An integer when divided by 6 gives a remainder 5. The resulting quotient when divided by 5 gives a remainder 3. The resulting quotient is then divided by 6 giving a quotient 1 and a remainder 2.
What will be the final remainder be, if the order of the divisors is reversed?

A.	2
B.	3
C.	0
D.	5

Choose the correct equation to represent the addition of shaded part of both the figures.

	+
Fig 1		Fig 2

A.	10 16   +   10 16   =   20 16
B.	6 16   +   6 16   =   12 16
C.	7 16   +   7 16   =   15 16
D.	16 6   +   16 6   =   16 12

If the mean of $9$ observations $x, x + 2, x + 4, x + 6, x + 8, x + 10, x + 12, x + 14, x + 16$ is $16$, find the value of $x.$

A.	$8$
B.	$13$
C.	$10$
D.	$15$

The ages of Akim and Kisa are in ratio $1:5.$ If sum of their ages is $24$ years, what is the age of Kisa $?$

A.	$20 \text{ years }$
B.	$4 \text{ years }$
C.	$3 \text{ years }$
D.	$19 \text{ years }$

Find the measure of angle x.

A.	70°
B.	80°
C.	60°
D.	90°

If ∠BDC and ∠ACB are right angles, what is the measure of ∠CBD ?

A.	60°
B.	65°
C.	55°
D.	30°

Which of the following statement is false ?

A.	Two angles are congruent if they have the same measure.
B.	If the hypotenuse of a right triangle is equal to hypotenuse of another right triangle then the triangles are congruent.
C.	If two squares have equal areas, they are congruent.
D.	Two circles are congruent if they have the same radius.

Water expands by 7% of its volume as it freezes. How much water is required to obtain 32.1 m³ of ice?

A.	32 m3
B.	30 m3
C.	28 m3
D.	25 m3

Which of the following statements is true for a rational number  

a

b

 .

A.	The numerator a cannot be 1.
B.	The denominator b cannot be a prime number.
C.	The denominator b cannot be 0.
D.	The numerator a cannot be a prime number.

Marinka travels along a circular path, when she reaches the spot she started from, she finds that she has covered 132 metres. If she were to walk in a straight line through the center of the circle and reach the opposite side, how much distance did she travel?
(Assume π is  

22

7

 )

A.	42
B.	44
C.	39
D.	41

If * be an operation such that a*b = ab(a+b), then 2*7 = ________

A.	14
B.	128
C.	126
D.	125

$\left( \dfrac{ 2 }{ 4 } \right)^{ 1 } + \left( \dfrac{ 3 } { 3 } \right)^{ -1 }$

A.	$\dfrac { 1 }{ -2 }$
B.	$\dfrac { 3 }{ -1 }$
C.	$\dfrac { 3 }{ -2 }$
D.	$\dfrac { 3 }{ 2 }$

Find the order of rotational symmetry in the given image.

A.	7
B.	10
C.	9
D.	8

Divide $₱500$ into two parts such that the simple interest on the first part for $9$ years at $18\%$ per annum is equal to the simple interest on the second part for $3$ years at $5\%$ per annum.

A.	$₱ 122.37,₱ 492.63$
B.	$₱ 42.37,₱ 457.63$
C.	$₱ 131.37,₱ 501.63$
D.	$₱ 93.37,₱ 473.63$

If the perimeter of a square plot is  

1

3

  m, then find the length of each side.

A.	6 12   m
B.	3 4   m
C.	1 12   m
D.	4 3   m

What is the value of ( -4x² - 7x - 3) - ( -x² + 4x - 6), when x = -2?

A.	12
B.	13
C.	15
D.	14

The average of any four consecutive odd integers is always:

A.	a prime number
B.	odd
C.	a proper fraction
D.	even

If a number is multiplied by 6, it increases by 135. Find the number.

A.	27
B.	29
C.	26
D.	28

The perimeter of any rectilinear figure is the _____ of the sides.

A.	product
B.	smallest
C.	sum
D.	largest

The mayor of Izhevsk decides to convert a public area measuring 188.1 meters by 322.58 meters into a parking lot. In order to do this, it is decided to pave the area with tiles of size 110 cm by 254 cm. How many tiles will be needed to pave the entire area?

A.	21770
B.	21717
C.	21392
D.	22518