Two tankers contain 1326 litres and 357 litres of petrol respectively. Find the maximum capacity of the container which can measure the petrol of either tanker in exact number of litres.

A.	51
B.	52
C.	50
D.	None of above

If α and β are the zeros of quadratic polynomial x² - px + 2q, find the value of α² + β².

A.	p2 - 2q
B.	2p2 - 4q
C.	p2 - 8q
D.	p2 - 4q

$Tk56000$ were divided equally among a certain number of persons. Had there been $10$ more persons each would have got $Tk100$ less. Find the original number of persons.

A.	$75$
B.	$72$
C.	$74$
D.	$70$

The sum of the n consecutive natural numbers starting from 4 is 72. Find the value of n.

A.	10
B.	8
C.	9
D.	11

In an arithmetic progression, if the value of the a^th term is b, and the value of the b^th term is a, then what is the value of the nth term?

A.	a - b - n
B.	a - b + n
C.	n - b - a
D.	a + b - n

In a quadrilateral $ABCD$, $\angle B = 90^\circ$. If $AD^2 = AB^2 + BC^2 + CD^2$. Find $\angle ACD$.

A.	$90^\circ$
B.	$270^\circ$
C.	$180^\circ$
D.	$75^\circ$

Two vertices of $\Delta {ABC}$ are given by $A(15,0)$ and $B(12,6)$, and its centroid is $G(15, 5)$. Find the coordinates of the vertex $C$.

A.	$(18,9)$
B.	$(20,11)$
C.	$(22,13)$
D.	$(21,12)$

$tan (A + B) = \sqrt{ 3 }$ and $sin (A - B) = \dfrac{ 1 }{ 2 }$

If $0^\circ < (A+B) \le 90^\circ$ and $A > B,$ find value of $B.$

A.	$20^\circ$
B.	$12.5^\circ$
C.	$10^\circ$
D.	$15^\circ$

In the given figure, a circle is inscribed in a $\triangle PQR.$ $PQ = 6 \space cm, QR = 4 \space cm,$ and $PR = 8 \space cm.$ What is the length of $PL$ ?

A.	$1 \space cm$
B.	$7 \space cm$
C.	$3 \space cm$
D.	$5 \space cm$

A.
B.
C.
D.

Choose the correct area of the sector of a circle of radius $5 \space cm$, if the corresponding arc length is $3.1 \space cm$.

A.	$9.75 \space cm^2$
B.	$7.75 \space cm^2$
C.	$15.5 \space cm^2$
D.	$\text{ None of these }$

Sahir cut a cylindrically shaped candle, having a diameter and height as $6 \space cm$ and $28 \space cm$ respectively, into $7$ equal parts. He then took a piece and rolled it into $3$ similar balls. What would be the diameter of the ball$?$

A.	$0.416 \space cm$
B.	$6.16 \space cm$
C.	$41.6 \space cm$
D.	$4.16 \space cm$

Choose the correct median for the following data:

$\text{ Diameter (in mm) }$ $\text{ Number of screws }$ $60 - 62$ $19$ $63 - 65$ $27$ $66 - 68$ $24$ $69 - 71$ $26$ $72 - 74$ $12$ $75 - 77$ $28$ $78 - 80$ $25$ $81 - 83$ $31$

A.	$71.5 \space mm$
B.	$73.5 \space mm$
C.	$69.5 \space mm$
D.	$70.5 \space mm$

A box contains 4 purple and 7 black balls. Tabassum takes out a ball, puts it back, and then takes out another ball. What is the probability that both balls were purple?

A.	16 77
B.	7 11
C.	4 11
D.	16 121

In the given figure, the incircle of $\triangle ABC$ touches the sides $BC, CA,$ and $AB$ at $P, Q,$ and $R$ respectively. The length $(AR + BP + CQ)$ is equal to:

A.	$\dfrac { 1 } { 2 } \text{(Perimeter of } \triangle ABC)$
B.	$\text{Perimeter of } \triangle ABC$
C.	$\dfrac { 1 } { 2 }$
D.	$\text{ None of these }$

Faces of a cube are marked with 1,2,3,4,5 and 6. If two views of a cube are as shown below, what will be there on the top when 4 is at the bottom?

A.	3
B.	6
C.	2
D.	Cannot be determined

In this diagram, the triangle represents men, the square represents teachers and the circle represents sports persons. Find the number of men who are teachers and sports persons.

A.	8
B.	5
C.	2
D.	9

Find the missing number

6	4	13
9	2	13
33	18	?

A.	65
B.	71
C.	52
D.	78

Which of the following choices would replace the blank below
CEG:XVT::HJL:____

A.	TRP
B.	RPN
C.	SQO
D.	SPP

Which of the following can take the place of the blank in the series below?
C2Z, G3V, K5R, _____, S11J

A.	O7N
B.	P8O
C.	N7N
D.	O8O