HINTS & SOLUTIONS. Admission cum Scholarship Test for SUPER-50. Standard: 10 th (Stage I) Code: EG
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1 Delhi/ Ghzibd /Mumbi/ Pune / Go/ Akol/ Nshik/ Kolktt / Lucknow / Bokro/ Dubi Admission cum Scholrship Test for SUPER-50 Stndrd: 10 th (Stge I) Code: EG HINTS & SOLUTIONS H.O: nd Floor, C-8 & 9, Rj Ngr Gzb, Tel.: / , www. iitinspce.com pcerdc@gmil.com
2 SECTION I (MATHEMATICS) 1. (c) f( 1) = - b + c = 1...(i) f(0) = c = 5...(ii) f() = 4 + b + c =...(iii) by solving (i), (ii) & (iii) we get = 1, b = 6, c = 5 So, + b + c = = 0. (b) + b = p c + d = q b = 1 cd = 1 E = cb c db d = d bcbd c = d b c = c d b = q p. (d) 4. (c) p...(i) q 4 q...(ii) r From (i) nd (ii) q p nd p q p q q p 9 r = b q p...(i) k k c...(ii) r...(iv) p k k q b k p = 1 b q p q k...(iii) p PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI
3 5. (b) x + y = 40 y = 40 - x x = 0, 1,,, 5, 6, 7, 8, 9, 10, 11, 1, 1 ccording to tht find vlues of y. Totl number of solutions re (c) x + y = 4x + 4 y y 4 y x = y x = = 7. (c) = y x + y = x + + y y = () + () = 1 A B C... (i) 1 B A... (ii) 4 o A B C (iii) by solving these A = 10 o 8. (d) tn = 45 o 1 y cos sin Now y 1 sin PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI
4 9. () divide by cos p p q p tn q q p tn q p p q q 10. () x y cos sin 1...(i) b x y sin cos 1... (ii) b Squring both side (i) nd (ii) nd dd the equtions. x y b 11. (b) cos sec squring both side. 1. (c) cos sec 4 Digonl of squre = digonl of circle o 1 r tn 0 r digonl of squre = = = 6 re of squre = 1 digonl PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI 4
5 1. (b) x - bx + 1 = 0 D = b b, 14. (b) 15. () sin + cos = squring both side b nd sin cos sin cos c sin cos b...(i) Put the vlues of sin cos in eqution (i) we will get the desired result. Let is one root nd other root will be 1. Then, 16. () 17. (b) 4 = Then, = 8 x 5 8 X = 1 = 0 y Y = 5 Now, check the options. by section formul = b = PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI 5
6 18. (b) D(x, y) is the mid-point of AB 19. () x = 4 y = 9 6 Find CD by using distnce formul. = p, b = 7q + b = p + 7q minimum vlue of + b is 10. lest prime fctor of + b is 0. (c) Check options by putting n = 1,,, 4, (d) SECTION II (Science) First join P & Q solve the circuit using prllel distribution your will find 4 A current flow from P to Q.. () Prticle moving in line of mgnetic field didn't get deflected. Thus stright line.. (c) 0I B sin 1 sin 4r I 0 o o B sin 45 sin 0 4L I 0 B 4 L PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI 6
7 4. (c) Anlyticl from Flehming's left hnd rule. 5. (c) Force on current crrying loop plced in mgnetic field in outwrds thus it will expnd. 6. (d) The imge formed by convex lens will be cting s n object for concve lens. Thus pply lens eqution two times. 7. () The ry will pss through fce AB undevited but flls on fce AC t ngle (90 o ) For TIR o wter sin 90 4 cos 8 cos 9 glss 8. (c) In series the resistnce = R In prllel the resistnce = R Het generted t constnt voltge H R series prllel 1 H R 4 prllel series 9. (c) Number of imges = o (c) Light is pssing through lens undevited so, 1 = nd in medium light gets diverted but its moves towrds norml so, >. 1. () Electronegtivity order : - F > O > N... (tendency of n tom to ttrct shred pir of electrons towrds itself.). (c) Double displcement rection BCl q N SO q BSO s NCl q. 4 4 PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI 7
8 . (b) HCl, becuse HCl is monoprotic cid. 4. (c) K SO 4 Al. (SO 4 ). 4H O 5. (d) Copper tht is 98-99% pure, produced by smelting. 6. (d) Non-metllic oxides re generlly cidic in nture. 7. (c) group Be - Mg - C - Sr - B - R. 8. (b) Number of element in even number of period = n (d) 40. (c) 41. (c) CnHn. x + = + = d + = g + = j + = m SECTION III (Mentl Ability) 4. (b) 4. (c) Wter Green 44. (b) 4 + = 7, = 7, 4 = 81, = 689 PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI 8
9 45. (d) 46. (b) 47. (d) (45 to 47) Fcing Est FIAT, BEDFORD, MARUTI, AMBASSADOR, FARGO, CADILLAC, MERCEDES 48. (d) 0m North, 50m West, 0m South 49. () Turn 90 o nticlockwise 50. (b) Turn right first hlf prt to superimpose over the remining prt. PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI 9
10 (For Students Currently Studying in Clss 10 th EG) S T A G E I ANSWER 1. (c) 11. (b) 1. (d) 1. () 41. (c). (b) 1. (c). (). (c) 4. (b). (d) 1. (b). (c). (b) 4. (c) 4. (c) 14. (b) 4. (c) 4. (c) 44. (b) 5. (b) 15. () 5. (c) 5. (d) 45. (d) 6. (c) 16. () 6. (d) 6. (d) 46. (b) 7. (c) 17. (b) 7. () 7. (c) 47. (d) 8. (d) 18. (b) 8. (c) 8. (b) 48. (d) 9. () 19. () 9. (c) 9. (d) 49. () 10. () 0. (c) 0. (c) 40. (c) 50. (b) PACE IIT & MEDICAL: DELHI / MUMBAI / AKOLA / NASHIK / GOA / PUNE / KOLKATA / LUCKNOW / PATNA / NAGPUR / DUBAI 10
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