SCIENCE INSTITUTE
SCHOLARSHIP EXAMINATION (SSE - 2024)
FOR 10
th
STANDARD STUDENTS JANUARY - 2024
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 10.30 pm to start answering.
(10.30
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 Dm-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 sImm-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.hrs 30 mts
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 1 / 0 1 / 2 0 2 4
4. SUBJECT CODE: Darken the bubbles corresponding to the subject code Others
Others
A
VERSION CODE
VERSION : A Subject Code : Others
3
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
1.
26V
6
6
6
3
5
What is the current through the circuit ?
[a] 1A [b] 1.2A
[c] 2.6A [d] 0.26 A
[e] 0.12A
2. What is the power of a lens of focal length
+ 50cm ?
[a]
1
50
D
[b]
1
50
D
[c]
2
D
[d] +2D
[e] 50 D
3. The work done by a device in one minute is
4800 J. What is the power of the device ?
[a] 4800 W [b] 100 W
[c] 120 W [d] 80 W
[e] 2400 W
4. A 2cm long object is placed perpendicular to
the principal axis of a concave mirror. The
distance of the object from the mirror is 30cm
and its image is formed 60 cm from the mir-
ror on the same side. What is the height of
the image ?
[a] 40 cm [b]
4cm
[c]
40 cm [d] 4 cm
[e]
1 cm
1.
26V
6
6
6
3
5
kÀIyq«nse Idâ v F{X ?
[a] 1A [b] 1.2A
[c] 2.6A [d] 0.26 A
[e] 0.12A
2. + 50cm t^m¡kv ZqcapÅ Hcp
se³knsâ ]hÀ F{X?
[a]
1
50
D
[b]
1
50
D
[c]
2
D
[d] +2D
[e] 50 D
3. Hcp D]IcWw 1 an\n«n sN¿p¶ {]hr¯n
4800J. F¦n AXnsâ ]hÀ F{X?
[a] 4800 W [b] 100 W
[c] 120 W [d] 80 W
[e] 2400 W
4. Hcp tIm¬tIhv ZÀ¸W¯nsâ apJy
A£¯n\v ew_ambn 2cm DbcapÅ Hcp
hkvXp ZÀ¸W¯n \n¶pw 30cm AIse
sh¨t¸mÄ AtX hi¯v ZÀ¸W¯nÂ
\n¶pw 60cm AIsebmbn Hcp{]Xn_nw_w
e`n¨p. F¦n Cu {]Xn_nw_¯nsâ
Dbcsa{X?
[a] 40 cm [b]
4cm
[c]
40 cm [d] 4 cm
[e]
1 cm
VERSION : A Subject Code : Others
4
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
5. Two bodies of masses 1 kg and 4 kg respec-
tively posses equal momentum. Then what is
the ratio between the kinetic energy of the first
body to the second body
[a] 1 : 4 [b] 2 : 1
[c] 1 : 2 [d] 4 : 1
[e] 1 : 16
6. Which of the following is correct ?
[a] Ampere = Coulomb
Second
[b] Volt = Watt
Ampere
[c] Coulomb = Joule / Volt
[d] Volt = Ampere / Ohm
[e] Joule = Watt / Second
7. A bulb is marked 40 W , 230V in it. If the
volatge reduces to 115 V What will be the
new power ?
[a] 20 W [b] 40 W
[c] 10 W [d] 80 W
[e] 160W
8. An object of mass 100 kg is moving with a
speed of 36 km/h. Calculate the workdone to
bring it to rest .
[a] 5000 J [b] 3600 J
[c] 1000 J [d] 2000 J
[e] 100 J
9. What is the heat energy produced when
1A currect flows through a
1
resistor for
1 hour ?
[a] 1 J [b] 3600 J
[c] 600 J [d] 60 J
[e] 360 J
5. Htc B¡apÅ cv hkvXp¡fpsS amkp
IÄ bYm{Iaw 1 kg , 4 kg F¶n§s\
BsW¦n AhbpsS KXntImÀPPw
X½nepÅ A\p]mXw (BZy hkvXp
/
cmas¯ hkvXp ) ........... Bbncn¡pw.?
[a] 1 : 4 [b] 2 : 1
[c] 1 : 2 [d] 4 : 1
[e] 1 : 16
6. Xmsg X¶ncn¡p¶hbn icnbmbXv GXv
[a] B¼nbÀ = Iqtfmw
sk¡â vv
[b] thmÄ«v = hm«v
B¼nbÀ
[c] Iqtfmw = PqÄ /thmÄ«v
[d] thmÄ«v = B¼nbÀ / Hmw
[e] PqÄ = hm«v / sk¡â v
7. Hcp _Ä_n 40 W , 230V F¶v
tcJs¸bp¯nbncn¡p¶p. thmÄt«Pv
115 V Bbm _Ä_nsâ ]hÀ F{X
Bbncn¡pw?
[a] 20 W [b] 40 W
[c] 10 W [d] 80 W
[e] 160 W
8. 100 kg amkpÅ Hcp hkvXp 36 km/h {]thK
t¯msS k©cn¨p sImncn¡p¶p. Cu
hkvXphns\ \nÝeam¡m³ sNt¿p¶
{]hr¯n F{Xbmbncn¡pw.?
[a] 5000 J [b] 3600 J
[c] 1000 J [d] 2000 J
[e] 100 J
9.
1
{]Xntcm[apÅ Hcp NmeI¯neqsS
1A Idâ v 1 aWn¡qÀ {]hln¡pt¼mÄ
DÂ]mZn¸n¡s¸Sp¶ Xm]sa{X?
[a] 1 J [b] 3600 J
[c] 600 J [d] 60 J
[e] 360 J
VERSION : A Subject Code : Others
5
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
10. A conductor of resistance
10
, has a length
of 4m and area of cross section 4m
2
. What is
the resistivity of the material of the conduc-
tor?
[a]
4
m
[b] 40
m
[c] 10
m
[d] 1.6
m
[e] 0.4
m
11. Which is an example of a metal that can be
refined by liquation ?
[a] Zinc [b] Mercury
[c] Lead [d] Copper
[e] Cadmium
12. C
3
H
8
belongs to the homologous series of
[a] Alkynes
[b] Alkenes
[c] Alkanes
[d] CycloAlkanes
[e] CycloAlkenes
13. Which of the following gas has the same vol-
ume as of 0. 44g CO
2
at STP?
[a] 0.085g NH
3
[b] 0.02g H
2
[c] 320 mg SO
2
[d] 0.188g H
2
O
[e] 0.04g NO
2
14. During the electrolysis of aqueous solution of
pottassium chloride, the substance obtained
at anode is .............
[a] Potassium [b] Hydrogen
[c] Chlorine [d] Oxygen
[e] Hydronium ion
10.
10
{]Xntcm[apÅ Hcp NmeI¯n\v 4m
\ofhpw 4m2 tOZXe ]c¸fhpw Ds¦nÂ
NmeIw \nÀ½n¡m\p]tbmKn¨ ]ZmÀ°
¯nsâ dknÌnhnän F{X?
[a] 4
m
[b] 40
m
[c] 10
m
[d] 1.6
m
[e] 0.4
m
11. Dcp¡n thÀXn-cn-¡-en-eqsS ip²o-I-cn-¡m-
hp¶ Hcp teml-¯n\v DZm-l-cWw?
[a] kn¦v [b] saÀ¡pdn
[c] seUv [d] tIm¸À
[e] ImUvanbw
12 C3H8 GXv tlmtam-tem-Kkv t{iWn-bnÂ
s]-Sp-¶p.
?
[a] BÂss¡³
[b] B¡o³
[c] BÂs¡bv³
[d] sskt¢m BÂs¡bv³
[e] sskt¢m B¡o³
13. STP bnse 0. 44g CO2 sâ AtX hym]vXw
C\n ]d-bp¶ hmX-I-§-fn GXn\mWv ?
[a] 0.085g NH3[b] 0. 02g H2
[c] 320 mg SO2[d] 0.188g H2O
[e] 0.04g NO2
14. s]m«mkyw t¢mssd-Unsâ Peob emb-
\nsb sshZypX hntÇ-jWw sN¿p-t¼mÄ
Bt\m-Un e`n-¡p¶ ]ZmÀ°w ?
[a] s]m«mkyw [b] ssl{U-P³
[c] t¢mdn³ [d] HmIvkn-P³
[e] sslt{Um-Wnbw Atbm¬
VERSION : A Subject Code : Others
6
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
15. While going up in a group of periodic table
the metallic charector
[a] Increases
[b] Remains the same
[c] Decreases
[d] First increases then decreases
[e] First decreases then increases
16.
3 2 2 3
CH CH CH CH
heat
2 2
CH CH A
. The possible structural
formula of A is ?
[a]
323
CH CH CH
[b]
CH CH
[c]
3 2
CH CH CH
[d]
3 3
CH CH
[e]
4
CH
17. Which undergo reduction in the electrolysis
of aqueous solution of sodium chloride ?
[a] Water
[b] Hydronium ion
[c] Sodium ion
[d] Hydroxyl ion
[e] Chloride ion
18. The isomeric pair is
[a] Propane and butane
[b] butane and 2- methyl butane
[c] Ethane and ethene
[d] Pentane and 2 - methyl butane
[e] None of these
15. ]ncn-tbm-UnIv tS_n-fn {Kq¸n apI-fn-te¡v
t]mIp-t¼mÄ teml kz`mhw..........
[a] IqSp¶p
[b] amä-anÃ
[c] Ipd-bp¶p
[d] BZyw IqSp¶p ]ns¶ Ipd-bp¶p
[e] BZyw Ipd-bp¶p ]ns¶ IqSp¶p
16.
3 2 2 3
CH CH CH CH
heat
2 2
CH CH A
, A bpsS km[y-amb
LS-\mhmIyw GXv ?
[a]
323
CH CH CH
[b]
CH CH
[c]
3 2
CH CH CH
[d]
3 3
CH CH
[e]
4
CH
17. tkmUnbw t¢mssd-Unsâ Peob emb\n
sshZypXhntÇ-jWw \S-¯p-t¼mÄ \ntcm-
Ivko-I-cWw \S-¡p-¶Xv BÀ¡v
?
[a] Pew
[b] sslt{Um-Wnbw Atbm¬
[c] tkmUnbw Atbm¬
[d] sslt{Um-Ivkn Atbm¬
[e] t¢mssdUv Atbm¬
18. sFtkm-aÀ tPmUn-bmWv .......................
[a] s{]ms¸bv³, _yqt«bv³
[b] _yqt«bv³, 2þ aossYÂ _yqt«bv³
[c] CutYbv³ , CuYo³
[d] s]sâbv³, 2þ aossYÂ _yqs«bv³
[e] Ch-sbm-¶p-aÃ
VERSION : A Subject Code : Others
7
Science Institute Manjeri : 0483 2768340 ,9072100500,9061506663
Space for rough work
19.
2 2 3
2 2
Heat
SO O SO
The given system is
at equilibrium. Which of the following is not
favourable to speed up forward reaction ?
[a] Remove sulphur trioxide from the
system
[b] Remove sulphure dioxide from the
system
[c] Add sulphur dioxide in to the system
[d] Add oxygen in to the system
[e] None of the above
20. Which among the the following is an acidic
oxide ?
[a] Na
2
O [b] CO
[c] CO
2
[d] Al
2
O
3
[e] CaO
21. Sum of first and 23
rd
term of a arithmetic se-
quence is 56. What is the sum of first 25 terms?
[a] 700 [b] 600
[c] 560 [d] 1120
[e] 1400
22 If Sin (A + B) = Cos(A
B), then
A + B =..........
[a] 90
0
[b] 0
0
[c] 45
0
[d] 30
0
[e]180
0
19.
2 2 3
2 2
Heat
SO O SO
ta kqNn-¸n-¨ hyqlw k´p-e-\m-h-Ø-
bn-em-Wv. X¶n-«pÅ {]hÀ¯-\-§-fnÂ
]ptcm-{]-hÀ¯\ thKw hÀ[n-¡p-¶-Xn\v
Imc-W-am-Im¯ {]hÀ¯\w GXv ?
[a]hyql¯n \n¶v kÄ^À {Stbm-
IvsskUv \o¡w sN¿pI
[b]hyql¯n \n¶v kÄ^À Utbm-
IvsskUv \o¡w sN¿pI
[c]hyql-¯nte¡v kÄ^À Utbm-
IvsskUv tNÀ¡pI
[d] hyql-¯nte¡v HmIvkn-P³
tNÀ¡pI
[e] Ch-sbm-¶p-aÃ
20. Xmsg ]d-bp-¶-h-bn GXmWv Akn-UnIv
HmIvsskUv ?
[a] Na2O [b] CO
[c] CO2[d] Al2O3
[e] CaO
21. Hcp kam-´c t{iWn-bpsS BZy ]Z-¯n-
sâbpw 23þmw ]Z-¯n-sâbpw XpI 56 BWv.
BZys¯ 25 ]Z-§-fpsS XpI F´v ?
[a] 700 [b] 600
[c] 560 [d] 1120
[e] 1400
22. Sin (A + B) = Cos(A
B) F¦nÂ
A + B =..........
[a] 900[b] 00
[c] 450[d] 300
[e] 1800
VERSION : A Subject Code : Others
8
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
23. O is the centre of the circle and PQ is a tan-
gent then
CBP=....................
10
80
A
C
B
P
Q
O
[a] 80
0
[b] 40
0
[c] 100
0
[d] 50
0
[e] 20
0
24. The area of the figure formed by the intersec-
tion of the lines x = 0, y = 0, x = 3 and y = 4
will be =.......
[a] 3 sq.unit [b] 4 sq unit
[c] 6 sq.unit [d] 12 sq.unit
[e] 9 sq unit
25 The value of a second degree polynomial P(x)
is 0 only at x =
1 and P(
2) = 2, then
P(2) =...................
[a]18 [b] 9
[c] 6 [d] 3
[e] 0
26. The roots (solutions) of the equation
x
2
mx + 4n = 0 is differed by 5 then which
of them is correct?
[a] m
2
=16n +25 [b] m
2
=16n
25
[c] n
2
=25m
16 [d] n
2
=16m
25
[e] None of these
23. O hr¯ tI{µhpw PQ sXmSp-h-cbpw BWv
CBP =....................
10
80
A
C
B
P
Q
O
[a] 800[b] 400
[c] 1000[d] 500
[e]
20
0
24. x = 0, y = 0, x = 3 , y = 4 F¶o hc-IÄ
tNÀ¶p-m-Ip¶ _lp-`p-P-¯nsâ
]c-¸-fhv =.................
[a] 3 sq.unit [b] 4 sq unit
[c] 6 sq.unit [d] 12 sq.unit
[e] 9 sq unit
25. P(x) F¶ _lp]Zw x =
1 Bhp-t¼mÄ
am{Xw 0 Bhp-¶p. P(
2) = 2 F¦nÂ
P(2) =..............
[a]18 [b] 9
[c] 6 [d]3
[e] 0
26. x2
mx + 4n = 0 F¶ ka-hm-Iy-¯nsâ ]cn-
l-mc-§Ä X½n-epÅ hyXymkw 5 BWv.
NphsS X¶n-«p-Å-h-bn icn-bm-bXv GXv
[a] m2 =16n +25 [b] m2 =16n
25
[c] n2 = 25m
16 [d] n2 =16m
25
[e] Chsbm¶paÃ
VERSION : A Subject Code : Others
9
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
27. As shown in the figure , a semi circle in scribed
in a rectangle length 2R and breadth R, and
there is small circle touches with sides of rect-
angle and big circle, also shown in figure.If the
radius of the semicircle is ‘R’ and radius of
small circle is ‘r’ then
R
r
=.....
[a]
3 2
[b]
3 2
[c]
3 2 2
[d]
3 2 2
[e]
1 2
28. If the heights and radii of a cone and a hemi-
sphere are same, then the ratio of their
volumes =.........
[a] 1 : 2 [b] 2 : 3
[c] 1 : 3 [d] 1 : 1
[e] 3 : 2
29. The ratio of the difference of the 4th and 8th
terms to 10th term of an arithmetic sequence
is 4 : 15. Square of the difference of 5th and
first is 576 then the first term of the sequence
is ......
[a] 36 [b] 4
[c] 24 [d] 5
[e] 12
27. Nn{X¯n ImWp¶ t]mse Hcp AÀ²
hr¯w, \ofw 2RDw hoXn R Dw DÅ
NXpc¯n DÄsImffn¨ncn¡p¶p, IqSmsX
sNdnb Hcp hr¯w NXpc¯nsâ hi
§fnepw henb hr¯¯nepw sXm«ncn
¡p¶Xpw Nn{X¯n ImWmw. henb hr¯-
¯nsâ Bcw ‘R’ Dw sNdnb hr¯-¯nsâ
Bcw ‘r’ Dw BbmÂ
R
r
=.....
[a]
3 2
[b]
3 2
[c]
3 2 2
[d]
3 2 2
[e]
1 2
28. Hcp hr¯-kvXq-]n-I-bp-tSbpw AÀ[-tKm-f-
¯nsâbpw Db-chpw Bc-§fpw Xpey-am-Wv.
hym]vX-§-fpsS Awi-_Ôw ...............
[a] 1 : 2 [b] 2 : 3
[c] 1 : 3 [d] 1 : 1
[e] 3 : 2
29. Hcp kam-´c t{iWn-bsS 4-- mw ]Z-¯ns³
bpw 8mw ]Z-¯n-sâbpw hyXym-khpw 10 mw
]Zhpw X½n-ep-Å Awi-_Ôw 4 : 15. BWv.
5 mw ]Z¯nsâ bpw 1mw ]Z-¯nsâ bpw
hyXym-k-¯nsâ hÀKw 576 Dw BWv. t{iWn-
bpsS BZy ]Zw .............
[a] 36 [b] 4
[c] 24 [d] 5
[e] 12
VERSION : A Subject Code : Others
10
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
30. A line passes through the intersection of point
of the line x + 2y = 7 and x
2y = 3 and the
origin. Equation of this line is ......
[a] y = 5x [b] x = 5y
[c] x = 3y [d] y = 7x
[e] x + y =5
31. In
ABC,
B = 90
0
and the perpendicular
sides parallel to the axes. If A(2,7), C(5,1)
then, the coordinates of the point B is .....
[a] (2,0) [b] (7,0)
[c] (7,5) [d] (2,1)
[e] (0,0)
32. Three dices are thrown together. The prob-
ability of getting a total atleast 5 of the number
appearing on their tops is..............
[a]
5
54
[b]
7
54
[c]
49
54
[d]
53
54
[e]
50
54
33. If the sum of first P terms and first Q terms of
an arithmetic sequence are equal, then sum of
(P + Q) terms =...............
[a] 1 [b] 0
[c] P + Q
1 [d] P + Q + 1
[e] P + Q
30. Hcp hc x + 2y = 7 , x
2y = 3 F¶o hc-IÄ,
Iq«n-ap-«p¶_nµp-hn-eqsSbpw HdnPn\neqsSbpw
IS¶v t]mhp¶p. F¦n B hc-bpsS ka-
hmIyw ..............
[a] y = 5x [b] x = 5y
[c] x = 3y [d] y = 7x
[e] x + y =5
31. ABCbn B = 900 ew_-h-i§Ä A£-
§Ä¡v kam-´-c-amWv. A(2,7), C(5,1) a[ya
tI{µ-¯nsâ kqN-I-kw-Jy-IÄ F¦nÂ
B =............
[a] (2,0) [b] (7,0)
[c] (7,5) [d] (2,1)
[e]
(0,0)
32. aq¶v ]In-S-IÄ H¶n-¨p-cp-«p¶p. apI-fnÂ
hcp¶ kwJy-I-fpsS XpI Ipd-ªXv 5 hcm-
\pÅ km[yX F´v
?
[a]
5
54
[b]
7
54
[c]
49
54
[d]
53
54
[e]
50
54
33. Hcp kam-´-c-t{i-Wn-bpsS BZys¯ P ]Z-
§-fptSbpw Q ]Z-§-fp-tSbpw XpI-IÄ Xpey-
amWv F¦n P + Q F¶ ]Z-§-fpsS
XpI.................
[a] 1 [b] 0
[c] P + Q
1 [d] P + Q + 1
[e] P + Q
VERSION : A Subject Code : Others
11
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
34. A number is choosen from the natural number
from 1 to 100. What is the probability of that
number is a prime number?
[a]
1
4
[b]
1
5
[c]
19
100
[d]
23
100
[e]
1
3
35 A circular metallic sheet is divided in to two
parts is such a way that each part can be folded
in to a cone. If the ratio of their curved surface
areas is 1 : 2. Ratio of their volumes is .......
[a] 1: 8 [b] 1:
6
[c] 1:
10 [d] 2 : 3
[e] 8 : 27
36. In the figure, PQ, AB and PR are tangents.
PA = x, PB = y, AB = z. If
1 2
1 y, z =1
3 3
x y
then, PQ =.................
P
BR
Q
A
[a] 2x [b] 2y
[c] 3x [d] 3y
[e] x + y
34. 1.apX 100hsc-bpÅ F®Â kwJy-I-fnÂ
\n¶v Hcp kwJy sXsc-sª-Sp-¯mWv AXv
A`n-¶-I-am-hm-\p-Å km[yX................
[a]
1
4
[b]
1
5
[c]
19
100
[d]
23
100
[e]
1
3
35. hr¯m-Ir-Xn-bn-epÅ Hcp teml-X-InSv
cmbn apdn¨v aS¡n hr¯-kvXq-]n-I-IÄ
Dm-¡p¶p. Ah-bpsS h{IXe ]c-¸-f-hp-I-
fpsS Awi-_Ôw 1 : 2. F¦n hym]vX-§-
fpsS Awi-_Ôw.............
[a] 1: 8 [b] 1:
6
[c] 1:
10 [d] 2 : 3
[e] 8 : 27
36. Nn{X-¯n PQ, AB ,PR F¶nh sXmSp-h-c-
IÄ BW.v PA = x, PB = y, AB = z Dw,
1 2
1 y, z =1
3 3
x y
Dw Bbm PQ =.........
P
BR
Q
A
[a] 2x [b] 2y
[c] 3x [d] 3y
[e] x + y
VERSION : A Subject Code : Others
12
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
37. 1
3
+ 2
3
+ 3
3
+.........+9
3
= 2025 then,
5
3
+ 10
3
+ 5
3
+ .........+ 45
3
=..........
[a] 91125 [b] 3645
[c] 10125 [d] 253125
[e] 50625
38.
In the figure, O is the centre and CP is a tan-
gent. CQ =1cm, PC = 2cm then, AB =.........
[a] 3 [b] 4
[c] 1 [d] 2
[e] 5
39. In the figure O is the centre of the circle. Then
x + y + a =...........
A
B
C
O
a
x y
[a]180 [b] 90
[c] 60 [d] 120
[e] 360
37
1
3
+ 2
3
+ 3
3
+.........+9
3
= 2025
F¦nÂ
5
3
+ 10
3
+ 5
3
+ .........+ 45
3
=..........
[a] 91125 [b] 3645
[c] 10125 [d] 253125
[e] 50625
38.
Nn{X-¯n O AÀ²-hr-¯-¯nsâ tI{µhpw
CP sXmSp-h-cbpw BWv .CQ =1cm, PC = 2cm
F¦n AB =...........
[a] 3 [b] 4
[c] 1 [d] 2
[e] 5
39. Nn{X-¯n O hr-¯-tI-{µ-am-Wv. F¦nÂ
x + y + a =. .......
A
B
C
O
a
x y
[a]180 [b] 90
[c] 60 [d] 120
[e] 360
A
BC
P
OQ
A
BC
P
OQ
VERSION : A Subject Code : Others
13
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
40. In the figure, sides of triangle ABC touches
the circle at P, Q, R and AP = 7cm, BC = 13cm.
Perimeter of triangle ABC =...........
A
P R
QCB
[a] 27cm [b] 30cm
[c] 40cm [d] 41cm
[e] 60 cm
41. A point divides the line joining the points
A(2,1), B(5,10) in the ratio 1: 2. If this point
lies of the line 2x
y
k = 0 then, k =..........
[a] 1 [b] 3
[c] 4 [d] 2
[e] 0
42. A person wishes to to fit three rods together
in the shape of a right triangle so that the hy-
potenuse is 4cm longer than its base and 8cm
longer than its altitude. The length of the rods
are in cm is =...........
[a] ( 3,4,5) [b]( 10,14,18)
[c](6,8,10) [d](12,16,20)
[e] None of these
40. Nn{X-¯nÂ
ABC
bpsS hi-§Ä
hr¯s¯ P, Q, R F¶o _nµp-¡-fn sXmSp-
¶p. AP = 7cm, BC = 13cm BbmÂ
ABC
bpsS Npä-fhv ......
A
P R
QCB
[a] 27cm [b] 30cm
[c] 40cm [d] 41cm
[e] 60 cm
41. A(2,1), B(5,10) F¶o-_n-µp-¡Ä tbmPn-¸n-
¡p¶ hcsb Hcp _nµp 1 : 2 F¶ Awi-_-
Ô-¯n apdn-¡p-¶p. Cu _nµp
2x
y
k = 0 F¶ hc-bn-emWv .F¦nÂ
k =..........
[a] 1 [b] 3
[c] 4 [d] 2
[e] 0
42. ap¶v ZWvUpIÄ D]-tbm-Kn¨v Hcp a«-{Xn-tIm-
W-ap-m-¡p-¶p. CXnsâ IÀWw ]mZ-t¯-
¡mÄ 4cm IqSp-Xepw ew_-t¯-¡mÄ 8cm
IqSp-X-ep-am-Wv. F¦n Z¬UpIfpsS BsI
\ofw....................
cm
[a] ( 3,4,5) [b]( 10,14,18)
[c] (6,8,10) [d](12,16,20)
[e] Chsbm¶panÃ
VERSION : A Subject Code : Others
14
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
43. A,B,C are centres of circles. If AB = 5cm,
BC=7cm, AC = 6cm then the radius of the
circle with centre A is .....
[a] 1.5 cm [b] 2 cm
[c] 2.5 cm [d] 3 cm
[e] 3.5 cm
44. A dice thrown twice, the probability of the sum
being odd is ....
[a]
1
2
[b]
1
3
[c]
1
4
[d]
1
6
[e]
1
5
45. In a group of students, 10% students scored
mark lessthan 20, 20% students scored 20 to
40, 20% students scored 40 to 60, 35% stu-
dents scored 60 to 80. Remaining 30 students
scored marks 80 to 100. Find mode of the
marks.
[a] 30 [b] 60
[c] 50 [d] 70
[e] 40
43. Nn{X-¯n A,B,C hr¯-tI-{µ-§Ä BWv
AB = 5cm, BC=7cm, AC= 6cm F¦n A
tI{µ-amb hr¯-¯nsâ Bcw................
[a] 1.5 cm [b] 2 cm
[c] 2.5 cm [d] 3 cm
[e] 3.5 cm
44. Hcp ]InS cp {]mhiyw Dcp-«p-¶p. apI-
fn hcp¶ kwJy-I-fpsS Hä kwJy-bm-Im-
\pÅ km[yX F´v
[a]
1
2
[b]
1
3
[c]
1
4
[d]
1
6
[e]
1
5
45. Hcp Iq«w Ip«n-I-fn 10% Ip«n-I-fpsS
kvtImdp-IÄ 20 \v Xmsg-bmWv, 20%Ip«n-I-
fpsS kvtImdp-IÄ 20\pw 40\pw CS-bn-
emWv, 20%Ip«n-I-fpsS kvtImdp-IÄ 40\pw
60\pw CS-bn-emWv, 35%Ip«n-I-fp-tSXv 60\pw
80\pw CS-bn-emWv _m¡n-bpÅ 30 Ip«n-I-
fpsS kvtImdp-IÄ 80\pw 100\pw CS-bn-
emWv .amÀ¡p-I-fpsS hnlnXw ImWpI
[a] 30 [b] 60
[c] 50 [d]70
[e]40
A B
C
A B
C
VERSION : A Subject Code : Others
15
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
46
Nn{X-¯n AD AÀ²-hr-¯-¯nsâ
hymkhpw sjbvUv sNbvX sNdnb `mK-
¯nsâ ]c-¸-fhv 20cm2 Dw BWv. sjbvUv
sNbvX henb `mK-¯nsâ ]c-¸-fhv F´v
?
[a] 40 cm
2
[b] 60 cm
2
[c] 70 cm
2
[d] 80 cm
2
[e] 30 cm
2
47. Nn{X-¯n B = 900, O hr¯ tI{µhpw
BWv. AC = a Dw BC = b Dw OA = x F¦nÂ
x2 =.....................
[a] ab [b] a2 + ab
[c] a2
ab [d] a +b
[e] a
b
46.
In the figure, AD is the diameter of the semi-
circle, area of small shaded portion is 20cm
2
.
What is the area of the large shaded portion?
[a] 40 cm
2
[b] 60 cm
2
[c] 70 cm
2
[d] 80 cm
2
[e] 30 cm
2
47. In the figure
B = 90
0
, O is the centre of the
circle, AC = a ,BC = b and OA = x then
x
2
=....................
[a] ab [b] a
2
+ ab
[c] a
2
ab [d] a +b
[e] a
b
ABD
C
)40 ABD
C
)40
BC
o
A
b
a
BC
o
A
b
a
VERSION : A Subject Code : Others
16
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
48. tKmfm-Ir-Xn-bn-epÅ Hcp sjÃnsâ AI-
s¯bpw ]pd-s¯bpw Bc-§Ä bYm{Iaw
2cm , 4cm CXv Dcp¡n 4cm Bc-apÅ Hcp
hr¯-kvXq-]nI Dm-In-bm kvXq]n-I-bpsS
Dbcw ?
[a] 14cm [b] 18cm
[c] 20cm [d] 16 cm
[e]
10cm
49. cv \mW-b-§Ä Htc kabw Dcp-«p-¶p. Hcp
Xe-sb-¦nepw In«m-\p-Å km[yX F´v
[a]
1
4
[b]
1
2
[c]
3
4
[d] 1
[e]
1
3
50. Nn{X-¯n B = 900, BC= 6cm, AB = 8cm
BWv. F¦n hr¯-¯nsâ Bcw .............
A
B C
[a] 5cm [b] 4cm
[c] 3cm [d] 2cm
[e] 3.5 cm
48. A metallic spherical shell of internal and ex-
ternal radii 2cm and 4cm respectivly, is melted
and recast in to the form of a cone of the base
radius 4cm. Then height of this cone is =............
[a] 14cm [b] 18cm
[c] 20cm [d] 16 cm
[e]10cm
49. Two coins are tossed simultaneously. What is
the probability of getting atleast one head?
[a]
1
4
[b]
1
2
[c]
3
4
[d] 1
[e]
1
3
50 In
ABC,
B = 90
0
, BC = 6cm, AB = 8cm.
then radius of the circle is .....
[a] 5cm [b] 4cm
[c] 3cm [d] 2cm
[e] 3.5 cm
A
B C
VERSION : A Subject Code : Others
17
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
51 c-ähpw Xpd¶ Hcp ss]¸nsâ ]c-¸-fhv
200
m2 . Db-chpw Bchpw X½n-epÅ
hyXymkw 15m . Dbcw Bc-s¯-¡mÄ hep-
Xm-Wv. Hcäw AS-¨m ss]¸nsâ DÅ-fhv
F´v
[a] 500
cm3[b] 525
cm3
[c] 550
cm3[d] 600
cm3
[e] 400
cm3
52. 10cm
5cm
2cm F¶o Af-hp-I-fpÅ
NXp-cm-Ir-Xn-bn-epÅ Hcp ac-I-«-bn \n¶pw
7cm Db-chpw 3cm Bchpw DÅ Hcp
hr¯kvXq]nI sN¯n-sb-Sp-¡p-¶p.- _m-¡n-
h-cp-¶Xv F{X iX-am\w ac-am-bn-
cn¡pw
22
7
[a] 34% [b] 46%
[c] 54% [d] 66%
[e] 33%
53. ‘n’ kwJy-I-fpsS am[yw M BWv. H¶m-
as¯ kwJy-tbmSv 1Dw cm-as¯ kwJy-
tbmSv 2Dw aq¶m-as¯ kwJy-tbmSv 3 Dw
XpS§n n \¼dnt\mSv n’Dw Iq«n-In-«p¶ ]pXnb
kwJy-I-fpsS am[yw
[a]
1
2
n
M
[b]
2
n
M
[c] M + n [d] M
n
[e]M + n + 1
54. x2 + bx+ 12 = 0 F¶ ka-hm-Iy-¯nsâ Hcp
]cn-lmcw 2 BWv. x2 + bx + q = 0 F¶ ka-
hm-Iy-¯nsâ ]cn-lm-c-§Ä Xpey-amWv
F¦n q =.......
[a]
8 [b] 8
[c]
6 [d]16
[e] 0
51. Surface area of a cylindrical pipe, open at both
ends is 200
m
2
. The difference between its
radius and height is 15m, the height being
larger. If the pipe was closed at one end, what
is the capacity?
[a] 500
cm
3
[b] 525
cm
3
[c] 550
cm
3
[d] 600
cm
3
[e] 400
cm
3
52. A cone of height 7cm and base radius 3cm is
carved from a rectangular block of wood of
diamensions 10cm
5cm
2cm. The percent-
age of wood waste is .....
22
7
[a] 34% [b] 46%
[c] 54% [d] 66%
[e] 33%
53. The mean of ‘n’ numbers is M. If 1 is added
to the first number, 2 is added to the second
number, ..... n is added to n
th
number, then the
new mean is ....
[a]
1
2
n
M
[b]
2
n
M
[c] M + n [d] M
n
[e] M + n + 1
54. If 2 is a root of the equation x
2
+ bx+ 12 = 0
and the equation x
2
+ bx + q = 0 has equal
roots, then q =...............
[a]
8 [b] 8
[c]
6 [d]16
[e] 0
VERSION : A Subject Code : Others
18
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
55. If SinA
CosA =
2 Sin (90
A), then
tanA =....
[a
[b]
[c]
[d]
[e]
1
2
56. If the radius of a sphere is decreased by 20%,
by what percent does its curved surface area
decrease?
[a] 20% [b] 80%
[c] 50% [d] 36%
[e] 25%
57. The ratio of the volume of a cube to that of a
sphere which exactly fits inside the cube is ....
[a] 6 :
[b]
: 6
[c]
: 12 [d] 12 :
[e] None of these
58. The mean of 20 observations 12.5. By error,
one observation was noted as
15 instead of
15. then, the correct mean is .........
[a] 11.75 [b] 11
[c] 14 [d] 13.25
[e] 12.5
59 The sum of 18 consecutive natural numbers is
a perfect square. The smallest possible value
of this sum is ......
[a] 144 [b]169
[c] 225 [d] 289
[e] 324
55. SinA
CosA =
2 Sin (90
A)F¦nÂ
tanA =.......
[a
[b]
[c]
[d]
[e]
1
2
56. Hcp tKmf-¯nsâ Bcw 20% Ipd-¨mÂ
AXnsâ h{IXe ]c-¸-fhv F{X iX-am-\-amWv
Ipd-bpI
[a] 20% [b]80%
[c] 50% [d] 36%
[e]
25%
57. Hcp Iyq_n \n¶v \nÀan-¡m-hp¶ Gähpw
henb tKmf¯nsâbpw Cu Iyq_nsâbpw
hym]vX§Ä X½nepÅ Awi_Ôw.....
[a] 6 :
[b]
: 6
[c]
: 12 [d] 12 :
[e] Chsbm¶paÃ
58. 20 AfhpIfpsS icmicn 12.5 BWv. CXnÂ
15\v ]Icw
15 F¶v sXämbn FgpXn
bncp¶p. icnbmb icmicn F´v
?
[a] 11.75 [b] 11
[c] 14 [d] 13.25
[e] 12.5
59. XpSÀ¨bmb 18 F®Â kwJyIfpsS XpI
Hcp ]qÀW hÀKamWv . C§ns\ hcmhp¶
Gähpw sNdnb ]qÀW hÀKw.............
[a] 144 [b] 169
[c] 225 [d] 289
[e] 324
VERSION : A Subject Code : Others
19
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
60. Nn{X¯nÂ,
C, CA
F¶nh
sXmSphcIfmWv. APQ = 450,
ARQ = 550 F¦n A =..............
[a] 1000[b] 500
[c] 1300[d] 800
[e] 450
61. xy + yz + zx = 0 F¦nÂ
2
1
x yz
+ 2
1
y zx
+ 2
1
z xy
= ..........
[a] 3 [b] 0
[c] 1 [d] x + y + z
[e] 2
62. Nn{X¯n AÀ[hr¯¯nsâ tI{µamWv
O. PQR = 950, OAQ = 250.BbmÂ
BRS..............
[a] 550[b] 450
[c] 650[d] 600
[e] 350
60. In the figure,
C
and CA touches the
circle.
If
APQ = 15
0
,
ARQ = 35
0
then
A =........... .
[a] 100
0
[b] 50
0
[c] 130
0
[d] 80
0
[e] 45
0
61. If xy + yz + zx = 0, then
2
1
x yz
+
2
1
y zx
+
2
1
z xy
= ..........
[a] 3 [b] 0
[c] 1 [d] x + y + z
[e] 2
62. In the figure, O is the centre of the semicircle,
PQR = 95
0
,
OAQ = 25
0
. Find
BRS.
[a] 55
0
[b] 45
0
[c] 65
0
[d] 60
0
[e] 35
0
P
A
Q
R
B
C
P
A
Q
R
B
C
AO B
S
R
P
Q
AO B
S
R
P
Q
VERSION : A Subject Code : Others
20
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Space for rough work
63. Bcw 3cm Bb Hcp AÀ[hr¯¯nÂ
hcbv¡mhp¶ Gähpw henb {XntIm
W¯nsâ ]c¸fhv F´v
?
[a] 3cm2[b] 9cm2
[c] 6cm2[d] 27cm2
[e]18cm2
64. 3
2
BcapÅ Hcp tKmf¯nsâ hym]vXw
]mZ]c¸fhnsâ aq¶nc«n h{IXe
]c¸fhpÅ Hcp hr¯kvXq]nIbpsS
hym]vX¯n\p XpeyamWv. F¦nÂ
kvXq]nIbpsS Dbcw F´v
?
[a] 4cm [b] 6cm
[c] 8cm [d]10cm
[e] 1cm
65. Hcp Shdnsâ A{Kw t\À hcbnepÅ cv
_nµp¡fn Shdnsâ A{Kw 410, 490 taÂ
tImWpIfn ImWp¶p. ShdnsâNph«nÂ
\n¶v Cu _nµp¡fnte¡pÅ AIe§Ä
49 m, 36m BWv. F¦n Shdnsâ Dbcw
F´v
?
[a] 40m [b] 42m
[c] 44m [d] 46m
[e] 85m
66. 2
0
x ax b
, 2
0
x bx a
F¶o
kahmIy§Ä¡v s]mXphmbn Hcp ]cnlmcw
Dv , F¦n a + b =.........
[a] 1 [b] 0
[c]
1 [d] 2
[e]
2
63. What will be the area of the largest triangle
inscribed in a semicircle of radius 3cm?
[a] 3cm
2
[b] 9cm
2
[c] 6cm
2
[d] 27cm
2
[e] 18cm
2
64. The volume of a sphere having radius
3
2
cm
is equal to the volume of a cone whose lateral
surface area is three times of the area of the
base. Then height of the cone is ......
[a] 4cm [b] 6cm
[c] 8cm [d]10cm
[e] 1cm
65. A tower on a horizontal plane. The angle of
elevation of the top of the tower from two
points on a line passing through the foot of the
tower at a distances 49m and 36m are 41
0
and
49
0
. The height of the tower is ....
[a] 40m [b] 42m
[c] 44m [d] 46m
[e] 85m
66. If the equations
2
0
x ax b
and
x
2
+ bx + a = 0 have a common root
(solution), then a + b =.........
[a] 1 [b] 0
[c]
1 [d] 2
[e]
2
VERSION : A Subject Code : Others
21
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
67. How many terms of the arithmetic sequence
3,6,9,... must be taken to make the sum 108?
[a] 6 [b] 7
[c] 8 [d] 36
[e] 9
68. In triangle ABC,
C= 90
0
.If SinA = 2/3,
then tan B =...............
[a]
3
5
[b]
5
3
[c]
2
5
[d]
5
2
[e]
1
2
69. If 9 times of 9
th
term in an arithmetic se-
quence is equal to 15 times of the 15
th
term.
Then its 24
th
term is ..................
[a] 0 [b] 9
[c]15 [d] 23
[e] 24
70. The root (solution) of the equation
x
2
+ px + q = 0 are1 and 2. Then roots of the
equation qx
2
px + 1 = 0 must be ....
[a]
1
1,
2
[b]
1
,1
2
[c] 1
, 1
2
[d]
1
1,
2
[e] (1, 2)
67. 3,6,9,... ....F¶ kam´ct{iWnbnse
BZys¯F{X ]Z§fpsS XpIbmWv108?
[a] 6 [b] 7
[c] 8 [d] 36
[e] 9
68.
ABC
bn C= 900, Sin A = 2/3 F¦nÂ
tan B =..........................
[a]
3
5
[b]
5
3
[c]
2
5
[d]
5
2
[e]
1
2
69. Hcp kam´c t{iWnbpsS 9 -mw]Z¯nsâ 9
aS§v 15 -mw]Z¯nsâ -15 aS§n\v XpeyamWv.
F¦n Cu t{iWnbpsS 24 mw]Zw F´v?
[a] 0 [b] 9
[c] 15 [d] 23
[e] 24
70. x2 + px + q = 0 F¶ kahmIy¯nsâ
]cnlmc§Ä 1, 2 BWv. qx2
px + 1 = 0
F¶ kahmIy¯nsâ ]cnlmc§Ä
...................
[a]
1
1,
2
[b]
1
,1
2
[c] 1
, 1
2
[d]
1
1,
2
[e] (1, 2)
Space for rough work
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
Science Institute Manjeri : 0483 2768340 ,9072100500, 9061506663
