Which of the following statements are correct?

A.	For an integer ^@a,^@ ^@a^3^@ is always greater than ^@a^2^@.
B.	No cube can end with exactly two zeros.
C.	If ^@a^@ and ^@b^@ are integers such that ^@a^2 > b^2^@, then ^@a^3 > b^3^@.
D.	There is no perfect cube that ends in ^@4^@.

if ^@x = 16a +b ^@, ^@y = 5b + 18a ^@ and ^@z = -7b + a^@, then ^@4x + 5y + 3z^@ = ?

A.	^@157a - 8b^@
B.	^@157a + 8b^@
C.	^@-6a - 8b^@
D.	^@2a + 8b^@

If a polygon has its sum of interior angles smaller than ^@ 4200^{\circ}, ^@ what is the maximum number of sides of the polygon^@?^@

A.	^@ 26 ^@
B.	^@ 24 ^@
C.	^@ 27 ^@
D.	^@ 25 ^@

There are 3590 soldiers in a platoon. The commander of the platoon wants to impress the visiting general by arranging his soldiers in such a manner that they are arranged in n rows, and each row has n soldiers. He finds that he cannot do this with the number of soldiers he has. What is the minimum number of soldiers he needs additionally to do this kind of a formation?

A.	15
B.	5
C.	12
D.	10

If you add a number x with another number that is 13 times the value of x, and then take the cube of the sum, what will be the result?

A.	2563x3
B.	184x2
C.	2744x3
D.	169x3

A certain sum is invested for ^@2^@ years in scheme ^@M^@ at ^@20\% \space p.a.^@ compound interest (compounded annually). The same sum is also invested for the same period in scheme ^@N^@ at ^@k\% \space p.a.^@ simple interest. The interest earned from scheme ^@M^@ is five times that earned from scheme ^@N^@. What is the value of ^@k^@?

A.	^@34.4^@
B.	^@4.4^@
C.	^@24.4^@
D.	^@6.4^@

Simplify:
^@n^2 z - 4 \left\{nz - 9 z\left(z^2 - \overline{ 8x - z^2}\right)\right\}^@

A.	^@n^2 z + 4nz + 72 z^3 + 288zx^@
B.	^@n^2 z - 4nz + 72 z^3 - 288zx^@
C.	^@n^2 z - 4nz + 72 z^3 + 288zx^@
D.	^@n^2 z + 4nz + 72 z^3 - 288zx^@

A 3-dimensional figure has ^@4 ^@ faces and ^@9 ^@ vertices. Use Euler's formula to find the number of edges in the figure.

A.	^@14^@
B.	^@10^@
C.	^@12^@
D.	^@11^@

If a cube has surface area ^@S^@ and volume ^@V^@, then find the volume of the cube of surface area ^@5S^@.

A.	^@25V^@
B.	^@5 \sqrt{ 5 }V^@
C.	^@5 V^@
D.	^@\sqrt{ 5 }V^@

The result when ^@{ \Bigg ( \dfrac { 3 }{ 2 } \Bigg ) } ^ { -3 } ^@ is divided by a number is ^@{ \Bigg ( \dfrac { -9 }{ 4 } \Bigg ) } ^ { -1 } ^@. What is the value of that number?

A.	^@ \dfrac { -2 }{ 3 } ^@
B.	^@\dfrac{ -73 }{ 108 }^@
C.	^@\dfrac{ -24 }{ 37 }^@
D.	^@\dfrac{ -35 }{ 54 }^@

Pump A and B can fill a tank in 6 minutes and 3 minutes respectively. Both the pumps started filling the tank together but Pump B stopped when the tank was half full and the rest of the tank is filled by Pump A alone. How long did it take to fill the tank?

A.	4 minutes
B.	5 minutes
C.	2 minutes
D.	7 minutes

Factorize:
^@n^{ 2 } + mn(1 + m^{ }) + m^{ 3 }^@

A.	^@\left(n - m\right)\left(n - m^2\right)^@
B.	^@\left(n + m\right)\left(n + m^2\right)^@
C.	^@\left(n - m\right)\left(n + m^2\right)^@
D.	^@\left(n + m\right)\left(n - m^2\right)^@

The graph below shows the temperature (in degrees Celsius) over 10 weeks in Khulna. Calculate the maximum range of variation (the difference between highest and lowest temperature).

A.	36
B.	7
C.	38
D.	9

In a ^@2^@-digit number, the units digit is ^@four \space times^@ the tens digit and the sum of the digits is ^@10^@. Find the number.

A.	^@32^@
B.	^@28^@
C.	^@84^@
D.	^@48^@

Sahar writes all the numbers from 8 to 128, which are divisible by 8. What will be the number at the 11^th position?

A.	96
B.	72
C.	80
D.	88

A man sells a camel for BDT44000 making a profit of 10%. What is the cost of the camel?

A.	BDT50000
B.	BDT40000
C.	BDT38000
D.	BDT47000

A sum of money becomes 6 times of itself at simple interest in 25 years, how long would it take for same amount to become 4 times?

A.	14 years
B.	25 years
C.	20 years
D.	15 years

Last year, the population of a town was ^@x^@ and if it increases at the same rate, next year it will be ^@y^@. What is the present population of the town?

A.	^@\dfrac{ 2xy }{ x + y }^@
B.	^@\sqrt{ xy }^@
C.	^@y - \dfrac{x}{2}^@
D.	^@x + \dfrac{y}{2}^@

Simplify the following expressions:
( -3q + 1) × (2q - 2) × (2q + 1)

A.	-12q3 + 10q2 + 4q + 2
B.	-12q3 - 10q2 + 4q - 2
C.	-12q3 + 10q2 + 4q - 2
D.	12q3 + 10q2 + 4q - 2

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

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

The numbers 1 to 7 are written on 7 pieces of paper and dropped into a box. Three of them are drawn at random. What is the probability that the three pieces of paper picked have numbers that are in arithmetic progression?

A.	12 31
B.	6 38
C.	9 35
D.	13 36

Nadira plays cricket every 4^th day. If she played cricket on Thursday, after how many days will she play cricket again on a Sunday?

A.	29 days
B.	26 days
C.	24 days
D.	22 days