Which among $69^2$, $76^2$, $42^2$, $75^2$ would end with digit $4$?

A.	$76^2$
B.	$69^2$
C.	$42^2$
D.	$75^2$

Factorize: $$\begin {aligned} x^2 - 1 - 2d - d^2 \end{aligned}$$

A.	$(x + 1 - d ) (x + 1 + d )$
B.	$(x - 1 - d ) (x - 1 + d )$
C.	$(x - 1 - d )^2$
D.	$(x - 1 - d ) (x + 1 + d )$

Two distinct points in a plane determine ______ line.

A.	one unique
B.	infinite
C.	two
D.	three

If the graph of the equation $12 x + 5 y = 60$ cuts the coordinate axes at $A$ and $B$, then what is the length of the hypotenuse of right triangle $\triangle AOB$?

A.	$13$ units
B.	$14$ units
C.	$19$ units
D.	$2$ units

Find the measure of angle x.

A.	60°
B.	90°
C.	80°
D.	70°

If the altitude from vertex $A$ of $\triangle ABC$ bisects the opposite side, then:

A.	$AB = AC$
B.	$AB = AD$
C.	$AC = AD$
D.	$AB = BD$

In the parallellogram ABCD, the sum of angle bisectors of two adjacent angles is ______.

A.	90°
B.	30°
C.	115°
D.	45°

The area of a trapezium is 630 cm² and the distance between its parallel sides is 30 cm. If one of the parallel sides is of length 17 cm, find the length of the other side.

A.	25 cm
B.	23 cm
C.	50 cm
D.	12.5 cm

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

A.	7 cm
B.	5 cm
C.	9 cm
D.	6 cm

To construct an angle of $15^\circ,$ we bisect:

A.	$60^\circ$
B.	$37.5^\circ$
C.	$30^\circ$
D.	$45^\circ$

If in the figure below AB = 14 cm, BC = 21 cm, CA = 10 cm, BE = 25 cm, and BD ⊥ DC find the area of the trapezium BDCE.

A.	253.06 cm2
B.	119.76 cm2
C.	404.9 cm2
D.	59.88 cm2

If volume of a cube is 27 cm³, find its surface area.

A.	54 cm2
B.	48 cm2
C.	60 cm2
D.	51 cm2

If there are $n$ numbers of which one is $\left( 1 - \dfrac{ 1 } { n^3 } \right)$ and all the others are $1's,$ then by how much is the arithmetic mean of these numbers less than $1.$

A.	$n^3$
B.	$n^{ 4 }$
C.	$\dfrac{ 1 } { n^4 }$
D.	$\dfrac{ 1 } { n^3 }$

A coin is tossed $700$ times and it is found that head comes up $539$ times and tail $161$ times. If such a coin is tossed, then what is the probability of getting a tail?

A.	$1$
B.	$0.77$
C.	$0.23$
D.	$0.78$

If there are 35 diagonals in a convex polygon, find the number of sides of the polygon.

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

If AB and DE are parallel to each other, find the measure of ∠BCD.

A.	59°
B.	54°
C.	49°
D.	64°