SCIENCE INSTITUTE
SCHOLARSHIP EXAMINATION (SSE - 2023)
FOR 10
th
STANDARD STUDENTS JANUARY - 2023
1The question booklet will be sealed at the middle of the right margin. candidates should not open the
question booklet until the long bell is rung at 2.30 pm to start answering.
(2.30
pm
\v
Long Bell
tI«-Xn\vtijw am{Xta
Question paper seal
s]m«n¡m³ ]mSp-Åq)
2. 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).
3. 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).
4. 70 qeustions are given in the question paper (Cu tNmZy-t]-¸-dn 70 tNmZy-§-fmWv DÅXv ) .
5. Each correct answer carries 4 mark. There is no negative mark. Even though there is no negative
mark for wrong answer, ranks will be given considering the minimum number of wrong answers
(CXn Hmtcm icn-bp-¯-c-¯n\pw 4 amÀ¡v Bbn-cn-¡pw. sXämb D¯-c-¯n\v negative mark Dm-bn-cn-¡p-
¶-X-Ã.
sXämb D¯-c-¯n\v
negative mark
CsÃ-¦nepw sXämb D¯-c-§-fpsS F®-¯n-epÅ Ipdhv
]cn-K-Wn¨v sImm-bn-cn¡pw dm¦p-IÄ \ÂI-s¸-Sp-¶-Xv.)
6. Questions are given in English and Malayalam.
( English Medium
hnZymÀ°n-IÄ¡v
Question
Cw¥ojnepw
Malayalam Medium
hnZymÀ°n-IÄ¡v
Question
ae-bmf¯nepw \ÂIn-bn-cn-¡p-¶p.)
7. There is only one correct answer for any question choose the correct one from the given choices.
(X¶n-cn-¡p¶ D¯-c-§-fn icn-bmb D¯cw H¶p am{Xambn-cn-¡pw. AXv sXc-sª-Sp¯p \nÝnX
\¼-dn\p t\sc-bpÅ \nÝnX Ipanf am{Xw Idp-¸n-¡p-I ).
SUBJECT CODE
hnZymÀ°n-IÄ¡pÅ \nÀt±-i-§Ä
INSTRUCTIONS TO THE STUDENTS
Name:......................................................................................... Roll No.
Total No of questions: 70 Maximum Marks : 280 Time : 2.00 Hours
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 1 / 2 0 2 3
4. SUBJECT CODE: Darken the bubbles corresponding to the subject code Others
(SUBJECT CODE: Others F¶v ap{ZWw sNbvX-Xn\v t\sc-bpÅ Ipanf Idp-¸n-¡p-I).
Others
A
VERSION CODE
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
VERSION : A Subject Code : Others
3
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
1. The unit of gravitational constant G is
(a) N/m2 kg 2(b) N kg /m2
(c) Nm2 / kg 2(d) Nm / kg 2
(e) N kg 2 /m2
2. The maximum value of g on earth is ?
(a) At the equator
(b) At the poles
(c) At the centre of the earth
(d) Same everywhere on earth
(e) None of these
3. Which of the following graph indicate
uniform velocity ?
(a)
time
Position
(b)
time
Ve loc ity
(c)
time
V e lo c ity
(d)
time
Position
(e)
time
Velocity
1. Kpcp-Xzm-IÀjW Øncm¦-¯nsâ (G)
bqWn-ämWv .......................
(a) N/m2 kg 2(b) N kg /m2
(c) Nm2/ kg 2(d) Nm / kg 2
(e) N kg 2 /m2
2. g bpsS Gähpw IqSnb hne `qan-bnÂ
FhnsS Bbn-cn-¡p-t¼m-gm-Wv ?
(a) `qa²y tcJm {]tZ-i¯v
(b) {[ph {]tZ-i¯ v
(c) `qtI-{µ-¯nÂ
(d) `qan-bn FÃm-bn-S¯pw Htc hne-
bm-bn-cn¡pw
(e) Ch-sbm-¶p-aÃ
3. Xmsg sImSp-¯-Xn ka{]th-Ks¯
kqNn-¸n-¡p¶ {Kmt^Xv ?
(a)
Øm\w
kabw
(b)
kabw
{]thKw
(c)
kabw
{]thKw
(d)
Øm\w
kabw
(e)
kabw
{]thKw
Space for rough work
VERSION : A Subject Code : Others
4
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
4. Select the odd one
(a) Generator
(b) Loudspeaker
(c) Transformer
(d) Inductor
(e) Microphone
5. What is the current through
5
resistor ?
10V
5
10 10
(a)
5
3
A
(b) 1 A
(c) 2A (d)
2
5
(e) 3 A
6. What is the value of angle of reflection
‘r’ ?
30
0
(a) 300(b) 900
(c) 600(d) 450
(e) 500
4. Hä-bms\ Is-¯pI
(a) P\-td-äÀ
(b) euUvkv]o-¡À
(c) {Sm³kvt^maÀ
(d) C³U-IväÀ
(e) ssat{Im-t^m¬
5. Xmsg sImSp¯ kÀ¡o-«nÂ
5
{]Xn-tcm-[-I-¯n-eq-sS-bpÅ Idâ v
F{X?
10V
5
10 10
(a)
5
3
A
(b) 1 A
(c) 2A (d)
2
5
A
(e) 3 A
6. {]Xn-]-X\tImWnsâ ( r ) hne F{X?
30
0
(a) 300(b) 900
(c) 600(d) 450
(e) 500
Space for rough work
VERSION : A Subject Code : Others
5
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
7. At the time of catching a cricket ball ,
hand is moved backward along with the
ball. This is to.......
(a) Increase the change in momentum
(b) Increase the rate of change of
momentum
(c) Decrease the rate of change of
momentum
(d) Decrease the change in momentum
(e) None of these
8. What is the power of a lens of focal
length 20 cm ?
(a)
1
20
D
(b) 20 D
(c) 4 D (d) 5 D
(e) 2 D
9. Select the odd one
(a) Solar cell
(b) Hydroelectric power station
(c) Tidal energy
(d) Wind energy
(e) Thermal power station
10. Which of the following phenomena of
light is used in optical fibre
(a) Refraction
(b) Dispersion
(c) Scattering
(d) Total internal reflection
(e) All the above
7Hcp {In¡äv t_mÄ ]nSn¡pt¼mÄ
ssI t_mfn-t\m-sSm¸w ]pd-tIm«v hen-
¨mWv ]nSn-¡p-¶Xv CXv
(a) B¡ hyXymkw Iq«p-¶-Xn\v
(b) B¡ hyXymk¯nsâ \nc¡v Iq«p-
¶-Xn\v
(c) B¡ hyXymk¯nsâ \nc¡v
Ipdbv¡p¶-Xn\v
(d) B¡ hyXymkw Ipdbv¡p¶-Xn\v
(e) ta ]d-ª-h-sbm-¶p-aÃ
8. t^m¡kv Zqcw 20cm Bb Hcp
se³knsâ ]hÀ F{X?
(a)
1
20
D
(b) 20 D
(c) 4 D (d) 5 D
(e) 2 D
9. Hä-bms\ Xnc-sªSp-¡pI
(a) tkmfmÀskÂ
(b) Pe-ssh-ZypX \nebw
(c) ssSUÂ F\ÀPn
(d) Imän \n¶pÅ DuÀÖw
(e) sXÀa ]hÀ tÌj³
10. H]vän-¡Â ss^_-dp-I-fn D]-tbm-Kn-
¡p¶ {]Im-i-¯nsâ {]Xn-`m-k-amWv
(a) A]-hÀ¯\w
(b) {]IoÀ®\w
(c) hnk-cWw
(d) ]qÀ®m-´c {]Xn-]-X\w
(e) taÂ]-d-ª-h-sbÃmw
Space for rough work
VERSION : A Subject Code : Others
6
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
11. Select the properties of ‘s’ block
elements from the statements given
below
I Metallic oxides show acidic
character
II Produces ionic compounds
III Form coloured compounds
IV Metallic hydroxides show basic
character
(a) I and II (b) II and III
(c) I and III (d) II and IV
(e) I and IV
12. Equation showing the reaction of Zn with
HCl is given.
2 2
2
Zn HCl ZnCl H

What will be the volume of H2 formed at
STP when 6.5 g Zn reacts with HCl
At mass Zn = 65 , Cl = 35.5 , H = 1
(a) 2.24 L (b) 22.4 L
(c) 44.8L (d) 89.6L
(e) 4.48L
13. Which is the method used to concentrate
copper pyrites
(a) Leaching
(b) Magnetic separation
(c) Hydraulic washing
(d) Froth floatation
(e) distillation
11. Xmsg X¶n-cn-¡p-¶-h-bn s t»m¡v
aqe-I-§sf kw_-Ôn-¡p¶ {]kvXm-h-
\-IÄ GsXÃmw
(I) teml HmIvssk-Up-IÄ Akn-UnIv
kz`m-h-ap-f-f-hbmWv
(II) Atbm-WnI kwbp-à-§Ä Dm-
¡p-¶p.
(III ) \nd-apÅ kwbp-à-§Ä Dm-
¡p¶p
(IV) teml-ssl-t{Um-Ivssk-Up-IÄ
t_knIv kz`m-h-ap-Å-h-bmWv
(a) I and II (b) II and III
(c) I and III (d) II and IV
(e) I and IV
12. kn¦v sslt{Um-t¢m-dnIv Bkn-Up-ambn
{]hÀ¯n-¡p-¶-Xnsâ cmk-k-a-hmIyw
\ÂIn-bn-cn-¡p-¶p.
2 2
2
Zn HCl ZnCl H

( At mass Zn = 65 , Cl = 35.5 , H = 1).
6.5 g kn¦pambn {]hÀ¯n-¡p-t¼mÄ
HClDm-¡p¶ ssl{U-Psâ hym]vXw
STP bn F{X-bmWv .
(a) 2.24 L (b) 22.4 L
(c) 44.8L (d) 89.6L
(e) 4.48L
13. tIm¸À ss]ssd-äns\ km{µWw
sN¿m-\p-]-tbm-Kn-¡p¶ amÀKw
(a) eo¨nwKv
(b) Im´nI hn`-P\w
(c) Pe-{]-hm-l-¯n Igp-IÂ
(d) ¹h\ {]{Inb
(e) tkzZ\w
Space for rough work
VERSION : A Subject Code : Others
7
Science Institute Manjeri : 0483 2768340 ,9072100500,9061506663
14. Name the substances used to prepare
methyl propanoyate
(a) Ethanol and Methanoic acid
(b) Methanol and propanoic acid
(c) Propanol and Methanoic acid
(d) Methanol and ethanoic acid
(e) None of these
15. Write IUPAC name of the following
C
CH
3
CH
3
CH
3
CH
3
CH
2
CH
2
(a) 2,3 - Dimethyl butane
(b) 2,2 - Dimethyl pentane
(c) 2,2 - Dimethyl butane
(d) 2,3 - Dimethyl pentane
(e) None of these
16. Outer shell elelctronic configuration of
element ‘X’ is 3s2 3p1. Write the chemical
formula of its oxide
(a) X3O2(b) X2O3
(c) O2X3(d) X2O
(e) XO
14. aossX s{]m¸-t\m-tbäv \nÀ½n-¡m-\m-
h-iy-amb cmk-h-kvXp-¡Ä
(a) FX-t\mfpw saX-t\m-bnIv
BknUpw
(b) saX-t\mfpw s{]m¸-t\m-bnIv
BknUpw
(c) s{]m¸-t\mfpw saX-t\m-bnIv
BknUpw
(d) saX-t\mfpw FX-t\m-bnIv
BknUpw
(e) Chsbm-¶p-aÃ
15. IUPAC \ma-sa-gp-XpI
C
CH
3
CH
3
CH
3
CH
3
CH
2
CH
2
(a) 2, 3 ssUao-ssYÂ _yqs«bv³
(b) 2,2 ssUao-ssYÂ s]sâbv³
(c) 2, 2 ssUao-ssYÂ _yqs«bv³
(d) 2, 3 ssUao-ssYÂ s]sâbv³
(e) Chsbm-¶p-aÃ
16. ‘X’F¶ aqe-I-¯nsâ _mly-Xa Ce-
Ivt{Sm¬ hn\ymkw 3s2 3p1 BWv. Cu
aqe-I-¯nsâ HmIvssk-Unsâ cmk-
kq{Xw
(a) X3O2(b) X2O3
(c) O2X3(d) X2O
(e) XO
Space for rough work
VERSION : A Subject Code : Others
8
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
17. The main component of LPG is butane.
Combustion of butane is given below
4 10 2 2 2
2 13 8 10
C H O CO H O
At mass C = 12 , H = 1, O = 16
How many grams of CO2 form when
580 g of butane burns in oxygen ?
(a) 352 g (b) 1670 g
(c) 325 g (d) 1760 g
(e) 1160 g
18. Aqueous solution of CuSO4 is electro-
lysed by using platinum electrodes ,which
is the product obtained at the anode ?
(a) Copper (b) Hydrogen
(c) Chlorine (d) Oxygen
(e) Sulphur
19. Which colour is given by cobalt oxides to
glass
(a) Red (b) Blue
(c) Green (d) Yellow
(e) Black
20. Permanent hardness is due to the
presence of
(a) Calcium bicarbonate
(b) Sodium Carbonate
(c) Calcium chloride
(d) Sodium bicarbonate
(e) None of these
17. LPG bnse {][m\ LSIw _yqs«bv³
BWv. CXnsâ Pze\ka-hm-Iyw Xmsg
sImSp-¡p-¶p.
4 10 2 2 2
2 13 8 10
C H O CO H O
( At mass C = 12 , H = 1, O = 16 ).
580g _yqs«bv³ I¯p-t¼mÄ F{X
{Kmw CO2 e`n¡pw.?
(a) 352 g (b) 1670 g
(c) 325 g (d) 1760 g
(e) 1160 g
18. ¹män\w CeIvt{Sm-Up-IÄ D]-tbm-Kn¨v
CuSO4 emb-\n-sb sshZypX hntÇ-
jWw sN¿p-t¼mÄ Bt\m-UnÂ
kzX{´-am-Ip¶ DÂ]¶w
(a) tIm¸À (b) ssl{U-P³
(c) t¢mdn³ (d) HmIvkn-P³
(e) kÄ^À
19. sIm_mÄ«v HmIvsskUp-IÄ ¥mkn\v
\ÂIp¶ \ndw GXv ?
(a) Nph¸v (b) \oe
(c) ]¨ (d) aª
(e) Idp¸v
20. Ønc ImTn-\y-¯n\v Imc-W-am-bXv GXv
(a) ImÂkyw ss_ImÀ_-tWäv
(b) tkmUnbw ImÀ_-tWäv
(c) ImÂkyw t¢mssdUv
(d) tkmUnbw ss_ImÀ_-tWäv
(e) Ch-sbm-¶p-aÃ
Space for rough work
VERSION : A Subject Code : Others
9
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
21. If
x
,
3
x
,
3
x
are three consecutive
terms of an arithmetic sequence then
x
= ------
(a) 3 (b)
3
(c) 2 (d)
2
(e) 6
22. In the figure, ‘O’ is the centre of
the unit circle and
0
90
OAB
then AB = ..............
OA
B
x
(a) sin
x
(b) cos
x
(c) tan
x
(d) 1
(e) cosec
x
23. If the point A( 2, 3) , B ( 5, k) and
C ( 6, 7) are collinear [ point on a
line ] then k = .................
(a) 4 (b) 6
(c)
11
4
(d)
3
2
(e) 2
21.
x
,
3
x
,
3
x
F¶nh Hcp kam-´-c-t{i-
Wn-bnse XpSÀ¨-bmb aq¶v ]Z-§Ä
BbmÂ
x
= ------
(a) 3 (b)
3
(c) 2 (d)
2
(e) 6
22. Nn{X-¯n Bcw 1 bqWnäv Bb
hr¯-¯nsâ tI{µ-amWv ‘O’.
0
90
OAB Bbm AB = ..............
OA
B
x
(a) sin
x
(b) cos
x
(c) tan
x
(d) 1
(e) cosec
x
23. A( 2, 3) , B ( 5, k) , C ( 6, 7) F¶nh
Hcp hc-bnse _nµp-¡Ä BWv F¦nÂ
k = .................
(a) 4 (b) 6 (c)
11
4
(d)
3
2
(e) 2
Space for rough work
VERSION : A Subject Code : Others
10
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
24. Sum of first 7 terms of an arithmetic
sequence is 49 and sum of its first
17 terms is 289. Then its common
difference is :...........
(a) 7 (b) 17
(c)
5
3
(d)
3
5
(e) 2
25. In the figure, PA, PB are tangents
0
65
PBA ,
0
45
CAB then
ACB
+
BDC
= .................
A
B
P
45
65
D
C
(a) 1800(b) 900
(c) 1100(d) 2000
(e) 1300
26. One solution (root ) of the equation
2
0
x px k
is
5
then 5p + k =
................
(a) 5 (b) 25
(c) 20 (d) 15
(e) 0
24. Hcp kam-´-c-t{i-Wn-bpsS BZys¯ 7
]Z-§-fpsS XpI 49 Dw BZys¯ 17 ]Z-
§-fpsS XpI 289 Dw BWv. Cu
t{iWn--bpsS s]mXp hyXymkw F{X?
(a) 7 (b) 17
(c)
5
3
(d)
3
5
(e) 2
25. Nn{X-¯n PA, PB F¶nh sXmSp-h-c
bpw
0
65
PBA bpw
0
45
CAB bpw
BIp¶p. F¦nÂ
ACB BDC
....
A
B
P
45
65
D
C
(a) 1800(b) 900
(c) 1100(d) 2000
(e) 1300
26 .2
0
x px k
F¶ ka-hm-Iy-¯nsâ
Hcp ]cn-lmcw
5
F¦n 5p + k
=................
(a) 5 (b) 25
(c) 20 (d) 15
(e) 0
Space for rough work
VERSION : A Subject Code : Others
11
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
27. 121, 123, 125, ..... is arithmetic
sequence. Mean of all terms of this
sequence is 141. What is the number
of terms of this sequence ?
(a) 141 (b) 4
(c) 11 (d) 21
(e) 23
28. In the figure, AC is a tangent with
midpoint M, If AB = AC then
AB
AP
=
A
B
C
P
M
(a) 1 (b) 2
(c) 3 (d) 4
(e) 5
29. ( 1 + 3 + 5 + .........+ 99)
(1 + 2 + 3
+ ............+ 50 ) = ..................
(a) 2500 (b) 1275
(c) 1250 (d)
50
(e) 1225
27. 121, 123, 125, ...........F¶ kam-´c
t{iWn-bpsS FÃm ]Z-§-fp-tSbpw IqSn-
bpÅ am[yw 141 BWv. Cu t{iWn-
bn F{X ]Z-§Ä Dv ?
(a) 141 (b) 4
(c) 11 (d) 21
(e) 23
28. Nn{X-¯n AC sXmSp-h-cbpw M F¶
_nµp AC bpsS a[y _nµphpw BWv
AB = AC F¦nÂ
AB
AP
=..................
A
B
C
P
M
(a) 1 (b) 2
(c) 3 (d) 4
(e) 5
29. ( 1 + 3 + 5 + ............+ 99)
(1 + 2 + 3
+ ............+ 50 ) = ..................
(a) 2500 (b) 1275
(c) 1250 (d)
50
(e) 1225
Space for rough work
VERSION : A Subject Code : Others
12
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
30 . Perimeter of a triangle is 19 cm and
its inradius 2cm , what is the area of
this triangle ?
(a) 19 (b) 38
(c) 18.5 (d) 76
(e) 91
31.
1
sin
3
A
then
cos
A
= ..............
(a)
2
3
(b)
1
3
(c)
3
(d)
1
3
(e)
8
3
32. 642
( ) 10
P x x x x
, what is the
remainder on dividing
( )
P x
by 2
1
x
?
(a)
10 (b) 0
(c)
4 (d)
5
(e)
7
33. How many 3 digit numbers between
100 and 400 which are divisible by
2 and 3 ?
(a) 49 (b) 50
(c) 51 (d) 250
(e) 150
30. Hcp {XntIm-W-¯nsâ Npä-fhv 19 cm Dw
A´À hr¯ Bcw 2cm Dw BWv.
{XntIm-W-¯nsâ ]c-¸-fhv :.............cm2
(a) 19 (b) 38
(c) 18.5 (d) 76
(e) 91
31.
1
sin
3
A
F¦nÂ
cos
A
= ..............
(a)
2
3
(b)
1
3
(c)
3
(d)
1
3
(e)
8
3
32. 642
( ) 10
P x x x x
F¶ _lp-]-
Zs¯ 2
1
x
sImv lcn-¨m-epÅ
injvSw F´v ?
(a)
10 (b) 0
(c)
4 (d)
5
(e)
7
33. 100 \pw 400 \pw CSbv¡v 2 sImpw
3 sImpw lcn-¡m-hp¶ F{X 3 A¡
kwJy-IÄ Dv. ?
(a) 49 (b) 50
(c) 51 (d) 250
(e) 150
Space for rough work
VERSION : A Subject Code : Others
13
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
34. Perimeter of quadrilateral ABCD is
40cm and AD = 8cm then BC =
............... cm
A
B C
D
(a) 8 (b) 10
(c) 12 (d) 20
(e) 5
35. 2211 + 2212 + 2213 + ........... +
2218 + 2219 =....................
(a) 19939 (b) 19937
(c) 19938 (d) 19999
(e) 19935
36. 3 2
( )
P x ax bx cx d
and
( ) ( ) 0
b d a c
then which of
them is correct ?
(a)
( 1) 0
P
(b)
(1) 0
P
(c)
(0) 1
P
(d)
(1) ( 1)
P P
(e)
(1) (0)
P P
34. NXpÀ`pPw ABCD bpsS Npä-fhv 40cm,
AD = 8cm F¦n BC = ............... cm
A
B C
D
(a) 8 (b) 10
(c) 12 (d) 20
(e) 5
35. 2211 + 2212 + 2213 + ........... + 2218 +
2219 =....................
(a) 19939 (b) 19937
(c) 19938 (d) 19999
(e) 19935
36. 3 2
( )
P x ax bx cx d
bpw
( ) ( ) 0
b d a c
bpw BIp-¶p.
NphsS X¶n-«p-Å-h-bn icn GXv ?
(a)
( 1) 0
P
(b)
(1) 0
P
(c)
(0) 1
P
(d)
(1) ( 1)
P P
(e)
(1) (0)
P P
Space for rough work
VERSION : A Subject Code : Others
14
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
37. How many 3 digit even number can
be written using the digits 0, 3, 6
without repetition ?
(a) 1 (b) 2
(c) 3 (d) 4
(e) 5
38. The height of a cone is 30cm . A
small cone is cutt off at the top by
a palne parallel to the base If its
volume is
1
27
th of the volume of
the cone, then height of smaller cone
is ................ cm
(a) 13.5 (b) 11
(c) 10 (d) 12
(e) 8
39.
1 24
tan 7
A
, then sin A =..............
(a)
7
24
(b)
25
24
(c)
24
25
(d)
7
25
(e)
25
7
37. 0, 3, 6 F¶o A¡-§Ä D]-tbm-Kn¨v
A¡-§Ä BhÀ¯n-¡msX F{X
aq¶¡ Cc-«-kw-Jy-IÄ FgpXmw ?
(a) 1 (b) 2
(c) 3 (d) 4
(e) 5
38. Hcp hr¯ kvXq]n-I-bpsS Dbcw
30cm, CXnsâ A{K-¯n Hcp
sNdnb hr¯-kvXq-]nI apdn¨vamäp-¶p.
apdn-¨v am-änb hr¯ kvXq]n-I-bpsS
hym]vXw henb hym]vX-¯nsâ
1
27
`mK-am-Wv. F¦n sNdnb hr¯-kvXq-
]n-I-bpsS Dbcw ................ cm
(a) 13.5 (b) 11
(c) 10 (d) 12
(e) 8
39.
1 24
tan 7
A
, F¦n sin A =..............
(a)
7
24
(b)
25
24
(c)
24
25
(d)
7
25
(e)
25
7
Space for rough work
VERSION : A Subject Code : Others
15
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40. From the figure, which of the
following is true
a b
BC
D
c
(a) a + b + c = 1800
(b) a + b = 1800
(c) a = b + c
(d) c = a + b
(e) b = a + c
41. In the figure,
3
AC CD cm
,
1
BC cm
then
BAD
..............
A
B C D1
3
3
(a) 300(b) 450
(c) 750(d) 900
(e) 1050
40. Nn{X-¯ns\ ASn-Øm-\-am¡n NphsS
X¶n-«p-Å-h-bn icn GXv ?
a b
BC
D
c
(a) a + b + c = 1800
(b) a + b = 1800
(c) a = b + c
(d) c = a + b
(e) b = a + c
41. Nn{X-¯nÂ
3
AC CD cm
,
1
BC cm
F-¦nÂ
BAD
..............
A
B C D1
3
3
(a) 300(b) 450
(c) 750(d) 900
(e) 1050
Space for rough work
VERSION : A Subject Code : Others
16
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
42. The maximum sum of the arithmetic
sequence 25, 24, 23, ............, 0
is ................
(a) 325 (b) 600
(c) 0 (d)
300
(e)
600
43. What is the maximum value of k , if
the equation 2
8 0
x x k
has
solution (root)
(a) 8 (b) 0
(c)
8
(d) 4
(e) 16
44. In the figure ,
ABC
is equilateral
and ‘O’ is the centre of the large
circle and radius of the small circle
is 2cm then , AB = .
O
A
C
B
(a)
12 3
(b)
12 2
(c)
6 3
(d)
6 2
(e) 12
42. 25, 24, 23......... , 0 F¶ kam-´-c-t{i--
Wn-bpsS ]c-am-h[n XpI =..............
(a) 325 (b) 600
(c) 0 (d)
300
(e)
600
43. 2
8 0
x x k
F¶ ka-hm-Iy-¯n\v
]cn-lm-c-ap-m-¡m³ k bv¡v hcm-hp¶
Gähpw henb kwJy=..........
(a) 8 (b) 0
(c)
8
(d) 4
(e) 16
44. Nn{X-¯nÂ
ABC
ka-`p-P-{Xn-tIm-
Whpw ‘O’ henb hr¯-¯nsâ
tI{µhpw sNdnbhr¯ Bcw 2 cm Dw
BIp-¶p. AB = ........................ cm
O
A
C
B
(a)
12 3
(b)
12 2
(c)
6 3
(d)
6 2
(e) 12
Space for rough work
VERSION : A Subject Code : Others
17
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
45. In
ABC
, AB = 5cm , BC = 6cm ,
AC = 8cm and its circum radius is
3cm .Area of
ABC
= ........... cm2
(a) 16 (b) 30
(c) 15 (d) 24
(e) 20
46.
cos1 cos 2 cos3 ......... cos90
=....
(a) 1 (b) 0
(c)
1
(d) 90
(e) 4095
47. In the figure
CD AB
, AD = 16cm ,
BD = 9cm and x + y = 900 then CD
= ...............
A BD
C
16 9
x y
(a) 16 (b) 9
(c) 7 (d) 12
(e) 8
45.
ABC
bn AB = 5cm , BC = 6cm ,
AC = 8cm , ]cn-hr-¯ Bcw 3cm .
ABC
bpsS ]c-¸-fhv ........... cm2
(a) 16 (b) 30
(c) 15 (d) 24
(e) 20
46.
cos1 cos 2 cos3 ......... cos90
=....
(a) 1 (b) 0
(c)
1
(d) 90
(e) 4095
47. Nn{X-¯nÂ
CD AB
, AD = 16 cm ,
BD = 9 cm , x + y = 900 F¦n CD =
...............
A BD
C
16 9
x y
(a) 16 (b) 9
(c) 7 (d) 12
(e) 8
Space for rough work
VERSION : A Subject Code : Others
18
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
48. In the figure ‘O’ is the centre
0 0
20 , 45 ,
B AOD OC BC
then
...............
CDO
A
C
D
O
45
20
B
(a) 200(b) 450
(c) 250(d) 850
(e) 650
49. What is the mean of the numbers
1, 3, 5 ...........,
2 1
n
?
(a) n (b)
( 1)
n n
(c)
2
2
n
(d)
( 1)
2
n n
(e)
2
n
50. If Sin A = Cos A then
...........
A
(a) 300(b) 450
(c) 600(d) 900
(e) 1800
48. Nn{X-¯n ‘O’ hr¯ tI{µhpw
0 0
20 , 45 ,
B AOD OC BC
bpw
BWv F¦nÂ
...............
CDO
A
C
D
O
45
20
B
(a) 200(b) 450
(c) 250(d) 850
(e) 650
49. 1, 3, 5 ...........
2 1
n
F¶o kwJy-I-
fpsS am[yw ?
(a) n (b)
( 1)
n n
(c)
2
2
n
(d)
( 1)
2
n n
(e)
2
n
50. Sin A = Cos A F¦nÂ
...........
A
(a) 300(b) 450
(c) 600(d) 900
(e) 1800
Space for rough work
VERSION : A Subject Code : Others
19
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
51. Which of the following cannot be
the probability of an event ?
(a) 0 (b) 1
(c)
1
2
(d)
1
3
(e) 0.1
52. In the figure , AC is a tangent
AE ED
,
7
EF cm
,
18
CD cm
BE CD
, then BC = ........... cm
A
C
D
B
F
E
(a) 12 (b)
12 2
(c)
12 3
(d) 24
(e) 11
53. The positive real root ( positive
solution) of the equation 2
64 1 0
x
is ..................
(a) 8 (b)
1
16
(c)
1
8
(d)
1
4
(e) 1
51. NphsS X¶n-«p-Å-h-bn km[y-X-bpsS
Afhv Bhm-¯Xv GXv ?
(a) 0 (b) 1
(c)
1
2
(d)
1
3
(e) 0.1
52. Nn{X-¯n AC sXmSp-h-cbpw AE = ED
EF = 7cm , CD = 18 cm
BE CD
bpw
BWv. F¦n BC = ........... cm
A
C
D
B
F
E
(a) 12 (b)
12 2
(c)
12 3
(d) 24
(e) 11
53. 2
64 1 0
x
F¶ ka-hm-Iy-¯nsâ
+ ve ]cn-lmcw ..................
(a) 8 (b)
1
16
(c)
1
8
(d)
1
4
(e) 1
Space for rough work
VERSION : A Subject Code : Others
20
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
54. The sum of first ‘n’ natural numbers
is 210 then n = ...................
(a) 20 (b) 10
(c) 11 (d) 21
(e) 41
55. In the figure , O is the centre
0
40 ,
BAC
..................
BDO
O
B
C
D
A
(a) 400(b) 500
(c) 700(d) 350
(e) 550
56. nth term of arithmetic sequences
3, 10, 17............ and 63, 65, 67
............ are equal then n = ...........
(a) 10 (b) 13
(c) 12 (d) 14
(e)11
54. BZys¯ F{X F®Â kwJy-I-fpsS
XpI-bmWv 210
(a) 20 (b) 10
(c) 11 (d) 21
(e) 41
55. Nn{X-¯n ‘O’ hr¯-tI-{µhpw
0
40
BAC bpw BWv
........
BDO
O
B
C
D
A
(a) 400(b) 500
(c) 700(d) 350
(e) 550
56. 3,10,17..........., 63,65,67, ............
F¶o kam-´c t{iWn-I-fpsS nmw
]Z-§Ä Xpey-amWv n =............
(a) 10 (b) 13
(c) 12 (d) 14
(e) 11
Space for rough work
VERSION : A Subject Code : Others
21
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
57.
sin 45 cos 45 ..........
(a) 1 (b) 0
(c)
1
2
(d)
1
2
(e)
1
3
58. In the figure,
0
90
B C , BE =
CD and CD =10m.
0
30
DAC ,
0
60
EAB then BC = .............. m
A C
D
10
E
B
(a)
10
3
(b)
20
3
(c)
30
3
(d)
10 3
(e)
5 3
57.
sin 45 cos 45 ..........
(a) 1 (b) 0
(c)
1
2
(d)
1
2
(e)
1
3
58. Nn{X-¯nÂ
0
90
B C , BE = CD
CD = 10m.
0
30
DAC ,
0
60
EAB
F¦n BC = .............. m
A C
D
10
E
B
(a)
10
3
(b)
20
3
(c)
30
3
(d)
10 3
(e)
5 3
Space for rough work
VERSION : A Subject Code : Others
22
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
59. y = x , x = 8, y = 0 F¶o hc-IÄ
tbmPn-¸n-¨p-m-Ip¶ {XntIm-W-¯nsâ
]c-¸-f-hns\ kqNn-¸n-¡p¶ kwJy ......
(a) 64 (b) 32
(c)
8 2
(d) 30
(e) 24
60. 2
4 2 9 0
x mx
F¶ ka-hm-Iy-
¯nsâ ]cn-lm-c-§Ä Xpey-amWv
F¦n m = ................
(a) 3 (b) 2
(c) 16 (d) 6
(e) 81
61. Nn{X-¯nÂ
0
22
CBD ,
0
78
BCD
F¦nÂ
BAC
............
A
B C
D
22 78
(a) 900(b) 800
(c) 780(d) 220
(e) 1000
Space for rough work
59. What is the area of triangle formed
by the lines y = x , x = 8, y = 0 in
square unit :................
(a) 64 (b) 32
(c)
8 2
(d) 30
(e) 24
60. 2
4 2 9 0
x mx
has equal solutions
(roots), then m =..............
(a) 3 (b) 2
(c) 16 (d) 6
(e) 81
61. In the figure
0
22
CBD ,
0
78
BCD then
BAC
............
A
B C
D
22 78
(a) 900(b) 800
(c) 780(d) 220
(e) 1000
VERSION : A Subject Code : Others
23
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
62. 2
( ) 2
P x x ax b

F¶ _lp-]-Z-
¯nsâ Hcp LS-I-amWv
2
x
IqSmsX a + b = 4 Dw F¦n a = ......
(a) 1 (b) 3
(c)
1
(d)
3
(e) 4
63.
(1, 9), (2,5), (6, 7)
P Q R
F¶nh
PQR
sâ ioÀj-§Ä BWv. CXnsâ a[ya
tI{µ¯nsâ kqNI kwJy-IÄ .........
(a)
10 17
,
3 3
(b) (1, 3)
(c) ( 3, 1) (d) (
3
, 1)
(e)
3, 1
64. Hcp k©n-bn 5 Nph¶ ]´p-Ifpw
Ipd¨v \oe ]´p-Ifpw Dv k©n-
bn \n¶pw Hcp ]s´-Sp-¯m AXv
\oe-bm-hm-\pÅ km[y-X- Nph¶X-mhm-
\pÅ km[y-XbpsS 3 aS-§mWv.
k©n-bn-epÅ \oe ]´p-I-fpsS F®w
(a) 10 (b) 12
(c) 15 (d) 8
(e) 18
65. BZys¯ 12 A`m-Py-kw-Jy-I-fpsS
am[yw
(a) 13 (b) 14
(c) 15 (d) 17
(e) 12
Space for rough work
62. If
2
x
is a factor of the polynomial
2
( ) 2
P x x ax b

and a + b = 4 then
a = ..........
(a) 1 (b) 3
(c)
1
(d)
3
(e) 4
63. If
(1, 9)
P
, Q ( 2, 5 ), R ( 6, 7 ) are
three vertices of
PQR
. Co-ordi
nates of its centroid is
(a)
10 17
,
3 3
(b) ( 1, 3)
(c) ( 3, 1) (d) (
3
, 1)
(e) (
3
,
1
)
64. A bag contains 5 red and some blue
balls. If the probability of drawing a
blue ball is three times the probabil
ity of getting a red ball . Number of
blue ball in the bag is :.............
(a) 10 (b) 12
(c) 15 (d) 8
(e) 18
65. Median of first 12 prime numbers is
: .....................
(a) 13 (b) 14
(c) 15 (d) 17
(e) 12
VERSION : A Subject Code : Others
24
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
66. The ratio of the volume of a cube
and that a sphere which exactly fit
inside the cube is ........
(a) 6 :
(b)
: 6
(c)
: 12 (d) 12 :
(e) 1 :
67. The sum of last 2 terms of an arith
metic sequence is 60. If the first
term 11 and common difference
is 2 then number of terms : .............
(a) 22 (b) 20
(c) 11 (d) 19
(e) 10
68. In the figure ,‘O’ is the centre
0
80
POS
...........
SQR
RP
O
Q
S80
(a) 300(b) 1400
(c) 500(d) 900
(e) 400
66. Hcp Iyq_n-sâbpw ( ka-N-Xp-c-¡-«)
AXn \n¶v sN¯n-sb-Sp-¡m-hp¶
Gähpw henb tKmf-¯n-sâbpw
hym]vX-§-fpsS Awi- _Ôw........
(a) 6 :
(b)
: 6
(c)
: 12 (d) 12 :
(e) 1 :
67. Hcp kam-´-c-t{i-Wn-bpsS Ah-km-\
s¯ 2 ]Z-§-fpsS XpI 60 Dw CXnsâ
BZy ]Zw 11 Dw s]mXp hyXymkw 2Dw
BWv. Cu t{iWn-bn F{X ]Z-§Ä
Dv.
(a) 22 (b) 20
(c) 11 (d) 19
(e) 10
68. Nn{X-¯n‘O’ hr¯ tI{µ-amWv
0
80
POS ,
...........
SQR
RP
O
Q
S80
(a) 300(b) 1400
(c) 500(d) 900
(e) 400
VERSION : A Subject Code : Others
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Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
*********************
69. If the mean of 9 numbers is 100
and that of another 6 numbers is 80 .
What is the combined mean of these
15 numbers ?
(a) 100 (b) 80
(c) 90 (d) 70
(e) 92
70. The mid point of the line joining the
points A (3, 4 ) , B (K, 6) is P ( x ,y )
and x + y
10 = 0 , then K = ..........
(a)
7 (b) 7
(c)
10
3
(d) 13
(e)
1
7
69. 9 kwJy-I-fpsS am[yw 100 BWv.
asämcp 6 kwJy-I-fpsS am[yw 80
BWv. Cu 15 kwJy-I-fpsS am[yw
F´v ?
(a) 100 (b) 80
(c) 90 (d) 70
(e) 92
70. A (3, 4 ), B ( K, 6) F¶nh tbmPn-¸n-
¡p¶ hc-bpsS a[y-_n-µp-hmWv
P ( x ,y ) . IqSmsX x + y
10 = 0 ,
F¦n K = ..........
(a)
7 (b) 7
(c)
10
3
(d) 13
(e)
1
7
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
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Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work