Exam Details

Subject mathematics
Paper
Exam / Course
Department
Organization odisha public service commission
Position assistant section officer
Exam Date 2016
City, State odisha,


Question Paper

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9. The product of two 2 digit numbers is 1938. If the product of their unit's digits is 28 and that of ten's digits is 15, then find the numbers
37,54
36,54
19,38
34,57
10. 280% of a number is 560. What is the number?
200
280
1568
None of the above
11. How many two digit numbers are divisible by 3
30
20

40
None ofthe above
12. 1+ 2 3 ........... 20

190
210
400
None ofthe above
13. If the sum of first 14 terms of an Arithmetic Progression is 1050 and
RF-2N9 (3
its first term is 10 then the 20th term is:
200

100

1050


None of the above


14. Whether 301 is a term in the list of numbers 11, 17,23........

Yes


Yes if we have total number of terms as 51


No
None ofthe above
15. A quadratic equation ai+bx has no real root if

b2 0


b2 -4ac


b-4ac<0


b2 -4ac 0


16 A motor boat whose speed is 18 kml h in stiU watertake 1 hour more to go 24 km upstream than to return downstream to the same spot. Then the speed of the stream is

8km/h


24km/h


23km/h


6kmlh


(Tum over)

17. Roots of the quadratic equation
2x2 -2.J2x+1 =Oare:









None of the above

18. Forwhatvalues ofp does the pair of equations given below has unique solution:
4x +py 8 0 2x+ 2y

p=4
p;t8



For all values of p except 4


None of the above



19. 4 chairs and 3 tables cost Rs. 2100 and 5 chairs and 2 tables cost Rs. 1,750, then the cost ofa chair is:

Rs.150


Rs.500


Rs.15


None ofthe above



20. Ifa and f3 are the zeroes of the
2
quadratic polynomial x-px
11
then
a 13
pq
q/p

p/q


None of the above



RF -2A19 (4
21. =2y3+5y-7isa:

Cubic polynomial


Quadratic polynomial


Linear polynomial


None of the above


22. Thesum ofthesquaresofzeroesof
the quadratic polynomial 2
x- ax+kis40thenvalue ofkis:

14


3


a


12


23. Verify whether 2 and 0 are zeroes of the polynomial x2 -2x

Yes


No


Yes ifx2 3


None ofthe above


24. The remainder when x4 x3-2x2 X
1 is divided by is:

1


3


2


0


25. The value of if is a factor of 4x3+3x2-4x+kis:

0











Contd.

26. A fort had provisions offood for 300 30. Area of a regular hexagon each of men for 90 days. After 20 days, 50
whose sides measures 6 cm is

men left the fort. How long would the
92.528 cm2 food last at the same rate?

93.528 cm2


108 days


70 days 36 cm2


84 days

None of the above



48 days


31. The lengths of tangents drawn from
27. A and 8 together can do a piece of an external point to a circle are: work in 12 days. While 8 alone can
Parallel

finish it in 30 days. In how many days
can A alone finish the work? Not equal


18 days


Equal


20 days

None of the above


30 days

32. The area ofthe sector of a circle with
12 days radius 4 cm and of angle 30° is (use
28. At what rate percent per annum will 1t 3.14) approximately:
a sum of Rs. 2,000 amount to
Rs. 2,205 in 2 years, compounded 4.19cm2
annually?

16cm2


6


120 cm2


20

None ofthe above

2
5 33. Length of an arc of a sector of angle 8 for a circle with radius r is
29. A trader marks his goods at 40% above the cost price and allows a 3608
(A)discount of 25%. What is his gain

211r
percent?

r8


5


15


36011
211r8


2 360
65 None ofthe above
RF -2A19 (Tum over)
34. Two sides of a triangle are 8 cm and respectively, then the volume of the 11 cm respectively and its perimeter cone is (take 1t =22f7) is 32 cm then the area ofthe triangle 3

154 cm
is:


1848 em



11.J2 cm 2


3
3
84 cm


30.J2cm 2


7546cm3


11.)30cm 2

8.)30 cm 2 39. A hemispherical bowl has a radius
3.5 em. What would be the volume of
35. Ifthesum ofapair ofoppositeangles
water it would contain
of a quadrilateral is 180°, then the
(take 1t =22f7)

quadrilateral is
84.8cm3


Asymptote


3
89 cm


Cyclic

89.8 cm 3


Cubic


None ofthe above None ofthe above

36. Surface area of a cuboid whose 40. A cone of height 24 cm and radius of length, breadth and height are 15 cm, base 6 cm is made up of modeling 10 em and 20 em respectively is: clay. A child reshapes it in the form of
2

6000 cm a sphere. Then the radius of the
2


1300 cm sphere will be


3000 cm 2 2cm


None ofthe above 4 em


12 cm

37. Find the curved surface area ofa right circular cone, whose slant height is 6 em 10 em and base radius is 7 cm (take
41. The length ofthe longest pole that can
1t =2217)
2 be put in a room of dimension 10m
22 cm by10mby5m is
2


140 cm
2 25m



220 cm
2 20m



70 em


500 m

38. The height and the slant height of a cone are 21 cm and 28 em 15m
RF -2AJ9 Coold.
42. A cube has total surface area 486 cm2. Then volume ofthe cube is

829 cm3
3



486 cm



720 cm3 47


None ofthe above



43. The bar graph is a pictorial representation of numerical data in the form of rectangles of

Equal width or varying heights


Equal width and varying heights


Equal width and constant heights



48.

None of the above


44. The number of times a particular observation occurs in a given data is called its:

Range


Frequency


Group


None ofthe above



49.
45. The height (in cm) of 9 students of a
class are as follows:
155,160, 145, 149, 150, 147, 152,
144,148.

The median ofthis data is


147cm



148cm 50.


150cm


149cm



46. A coin is tossed 150times and head is obtained 71 times. Now, ifthe coin is tossed at random, what is the probability ofgetting a tail?
70/150

.................

1

71/150


79/150



Suppose we throw a die once, what is the probability of getting a number greater than 4

1/6


3


4/6


1/3



A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, then what is the
.
probability that it will be a red?

1/9


1/3


2/9


None ofthe above



An unbaised die is thrown, what is the probabilityofgettingan even number?

1/6


1/2


1/3


None ofthe above



A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a club.
1/26
1/3
1/52
None ofthe above

RF -2AJ9 (Tum over)
SPACE FOR ROUGH WORK

RF -2Af9 AS-2


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