its position at 20 minutes.

A.	40 km
B.	25 km
C.	30 km
D.	35 km

Sandra picks a three digit number and subtract it from the same number after reversing order of its digits. This difference will always be fully divisible by which of following number?

A.	26
B.	16
C.	24
D.	11

Find the product of: $17 a^{ 2 }b^{ 3 } \times ( -8 a^{ 3 }b^{ 4 } -9 a^{ 4 }b^{ 4 } + 15 a^{ 2 } b^{ 5 } )$

A.	$-136 a^{ 5 } b^{ 7 } -153 a^{ 7 }b^{ 7 } +255 a^{ 4 }$
B.	$17 a^{ 5 } b^{ 7 } -153 a^{ 6 }b^{ 7 } +255 a^{ 4 }b^{ 8 }$
C.	$-136 a^{ 5 } b^{ 7 } -153 a^{ 6 }b^{ 7 } +255 a^{ 4 }b^{ 8 }$
D.	$-136 a^{ 7 } b^{ 7 } -153 a^{ 6 }b^{ 7 } +15 a^{ 4 }b^{ 8 }$

A shopkeeper sells two qualities of rice at the rates of $12 per kg. and $16.5 per kg, gaining 20% and 10% profit respectively. If he mixes the two variants in the ratio 3:2 and sells the mixture at $14.4 per kg., what is his gain% or loss%?

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

What should be the interest rate for an amount to become double of itself at simple interest in 25 years?

A.	5% pa
B.	3% pa
C.	4% pa
D.	2% pa

Find the compound interest on $$ 30000$ for $6$ months at $12 \%$ per annum, compounded quarterly.

A.	$$ 1838$
B.	$$ 1906$
C.	$$ 1780$
D.	$$ 1827$

Find the product of the following polynomials:
( -0.3b² + 0.3b + 0.3) and ( -0.5b² + 0.4b - 1)

A.	0.15b4 - 0.27b3 + 0.27b2 + 0.18b - 0.3
B.	- 0.15b4 - 0.27b3 + 0.27b2 - 0.18b - 0.3
C.	0.15b4 - 0.27b3 + 0.27b2 - 0.18b + 0.3
D.	0.15b4 - 0.27b3 + 0.27b2 - 0.18b - 0.3

Divide $12x^ { 3 }-2x^ { 2 }-28x + 6$ by $-4x + 6$.

A.	$-2x^ { 2 }-x-8$
B.	$-7x + 7$
C.	$-3x^ { 2 }-4x + 1$
D.	$4x^ { 2 } + 3x + 2$

A survey of $900$ boys of a school was conducted and it was found that $90$ boys like tea while $810$ dislike it. Out of these boys, one boy is selected at random.
What is the probability that the selected boy likes tea?

A.	$1$
B.	$0.9$
C.	$0.1$
D.

n is a positive integer. Let's say that {n} denotes the sum of all the positive divisors of n except for n itself. For example, {4} = 1 + 2 = 3 and {8} = 1 + 2 + 4 = 7. What is {{{28}}}?

A.	31
B.	28
C.	29
D.	2