The HCF of 494 and 285 is

A.	24
B.	18
C.	19
D.	None of above

Find a quadratic polynomial whose zeros are reciprocals of the zeros of the polynomial ^@x^2 + x-6^@.

A.	^@ k[x^2 - \dfrac { 1 } { 6 } x - \dfrac { 1 } { 6 } ] ^@
B.	^@ k[x^2 + \dfrac { 1 } { 6 } x + \dfrac { 1 } { 6 } ] ^@
C.	^@ k[x^2 + \dfrac { 1 } { 6 } x - \dfrac { 1 } { 6 } ] ^@
D.	^@ k[x^2 - \dfrac { 1 } { 6 } x + \dfrac { 1 } { 6 } ] ^@

If the following pair of equations have infinitely many solutions, then what is the value of p and q?
4x + 12y -4 = 0
(2p + 3q)x + (2p + q)y + 2 = 0

A.	p = -3, q = 2
B.	p = -5, q = 2
C.	p = -4, q = 1
D.	p = -4, q = 2

Which of the following is a solution to inequality x² - 9 x < - 8

A.	-8 < x < -1
B.	1 ≤ x < 8
C.	1 < x < 8
D.	1 < x ≤ 8

Violette intends to read a ^@240^@ page book within a specific period. She starts by reading ^@15^@ pages on the first day and increases her rate of reading by reading an extra ^@2^@ pages for each subsequent day. How long will she take to finish reading the book?

A.	^@9^@
B.	^@18^@
C.	^@10^@
D.	^@6^@

If ^@\dfrac{ BD }{ DC } = \dfrac{ AB }{ AC }^@, then find the value of ^@\angle CAD^@.

A.	^@25^\circ^@
B.	^@40^\circ^@
C.	^@30^\circ^@
D.	^@80^\circ^@

The points ^@ A(6,3)^@, ^@B(2,3)^@, ^@C(1,4)^@, and ^@D(0,4)^@ are the vertices of a parallelogram ^@ABCD.^@ If ^@AB^@ is the base, find the height of the parallelogram.

A.	^@ 11 {\space} \text{units} ^@
B.	^@ 1 {\space} \text{units} ^@
C.	^@ 51 {\space} \text{units} ^@
D.	None of these

If ^@ 3 x ^@ = ^@cosec {\space}\theta^@ and ^@\dfrac { 3 } { x }^@ = ^@cot {\space}\theta^@. Find the value of ^@12 (x^2 - \dfrac{1} {x^2})^@.

A.	^@ \dfrac { 4 } { 3 } ^@
B.	^@ \dfrac { 14 } { 13 } ^@
C.	^@ \dfrac { 9 } { 9 } ^@
D.	None of these

^@ AP ^@ and ^@ BP ^@ are the two tangents at the extremities of chord ^@ AB ^@ of a circle. ^@ \angle MAP ^@ is equal to:

A.	^@ \angle APM ^@
B.	^@ \angle APB ^@
C.	^@ \angle MBP ^@
D.	^@ \angle MPB ^@

A.
B.
C.
D.

To warn ships for underwater rocks, a lighthouse throws a red colored light over a sector of angle ^@ 90^\circ ^@ to a distance of ^@ 4.9 \space km^@. Find the area of the sea over which the ships are warned. ^@ \bigg( ^@ Use ^@ \pi = \dfrac { 22 } { 7 } \bigg)^@

A.	^@ 7.7 \space km^2 ^@
B.	^@ 6 \space km^2 ^@
C.	^@ 18.87 \space km^2 ^@
D.	^@ \text { None of these } ^@

The perimeters of the ends of the frustum of a cone are ^@7.48 \space cm^@ and ^@10.56 \space cm^@. If the height of the frustum is ^@46 \space cm^@, find its curved surface area. (Take ^@\pi = \dfrac { 22 } { 7 }^@).

A.	^@ 9.02 \space cm^2 ^@
B.	^@ 132.02 \space cm^2 ^@
C.	^@ 414.92 \space cm^2 ^@
D.	^@ \text { None of these } ^@

Find the median height from the following data

Class interval	150-155 cm	155-160 cm	160-165 cm	165-170 cm	170-175 cm
Frequency	7	11	12	10	26

A.	161.5
B.	166.5
C.	156.5
D.	176.5

There are 5 pens belonging to 5 students. The pens were put into a box, and each student pulls out a pen one after the other. What is the probability that each student gets his or her own pen?

A.	2 120
B.	1 40
C.	3 60
D.	1 120

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

Name	Number of books
Radhika	15
Izra	29
Yoan	x
Kelly-Anne	30
Jonathan	41

If the average number of books read by the children was 30, then how many books did Yoan read over the year?

A.	31
B.	35
C.	37
D.	39

A dice has numbers ^@1^@ to ^@6,^@ such that sum of opposite faces are always ^@7.^@ Which is the correct view of dice^@?^@

A.
B.
C.
D.

In this diagram, the triangle represents women, the square represents lawyers and the circle represents employed. Find the number of lawyers who are employed but not women.

A.	6
B.	4
C.	5
D.	9

Find the next term of given sequence ..
7, 34, 169, 844, 4219, 21094, ....

A.	105464
B.	105468
C.	105469
D.	105476

Which of the following choices would replace the blanks below
vg_vg_v_avg_

A.	vgag
B.	vvvg
C.	avva
D.	aaga

Which of the following fills the blank in the series below:
^@ B, XW, FG, \underline{\hspace{.30in}}, JKLM, PONML. ^@

A.	^@ST^@
B.	^@U^@
C.	^@ T ^@
D.	^@QR^@