STSE 2013 Question Paper

Booklet S1. No. .......................................
**o
Roll No.
I I I I STSE/13
~rw1'YhWEhVf&lT,
2013

*:
State Science Talent Search Examination, 2013
m:2 e IS0
Time :2 hours Max. Marks. 150

Instructions to Candidates
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Read the following instructions carefully before you answer the questions.

1. q?~qTI & $ rn pi;^; qgq m-m 1. Answers are to be marked on the
separate Answer Sheet which will be
mff%MwmmPelrnfim't3f?m
collected after the time is over.

2. Write your Roll No. very clearly
2. m*m7,*%mm-w3 ( only one digit in one block ) as
mrlzrrk --( wm3* given on your Admission Card.
l~e~nef%**fma See that no block is left unfilled and
=IT& 1 % m 7 3 & & ~ % even zeros appearing in the Roll No..
a%ioij~Ff7q3m--~* if any, are correctly transferred to
4k&3FmFm~4
I t h e appropriate blocks on t h e
booklet and on the Answer Sheet.
Example :

For all subsequent purposes, your
Roll No. shall remain the same a s
given on the Admission Card.

3. This test is in SIX parts. Each part
consists of 25 questions. In all,
150 questions are to be attempted.
Each question carries one mark.
4. Since all t h e questions a r e
compulsory, do not try to read
through the whole question paper
before beginning to answer it.

[ P.T.O.

STSE/13 (2
5. & 3m;l$ m& 5. Begin with the first question and
keep on attempting one question
w$im*as.r+Irnffd*
after another till you finish.
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6. If you do not know the answer to
any question, do not spend much
6.
time on it and pass on to the next
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one. If time permits, you can come
3~1rnqgiJrfmw;rm&&
back to the questions which you
3m;lTTTF 1-=3VFRf%?i, have left in the first instance and try
d?1msmiidpg~~@fm~mthem again.
¶ g;r: ?Fi%33T 8d k 7. Space has been provided for rough
work a t the bottom of each page.
m1
8. Answer to each question is to be
7. *paa&*i9idtftqmftsr
indicated by blackening, with H.B.
T4$ l pencil, the bubble ( circle ) of the
correct alternative in the separately
8. *mmmpm,*Mrn-m3
given Answer Sheet from amongst
?Rftsm;l~d~df&F?i~ the~ones
F lgiven
8 for the corresponding
-W$+H&*$I H . B . ~ $ question in the test booklet. Please
also read the instructions carefully,
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given on the back side of the Answer
f$.r;tm3oitwR-oiim~* I Sheet.

m & p m W ~ a 3 ? i t m % r r m ~ - 4 tIM
Now go to the next page and start answering the questions.

=k- ~ ~ 3 i ~ j m ; r r m ~ ~ m 7 m d t ~ ~ m m ~
*w=rm I
Note : Do not write anything anywhere in this booklet except your Roll Number and
Rough Work a t the places meant for it.

An object is moving on a circle of radius r. When it completes half circle,

then the distance and displacement travelled by it will be

(1) 2 x r , r (2) x r, 2 r

(3) 2 x r , 2 r (4) x r , r .

3. 3~m~;c- ( m ) & t d m G ~ ( v3) f % ~ & M 3 f i ~ ~
$ , * ~ * ~ ~ 4 T + n
Two bodies of equal mass ( r n ) moving with equal velocity ( u ) in opposite
directions collide. Then the resultant velocity of the combination will be

(3) - IJ (4) / zero.

A gun fires bullets of mass rn a t the rate of n bullets per second with a
velocity v. Then the force required to keep the gun in its position will be
rnv
(1)

TV; =+id
( Rough Work )

S.T.S.E. / 13 - Phy.

A ball attains 100 m of maximum height, when it is thrown vertically
upward. Initial velocity of the ball will be

6. ~ ~ f @ K ~ hf i l 9 1 (; 1 % ~ )
The value of universal gravitational constant ( G ) is

The angle between the force and displacement for negative work will be

A bus and a car moving with the same kinetic energy are brought to rest
by application of brakes which provide equal retarding force. Ratio of the
distances covered by them will be
(1) 1 : 1 (2) 2 : 1

(3) 1:2 (4) 4 : 1.

7K ?md ( Rough Work )

S.T.S.E. / 1 3 - Phy.

A ship sends out ultrasound that reflects from the seabed and is detected

after 4 sec. If the speed of ultrasound through sea water is 1.53 km/sec,

then distance of the seabed from the ship will be

lo. f i ; t ~ a h l + m 4 W a e ~ l m m * r n m : ?

In the given wave diagram wavelength and amplitude are respectively

Time t( in second )

(1) 8 cm, 2 cm (2) 8 c m , 1 cm

(3) 4 cm, 2 cm (4) 4 cm, 1 cm.

T R d ( Rough Work )

S.T.S.E. /13 - Phy.

When a wave travels in a medium, then the quantity that transfers from
one place to the other with the wave is

(1) FTFl / mass (2) &l / velocity
(3) / density (4) 3;sif/ / energy.
12. *a;rd,m*mm:x,Y~zm*md~,?it~

If work, force and time are represented by X , Y and Z respectively then
the term ( ) will represent

(1) &l / velocity (2) f%WFi / displacement

(3) FPI / acceleration (4) ?d/ energy.
13. T C + T I ~ * W T ~ *sin i = x ,sin r = y a e n * m w i [ 3 h ~
srezm3d.r U , % , T ? r i t ; . . r ; f ~ ~ - e l ; h r l T
In the phenomenon of refraction of light if sin i = x, sin r = y, and if
velocity of light in air is c and in medium is v ,then the correct relation
between them will be

(4) v ,= cxy.
TW T F f ( Rough Work )

S.T.S.E. /13 - Phy.

Focal length of a concave mirror is 10 cm. If the object is placed a t point
B in the given figure then position of image will be at

(1) A T / a t A

(2) B T / a t B

; / in between A and B
(3) A q ~ dW4

(4) C T / a t C .

15. - 2 D WlTd;hdY@'@'&X$$$h?

Nature and focal length of a lens of power - 2 0 will be

(1) TtlFl?F'J, 50 % / convex lens, 50 cm

(2) VRiFi h,50 % / concave lens, 50 cm

(3) 33Fl m, - 50% / convex lens, - 50 cm
(4) 3TTtFf h , - 5 0 M / concave lens, - 50 cm.

T9i ( Rough Work )

S.T.S.E. /13 - Phy.

The muscles of the iris control

(1) *h * $I @ / focal length of the eye lens

(2) T l f;[ / size of pupil

(3) f%ZFh ?h
$I / shape of crystalline lens

(4) FWI- / optic nerves.

Twinkling of stars is due to

(1) / reflection

(2) i%/h
dispersion

(3) WTFTJh WTCh / atmospheric refraction

(4) dbh / scattering.

1 joule
1 coulomb is

(1) 1 WZ / 1 watt (2) 1 Gk? / 1 volt

(3) 1@TR / 1 ampere (4) 1 Ybd'4 / 1 resistance.

Ti7 ( Rough Work )

S.T.S.E. /13 - Phy. [ P.T.O.

Two wires of same material A and B are of lengths
- 10 cm and 20 cm and
have radii 1 cm and 2 cm respectively. The ratio of their resistance

will be
(1) 1 :2 (2) 1 : 1
(3) 2 : 1 (4) 4 : l .
20. f?3**wgmTft+ram
Equivalent resistance of the given combination will be

An electric fan rated 80 watt is used for 10 hours per day. At the rate of
Rs. 4 per unit, what will be the cost of energy consumed by it for the
month of September 7
(1) 24Fd / Rs. 24 (2) 4 8 d / Rs. 48
(3) 72 d / Rs. 72 (4) 9 6 d / Rs. 96.

TX ( Rough Work )

S.T.S.E. /13 - Phy.

A device that produces an electric current in a n electric circuit is
(1) STrih / an ammeter (2) &X / a motor
(3) 3 h / a generator (4) / a galvanometer.
23. ~ * 6 3 7 * ~ * f % i T d f @ i ' l ~
In the given figure the direction of deflection in the galvanometer will be

-

(1) & / to the left
(2) T8 & / to the right
(3) Tm4 &FIN / changeable with time
(4) 3%& / no deflection.

A device which converts electrical energy into mechanical energy is
(1) f%J3 $RX / electric motor (2) * / dynamo
(3) $k%T& / transformer (4) * / generator.
25. ~ m r r ~ a g ~ ~ ~
Voltage and frequency of domestic power supply used in India is
(1) 220 volt, 100 Hz (2) 440 volt, 100 Hz
(3) 220 volt, 50 Hz (4) 440 volt, 50 Hz.

T F T d ( Rough Work )

S.T.S.E. /13 - Phy.

STSE/13 - Chem.

2 . ~ ~
(mTiwri*25 5
CHEMISTRY
( Question Nos. 1 to 25 )

Electronic configuration of a n element is 2, 8, 5. The symbol of this
element is

(1) N (2) P

(3) S (4) B.
2. ~ T ~ ~ ~ ~ ~ ~ ~ ~ ~ - I ~

The element present in Group - 14 of third period of modern periodic
table is

The reaction involved in black and white photography is

(3) Ag 20+ H 20 + 2 &OH

(4) 2 A g + H 2 S + A g 2 S + H 2 .

V5 ( Rough Work )

S.T.S.E. / 13 - Chem.

When a nail of iron is placed in copper sulphate solution for some time,
its colour becomes brown. The reaction is called

(1) / oxidation (2) W W T l / reduction

(3) 'kWW / displacement (4) W V E i / decomposition.

5. m *
Protium is
(1) :
H

(3) ;H

At which pH value is the acid rain possible ?

(1) 5 . 6 3 7m / less than 5.6 (2) 5 . 6 3 STf- / more than 5.6

(3) 7.6* SrfW / more than 7.6 (4) 6 . 6 3 &W / more than 6.6.

The chemical formula of white precipitate obtained by passing carbon
dioxide into lime water is
(1) CaSO (2) CaC03

(3) c a o (4) C Z I ( H C O ~ ) ~ .

TK ( Rough Work )

S.T.S.E. /13 - Chem. [ P.T.O.

( 14)

8. 3Tfms~wM*m?k%%
The nature of most of non-metal oxides is
(1) V F h / acidic (2) W h / basic
(3) JRTih / neutral (4) 3 ~ W f f/ arnphoteric.
9. ~ m 3 t f * i M ~ ~ 3 ; I ' ~ 3 m ~ ? ?
The metals present a t the lowest position in reactivity series are available
in nature a s

(1) 3lk!V$ % fi 3 /in the form of oxide
(2) & fi3 / in the form of sulphide
(3) Fd%? & f i 3 / in the form of carbonate
(4) 3FWTI 3 / in native state.

10. ~ 3 m ~ ~ m ~ J R T i h ~ 3 ~ m m f ; l ~
The formula of chemical used to neutralise excess of acid in stomach is
(1) N a 2 C 0 3 . 1 0 H 2 0 (2) NaHC03
(3) NaNO (4) NaOH.

--
Silver articles become black after some time when exposed to air due to

-
the formation of

(1) Fd%? / carbonate (2) / oxide

(3) / sulphide (4) / hydroxide.

7Vi T d ( Rough Work )

S.T.S.E. /13 - Chem.

Hydrophobic tail in micelles is

(1) Wdf&i $lfZW / positively charged sodium

(2) W&fh / positively charged potassium

(3) TTdf$?f Tdf&T& / negatively charged carboxylate

(4) m
. / hydrocarbon.

The structural formula of ester formed by the reaction of absolute ethanol
with ethanoic acid in presence of acid catalyst is

Vfi d ( Rough Work )

/ 13 - Chem.
S.T.S.E.

( 16)

14. ~ & f % W T ~ ~ ~ ~ f !
The organic compound obtained by fermentation of molasses is

(2) / ethanol

(3) y m 33W / ethanoic acid

(4) $W g m / ethyl ethanoate.
0
II
15. C H 3 - C H z - C H 2 - C -OHmf;lf!

0
II
Thename o f C H 3 - C H 2 - C H 2 - C -OH is

(1) -3' 33W / propanoic acid (2) * / propanone

(3) / butanol (4) 3F?I / butanoic acid.

16. * F T * ~ - q @ ? ~ * m d t $ m

The smell of open perfume reaches far away due to

(1) 3jr 4 T
TT
cT &ft X / smell of perfume is sharp
' ?h

(2) 3 f! / perfume possesses sublimation
properties

(3) "[rn Ti9;R $hi f! / perfume possesses condensation properties

(4) 3jr 4 f k P X W Ti9;R $hi ?$ / perfume possesses diffusion properties.

TF d ( Rough Work )

S.T.S.E. /13 - Chem.

Solute and solvent in tincture iodine are
(1) 1 2 * H 2 0 (2) 1 2 , C 0 2

(3) I z + N H 3 (4) 12,C2H50H.

18. fgql?=Tf!.%?f&-d
Components of alloy brass are
(1) hk q * / zinc and copper (2) % */ tin and copper

(3) '?&ti q f%f / zinc and tin (4) * q d X / copper and lead.

19. TKFi ................... - F T i T f V $ I

Cloud is a ................ colloid.
(1) / Emulsion (2) * / Gel
(3) $r@R / Aerosol (4) T h / Foam.
20. ~ a j i r ~ w e i f * y ~ ~ ~ ~ ~ ~ ~
The process used for separation of drugs from blood is
(1) 3 = d P l / centrifugation (2) / distillation
(3) $PkkT? / chromatography (4) 3d"¶Fi / sublimation.
21. 400g @hkT+ 1 0 0 g ~ d m ~ ~ ~ m ~ T ? f ~
The concentration of solution obtained by dissolving 100 g of organic
solid in 400 g of ethanol is
(1) 10% (2) 15%

(3) 20% (4) 25%.

TX 3iTd ( Rough Work )

S.T.S.E. /13 - Chem.

The symbol proposed by Dalton for phosphorus is

The mass ratio of sulphur and oxygen in sulphur dioxide is
(1) 1:1 (2) 1 :2
(3) 1:3 (4) 1:4.
24. 2 4 g $%3W-ffdd?kl*
Number of particles in 24 g of helium is
(1) 6.022 x 1023 (2) 3.613 x
(3) 6.022 x (4) 3.613 x l o z 4

(1) 7 % - %@
(2)

(3) & -VTI
I

-
The series separated placed below in modern periodic table is
/ Lanthanide
&Jl/?
series
Actinide series
rn / Lanthanide and actinide series
(4) dWTl hi? / transition series.

T5 & ( Rough Work )

S.T.S.E. /13 - Chem.

)
(WTFkT1~25
BIOLOGY
( Question Nos. 1 t o 25 )

Group of egg-laying mammalian animals is

(1) =4 / Echidna and Whale

(2) * =4 / Whale and at

(3) q $&Ri / Bat and Platypus

(4) $&Ri q $k?/$l
Platypus and Echidna.

2. rn DNA q 7 l F k a - 4 d d - 3
Cell organelles having their own DNA and ribosome are

(1) q / plastids and mitochondria

(2) * T $ 3 mM / plastids and vacuoles

(3) TT$Rh q 3WiPl / lysosome and golgi apparatus

(4) TF~M
i4 -I / vacuoles and mitochondria.

TE d ( Rough Work )

S.T.S.E. /13 - Bio. [ P.T.O.

If the phloem of the stem is closed with wax then
(1) * * m w m m h /
the absorption of water from the soil will not take place
(2) ~'fimmmwmm$Tr/
the conduction of water from the root to the leaves will not take
place
(3) m3i'mmMm*mh/
the food formed in the leaves will not be conducted to the organs
(4) ~*mmwwm*m/
the conduction of water from the root to the leaves will continue to
take place.

The tissue which makes the plant hard and stiff is
(1) @kF6 / Sclerenchyma (2) Fki Xi% / Chlorenchyma
(3) / Parenchyma (4) 3376 / Aerenchyma.
5. m*3 0 2 2 f i q 3 - r i m ~ ~ ?~ *
By which of the following is 0 evolved during photosynthesis ?

(1) Tkf@3 / Chlorophyll
(2) %k%'f@6 'fi / Phosphoric acid
WtT
(3) TFkl m- 'fi / Carbon dioxide
(4) T'3 3 / Water.

Vi7 mrzf ( Rough Work )

S.T.S.E. /13 - Bio.

--
6. * - ~ * ~ ~ ~ F k - Y ~ f t ' % d :$
*-x aikm-Y
(PI f3atf37 (i) $Z w *
(9) F f F h F h (ii) + qfz
(R) (iii) ~~~
*** P 9 R
(1) i ii iii
(2) iii i ii
(3) ii iii i

(4) i iii ii.
The plant hormones are in C o l u m n - X and their functions are in
Column-Y :
Column-X Column-Y
(P) Gibberellin (i) inhibits growth
(9) Cytokinin (ii) growth of the stem
(R) Abscisic acid (iii) cell division.
Correct match is
P Q R
(1) i ii iii
(2) iii i ii
(3) ii iii i
(4) i iii ii.

TF ( Rough Work )

S.T.S.E. /13 - Bio. [ P.T.O.

( 22

7. *m*d~fWi3mfmmd
If a Planaria is divided into two halves then

(1) Wl ? / both parts die
$f

(2) 3m W W fil&il$/ only anterior part is regenerated

(3) h r19J oTm =6l F;
I $h$ / only posterior part is regenerated
(4) % d% ? / both the parts are regenerated.
8. Tj5Fhi7Fid ( T t ) $qdm* ( t t ) *~*7+ihWh'R&$lfl

A hybrid tall ( Tt ) plant is crossed with pure dwarf ( tt ) plant. Then the
progeny will be

(1) loo%* / 100%tall

(2) 50%a @ 50%d / 50% dwarf and 50% tall
(3) 100%a / 100% dwarf

(4) 75%d @ 25%a / 75% tall and 25% dwarf.

9. i t ~ ~ 3 ~ ~ ~ ~ ; r 7 m & l l
The correct order of binary fission in Amoeba from the given figures is

(1) I, 11, 111, N (2) 11, N , 111, I

(3) 11, 111, N , I (4) N, 11, I, 111.

7rli Td ( Rough Work )

S.T.S.E. / 13 - Bio.

lo. vTm@f?m+*dmmf;rW*
In the ecosystem the path of energy flow is
(1) 3FfRF+?lTmT3+-+~msm;/
producer +herbivore + carnivore + decomposer
(2) 3 F f R F - + ~ + ~ + ~ /
producer + carnivore + herbivore -+ decomposer
(3) ? m r $ t + ~ - + ~ ~ ~ /
herbivore + carnivore + producer + decomposer
(4) ~ + ~ - + ~ + ~ /
herbivore + producer + carnivore + decomposer.
11. s ~ i i ~ ~ ~
The wings of bird and bat are the example of
(1) 3Ed'Fft &l / vestigial organ (2) .FmF;9 &l / analogous organ

(3) 'Fm;;[m &l / homologous organ (4) @'iti U* / all of these.
12. i i s - ; f ' i t ~ ~ o ~? m m $
In which of the following is nucleoid present ?
(1) W dik7 / Plant cell
(2) / Animal cell
(3) Fkl hdik7 / Green algal cell
(4) df%%I / Bacterial cell.
13. 7 7 ~ 3 ' i T T & ~ ' ? l ~ ~ ~ ~
The group of plants producing naked seeds is
(1) mdFd / angiosperm (2) 'f3J=bd
/ gymnosperm
(31 x m / pteridophyta (4) / bryophyta.

Vti Td ( Rough Work )

S.T.S.E. / 13 - Bio.

Scientist who discovered the free living cells in water is

(1) fkd F / Robert Hooke (2) / Purkinje
(3) ;SiF; / Leeuwenhoek (4) FT$Fl/ Schleiden.

Organism responsible for 'sleeping sickness' is

(1) F F d f & W / Plasmodium (2) &ifk/ Ascaris
(3) &FIli%T / Leishmania (4) f@=hhT / Trypanosoma.
16. ~ T + 3 ~ ~ ~ ~ d F i ' 4 l ~ $

Largest organ and longest organ of the alimentary canal are
(1) WWP4 QTh / stomach and small intestine
(2) rnq / small intestine and liver
(3) = i
3F!T?R / liver and stomach
(4) rn 3Trmm9 / small intestine and stomach.
17. V F F I & ~ C F I ~ W ~ - ~ ' ~ W ~ $
The process that takes place in the cytoplasm, during respiration is
(1) * + * w ~ + ~ + d /
Glucose -t carbon dioxide + water + energy
(2) Fj$T +WTdZ / Glucose + pyruvate
(3) ¶Td7 +* 3TEFI + 3Sif / F'yruvate + lactic acid + energy
(4) 4 +*qJTlmFmS + m+d/
Fyruvate + carbon dioxide + water + energy.

T K & [ Rough Work )

S.T.S.E. /13 - Bio.

18. T F 7 d ? b ~ & ~ 3 i ? i ~ f l i j t %

Correct sequence of excretory organs in human excretory system is

(1) W*F + V W T r n + T m + T d/
one pair of kidneys + one pair of ureters + urinary bladder + urethra
(2) w*~+Tm+Td-,vmT*/
one pair of kidneys + urinary bladder +urethra +one pair of ureters

(3) ymm - + T d+w*m+V*T* /
urinary bladder +urethra + one pair of kidneys + one pair of ureters

(4) T ~ P ~ + W + ~ T * + ~ + W ~ F + /
Urethra + one pair of ureters + uninary bladder + one pair of
kidneys.
19. 7 ? b % F k k * $ V d l ~ i h %
Disease which may be caused by sexual contact is
(1) W9 ih / Tuberculosis (2) / AIDS
(3) W / Wart (4) ZIWTF / ?Srphoid.

20. * ~ 3 ~ ~ m r n T F i ~
In human if epiglottis is destroyed then

(1) VFl Tfki Ti? 77 W 3 / Rate of respiration will decrease
(2) Ti777 Ti? 77 / Rate of respiration will increase
(3) 33 -38 $h'/l Diffusion of gases will not take place
(4) oih;r WWI* 3 adm TX Thl / Food will enter in the trachea.

T 9 i ( Rough
~ Work )

S.T.S.E. / 13 - Bio.

21. + f 3 ? 3 ~ ; m s f e n $ ,dih
Biogas is a n excellent fuel, because
(1) ~ & ~ m 3 m d $ ~ ~ ~ . m m /
there remains no residue like ash after burning
(2) W R FkT W % / its heating capacity is high
(3) $33736h TMRl% Fki 3 $ / it is used for lighting
(4) $f 3 oft / all of these.
22. * - i t ~ m n . ~ n s ~ 3 l i * ~ ~ m ?l 3 ~ m B
Which organelles maintain pressure equilibrium in plant cells ?
(1) Y
I* / Mitochondria (2) m*
/ Vacuoles
(3) FiW5 / Plastids (4) 7Fhh / Ribosomes.
23. f % 4 3 t ' & - 3 ~ & ~ $ * ~ ~ m 4 1 T i W $ ?
Which of the following group of animals has exoskeleton ?
(1) W m 3 3TR7 / Arthropoda and Amphibia
(2) 3 V F R q / Amphibia and Reptilia
(3) FR q 3VW7 / Pisces and Amphibia
(4) W* q / Arthropoda and Pisces.
24. ~ ~ T ? ~ * ~ T k T ?
The phylum of animals having pseudocoelom is
(1) / Mollusca (2) / Annelida
(3) f%$dXI/ Nematoda (4) CI- / Echinodermata.
25. p T ~ ~ ~ ~
Hormones secreted by testes and ovaries are respectively
(1) %&&h q V@T / Testosterone and oestrogen
(2) V@T q / Oestrogen and testosterone
(3) q / Insulin and oestrogen
(4) &&5?& q / Testosterone and insulin.
7R' d ( Rough Work )

S.T.S.E. /13 - Bio.

STSE/13 - Math.

4. *
( ~ T k Z R l * 2 5)
MATHEMATICS
( Question Nos. 1 to 25 )

Decimal form of the fraction is

The value of denominator when decimal fraction 0.0875 is represented in
fraction form is

If 3 x + y + z = O , thenvalueof 2 7 x 3 + y 3 + z 3 is

(3) 3xyz (4) 9xyz.

TW 3id ( Rough Work )

S.T.S.E. / 1 3 - Math.

Quadratic polynomial whose zeroes are 1 - <
2 and 1 + .\r2 respectively
from the following will be

1
A fraction becomes when 1 is subtracted from the numerator and it
becomes $ when 8 is added to its denominator. The fraction will be

The roots of quadratic equation 4x2 + kx + 9 = 0 are equal. The value of
k will be

'FFi Td ( Rough Work )

S.T.S.E. / 13 - Math.

First and last terms of a n arithmetical progression are 10 and 34

respectively. If common difference is 2, then sum of the series will be

In A.P. 3, 8, 13, ...... , 153, 20th term from last term towards first term
will be

Areas of two similar triangles are in the ratio 16 : 49. The sides of these

triangles are in the ratio

7Vi a i d ( Rough Work )

S.T.S.E. /13 - Math. [ P.T.O.

(1) 2 cos 9 (2) 2 cosec 0

(3) sin 8 (4) 2 s e c 2 8 .

A tree breaks due to storm. The broken part bends so that the top of the
tree touches the ground making a n angle of 30" with it. The distance
between the foot of the tree to the point where the top touches the
ground is 8 metre. The height of the tree will be

1 - tan 30"
12.
1 +tan230"
=mm$
1 - tan2 30' .
The value of 1s
1 + t a n 2 300

(1) cot 60' (2) tan 60"

(3) sin 60" (4) cos 60".

TrFi ( Rough Work )

S.T.S.E. /13 - Math.

13. 4ft 0 5 0 5 x * cos0~f;lW791;16
If 0 < 0 < n, then greatest value of cos 0 is

(1) 1 (2) .\b
(31 0 (4) - 1.

14. - * A ( k , 3 ) , B ( 6 , - 2 ) &7 c ( - 3 , 4 ) & ? , d k W W 7 & T
If points A ( k, 3 1, B ( 6, - 2 ) and C ( - 3, 4 ) are collinear then value
of k is

(1) - 3.0 (2) - 1 . 5

(3) 1.5 (4) 3.0.

15. T ~ ? A B ~ W ~ T
( 2 ,M ) b
- 5T ~ , ~~ f i l = m % & @%*
~
(1, - 4 ) ? , d A % I % h h ~

If AB is a diameter of a circle whose centre is ( 2, - 5 ) and co-ordinates
of the point B are ( 1, - 4 1, then co-ordinates of A will be

(1) ( 3 , - 6 ) (2) ( 3 , 6 1
(3) ( - 3 , 6 ) (4) ( - 3 , - 6 ) .
16. 6 + 3 ~ ~ f i l S t ~ r r n ~ 7 m x i 2 - W ~~ ~w ~ m
~ m d ~ ?
~ F ? i * ~ ~
A solid cube of side 6 cm is cut into solid cubes of side 2 cm. The
number of cubes thus formed will be

(1) 24 (2) 27
(3) 36 (4) 64.

V6 ( Rough Work )

S.T.S.E. / 13 - Math. [ P.T.O.

If the diameter of a solid sphere is decreased by 25%, then its curved
surface area will be decreased by

(1) 43% (2) 75%

18. f i ABC*
~ ~ 3 B8C , C A ~ ATB % rle4 f%?$ RWI: D, E ~ F?
T I
AABC m h : A D E F W ~ ~

The middle points of the sides BC, CA and AB of the triangle ABC are D,
E and F respectively. Area of A ABC : Area of A DEF is

The curved surface area of a cone is 308 cm and slant height is 14 cm.
The total surface area of the cone is

(1) 154 c m 2 (2) 308 c m 2

(3) 462 cm (4) 624 cm 2.

V5 ( Rough Work )

S.T.S.E. / 1 3 - Math.

A chord of a circle is equal to the radius of a circle. The value of the angle
subtended by this chord at any point of minor arc will be

(1) 180' (2) 150"

(3) 120" (4) 60'.

m~%dr37mm3;ffwm-Fmm$*dm:
6 c m 8k 8 c m $ 1Tf?dlddT&'3??
4crng$,?jt%*$f%figezl$$

The lengths of two parallel chords which are situated a t opposite sides of
the centre of a circle are 6 cm and 8 cm respectively. If the distance of
the small chord from the centre is 4 cm, then distance between both the
chords will be

(1) 7 cm (2) 5 cm

[3) 4 cm (4) 3 cm.

22. P 5P
5 c m m d ~ g ~ % i % ~ ~ P o?
P ?+
Q ~ ~T & ~ ~ T $ I
~ m w m W $ f $ ; p1 2~c m=?jt O O Q * ~ $
A tangent PQ to a circle of radius 5 cm on point P meets the line passing
through centre 0 a t Q. such that PQ = 12 cm. Then the length of 08 is

(1)' m c m (2) 17 cm
[3) 13 cm (4) 12cm.

V+i='id
( Rough Work )

S.T.S.E. /13 - Math.

The marks of eight students from 10 are the following :

2,7,5,0,8,10,3,4

The median of these marks will be

(1) 5 (2) 4.5

A lot of 40 bulbs contain 5 defective ones. One bulb is drawn a t random
from the lot. The probability of this bulb to be not defective will be

25. w W 3 t'm3tjT mii it'? 1 * w W 3 * ~ ; i t F i t % f + m d $ t
arftr;f;m,Vrn+kf+mh4arftr;f;m4~%d
x t w *

A bag contains 8 red and x blue balls. If the probability of drawing a blue
ball is twice the probability of drawing the red ball, then the value of x is

(1) 8 (2) 10

(3) 12 (4) 16.

Vfi & ( Rough Work )

S.T.S.E. /13 - Math.

5. w-mm
( TQT-fiwrld25 )
DAY TO DAY SCIENCE
( Question Nos. 1 to 25 )

Which of the following is semi-conductor ?

(1) c (2) p

(3) Ge (4) Al.

2. * @ ~ f $ ; F I f % ~ ~ l ~ 3 3 % i ~ f ; l T 15%TJFT%
k9l ?

Which of the following binary numbers is equivalent to number 15 ?

(1) ( 1111 (2)

(3) ( 1101 2 (4) ( 1 1 1 0 ) 2 .

3. m ~ r n ~ m m ~ ~ ?
On which day we celebrate Science Day every year ?

(1) 283FW3 / 28th January (2) 28 d / 28th February

(3) 28 / 28th October (4) 28 / 28th September.

7% Tid ( Rough Work )

S.T.S.E. /13 - D to D [ P.T.O.

*

-
4. m m s.1. m
The S.I. unit of temperature is

(1) / Centigrade (2) / Reaumur
(3) / Fahrenheit (4) &f%7 / Kelvin.

Gravitational acceleration is maximum

(1) pedt % %5 QT / at the centre of earth

(2) +'& T. / at poles

(3) Y W h
lR' / a t equator

(4) 4 / in sea.
6. ~Wrn%$mm+rn%mim;lw~~fi%
The feeling of coolness on putting petrol on palm is due to

(1) / vaporisation (2) FhFI / condensation

(3) / distillation (4) 37dWiT / sublimation.

Chemical formula of marble is
(1) CaCO (2) CaO

T6 d ( Rough Work )

S.T.S.E. /13 - D to D

Which particles attack on uranium in nuclear fission ?

(1) / Neutron (2) .Silii;l / Proton

(3) &3$h / Electron (4) a m / a-particle.

9. mh4-m 4 o a e n v m y ~ k m18 $,a'rv6?=@4*+ft

Atomic mass of argon is 40 and its atomic number is 18. Number of

neutrons in it is

The gases produced in gobar gas along with methane is

(1) c o 2 a e n ~ , ~ / ~ ~ , a n d ~ 2 ~

(2) C 0 2 ? i V S 0 2 / C 0 2 a n d S 0 2

(3) H 2 S a ~ S 0 3 / H 2 S a n d S 0 3

(4) S O z ? i V S 0 3 / S O z a n d S 0 3 .

Vfi d ( Rough Work )

S.T.S.E. /13 - D to D [ P.T.O.

The biochemical obtained by photosynthesis in plants by the use of CO

is
(1) Ji%h / protein (2) W3' / nucleic acid
(3) W / fat (4) 3 d U & Z / carbohydrate.
12. * ~ ? 3 l w I m & * u ~ ~ 3 i i 230 % * @ m i t m d r i t 3 *
&a
If all the sides of a rectangular field are increased by 20%. then the area
will be increased by
(1) 20% (2) 24%
(3) 40% (4) 44%.
13. m b f l @ ~ k W 3 * d l l h ; t ' ¶ 7 d ? l s f t 2~ 6 0 r i h d
w d 24*3¶I&?,?hkPT@* YT4l$$Fh
A train passes through a signal pole in 11 seconds. If it passes through a
platform of 260 m length in 24 seconds, then the length of the train will
be
(1) 220 m (2) 230 m
(3) 240 m (4) 250 m.
14. * l l + ? i ~ f ; l ~10T;oi5)& l o + ? i ~ i % F Tl ~l T ; o $ , d r ~ o ~ ~
If cost price of 11 pens is Rs. 10 and sale price of 10 pens is Rs. 11,
then profit will be
(1) 10% (2) 11%
(3) 21% (4) 100%.

-rP; Td ( Rough Work )

S.T.S.E. /13 - D to D

In an examination the question paper contains 25 questions. Each correct
answer carries two marks and for every wrong answer 1 mark is

deducted. If a n examinee got 37; marks then the number of wrong

answers will be

A postman delivers a letter a t a distance of 34 m away from the post
office in the South. From there he delivers another letter by going 48 m
in the West. At the end he delivers the third letter by going 20 m in the
North. The straight distance of the postman from the post office to this
place will be

V5 Td ( Rough Work )

S.T.S.E. / 13 - D to D [ P.T.O.

( 40

17. m & f i f ? 1 ~ ~ ~ v 8 k M %
35Tihfqmol5vstjTVl;awq~1a
2:3
$ ~ f s m o l ~ ~ ~ ~ m q T I a m d & ~ ~ ~ q v
The ratio of milk and water taken for tea is 2 : 3 in a mixture of 35 litres.
To make the ratio of milk and water equal the quantity of milk that will be
added is

(1) 5 litres (2) 7 litres

(3) 10 litres (4) 21 litres.

18. ~ $ ; F I ~ % * T ~ ~ ~ ~ F ~ ~ w? ~ # w & I ? $

Which species of bees have high honey collection capacity ?

(1) rnd T h / Apis dorseta
(2) f$ks?;hif / Apis Jorae

(3) @?W / Apis rnellijera

(4) @
f! 4 h $ h T / Apis cerana indica.
19. ~ ~ ~ o l q w * ~ ~ *
Group of micro-nutrients in nutrient management is

(1) F h , m,rn / iron, manganese, copper
(2) m,m, ?
' l%%Pl / nitrogen, phosphorus, potassium
(3) TZki, dFT, fhh/ nitrogen, iron, manganese

(4) m,TZh7, rn / iron, nitrogen, copper.
Vti %d( Rough Work )

S.T.S.E. /13 - D to D

Bottom feeder fish is

(1) / Catla (2) TITI d / Grass Carp

(3) *d / Common Carp (4) d / Silver Carp.

21. ' T d w h ' m *

'Country of winds' is

(1) * / Denmark (2) & / Germany

(3) oTTm / India (4) VTl / Japan.

If the soil is very much depleted from nitrates, the plants growing there

will be deficient of

(1) TFI * / Water (2) 3+&%$$ * / Carbohydrates

(3) FWl d / Minerals (4) $R%ld/ Proteins.

TW 7m$( Rough Work )

S.T.S.E. /13 - D to D

( 42

23. d 7 & 3 F h q @ X M I ~ k ~ % ?

What is used for making solar cells ?

(1) l%CW?h W / Silicon (2) / silver

(3) 7f;l / Aluminium (4) W / Silica.

24. ~ ~ Y $ T T $ t ; - * ~ T T ? f * % $ * ~ ~ d , ~ ~ ~ ~
rnwmwm*
If the number of holes in ozone layer increases in the atmosphere due to
air pollution, its effect on the earth surface will be

(1) 3 $5 / increase in air pollution
(2) 7TWIFI 3 $5 / increase in temperature

(3) d 3 $% / increase in rainfall
&d3
(4) W%R?f%di / increase in reflection of ultraviolet
rays.

25. m ' d T T I ; m m $

Sphygmomanometer is used to measure

(1) $q TFl / blood pressure

(2) q$IT / diabetes
(3) / fever
(4) VXWI TB /osmotic pressure.

7% a;rd ( Rough Work )

S.T.S.E. /13 - D to D

s.fBSm--msm
(TiTTFbTl*25 )
GENERAL KNOWLEDGE REGARDING SCIENCE
( Question Nos. 1 to 25 )

1. ~ ~ t ' o r r f t ~ i % *
In Rajasthan the heavy water plant is located at
(1) / Jaipur
(3) TERiWZI / Rawatbhata
(2)
(4)
*
*q
/ Shri Ganganagar
/ Jodhpur.
2. E.C.G. 4 m agajTd 3
In E.C.G. we use
(1) ai?' / Sonic waves (2) W?W T?l / Ultrasonic waves
(3) XEfWl TJ?i / Infrasonic waves (4) X-f%8/ X-rays.
3. *mmF;Im*
The time of revolution of a geostationary satellite is
(1) 6& / 6 hours (2) 12& / 12 hours
(3) 24& / 24 hours (4) 48& / 48 hours.
4. * m m ; l = k Wm*2
kW
The value of solar constant in - is
m2
(1) 0.458 (2) 0.746
(3) 0.931 (4) 1.4.
5. r n ~ 4 r n ~ $ ! 3 ~ 3 i i & ? ~ & ~ T ~ m
+ R~ ~ f i l & r ~
Two bodies of masses rn and 4rn have equal kinetic energy. The ratio of
their momentum will be
(1) 1 : 4 (2) 4 : 1
(3) 1 : 2 (4) 2 : l .

TF ( Rough Work )

6. TaWWkWamsF;rdTl%
Temperature of normal body is
(1) 37°C (2) 56.2"C
(3) 98.6"C (4) 102°C.
7. l ~ ~ m r n ~ ~ r ? m r
The value of 1 electric unit in joule will be
(1) 3.6 (2) 3.6 lo3
(3) 36 l o 5 (4) 3 6 x l o 6 .
8. ?aTrm~rnm~mh*
The gas which produces greenhouse effect is
(1) CO, (2) CO

-
(3) S O 2 (4) NO.

In case of depletion of marine fish stocks, the culture used to meet its
demand is called
(1) FR%6FX / Horticulture (2) 'FdhFX / Farmiculture
(3) %JhZT7/ Mariculture (4) / Agriculture.
1 0 . 3 i t 3 m m a w m m W 3 % m ~ ~
Responsible for depletion of ozone layer is
(1) JE+TV / Ultraviolet light
(2) / Chlorofluorocarbon
(3) WX%l J%TV / Infrared light
(4) W3 ?p /iSmoke produced by combustion of petrol.

Antibiotic is effective on
(1) % d f W I FkF4T 'R / bacterial infection
(2) WpJ FkF4T T / viral infection
(3) W ?F l / both bacterial and viral infections
' ?i YbXQ'R
(4) U* F F R % T$Wi%d WT77 T / alI types of microbes and virus.

T9i ~( Rough Work )

S.T.S.E. /13 - GK

Biogas is a n excellent fuel because it contains
(1) 80%- / 80% nitrogen
(2) 7 5 % m f?/* up to 75% methane
(3) 75%- / 75% hydrogen
(4) 80% 5% & K h I / up to 80% oxygen.
13. FQ@hhh~(AIDS) PFhf??l7'8~$
Microbial disease AIDS is not transmitted by
(1) ?%G% &4 / Sexual contact
(2) Vf?i FT7klVl4 / Blood transmission
(3) R7¶7 3 / Breast feeding
(4) FTel f&d 3 / Handshake.
14.
In the given figure the length of string of the kite will be

T5 Td ( Rough Work )

S.T.S.E. / 1 3 - GK [ P.T.O.

15. md%$fffl3Fbi@?l
In the given figure, the number of quadrilaterals will be

The radii of the ends of a frustum of the given cone are 28 cm and 7 cm
respectively. If the height of this frustum is 45 cm then its volume will be

(3) 48520 c m 3 (4) 48530 cm 3.

TrFi 3iTd ( Rough Work )

S.T.S.E. / 1 3 - GK

17. ' f % Q t T t T f ~ $ d F F T f r f ~ $ & ~ e r l i % @ i d f % T E T T K d
ABCD, EFGH, PQRS & K L M N V ~ $, 3 hA B C D : hKLMN
73Tn
As shown in the figure four squares ABCD, EFGH. PQRS and KLMN are
formed by joining the mid-points of sides of each square, then
Area ABCD : Area KLMN will be

(1) 8 : 1 (2) 1:8
(3) 1 6 : l (4) 1 : 16.
18. mid%lih?i
Viral disease is
(1) / Influenza (2) h/ Cholera
(3) V 8 h / Malaria (4) V f h / Tuberculosis.
19. ~ : F n d t ~ % S l ' l 8 l ~ d ~ d ? @ T ? i
The gland which works both a s endrocine and exocrine is
(1) / Pituitary (2) T i @ C / Thyroid
(3) V&W / Adrenal (4) 3Tr;qmm / Pancreas.
20. ms-**$mmFT4$
The enzyme which converts starch into sugar is
(1) V$$hFh / hydrolygase (2) P ? 7 7 / amylase
(3) ?Vh/ lipase (4) -' / nuclease.
7K %d
( Rough Work )

S.T.S.E. /13 - GK

The autotrophic mode of nutrition requires
(1) &XT$37&tl$X / carbon dioxide and water
(2) Fd@+F/l chlorophyll
(3) ?@ ;dYFJ?l / sunlight
(4) 4 V* / all of these.
22. *mff,f?Wfiq**-~~1mm41mr* ?
Which of the following elements is found in the thyroxine hormone ?
(1) Firn / Iron (2) 7 h / Copper
(3) qW6 / Sulphur (4) ?.T&& / Iodine.
23. ~ ~ ~ ~ ~ f ' & R T d f B ; T l ; t ~ f $ i 9 1 e l ~ ?
Who proposed the Natural selection theory of evolution ?
(1) d T h i 3 / De Vries (2) FFFk 3 / Lamarck
(3) Xl'?h 3 / Darwin (4) m? / Weismann.
24. ? ? F 7 ~ ~ d + ~ & & h : T ? t 7 d * ~ T ! f %?
Which of the following is not ultimately derived from solar energy ?
(1) *T 4 T / Biomass
(2) FFI 4 / Wind energy
d / Nuclear energy
(3) ;flf%fR 3
(4) d / Geothermal energy.
25. ~ ~ ~ ~? ~
What does the N fixing bacteria gain from leguminous plant in their
symbiotic relationship ?
(1) Jjtih / Proteins (2) T$&Q / Nitrates
(3)H - / Carbohydrates (4) / Ammonium.

T9i 3 d ( Rough Work )

S.T.S.E. /13 - GK