SAMPLE PAPER INSTRUCTIONS

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1 CODE - A SAMPLE PAPER Time : :0 hurs. (Class X) 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 60 questins.. The questin paper cnsists f Fur Parts Mathematics (Q.N. 1 t 0), Physics (Q.N. 1 t 5), Chemistry (Q.N. 6 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-SAT017_SAMPLE PAPER_X/S-A [] (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 Let x, y be the slutin t the fllwing system f equatins : (a b) x (a b) y a ab b (a b)(x y) a b Then, the value f xy is equal t ab ab ab ab Q. 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 ct( ) 0, then sin( ) can be sin sin cs cs Q.4 The uter radius and inner radius f a 0 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). 0gm / cm and 0 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 ,

3 V-SAT017_SAMPLE PAPER_X/S-A [] Q.5 The p th term f an AP is a and its q th term is b. The sum f the first (p q) terms f the AP is p q a b (a b) p q p q a b a b (p q) p q a b (a b) p q p q a b a b p q Q.6 Find the cnditin t be satisfied by the cefficients f the equatin rati : 4. px qx r 0, s that the rts are in the 1q 49pr 1q 49pr 49 q 1pr 49q 1pr Q.7 The rts f the equatin 4x 5 x 1 0 are sin 6, sin18 sin18, cs6 sin6, cs18 cs18, cs6 Q.8 If each side f triangle ABC is length 4 and if AD is 1 cm and ED AB. What is area f regin BCDE B D A E C 8 cm 4 cm 4.5 cm.5 cm 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-SAT017_SAMPLE PAPER_X/S-A [4] Q.9 Find the sum f t 15 terms Q.10 Cnsider the equatin the rts f the equatin? ax bx c 0. If a and c are f ppsite signs, what can yu say abut the nature f Real and unequal Real and equal Nn-real Nthing can be said -the infrmatin is insufficient Q.11 The arithmetic mean f the series n 1 1,,,... is. n n n 1 n n 1 n 1 Nne f these Q.1 Which f the fllwing are the rts f y y 1 0? (a) 4 (b) 4 (c) Bth (a) and (b) Bth (c) and (b) (a), (b), (c) and (d) Nne f the abve 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-SAT017_SAMPLE PAPER_X/S-A [5] Q.1 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.14 Given 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 ). Find the value f a b c. 1 4 Q.15 Let, be the rts f ax bx c 0 and, be the rts f gemetric prgressin, which f the fllwing is true? px qx r 0. If,,, are in a c p r b q ac b pr q acb ac pr prq b q 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-SAT017_SAMPLE PAPER_X/S-A Q.16 A circle tuches side BC f ABC at P, and sides AB and AC prduceed at Q and R respectively. If l is the perimeter f ABC, the [6] l AQ l AQ l AQ l 4 AQ Q.17 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 ). r 4 4 r r 4 r Q.18 What is the vlume f a hemispherical shell f uter radius r cm and thickness 1 cm? (r r 1)cm (r r 1)cm (4r r 1)cm (4r r )cm Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

7 V-SAT017_SAMPLE PAPER_X/S-A [7] 000 Q.19 Given that lg() , the number f digits in the number 000 is Q.0 The cst f puffs, 14 cups f cffee and 5 pizzas is Rs 56. The cst f 0 puffs, 7 cups f cffee and is 15 pizzas is Rs 80. Find the cst f 8 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 ,

8 PART - II (PHYSICS) V-SAT017_SAMPLE PAPER_X/S-A [8] (SINGLE CORRECT ANSWER TYPE) This sectin cntains (1-5) multiple chice questins. Each questins has fur chices,, and ut f which ONLY ONE is crrect. Q.1 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 8 10 erg 8 J erg Q. If in the circuit, pwer dissipatin is 150 W, then R is R 15V Q. A current flws in a cnductr frm east t west. The directin f the magnetic field at a pint abve the cnductr is twards nrth twards suth twards east twards west Q.4 Cmmn mderatr used in nuclear reactr is brn uranium graphite cadmium Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

9 Q.5 Which f the fllwing is nt a unit f frce? V-SAT017_SAMPLE PAPER_X/S-A [9] Dyne Kg m s g cm s Kg m s Q.6 Ech is prduced due t : reflectin f sund resnance refractin f sund Nne f these Q.7 The S.I. unit f magnetic field intensity is - Weber Tesla Oersted Gauss Q.8 What frce is needed t speed up a frictinless 60 kg cart frm 4 m/ s t 6.5 m/ s in.0 secnd? 50 N 100 N 5 N 0 N Q.9 An bject 0 cm frm a spherical mirrr gives rise t a virtual image 15 cm behind the mirrr. The type f the mirrr and its fcal length is cncave, 8.5 cm cnvex, 0 cm cncave, 60 cm cnvex, 60 cm Q.0 The area under the velcity-time graph and time axis gives the value f : velcity acceleratin distance displacement Q.1 Tw resistances 1 and are cnnected in series and then in parallel. The rati f the effecitive resistance f series and parallel cmbinatin f resistances is : 9 9 : : 1 1: 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-SAT017_SAMPLE PAPER_X/S-A [10] Q. A current f A passing thrugh cnductr prduces 80 J f heat in 10 secnds. The resistance f the cnductr is Q. The atmsphere is held t the earth due t : Q.4 If Winds Cluds Gravity Rtatin f earth electrns are remved frm a neutral bdy, the charge acquired by the bdy is C C C C Q.5 A car is mving with a cnstant speed f 0 m/s against a resistance f 100 N. The pwer exerted by the car is kw 5 W 00 W 1 kw Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

11 PART - III (CHEMISTRY) V-SAT017_SAMPLE PAPER_X/S-A [11] (SINGLE CORRECT ANSWER TYPE) This sectin cntains (6-50) multiple chice questins. Each questins has fur chices,, and ut f which ONLY ONE is crrect. Q.6 Which ne f the fllwing sets f quantum numbers represents an impssible arrangement? n l m s n l m s 1/ / 1/ 5 0 1/ Q.7 The pstulates f Bhr's atmic mdel are given belw. Arrange them in the crrect sequence. (a) 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. (b) (c) (d) 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. (e) 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 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-SAT017_SAMPLE PAPER_X/S-A [1] Q.8 Hw many ttal prtns are fund in ne mlecule f retinal (C0H0O)? Q.9 The graph shws the temprature change f slid 'A' ; 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. 90 C? 90 C rm temperature Slid 'A' is a pure substance. Slid 'A' is has a fixed melting pint. time A nly A & D A, B & D A, C & D Q.40 In Rutherfrd's experiment a small fractin f -particles are scattered at small angle, because -particles are attracted by a negatively charged particle -particles are pushed away by heavy nuclear regin -particles are repelled by psitively charged regin -particles are attracted by psitively charged regin Q.41 Inic bnd frms between tw highly electrnegative elements tw highly elecgtrpsitve elements element having high electrnegativity and element having high electrn affinity element having high electrnegativity and element having lw inizatin energy Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

13 Cmprehensinv (Fr Q. N. 4 t Q.N 44) V-SAT017_SAMPLE PAPER_X/S-A [1] 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 K w is the inic prduct f water which is equla t prduct f H and OH cncentratin at a particular temperature. 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 ) 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-SAT017_SAMPLE PAPER_X/S-A [14] Q.4 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.4 At 60 C, if water has [H ] 16 5 mle/litre, then the slutin will be Acidic Basic Amphteric Neutral Q.44 Nw if.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 5.5, H 1)? Q.45 An element has the cnfiguratin 6 1s, s, p,s, p. T which blck f the Peridic Table, des this belng? s-blck p-blck d-blck f-blck Q.46 The electrns, identified by quantum numbers n and l. n 4, l 1. n 4, l 0. n, l and V. n, l 1 The crrect rder f increasing energy fr electrns is IV II III I II IV I III I III II IV III I IV II 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-SAT017_SAMPLE PAPER_X/S-A [15] Q.47 "Chemical bnding is the phenmenn f redistributin f electrn." Which f the fllwing is incrrect regarding this? Redistributin f electrns tend t attain nearest nble element electrnic cnfiguratin fr all the cn cerned atms Chemical bnding lwers the energy f cmbining atms Chemical bnding results int a hmgeneus mixture Chemical bnding may invlve transference r sharing f electrn Q.48 The number f mlecules in 5.65 g f ammnia is apprximately x 10. What is the value f x? 4 1 Q.49 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 Q.50 Which f the fllwing is a crrect graphical representatin f latent heat f fusin f water with respect t temperature? Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,

16 apart - IV (MENTAL ABILITY) V-SAT017_SAMPLE PAPER_X/S-A (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. [16] Q.51 If it was Saturday n 17th Nvember, 196, then what will be the day n nd Nvember, 1964? Mnday Tuesday Wednesday Sunday Q.5 Rwlatt act was passed in Q.5 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? Q.54 Sandip s mther is the nly daughter f Rekha s father. Hw is Rekha s husband related t Sandip? Uncle Brther Grandfather Father Q.55 At which place Cngress sessin f September 190 held. Nagpur Calcutta Lahre Madras Q.56 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 min 11 Lses min 14 Gains min 14 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-SAT017_SAMPLE PAPER_X/S-A [17] Q.57 A cube f 5 cm has been painted n its surfaces in such a way that tw ppsite surfaces have been painted blue and tw adjacent surfaces have been painted red. Tw remaining surfaces have been left unpainted. Nw the cube is cut int smaller cubes f side 1 cm each. Then hw many cubes will have nly tw side painted? Q.58 If ' ' means ' ', ' ' means ' ', ' ' means ' ' and ' ' means ' ', then what will be the value f ? Nne f these Q.59 Find the missing character (?) ? Q.60 Three psitins f the same dice are given belw. Observe the figures carefully and tell which number will cme in place f (?) Space fr rugh wrk An IIT alumni bdy Head Office : 16 & 17, nd Flr, Grand Plaza, Fraser Rad, Dak Bunglw, Patna -01, Ph ,