If  

4

-9

  =  

-8

X

 , then X = ?

A.	-18
B.	18
C.	9
D.	None of these

Let $R _1$ and $R _2$ be the remainders when the polynomials $f(x) = 11x^ { 3 } + 4x^ { 2 }-4ax-4$ and $g(x) = 13x^ { 3 } + ax^ { 2 }-15x + 3$ are divided by $(x + 5)$ and $(x + 3)$ respectively. If $5 R _1 + 4 R _2 - 9 = 0$, what is the value of $a$?

A.	$54$
B.	$64$
C.	$56$
D.	$58$

Two points having the same abscissa but different ordinates lie on

A.	a line parallel to the y-axis
B.	$y-$ axis
C.	$x-$ axis
D.	a line parallel to the $x-$ axis

Find the point where linear equation 6x + 2y = 14 intersects with y-axis.

A.	(0, 2)
B.	(0, 7)
C.	(7, 0)
D.	(6, 0)

Compare the following angles using tracing paper.

A.	$\angle ABC < \angle PQR$
B.	$\angle ABC > \angle PQR$
C.	$\angle ABC = \angle PQR$
D.

If $AD$ is the median of $\triangle ABC,$ then:

A.	$AC + AB < 2AD$
B.	$AC + AB = 2AD$
C.	$AC + AB > 2AD$
D.	None of these

In a rectangle ABCD, E, F, G, and H are the midpoints of the four side, what kind of shape is represented by EFGH.

A.	Rhombus
B.	Square
C.	Rectangle
D.	Can not be determined

The area of a trapezium is 434 cm² and the distance between its parallel sides is 28 cm. If one of the parallel sides is of length 11 cm, find the length of the other side.

A.	20 cm
B.	10 cm
C.	18 cm
D.	40 cm

Two circles with centres O and O′ intersect at two points A and B. A line PQ is drawn parallel to OO′ through A(or B) intersecting the circles at P and Q. Find the ratio PQ:OO′.

A.	2:1
B.	3:2
C.	1:2
D.	1:1

Which of the following angles can be constructed using ruler and compass only?

A.	$72^\circ$
B.	$20^\circ$
C.	$120^\circ$
D.	$65^\circ$

Find the percentage increase in the area of a triangle if each side is increased by $m$ times.

A.	$100(m^2 + 1) \%$
B.	$100(m^2 -1) \%$
C.	$200 m^2 \%$
D.	$100 m^2 \%$

If the radii of two hemispheres are in ratio 5:6, find the ratio of their surface area.

A.	25:36
B.	6:5
C.	36:25
D.	5:6

The average of Oswald's marks in 5 subjects is 83. He got 41 marks in the 6^th subject. What is his average in all 6 subjects?

A.	75
B.	76
C.	77
D.	78

A die is thrown $500$ times and the outcomes are noted as given below.

$Outcome$	$1$	$2$	$3$	$4$	$5$	$6$
$Frequency$	$125$	$25$	$75$	$50$	$100$	$125$

From the above table find the probability of getting $5$?

A.	$0.05$
B.	$0.1$
C.	$0.15$
D.	$0.2$

Find the conclusion by assuming following statements to be true (Statements may be contrary to the universal opinion).
Statements :
(i) All phones are toys
(ii) All cats are phones.
Conclusion?

A.	Some toys are cats
B.	All cats are toys
C.	Some phones are cats
D.	No cat is a toy

Two candles have different lengths and thickness. The shorter lasts 9 hours and the longer 5 hours when both are lit simultaneously. If after 2 hours of their being lit together at the same time, both have the same length, then find the ratio of their original lengths.

A.	3:4
B.	28:37
C.	7:9
D.	27:35