$\dfrac{ 10 }{ 11 } - \left( - \dfrac{ 3 }{ 11 } \right) = \space ?$

A.	$\dfrac{ -13 }{ 11 }$
B.	$\dfrac{ 7 }{ 11 }$
C.	$\dfrac{ -7 }{ 11 }$
D.	$\dfrac{ 13 }{ 11 }$

Solve the equation $11(8x + 7) - 11(11x - 6) = 11(x - 8) - 11(12x - 11) + 77x$.

A.	$-10$
B.	$-13$
C.	$10$
D.	$-4$

The adjoining figure contains three squares with areas of $100m^2$, $16m^2$, and $81m^2$ lying side by side as shown. By how much should the area of the middle square be reduced in order that the total length $PQ$ of the resulting three squares is $21 m$?

A.	$8m^2$
B.	$18m^2$
C.	$10m^2$
D.	$12m^2$

Every day, a factory making books sends 2010 books to the town market and 3910 books to markets in other states. We know that a little more than 962 books are remaining in the factory. If we know that the factory makes a perfect square number of books every day, what is the smallest possible number of books remaining in the factory?

A.	966
B.	949
C.	974
D.	969

Find the side of a cube whose volume is $\dfrac{ 12167 }{ 216 } \space m^3$.

A.	$\dfrac{ 23 }{ 2 } \space m$
B.	$\dfrac{ 49 }{ 2 } \space m$
C.	$\dfrac{ 49 }{ 6 } \space m$
D.	$\dfrac{ 23 }{ 6 } \space m$

The difference between discounts of $40\%$ on $J$400$ and two successive discounts of $34\%$ and $6\%$ of the same price is

A.	$J$7.16$
B.	Nil
C.	$J$11.16$
D.	$J$8.16$

Suppose that $a, b, c$ are distinct numbers such that $( c - a )^2 - 4( c - b )( b - a ) = 0,$ find the value of $\dfrac{ c - b }{ b - a }.$

A.	$6$
B.	$1$
C.	$8$
D.	$3$

In the diagram shown, $ABCD$ is a square and point $F$ lies on $BC.$ $\triangle DEC$ is equilateral and $EB = EF.$ What is the measure of $\angle DEF ?$

A.	$105^\circ$
B.	$110 ^\circ$
C.	$115 ^\circ$
D.	$100 ^\circ$

A rectangle and a square have the same area. If the side of the square is 50 metres and the width of the rectangle is 16 metres, find the length of the rectangle.

A.	156.25 metres
B.	152.25 metres
C.	155.5 metres
D.	161.25 metres

32^3/5 = ?

A.	8
B.	4
C.	32
D.	16

There are few taps and holes in tank. Each tap can fill empty tank in 6 minutes, while each hole can empty a full tank in 12 minutes. If there are 4 taps and 2 holes, how long would it take to fill empty tank?

A.	1 minutes
B.	2 minutes
C.	0 minutes
D.	5 minutes

Factorize:
$16c^2 + 2ca + \dfrac{ a^2 }{ 16 }$

A.	$\left(4c - \dfrac{ a }{ 4 }\right)\left(4c - \dfrac{ a }{ 4 }\right)$
B.	$\left(4c + \dfrac{ a }{ 4 }\right)\left(4c + \dfrac{ a }{ 4 }\right)$
C.	$\left(4c + \dfrac{ a }{ 4 }\right)\left(4c + 4\right)$
D.	$\left(4c + \dfrac{ a }{ 4 }\right)\left(4c - 4 \right)$

The graph below shows the profit (in crores) of two companies (A and B) for ten years. Find the difference in the profit of two companies in the year when the difference in profit was maximum.

A.	13 crores
B.	10 crores
C.	11 crores
D.	12 crores

Amanda's roll number is a two digit number. Her friend Alex's roll number has the same digits as Amanda's roll number, but with digits interchanged. If they add their roll number, and divide the sum by 11. Find the remainder of this division.

A.	0
B.	1
C.	2
D.	Can not be determined without knowing the roll number

If $\dfrac{ 10 }{ 9^2 } \times 9^x - 3 \times 9^{ x - 2 } = 63$, then the value of $x$ is

A.	$12$
B.	$2$
C.	$3$
D.	$1$

A man sold an article at a loss of $28\%$. Had he bought it at $10\%$ less and sold for $J$ 54$ more, he would have gained $20\%$. What was the cost price of the item?

A.	$J$120$
B.	$J$150$
C.	$J$147$
D.	$J$450$

Juzel borrowed a certain amount of money from Satchell at $20 \%$ simple interest per annum. She returned $J$90000$ at the end of $10$ years. Find the amount of money borrowed by her.

A.	$J$32000$
B.	$J$31000$
C.	$J$29000$
D.	$J$30000$

The count of bacteria in a certain experiment was increasing at the rate of $5\%$ per hour. What is the count of bacteria at the end of $3$ hours if the count was initially $200,000$?

A.	$231,525$
B.	$231,725$
C.	$231,505$
D.	$235,525$

Simplify the following polynomial expressions:
[( -4b + 5) × (6b + 4)] + (7b - 5)

A.	-24b2 + 21b + 15
B.	- 21b - 15
C.	- 21b + 15
D.	21b - 15

(5q² - 32q - 21) ÷ (5q + 3) = ?

A.	q - 7
B.	q + 7
C.	-q - 7
D.	-7q + 1

From among a group of 4 men, 3 women and 7 children, 3 individuals are selected randomly. What is the probability that exactly 1 among the chosen are children?

A.	147 364
B.	145 728
C.	147 728
D.	148 728

The difference between two natural numbers is 57. If the larger number is divided by the smaller one, then the quotient is 5 and the remainder is 9. Find the smaller number.

A.	14
B.	11
C.	12
D.	13