SCIENCE INSTITUTE
SCHOLARSHIP EXAMINATION
FOR 10
th
STANDARD STUDENTS FEBRUARY - 2017
1.
Easy questions should be answerd first. Questions which are needed more time to answer should be attented
considering the alloted time for the examination. Wrong answers carry minus mark. (
Xmc-X-tay\ Ffp-¸-apÅ tNmZy-§Ä
BZyw D¯-c-sa-gp-Xm³ {i²n-¡p-I.
IqSp-X ka-b-sa-Sp¯v sNt¿-tXm {]bm-k-ta-dn-b-tXm Bb tNmZy-§Ä Ah-
km-\-L-«-¯n-te¡v amän-sh¨v ka-b-_-Ôn-X-ambn ]co-£-sb-gp-Xp-hm³ {ian-¡p-I. sXämb D¯-c-¯n\v s\Käohv amÀ¡v
hcp-¶-Xm-Wv.)
2. When you bubble the answer ensure the questions number both in the question paper and in the OMR sheet are the
same .
(OMR
se Ipanf Idp-¸n-¡p-t¼mÄ tNmZy-t]-¸-dnse tNmZy \¼dpw
OMR
se \¼dpw H¶v Xs¶-bm-sW¶v Dd¸v
hcp-¯p-I).
3. The question booklet will be sealed at the middle of the right margin. candidates shoud not open the question booklet until
the long bell is rung at 11.00 am to start answering.
(11.00
am
\v
Long Bell
tI«-Xn\v tijw am{Xta
Question paper seal
s]m«n¡m³ ]mSp-Åq)
4.
Write your name and roll number in the specific column given under the first page of question paper
(
\n§-fpsS t]cpw tdmÄ
\¼dpw Xmsg AXn-\mbn X¶n-«pÅ Øe¯v FgpXpI).
5.
White paper, Logarithm Table, Slide ruler, Calculator, Mobile Phone & other Electronic devices etc.. will not be allowed to
bring in the examination hall
( t]¸À, temK-cn-Xw tS_nÄ, ssÉUv dqfÀ, Im¡p-te-äÀ, samss_ t^m¬, Ce-Ivt{Sm-
WnIvkv kwhn-[m-\-§-fpsS aäp cq]-§Ä F¶nh ]co£m lmfn A\p-h-Z-\o-b-a-Ã).
6.
Each correct answer carries 4 marks. 1 mark will be deducted for each wrong answer
(
CXn Hmtcm icn-bp-¯-c-¯n\pw
4 amÀ¡v Bbn-cn-¡pw. Hmtcm sXämb D¯-c-¯n\pw 1 amÀ¡v (
negative mark )
hoXw Ipd-bv¡p-¶-Xm-Wv)
7.
Mark for unattended questions will be zero
( D¯-c-sa-gp-Xm¯ Hmtcm tNmZy-¯n\pw 0 (]q-Pyw) amÀ¡v Bbn-cn-¡pw).
8
Each question is provided with 5 choices (A) (B) (C) (D) & (E) having one correct answer. (
FÃm tNmZy-§Ä¡pw
(A) (B) (C)
(D) (E)
F¶n-§s\ 5 D¯-c-§Ä sImSp¯n-cn-¡pw. Ch-bn H¶p am{X-amWv icn-bmb D¯cw).
VERSION CODE
SUBJECTS
D
P C M B
hnZymÀ°n-IÄ¡pÅ \nÀt±-i-§Ä
INSTRUCTIONS TO THE STUDENTS
Name:......................................................................................... Roll No.
OMR
joänse CS-Xp-`mKw ]qcn-¸n-t¡ hn[w:
METHOD OF FILLING THE LEFT HAND SIDE OF THE OMR
1.
VERSION CODE: Version code is given on the top of the right side of the question paper. Darken the bubbles corresponding
to the version code
(VERSION CODE:
Cu t]Pnsâ apI-fn he-Xp-`m-K¯v sImSp¯
Version code
s\ kqNn-¸n-¡p¶
Ipanf Idp-¸n-¡p-I).
2.
ROLL NUMBER: Write your roll number in the specific column and darken the corresponding bubbles (ROLL NUMBER:
\n§-fpsS tdmÄ \¼À tImf-¯n Fgp-Xp-Ibpw, XmsgbpÅ Ipan-f-IÄ AXn-\-\p-k-cn¨v Idp-¸n-¡p-Ibpw sN¿p-I).
3.
DATE:
Xn¿Xn
2 6 0 2 1 7
4.
SUBJECT CODE: Darken the bubbles corresponding to the subject code PCMB
(SUBJECT CODE: PCMB F¶v ap{ZWw sNbvX-Xn\v t\sc-bpÅ Ipanf Idp-¸n-¡p-I).
No. of total questions: 80 Maximum Marks : 320 Time : 2.00 Hours
Science Institute Narukara : 0483 2768340 / Manjeri : 04836544222 / Perinthalmanna : 04933 223221
1. A student has obtained the image of a distant object with a concave mirror to determine its focal
length. If he has selected a well illuminated red building as object, which of the following correctly
describes the features of the image formed ?
[a] Virtual, inverted, diminished image in red shade
[b] Real, erect, diminished image in pink shade
[c] Real, inverted diminished image in red shade
[d] Virtual, erect enlarged image in red shade
[e] None of these
2. A student has obtained an image of a distant object on a screen to determine the focal length F1 of the
given lens. His teacher after checking the image, gave him another lens of focal length F2 and asked to
focus the same object on the same screen. The student found that to obtain a sharp image he has to
move the lens away from the screen . From this finding we may conclude that both the lenses given to the
student were.
[a] Concave and F1 < F2 [b] Convex and F1 <F2
[c] Convex and F1 >F2 [d] Concave and F1 >F2
[e]
1 2
F F
3. The path of a ray of light passing through a glass prism is shown below .
X
Y
M
N
QP
Z
O
In this diagram the angle of prism, angle of incidence , angle of emergnece and angle of deviation
respectively have been represented by
[a] O,Y, Z and N [b] P,Y,M and Z
[c] O,X , M and Z [d] P,X, Z and N
[e] O, Y N and M
SPACE FOR ROUGH WORK
VERSION : D
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1
4. The absolute refractive indices of two media ‘A; and ‘B’ are 2.0 and 1.5 respectively. If the speed of
light in medium ‘B’ is
8
2 10 /m s
, calculate the speed of light in.
[a]
8
2 10 /m s
[b]
8
1 10 /m s
[c]
8
1.5 10 /m s
[d]
8
3 10 /m s
[e]
8
2.5 10 /m s
5. Study the following diagram and select the correct statement about the device ‘X’
12cm
S
X
[a] Device ‘X’ is a concave mirror of radius of curvature 12cm
[b] Device ‘X’ is a concave mirror of focal length 6cm
[c] Device ‘X’ is a concave mirror of focal length 12cm
[d] Device ‘X’ is a convex mirror of focal length 12cm
[e] None of these
6. The device which converts sound waves into electrical pulses is
[a] Loud speaker [b] Microphone [c] Transforms
[d] Inductor [e] Transformer
7. What is the volatge between two phase lines in star connection
[a] 400V [b] 230V [c] 120V
[d] 200V [e] 430V
8. 5 Litres of 0.4 M H
2
SO
4
contains
[a] 2 mol of H
2
SO
4
[b] 0.4 mol of H
2
SO
4
[c] 5 mol of H
2
SO
4
[d] 2 mol of H
2
SO
4
[e] 4 mol of H
2
SO
4
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2
9. One mole of P
4
molecules contains
[a] 1 molecule of P [b] 4 molecule of P [c]
1
atoms of P
[d]
23
24.088 10
atoms of P [e]
23
24.088 10
molecules of P
10. An organic compound X when heated with a carboxylic acid in the presence of conci H
2
SO
4
produced
3 2 2 3
CH COO CH CH CH
as the product. The organic compound X is likely
to be
[a]
3 2 3
CH CH CO CH
[b]
3 2
CH CH OH
[c]
3 2 2
CH CH CH OH
[d]
3 2
CH CH CHO
[e]
3
CH OH
11. An ion of manganese has the electronic configuration 1s
2
2s
2
2p
6
3s
2
3p
6
3d
4.
The compound with this
ion is likely to be
[a] MnO
2
[b] Mn
2
O
3
[c] Mn
2
O
7
[d] KMn O
4
[e] K
2
MnO
4
12. The electronic configuration of an element is 1s
2
2s
2
2p
6
3s
2
3p
3
. What is the number of protons in the
atom of the element which is just below this element in the periodic table
[a] 33 [b] 16 [c] 34
[d] 49 [e] 23
13. The outermost electronic coefiguration of the most electronegative element is
[a] ns
2
np
3
[b] ns
2
np
4
[c] ns
1
[d] ns
2
np
6
[e] ns
2
np
5
14. A solution Y reacts with crushed egg shells to give a gas that turns lime water milky. The solution Y
contains
[a] Ca Cl
2
[b] NaCl [c] HCl
[d] KCl [e] CCl
4
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15. Which one of the following is not a part of human female reproductive system
[a] Ovary [b] Oviduct [c] Uterus
[d] Epididymis [e] None of these
16. A student has to perform the experiment “ To identify the different parts of an embryo of dicot seed”.
Select from the following an appropriate group of seeds:
[a] Pea, Gram, Wheat [b] Red kidney bean, maize, gram
[c] Maize, Wheat, Red kidney bean [d] Red kidney bean, Pea, gram
[e] None of these
17. Study the following diagrams showing various stages of binary fission in Amoeba
The correct sequance of these diagrams should be :
[a] I, IV, III ,II, V [b] I, III, IV, II, V [c] I, II, IV, III, V
[d] I, II, III, IV, V [e] I, III, II, IV, V
SPACE FOR ROUGH WORK
VERSION : D
SUBJECT CODE : PCMB
4
18. Identify the figures showing the process of budding in yeast
[a] I, II and III [b] II, III and IV [c] I, II and IV
[d] III, IV, and I [e] None of these
19. Which one of the following pairs of vegitables is an example of homologous structures
[a] Potato and sweet potato [b] Carrot and radish [c] Carrot and tomato
[d] Tomato and radish [e] None of these
20. You are asked by your teacher to study the different parts of an embryo of a gram seed. Given below
are the steps to be followed for the experiment .
I. Soak the gram seeds in plian water and keep them overnight
II. Cut open the soaked seed and observe its different parts
III. Take some dry gram seeds in a petri dish
IV. Drain the excess water
V. Cover the soaked seeds with a wet cotton cloth and leave them for a day. The correct
sequence of these steps is
[a] III, I, V, IV, II [b] III, I, II, IV, V [c] III, IV, V, I, II
[d] III, I, IV, V, II [e] III, II, IV, I,V
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21. Roots of the equation
2
0
x px q
are -1 and 1. Then
3 4p q
..........
[a] 3 [b] 4 [c] 0
[d] 1 [e] -1
22. In the figure
ABC
is equilateral, O is the centre, OB = 3 cm then length of BC = .....
B C
A
O
[a]
3
2
cm [b]
3
cm [c]
2 3
cm
[d]
3 3
cm [e]
2
3
cm
23. For what value of x,
2
( ) 6 11
P x x x
is minimum
[a] 0 [b] 2 [c]
3
[d] 1 [e]
3
24. The vertices of the square and the midpoints of two sides are joined as shown figure.How many times
of the area of the triangle so formed, is the area of the square?.
[a] 3 [b] 8 [c]
8
3
[d]
2 2
3
[e]
2
2 2
VERSION : D
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7
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25.
1 1 1 1
......
1 2 2 3 3 4 99 100
[a]
1
99
[b]
1
100
[c]
99
100
[d]
100
99
[e] 1
26. The length of a large diagonal of a cube is
12
cm . What is the area of the cube?
[a] 12 cm [b]
6 12
cm [c] 14 cm
[d] 24cm [e] 144 cm
27. What is a probability of the month of March to have 5 Mondays or Tuesdays
[a]
2
7
[b]
3
7
[c]
4
7
[d]
1
7
[e] 0
28. Let a, b, c, d, e are the angles in a star. What is ( a + b + c + d + e).?
d
ce
a b
[a] 180 [b] 90 [c] 360
[d] 270 [e] 45
29. Sum of the squares of sides of a right triangle is1250 and whose perimeter is 56. Find the
sum of perpendicular sides?
[a] 21 [b] 31 [c] 11
[d] 23 [e] 33
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30. The product of four consecutive natural numbers is 1680 what is the first number among them
[a] 5 [b] 6 [c] 7
[d] 8 [e] 40
31. A s shown in figure, centres of all the circles are in a line . If the sum of perimeters of small circles is
equal to 20 cm . what is the perimeter of large circle. ?
[a] 10 [b] 20 [c] 30
[d] 40 [e] 50
32. The sum of n terms of an arithmetic sequence is denoted as
n
s
and n
th
term is x
n
. If
2 7
30
S S
;
15 8
2 1
x x
. Find the common difference
[a] 15 [b] 8 [c]
3
4
[d]
4
3
[e] 1
33.
6 5 4 2
( ) 3P x x ax bx x x
is divisible by
4
1
x
then
2 2
b a
is
[a] 1 [b] 9 [c] 10
[d] 8 [e] 11
34. A right triangle with sides 3 cm, 4 cm , 5 cm is rotated with the side of 3cm as axis of rotation to form
a cone. The volume of the cone so formed is
[a] 16
cm
3
[b] 15
cm
3
[c] 12
cm
3
[d] 20
cm
3
[e] 24
cm
3
35. A water tank is hemispherical below and cylindrical at top . If the radius is 12m and capacity is
3
3312
m
. Then the height of the cylinder is ?
[a] 12m [b] 24m [c] 36m
[d] 15m [e] 18m
36. A unit circle is placed against a right angle and a small circle touching the sides of the right angle as
well as with the unit circle. Find the radius of the small circle as shown?
1
[a]
3 2 2
[b]
3 2 2
[c]
2 2
[d]
2 2
[e]
2 2 2
37. There are two straight lines
1 0
x y
and
4 3 25 0
x y
. Then which of the following straight
line passing through the point of intersection of these two given straight lines?
[a]
2 3 1 0
x y
[b]
1 0
x y
[c]
4 1 0
x y
[d]
2 3 1 0
x y
[e]
3 2 0
x y
.
38. The sides of the rectangle are integers, and they are different . The perimeter of the rectangle is
numerically equal to its area. then its length is =.............. ?
[a] 2 [b] 5 [c] 4
[d] 6 [e] 1
39. Given ‘
1x
’ is a factor of
2
x ax b
and
7
a b
. Then a = .......and b = ........?
[a]
1, 2
[b] 0,8 [c]
4, 3
[d]
3, 4
[e] 1,1
VERSION : D
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VERSION : D
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40. A square is inscribed in a circle whose diameter 2cm . Four semicircles are then constructed with
diameters as the sides of the square. Find the area of shaded portion .?
[a] 2
cm
2
[b] 4cm
2
[c] 4
cm
2
[d] 2 cm
2
[e]
cm
2
41. Find the sum
1 1 1 1 1
..........
1 3 6 10 15
[a] 2 [b]
1
1n
[c] 1
[d]
1
n
[e] 0
42. If
2
1 0
x x
then
3
x
is ...............
[a] 2 [b]
1
[c] 0
[d] 1 [e]
2
43. The average age of 24 students and their class teacher is 16 years. If the class teacher’s age is
excluded, the average reduces by 1 year, the age of the class teacher is
[a] 55 [b] 50 [c] 45
[d] 40 [e] 35
44.
2 2 2 2
1 1 1 1
2 3 4 5
2 2 2 2
[a] 256 [b] 69 [c]
1
196
4
[d]
1
256
4
[e]
1
14
4
VERSION : D
SUBJECT CODE : PCMB
10
SPACE FOR ROUGH WORK
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45. The average of 10 consecutive odd number is 120. Then which is the smallest odd number among
this ?
[a] 1 [b] 11 [c] 111
[d] 101 [e] 113
46. The value of
50 50 50 50 50
.......
72 90 110 132 9900
[a]
55
27
[b]
22
7
[c]
1
2005
[d]
23
4
[e]
55
22
47. In a box there are green, red and blue balls. The number of balls which are not green is 9. The
number of balls which are not red is 8 and the number of balls which are not blue is 7. Then total
number of balls in the box is?
[a] 24 [b] 7 [c] 9
[d]8 [e] 12
48. The speed of two runners are 15 km/hr and 16 km/hr respectively . To cover a distance ‘x’ one
take 16 minutes more than the other, then the distance ‘x’ in kilometer is....................
[a] 32 [b] 48 [c] 82
[d] 64 [e] 128
49. A black and white photohraph is 70 %black and 30 % white. It is enlarged 3 times the percentage
of white in the enlargment is ?
[a] 30% [b]
2
3
62
% [c]
1
3
33
%
[d] 90% [e] 70%
50. The hypotenuse ‘c’ and one of the side of this right angled triangle is consecutive integers.Find the
square of the third side ?(Take a,b,c are the sides of the right triangle )
[a] c - a [b]
2 2
c a
[c] ca
[d]
c
a
[e] c + a
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51. The equation of a straight line is
3 2 15 0
y x
. Then the point, which is not in the line?
[a] ( 3, 3 ) [b]
( 3,1)
[c]
( 9,11)
[d] (9,1) [e] ( 6, 1)
52. An arrow is formed in a
2 2
square, joined by the bottom corners to the midpoint of the top edge
and centre of the square as shown. Find the area of the shaded portion?
[a] 1 [b] 2
2
[c]
1
2
[d]
2
1
2
[e] 2
53. In the figure, AB, CD, EF are perpendicular to BC, If AB = 6cm, EF = 2cm then CD =
A
B
6
2
E
F
D
C
[a] 1cm [b] 2cm [c] 4cm
[d] 3cm [e] 5cm
VERSION : D
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54. Three balls are placed inside a cone such that each ball is in contact as well as with the edge of the
cone . If the radii of the balls are 20cm, 12cm and r cm respectively; find r ?
12
20
r
[a] 8cm [b] 4cm [c] 4.8 cm
[d] 7.2 cm [e] 6.4 cm
55. A telephone company places four round small cables in big round duct. Assuming the diameter of
each cable is 2cm. Find the diameter of outer duct ?
[a]
2 3 4
cm [b]
2 8
cm [c]
2 2 4
cm
[d]
8 2
cm [e]
8 3
cm
56. All terms of an arithenmetic sequance are + ve numbers. The ratio of difference of the 8
th
term and 4
th
term to the 15
th
term is
4
15
and the square of the difference of fourth and first term is 225, what is its
first term ?
[a] 4 [b] 24 [c] 15
[d] 9 [e] 5
VERSION : D
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14
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57. A train leaves a station 1 hour before the scheduled time . The driver decreases the speed by 4 km
per hour. At the next station 120 km away, the train reached in the scheduled time . The original speed
of the train in km/hr is ...............
[a] 22 [b] 36 [c] 18
[d] 24 [e] 40
58. AB, AC are tangents , D is the midpoint of the minor arc BC. For the triangle ABC, D is............. ?
C
D
A
B
[a] perpendicular bisector [b] in centre [c] circum centre
[d] centroid [e] bisector
59. In the figure, ‘O’ is the centre of the semicircle and AB and AC are tangents.
0
90
A
, OB = 15 cm
OC = 20cm . What is the radius of the semicircle?
D
B
A
E
C
O
[a] 12 cm [b] 20cm [c] 17.5 cm
[d] 5cm [e] 15cm
VERSION : D
SUBJECT CODE : PCMB
15
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60 ABCD is a trapezium whose diagonals meets at M. PQ is parallel to AB, AB = 12cm , CD = 4cm.
Find PQ ?
A B
CD
P Q
4
M
12
[a] 4.5 cm [b] 8cm [c] 10cm
[d] 6 cm [e] 7cm
61. In the figure ,
0
90
A
,
AD BC
, AB = 5cm , AC = 12cm then BD =..........
A
D CB
[a] 13 cm [b]
12
13
cm [c] 8.5 cm
[d]
25
13
cm [e]
7
25
cm
62. In
ABC
, AB = AC, M is the midpoint of AC then
..............
BP
AP
?
A
C
MB
P
[a] 1 [b] 3 [c] 2
[d] 4 [e] 5
VERSION : D
SUBJECT CODE : PCMB
16
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63. A 20 m deep well with dia meter 7m isdug and the earth from digging is evenly spread out to form a
plat form 22 m by 14m. . Then height of the (plat form) is (Take
22
7
)..................
[a] 2.5 m [b]2 m [c] 3 m
[d]1.5 m [e] 4 m
64.
90
C
, AB = 10cm , CD = 12cm x + y = 90 , what is the length of BC ?
D
A C
10cm
12cm
x
B
y
[a] 8 [b] 12 [c] 6
[d] 10 [e] 14
65. The sides of the right triangle is 6,8 10 centemeters . What is its inradius
A
B
C
[a] 2 cm [b] 4cm [c] 5cm
[d] 3cm [e] 7cm
66. What is 1 + 3 + 6 + 10 + .....+ 55 =
[a] 230 [b] 440 [c] 330
[d] 560 [e] 220
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67.
1
2 6
3 9 15
4 12 20 28
5 15 25 35 45
6 18 30 42 54 66
........................................
........................................
.........
Find the sum of the terms of 10
th
row
[a] 956 [b] 1000 [c] 990
[d] 2000 [e] 1200
68. If the sides of a cyclic quadilateral is 5,4,6,7 centemeters. Find the area of thisquadrilateral ?
[a]
840
[b] 840 [c] 210
[d] 420 [e]
210
69. Find the volume of largest cone that can be carved out from the solid sphere of radius 3 cm
[a]
32
cm
3
[b]
3
81
4
cm
[c]
9
cm
3
[d]
3
81
8
cm
[e]
27
cm
3
70. In a maths examination , the average for the entire class was 80 marks. If 10 % of the students
scored 95 marks and 20% scored 90 marks. What was the average marks of the remaining students
of the class.
[a] 85 [b] 80 [c] 70
[d] 75 [e] 65
VERSION : D
18
SUBJECT CODE : PCMB
Science Institute Narukara : 0483 2768340 / Manjeri : 04836544222 / Perinthalmanna : 04933 223221
SPACE FOR ROUGH WORK
71. If three metallic spheres of radii 6cm, 8 cm , and 10cm are melted to form a single sphere, the radius of
the new sphere will be.........
[a] 14 cm [b] 12 cm [c] 18 cm
[d] 16 cm [e] 15 cm
72. The sum of first
( 1)
n
terms of an arithmetic sequence is
2
5 6 1n n
., then its algebric form [ n
th
term]
is
[a]
10 1n
[b]
10 6
n
[c]
10 12
n
[d]
5 6
n
[e]
2
5 4n n
73. O is the centre of large semicircle and other two semicircle are also drawn.Where diameter is the
radius of big semicircle. If. AB = 18cm . Find the radius of the small circle ?
A O B
[a] 9cm [b] 4.5cm [c] 3 cm
[d] 8 cm [e] 6 cm
74. How many squares are there in the figure.?
[a] 9 [b] 8 [c] 10
[d] 12 [e] 14
VERSION : D 19
SUBJECT CODE : PCMB
Science Institute Narukara : 0483 2768340 / Manjeri : 04836544222 / Perinthalmanna : 04933 223221
SPACE FOR ROUGH WORK
75. If
3sin 4cosA A
., then find tan AA
[a] 3 [b]
4
3
[c] 4
[d]
3
4
[e] 1
76. In the figure, O is the centre of the circle and OPQR is a rhombus , then
PQR
O
P Q
R
[a] 60 [b] 120 [c] 90
[d] 180 [e] 100
77. The quadrilateral has two diagonals, pentagon has 5 diagonals. Find the maximum number of diagonals
of decagon?
[a] 10 [b] 35 [c] 20
[d] 25 [e] 30
78. If
2
( ) 10 25
p x x x
and P(a) = P(b) then a + b = ......................
[a] 10 [b] 1 [c] 5
[d] 0 [e] 25
Science Institute Narukara : 0483 2768340 / Manjeri : 04836544222 / Perinthalmanna : 04933 223221
VERSION : D 20
SUBJECT CODE : PCMB
79.
2 2 2 2 2 2
50 49 48 47 ....... 2 1
.....
[a] 1 [b] 2500 [c] 1000
[d] 0 [e] 1275
80. For an arithemetic sequence sum of first 4 terms is equal to 44 and its third term is 14 what is its first
term?
[a] 8 [b] 4 [c] 6
[d] 2 [e] 1
SPACE FOR ROUGH WORK