A TALENT SEARCH EXAM 2017_SAMPLE PAPER

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1 CODE - A nd Editin A TALENT SEARCH EXAM 017_SAMPLE PAPER Time : :30 hurs. (Class X) STAGE - Maximum Marks : 40 Name : Rll N.: INSTRUCTIONS Please read the instructins carefully. Yu are alltted 5 minutes specifically fr this purpse. Yu are nt allwed t leave the examinatin hall befre the end f the test. [A] General : 1. Attempt ALL the questins. Answer have t be marked n the OMR sheets. This questin paper cntains 0 questins. 3. The questin paper cnsists f FIVE Parts Mathematics (Q.N. 1 t 0), Physics (Q.N. 1 t 30), Chemistry (Q.N. 31 t 40), Bilgy (Q.N. 41 t 50) & Mental Ability (Q.N. 51 t 60) 4. Blank spaces are prvided at the bttm f each page fr rugh wrk. N additinal sheets will be prvided fr rugh wrk. 5. Blank paper, clipbard, lg tabes, silde rules, calculatrs, cellular phnes, pagers and electrnic gadgets in any frm are NOT allwed. 6. D nt Tamper / multilate the OMR sheet r this bklet. 7. D nt break the seals f the questin-paper bklet befre instructed t d s by the invigilatr. 8. SUBMIT the OMR sheet t the invigilatr after cmpleting the test & take away the test paper with yu. [B] Filling f OMR Sheet : 9. In all the parts, each questin will have 4 chices ut f which nly ne chice is crrect 10. Use nly Black/Blue ball pint pen fr filling the OMR sheet. 11. On the OMR sheet, darken the apprpriate bubble fr each character f yur name, Registratin N., Phne N. etc. [C] Marking Scheme : 1. Fr each right answer yu will be awarded 4 marks if yu darken the bubble crrespnding t the crrrect answer and zer marks if n bubble is darkened. In case f bubbling f incrrect answer, minus ne (-1) mark will be awarded. Best f Luck

2 PART - I (MATHEMATICS) V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER (SINGLE CORRECT ANSWER TYPE) This sectin cntains (1-0) multiple chice questins. Each questins has fur chices,, and ut f which ONLY ONE is crrect. [] Q.1 If degree f bth f(x) and [f(x) g(x)] is 18, then degree f g(x) can be any ne f these Q. If the LCM f the plynmials the minimum value f a b. 5 a f(x) (x 1) (x ) and b a g(x) (x 1) (x ) a b is (x 1) (x ), then find is 10 is 14 is 15 Cannt say Q.3 Ramu had 13 ntes in the denminatins f Rs 10, Rs 50 and Rs 100. The ttal value f the ntes with him was Rs He has mre f Rs 100 ntes than that f Rs 50 ntes with him. Find the number f Rs 10 ntes with him Q.4 The cst f puffs, 14 cups f cffee and 5 pizzas is Rs 356. The cst f 0 puffs, 7 cups f cffee and is 15 pizzas is Rs 830. Find the cst f 38 puffs and 5 pizzas. (in Rs) Cannt be determined Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

3 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [3] Q.5 Which f the fllwing are the rts f y y 1 0? (a) 4 (b) 4 (c) 3 Bth (a) and (b) Bth (c) and (b) (a), (b), (c) and (d) Nne f the abve Q.6 Find the cnditin t be satisfied by the cefficients f the equatin rati 3 : 4. px qx r 0, s that the rts are in the 1q 49pr 1q 49pr 49 q 1pr 49q 1pr Q.7 Find the sum f t 15 terms i Q.8 Evaluate, where i, 3, Q.9 If tan86 m, then tan176 ct 4 m tan 4 is m 1 m 1 m 1 1 m 1 m 1 m m 1 m 1 Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

4 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [4] Q.10 A balln is cnnected t a meterlgical grund statin by a cable f length 15 m inclined at 60 t the hrizntal. Determine the height f the balln frm the grund. Assume that there is n slack in the cable m m 15 3 m 15 / 3 m Q.11 The fllwing are the steps invlved in finding the value f a when x is a factr f 3x 7x a. Arrange them in sequential rder. (a) 1 14 a 0 a (b) (c) By factr therem, Let f(x) 3x 7x a f() 0 3() 7() a 0 Q.1 Given cba bca cab bac ax bx c is a quadratic plynmial in x and leaves remainders 6, 11 and 18 respectively when divided by (x 1), (x ) and (x 3). Find the value f a b c Q.13 The arithmetic mean f the series n 1 1, 3, 3,...3 is. n 3 n n 3 1 n n 1 3 n 1 Nne f these Q.14 The mean height f 5 bys in a class is 150 cm, and the mean height f 35 girls in the same class is 145 cm. The cmbined mean height f 60 students in the class is (apprximately) Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

5 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [5] Q.15 In the shwn figure, O is the centre f the circle and AD is a tangent t the circle at A. If ADC 5, then ABO CAD 55 and Q.16 In PQR, PQ 6cm, PR 9cm, PR 9 cm and M is a pint n QR such that it divides QR in the rati 1:. PM QR. Find QR. 18 cm 3 1 cm 3 15 cm 0 cm Q.17 The base f a pyramid is an n-sided regular plygn f area 900 cm. Each lateral face f the pyramid has an area f 300 cm. Find n. 360 cm. The ttal surface area f the pyramid is Q.18 The uter radius and inner radius f a 30 cm lng cylindrical gld pipe are 14 cm and 7 cm respectively. It is filled with brnze. The densities f gld and brnze are the cylinder frmed.(in gm) gm / cm and 30 gm / cm respectively. Find the weight f Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

6 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER Q.19 In the fllwing figure, a circle is inscribed in square ABCD and the square is circumscribed by a circle. If the radius f the smaller circle is r cm, then find the area f the shaded regin (in cm ). [6] r r r 4 r Q.0 The Independence day f India in 007 was celebrated n a Wednesday, then Children's day in 008 was celebrated n a. Friday Saturday Sunday Mnday Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

7 PART - II (PHYSICS) V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [7] (SINGLE CORRECT ANSWER TYPE) This sectin cntains (1-30) multiple chice questins. Each questins has fur chices,, and ut f which ONLY ONE is crrect. Q.1 In the given circuit, the value f ttal current passing will be : V 1.0 A 0.5 A 0. A.0 A Q. The area under the velcity-time graph and time axis gives the value f : velcity acceleratin distance displacement Q.3 Ech is prduced due t : reflectin f sund resnance refractin f sund Nne f these Q.4 Which f the fllwing is nt a unit f frce? Dyne Kg m s g cm s Kg m s Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

8 Q.5 Hw many electrns cnstitute current f ne micr ampere in ne secnd? V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [8] Q.6 The velcity f an bject is direcly prprtinal t the time elapsed, the bject has : unifrm speed unifrm velcity unifrm acceleratin variable acceleratin Q.7 The atmsphere is held t the earth due t : Winds Cluds Gravity Rtatin f earth Q.8 The weight f a blck in air is 60 N. When it is immersed in water cmpletely its weight is 5 N. Buyant frce n the blck is (in Newtns): Q.9 The S.I. unit f magnetic field intensity is - Weber Tesla Oersted Gauss Q.30 A Frce f 4 N acts n a bdy f mass 40 kg fr distance f m. The kinetic energy acquired by the bdy is : 16 J erg 8 J 3 erg Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

9 PART - III (CHEMISTRY) V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [9] (SINGLE CORRECT ANSWER TYPE) This sectin cntains (31-40) multiple chice questins. Each questins has fur chices,, and ut f which ONLY ONE is crrect. Q.31 The number f mlecules in 5.65 g f ammnia is apprximately 3 x 10. What is the value f x? Q.3 Hw many ttal prtns are fund in ne mlecule f retinal (C0H30O)? Q.33 The graph shws the temprature change f slid 'A' ; 90 C rm temperature time Which f the fllwing set f statements is crrect fr slid 'A' at The slid 'A' is underging a change f state. Slid 'A' is an impure substance. Slid 'A' is a pure substance. Slid 'A' is has a fixed melting pint. 90 C? A nly A & D A, B & D A, C & D Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

10 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER Q.34 Acetic acid was added t a slid X kept in a test tube. A clurless and durless gas Y was evlved. The gas was passed thrugh lime water which turned milky. It was cncluded that Slid X is sdium hydrxide and the gas Y is CO. Slid X is sdium carbnate and the gas Y is CO. Slid X is sdium acetate and the gas Y is CO. Slid X is sdium hydrgen carbnate and the gas Y is SO. Q.35 The pstulates f Bhr's atmic mdel are given belw. Arrange them in the crrect sequence. [10] (E) As lng as the electrn revlves in a particular rbit, the electrn des nt lse its energy. Therefre, the rbits are called statinary rbits and the electrns are said t be in statinary energy states. Electrn revlve rund the nucleus in specified circular path called rbits r shells. The energy assciated with a certain energy level increase with the increase f distance frm the nucleus. An electrn jumps frm a lwer energy level t a higher energy level by absrbing energy. But when it jumps frm a higher t lwer energy level, energy is emitted in the frm f electrmagnetic radiatin. each rbit r shell is assciated with definite amunt f energy. Hence these are als called energy levels and are designated as K, L, M, N respectively. a c d e b b c e a d b e c a d b a d c e Q.36 Which amng the fllwing are isbars? b X, Y a a 1 b a b b X, cy X, a b b 1 Y a a a 1 b X, b 1Y Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

11 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER Q.37 Which f the fllwing is a crrect graphical representatin f latent heat f fusin f water with respect t temperature? [11] Cmprehensinv (Fr Q. N. 38 t Q.N 40) A new way f expressing the cncentratin f H ins in slutin is ph. ph is defined as the negative lgarithm t base 10 f H in cncentratin. ph lg [H ], where [H ] represent the cncentratin f H ins in mles per litre. 10 Pure water is cnsidered neutral as it dissciates t give equal cncentratin f H and OH ins as fllws H O H OH. 7 [H ] [OH ] 10 mles per litre at 5 C. 7 As per the frmula, ph lg (10 ) 7, hence ph f water is w K is the inic prduct f water which is equla t prduct f H and OH cncentratin at a particular temperature. Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

12 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [1] At 5 C, Hence, K [H ] [OH ] 10 ml /L 14 w. ph poh 14 (nly at 5 C). 7 Fr an acidic slutin [H ] [OH ] which is numerically greater than 10 ml in / litre (at 5 C). Lwer the ph value, greater will be the acidic strength f the slutin. 7 Fr a basic slutin [H ] [OH ] which is numerically less that 10 ml in/litre. Thus, ph f a base is always greater than 7 at 5 C. Greater the ph value greater will be the basic strength f the slutin. (lg 10 1; lg 0.1 1; lg 100 ) Q.38 Yu are prvided with fur slutins P, Q, R, S with [H ] values (in ml/litre) as , , and respectively. Which slutin will be mst acidic? P Q R S Q.39 At 60 C, if water has [H ] 16 5 mle/litre, then the slutin will be Acidic Basic Amphteric Neutral Q.40 Nw if 3.65 gm f HCl is added t 1 litre f water (as mentned in Q. NO. 16) What will be the ph f resultant slutin at 60 C (atmic weight f Cl 35.5, H 1)? Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

13 PART - IV (BIOLOGY) V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [13] (SINGLE CORRECT ANSWER TYPE) This sectin cntains (41-50) multiple chice questins. Each questins has fur chices,, and ut f which ONLY ONE is crrect. Q.41 Select the alternative giving crrect identificatin and functin f the rganelle ' A ' in the diagram. Endplasmic reticulum-synthesis f lipids Mitchndria - prduce cellular energy in the frm at ATP Glgi bdy - packaging f material Lyssmes - secrete hydrlytic enzymes Q.4 Which ne f the fllwing rgans is NOT assciated with the alimentary canal? Liver Gall bladder Diaphragm Cln Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

14 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [14] Q.43 Given is a table descibing the scial rganizatin f Hney bees. Which f the fllwing is a crrect match f the descriptin f hney bees? Types f Hney Bees Descriptin I Female hney bees which prepare hney. Drne II Fertile female which lays eggs. Queen III Sterile males which lk after the yung nes, cllect nectar and pllen. Wrker I and II are crrect I and III are crect Only II is crrect II and III are crrect Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

15 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [15] Q.44 Cmpare the mvement f substances in xylem and phlem tissues. Feature Xylem Phlem Material transprted Water and minerals I Prcess f mvement Name f relevant thery II III, IV Translcatin Mass flw thery Replace I, II, III and IV with the apprpriate wrds. I - sucrse, II-asent f sap, III - rt pressure thery, IV-guttatin I - starch, II - ascent f sap, III - guttatin, IV - transpiratin pull I - sucrse, II-ascent f sap, III-rt pressure thery, IV - transpiratin pull I - glucse, II - pressure flw hypthesis, II - rt pressure thery, IV - adhesin chesin thery Q.45 Tw test tubes are filled with a slutin f brmthyml blud. A student exhales thrugh a straw int each tube, and the brmthyml blue turns yellw. An aquatic green plant is placed in each tube, and the tubes are crked. One tube is placed in the dark, and the ther tube is placed in direct sunlight. The yellw slutin in the tube in sunlight turns blue, while the ne in the dark remains yellw. Which statement best explains why the slutin in the tube placed in sunlight returns t a blue clur? Oxygen was prduced by phtsynthesis. Oxygen was remved by respiratin. Carbn dixide was remved by phtsynthesis. Carbn dixide was prduced by respiratin. Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

16 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [16] Q.46 The anterir pituitary gland facilitates grwth f an individual by release f the human grwth hrmne (HGH) which in turn is regulated by tw hrmnes namely grwth hrmne releasing hrmne (GHRH) and grwth hrmne inhibiting hrmne (GHIH). Imbalance f these hrmnes culd result in gigantism (an individual gains excessive height), dwarfism ( a shrt statured individual) r acrmegaly (thickening f limbs, fingers and tes). Interpret the data given belw and select the apprpriate statement : Individual Age grup Hrmnes 1-5 yrs. Excessive GHRH - 5 yrs. Nrmal GHRH yrs. Excessive GHRH yrs. Excessive GHIH 5-5 yrs. Excessive GHIH 1 and 3 will lead t gigantism while 4 and 5 will shw dwarfism 3 will shw gigantism, 1 will shw acrmegaly and 4 and 5 will shw dwarfism, 3 and 4 will shw nrmal grwth 1 will shw gigantism, 3 will shw acrmegaly and 5 will shw dwarfism Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

17 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [17] Q.47 Part f the respiratry system where gaseus exchange takes place is The parts starting frm external nstrils upt terminal brnchiles Alveli and their ducts All brnchi and terminal brnchiles All brnchiles Q.48 The principal nitrgenus excretry cmpund in humans is synthesized in liver but eliminated mstly thrugh kidneys. in kidneys but eliminated mstly thrugh liver. in kidneys as well as eliminated by kidneys. in liver and als eliminated by the same thrugh bile. Q.49 Given belw are certain feaures. X. One prduces spres, whereas the ther prduces seeds. Y. One is phtsynthetic, whereas the ther is saprphytic. Z. One cntains xylem and phlem, whereas the ther des nt. Find the pair f tw divisins that can represent X, Y and Z respectively A. Mnct and dict B. Algae and fungi C. Ferns and msses D. Ferns and gymnsperms E. Gymnsperms and angisperms X A, Y B and Z D X D, Y B and Z C X E, Y D and Z C X B, Y E and Z A Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

18 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [18] Q.50 Which f the fllwing is an effect f HIV n the human bdy? It reduces the number f erythrcytes in the bld It reduces the number f platelets in the bld It increases the amunt f plasma in the bld It reduces the number f lymphcytes in the bld Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

19 apart - V (MENTAL ABILITY) V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER (SINGLE CORRECT ANSWER TYPE) This sectin cntains (51-60) multiple chice questins. Each questins has fur chices,, and ut f which ONLY ONE is crrect. [19] Q.51 Which ne f the fllwing cuntries fall in the categry f cming tgether federatin? India US Spain Belgium. Q.5 Amng the fllwing which cuntry suffered disintegratin due t plitical fights n the basis f religius and ethnic identities? Belgium India yugslavia Nether lands Q.53 The cngress passed reslutin t begin nn-cperatin mvement in its sessin at Nagpur Bmbay Lahre Calcutta. Q.54 Rwlatt act was passed in Q.55 If ' ' means ' ', ' ' means ' ', ' ' means ' ' and ' ' means ' ', then what will be the value f ? Nne f these Q.56 Imagine a clck where the hur hand makes nly ne revlutin in 1 day (i.e., 4 hr) whereas the minute hand cmpletes ne revlutin in ne hur. What is the angle between the tw hands at 14 : 50 hr as per this clck? Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

20 V-MAT017_TALENT SEARCH EXAM_X_SAMPLE PAPER [0] Q.57 Hw many dd numbers are there in the fllwing number series, which are immediately fllwed by an dd number? mre than 6 3 Q.58 The minute hand f a clck vertakes the hur hand at intervals f 65 min. Hw much in a day des the clck gain r lse? Gains 8 56 min 77 Lses 8 3 min 11 Lses min 143 Gains min 143 Q.59 Six students A, B, C, D, E and F are sitting in the field. A and B are frm Delhi while the rest are frm Bangalre. D and E are tall while thers are shrt. A, C and D are girls while thers are bys. Wh is the tall girl frm Bangalr? C D E F Q.60 Find the missing character (?) ? Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,