A real number $\dfrac{ 19^{ 9 } \times 8^{ 2 } \times 5^{ 3} \times 38 }{ 19^{ 10 } \times 8^{ 6 } \times 5^{ 9} }$ will have

A.	Non-terminating and repeating decimal expansion
B.	Non-terminating and non - repeating decimal expansion
C.	Terminating decimal expansion
D.	Can't be determined

If $x-3$ is a common factor of $x^ { 3 } + x^ { 2 } + ax-6$ and $x^ { 3 } + x^ { 2 }-3x + b$, then what is the value of $4a + 2b$?

A.	$-90$
B.	$-84$
C.	$-95$
D.	$-94$

In how many parts do the axes divide the plane?

A.	$3$ parts
B.	$4$ parts
C.	$1$ part
D.	$2$ parts

Find the linear equation represented in the graph below.

A.	y = x + 2
B.	y = -x + 2
C.	y = 2
D.	y = - 2

If AB and CD are parallel, find the value of x+y.

A.	55°
B.	85°
C.	65°
D.	45°

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

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

In the quadrilateral ABCD, AO and DO are the bisectors of ∠A and ∠D respectively. If ∠B = 88° and ∠C = 146° than ∠AOD is:

A.	127°
B.	106°
C.	117°
D.	234°

The area of a trapezium is 136 cm² and the distance between its parallel sides is 8 cm. If one of the parallel sides is of length 6 cm, find the length of the other side.

A.	26 cm
B.	14 cm
C.	56 cm
D.	28 cm

Given a circle, a circumscribed square is one that completely encloses the circle, and an inscribed square is completely enclosed by the circle, as shown below

If the the difference in the areas of the two squares is 56 sq. m., then what is the area of the circle in sq. m.? (Assume π =  

22

7

 )

A.	88
B.	104
C.	77
D.	110

To construct an angle of $30^\circ,$ we bisect:

A.	$90^\circ$
B.	$60^\circ$
C.	$67.5^\circ$
D.	$75^\circ$

In Heron's formula, $\sqrt { S(S-a)(S-b)(S-c) }$, $S$ is equal to:

A.	$\dfrac { a \times b \times c } {2}$
B.	Half of perimeter of the triangle
C.	$\dfrac { a + b + c } { abc }$
D.	$a + b + c$

A sphere is just enclosed inside a right circular cylinder. If the volume of the cylinder is 60 cm³, find the volume of the sphere.

A.	50 cm3
B.	20 cm3
C.	80 cm3
D.	40 cm3

If the mean of $4$ observations $x, x + 2, x + 4, x + 6$ is $6$, find the value of $x.$

A.	$5$
B.	$8$
C.	$10$
D.	$3$

Three coins are tossed simultaneously $200$ times and it is found that three heads appeared $100$ times, two heads appeared $70$ times, one head appeared $20$ times and no head appeared $10$ times.
If three coins are tossed simultaneously at random, what is the probability of getting $3 \text { heads }$?

A.	$1$
B.	$0.5$
C.	$0.1$
D.	$0.35$

Pump A and B can fill a tank in 40 minutes and 60 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.	34 minutes
B.	32 minutes
C.	33 minutes
D.	31 minutes

If $f(x)$ and $g(x)$ are polynomials of degree $p$ and $q$ respectively, then the degree of $[f(x) \pm g(x)]$ (if $f(x) \ne 0$ and $g(x) \ne 0$) is

A.	Less than or equal to max $(p, q)$
B.	Equal to min $(p, q)$
C.	Greater than max $(p, q)$
D.	Greater than min $(p, q)$