2 + 5√3 is __________ number

A.	an irrational
B.	a natural
C.	a rational
D.	a whole

Find the zeros of the polynomial f(x) = $x^3-9x^2 + 26x-24$, if it is given that sum of its two zeros is $6$.

A.	$3, 3 \space and \space 2$
B.	$3, 3 \space and \space 4$
C.	$4, 2 \space and \space 3$
D.	$4, 2 \space and \space -3$

A sailer can row $30{\space} km$ downstream in $6{\space} hours$ and $12{\space} km$ upstream in $8 {\space}hours$. Find the speed of the sailer in still water.

A.	$8.25{\space} km/h$
B.	$13.25{\space} km/h$
C.	$3.25{\space} km/hr$
D.	None of these

Find the values of $k$ for which $24 x^2 - k x + 8$ $= 0$ has real roots.

A.	$k \leq 96$
B.	$k \geq \sqrt{ 768 }$
C.	$k \geq \dfrac { 49 } { 2 }$
D.	None of these

What is the first negative term in the arithmetic progression 114, 111, 108,...?

A.	41st
B.	39th
C.	38th
D.	40th

The areas of two similar triangles $\Delta ABC$ and $\Delta PQR$ are $9 \space cm^2$ and $100 \space cm^2$ respectively. If $QR = 5 \space cm$, find $BC$

A.	$4.5 \space cm$
B.	$2.5 \space cm$
C.	$1.5 \space cm$
D.	$3.5 \space cm$

Find the coordinates of a point $P$ on the line segment joining $A(14, 28)$ and $B(21, 35)$ such that $AP = \dfrac 37 AB$.

A.	$(27, 41)$
B.	$(22, 36)$
C.	$(17, 31)$
D.	None of these

From a tower on a straight road, the angles of depression of two cars at an instant are 30° and 60°. If the cars are 50 m apart, find the height of the tower.

A.	25√2
B.	27(1 + √2)
C.	25(1 + √2)
D.	25√3

From a point $P$ outside a circle with center $O$, tangents $PA$ and $PB$ are drawn to the circle. The line segment formed by joining the points $A$ and $B$ intersect the line segment $OP$ at $M$. What is the measure of $\angle AMP$ ?

A.	$60^\circ$
B.	$80^\circ$
C.	$90^\circ$
D.	$180^\circ$

A.
B.
C.
D.

What is the area of the largest triangle that can be inscribed in a semi-circle of radius $r$ units?

A.	$4 r^2 \text{ sq. units }$
B.	$\dfrac { 1 } { 4 } \text{ sq. units }$
C.	$r^2 \text{ sq. units }$
D.	$\text { None of these }$

Mongkut made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. If the height of the cylinder is 166 cm and its radius is 73 cm. Choose the correct total surface area of the bird-bath. (Take π = 22/7)

A.	109666.86
B.	76170.29
C.	33496.57
D.	None of these

The table below shows the number of books read by five children in a year.

Name	Number of books
Niran	29
Kulap	42
Somchai	x
Tola	34
Kiet	35

If the average number of books read by the children was 31, then how many books did Somchai read over the year?

A.	19
B.	15
C.	16
D.	9

Three unbiased coins are tossed simultaneously. Find the probability of getting exactly $2$ heads.

A.	$\dfrac { 5 } { 8 }$
B.	$\dfrac { 3 } { 8 }$
C.	$\dfrac { 1 } { 2 }$
D.	$\dfrac { 3 } { 7 }$

4 + 4√5 is __________ number

A.	a rational
B.	an irrational
C.	a whole
D.	a natural

Faces of a cube are marked with A,B,C,D,E and F. If two views of cube are as shown below, what will be there on the bottom when D is at the top?

A.	C
B.	D
C.	F
D.	A

Which of following shows relation between Iron, Platinum and Metal.

A.
B.
C.
D.

Find the missing number

28	17	107
-23	-34	?

A.	52
B.	56
C.	61
D.	5

Which of the following is the next terms in the series given below?
FY, JT, NO, RJ, ___

A.	WD
B.	VE
C.	UE
D.	UD

Select the figure from the options which satisfies the same conditions of placement of the dots as in the figure.

A.
B.
C.
D.