In the standard form of a rational number, the denominator is always

A.	0
B.	a positive integer
C.	a negative integer
D.	1

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

A.	4
B.	2
C.	1
D.	3

Find the measure of each exterior angle of a regular polygon of $12$ sides.

A.	$20 ^ \circ$
B.	$50 ^ \circ$
C.	$40 ^ \circ$
D.	$30 ^ \circ$

What is the square root of $30 \dfrac { 5 } { 20 }$ ?

A.	$\dfrac { 11 } { 3 }$
B.	$\dfrac { 12 } { 2 }$
C.	$\dfrac { 11 } { 2 }$
D.	$\dfrac { 14 } { 4 }$

Evalute $\left(\dfrac{ 3 }{ 5 }\right)^3$

A.	$\dfrac{ 27 }{ 125 }$
B.	$\dfrac { 125 }{ 27 }$
C.	$\dfrac { 9 }{ 25}$
D.	$\dfrac { 3 }{ 125 }$

Tania sells her two cycles at the rate of $$$$9$ hundreds each. On one cycle she gains $8 \%$ while on other cycle she incurs a loss of $8 \%.$ Find her total loss/gain in the whole transaction.

A.	$0.64 \%$ profit
B.	$0.64 \%$ loss
C.	$6.4 \%$ loss
D.	$6.4 \%$ profit

When a number is divided by 8, it gives a remainder of 5. What will be the remainder if the square of that number is divided by 8?

A.	1
B.	2
C.	4
D.	3

Identify an closed curve that is made up of curved lines only.

A.
B.
C.
D.

One of the diagonal of following polygon is 20 cm long, and length of perpendiculars dropped on diagonal are 6, 14 cm and 10 cm. Find the area of polygon.

A.	109 cm2
B.	258 cm2
C.	178 cm2
D.	218 cm2

The result when ${ \Bigg ( \dfrac { 3 }{ 2 } \Bigg ) } ^ { -3 }$ is divided by a number is ${ \Bigg ( \dfrac { -9 }{ 4 } \Bigg ) } ^ { -2 }$. What is the value of that number?

A.	$\dfrac { 3 }{ 2 }$
B.	$\dfrac{ 325 }{ 216 }$
C.	$\dfrac{ 216 }{ 145 }$
D.	$\dfrac{ 648 }{ 433 }$

The ratio of number of boys to that of girls in a school of 1131 is 5:8. How many boys should be admitted to make the ratio 1:1?

A.	267
B.	259
C.	264
D.	261

Factorize: $\left(\dfrac{ x^6 }{ 343 }\right) - \left(\dfrac{ 343 }{ x^6 }\right)$

A.	$\left[\dfrac{ x^2 } { 7 } + \dfrac{ 7 } { x^2 }\right]\left[\dfrac{ x^2 } { 7 } - 1 + \dfrac{ 7 } { x^2 }\right]$
B.	$\left[\dfrac{ x^2 } { 7 } + \dfrac{ 7 } { x^2 }\right]\left[\dfrac{ x^2 } { 7 } + 1 + \dfrac{ 7 } { x^2 }\right]$
C.	$\left[\dfrac{ x^2 } { 7 } - \dfrac{ 7 } { x^2 }\right]\left[\dfrac{ x^4 } { 49 } + 1 + \dfrac{ 49 } { x^4 }\right]$
D.	$\left[\dfrac{ x^2 } { 7 } - \dfrac{ 7 } { x^2 }\right]\left[\dfrac{ x^4 } { 49 } - 1 + \dfrac{ 49 } { x^4 }\right]$

Following chart shows the quantity of petrol and its cost. Plot a graph using this data and find the cost of 70 litres of petrol.

Petrol (in litres)	Cost (in $)
60	4800
80	6400
100	8000

A.	$5680
B.	$5440
C.	$5760
D.	$5600

If a number is divided by 5, remainder is 3. What should be the last digit of the number?

A.	3 or 7
B.	8
C.	3 or 8
D.	3

An item was bought at $$ x$ and sold at $$ y$, thereby earning a profit of $20\%$. Had the value of $x$ been $15\%$ less and the value of $y$ been $$56$ less, a profit of $40\%$ would have been earned. What was the value of $x$?

A.	$$5600$
B.	$$5604$
C.	$$5601$
D.	$$5599$

A shopkeeper buys 25 DVD players for $250000. If he sells them for a profit of 5%, find the selling price of one DVD player.

A.	$9450
B.	$12600
C.	$10500
D.	$11550

How long will it take for an amount to become 4 times of itself at 4% per annum simple interest?

A.	75 years
B.	73 years
C.	77 years
D.	76 years

Divide $$1354$ between $A$ and $B$, so that the amount of $A$ after $7$ years is equal to the amount of $B$ after $9$ years, the interest being compounded at $8\%$ per annum.

A.	$A = $625$ and $B = $729$
B.	$A = $717$ and $B = $637$
C.	$A = $729$ and $B = $625$
D.	$A = $637$ and $B = $717$

What is the value of $\left(2p^{ 2 } + 5\right)\left(-4p^{ 3 } - 4\right)$ at $p = -1$?

A.	$800$
B.	$-800$
C.	$0$
D.	$12$

Simplify: (9a² - 18ab + 9b² - 4c²) ÷ (3a - 3b + 2c)

A.	(3a + 3b - 2c )
B.	(3a - 3b + 2c )
C.	(3a - 3b - 2c )
D.	(3a + 3b + 2c )

The letters of the word MATHEMATICS are rearranged in a random order. What is the probability that the letters H and S have exactly 3 letters between them?

A.	18 105
B.	10 110
C.	1
D.	14 110

Sergio and Armando start from the same point. Sergio walks 8 km in North direction, then turn right and walks for 6 km. Armando walks 6 km in East direction, and turn right and walks for 6 km. Find the distance between Sergio and Armando now.

A.	15 km
B.	16 km
C.	14 km
D.	13 km