A basket contains three type of fruits weighing $\dfrac{ 119 } { 6 }$ kg in all. If $\dfrac{ 63 } { 9 }$ kg of these are apples, $\dfrac{ 17 } { 2 }$ kg are oranges and the rest are pears. What is the weight of the pears in the basket?

A.	$\dfrac { 79 } { 19 }$ kg
B.	$\dfrac { 77 } { 18 }$ kg
C.	$\dfrac { 13 } { 3 }$ Kg
D.	$\dfrac { 81 } { 18 }$ kg

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

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

Find the measure of each exterior angle of a regular polygon of $9$ sides.

A.	$60 ^ \circ$
B.	$25 ^ \circ$
C.	$40 ^ \circ$
D.	$55 ^ \circ$

What is the smallest number that must be subtracted from 346 to get a perfect square?

A.	22
B.	21
C.	23
D.	25

If you subtract a number x from 20 times that number, and then take the cube of the difference, what will be the result?

A.	400x3
B.	6859x3
C.	408x2
D.	6864x3

Daniel bought a ceiling fan for $$ 5415$ including tax. If the original cost of the ceiling fan is $$ 4750.$ Find the rate of tax.

A.	$17 \%$
B.	$19 \%$
C.	$12 \%$
D.	$14 \%$

(ab - 9b + 2a - 18) ÷ (a - 9) = ?

A.	2b + 1
B.	b + 2
C.	-2b + 1
D.	-b + 2

In the diagram, $AB || EF || DC.$ Given that $AC + BD = 250, BC = 100,$ and $EC + ED = 150,$ find $CF.$

A.	$210$
B.	$15000$
C.	$160$
D.	$60$

Find the area of a triangle with base $= 34 \space cm$ and height = $43 \space cm$.

A.	$1462 \space cm^2$
B.	$731 \space cm^2$
C.	$17 \space cm^2$
D.	$21.5 \space cm^2$

(-4)^-2 × (-3)^-3 = ?

A.	432
B.	1 432
C.	-1 432
D.	-432

William can complete a task in 4 minutes, while Sandra can complete the same task in 12 minutes. How long will it take to complete the task, if both William and Sandra work together?

A.	2 minutes
B.	3 minutes
C.	6 minutes
D.	5 minutes

Factorize (7b + 3)² - 84b.

A.	(b - 1) (49b - 9)
B.	(7b + 3) (7b - 3)
C.	(b + 1) (49b - 9)
D.	(7b - 3) (7b - 3)

Following chart shows the revenue (in millions) of a bank. Assuming the trend between data points to be linear, find the revenue for the 6^th year.

A.	38 millions
B.	36 millions
C.	37 millions
D.	34 millions

The sum of the digits of a $2$-digit number is $5$. The number obtained by interchanging its digits is $9$ more than the original number. Find the original number.

A.	$32$
B.	$14$
C.	$23$
D.	None of these

What is the number of diagonals in a pentagon?

A.	10
B.	5
C.	8
D.	3

If 4320 CDs are bought at the rate of $24 each, and 3888 are sold at rate of 27 each. Find the overall profit/loss percent.

A.	11.25% profit
B.	3.75% profit
C.	6.25% profit
D.	1.25% profit

Simple interest on a certain amount is  

4

100

  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.	4 years
B.	3 years
C.	2 years
D.	5 years

Find the compound interest of $$30000$ after $2$ years, compounded annually. The rate of interest is $7 \%$ per annum during the first year and $9 \%$ per annum during the second year.

A.	$$ 4950$
B.	$$ 4989$
C.	$$ 5077$
D.	$$ 5012$

Find the integer $x$ that satisfies the equation $x^5 - 101 x^3 - 999 x^{ 2 } + 100900 = 0$.

A.	$1$
B.	$100$
C.	$10$
D.	$21$

Divide $12x^ { 3 }-17x^ { 2 }-11x + 7$ by $3x^ { 2 } + x-1$.

A.	$-6x^ { 2 }-4x-9$
B.	$-9x^ { 2 } + x-4$
C.	$x + 1$
D.	$4x-7$

A group of students from an American school are selected for a study. The color of the eyes of the students are noted as below:

Color of Eyes	Number of Students
brown	9
grey	8
green	11
black	8
blue	4

What is the probability that the color of a student's eyes, chosen randomly, is green?

A.	5 29
B.	1 40
C.	11 29
D.	11 40

Pump A can fill a tank in 36 minutes, while pump B can fill the same tank in 45 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.	27 minutes
B.	30 minutes
C.	29 minutes
D.	28 minutes