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Signature and Name of Invigilator
1. (Signature)
(Name)
2. (Signature)
(Name) PAPER - III
COMPUTER SCIENCE AND
APPLICATIONS
Time : 2½ hours] [Maximum Marks : 150
    16     75
Instructions for the Candidates
         

           
  
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page. Faulty booklets due to pages+questions missing
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discrepancy should be got replaced immediately by a
correct booklet from the invigilator within the period
of 5 minutes. Afterwards, neither the Question Booklet
will be replaced nor any extra time will be given.
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J-8715 !J-8715-PAPER-III! Paper-III
COMPUTER SCIENCE AND APPLICATIONS
PAPER - III
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5 Paper-III
J-8715 !J-8715-PAPER-III!
18. 2   
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6
J-8715 !J-8715-PAPER-III! Paper-III
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7 Paper-III
J-8715 !J-8715-PAPER-III!
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8
J-8715 !J-8715-PAPER-III! Paper-III
39. (    )
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9 Paper-III
J-8715 !J-8715-PAPER-III!
47. 5;  7   
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10
J-8715 !J-8715-PAPER-III! Paper-III
52. ;   E   
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11 Paper-III
J-8715 !J-8715-PAPER-III!
57. ?    «  *(S# =+
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12
J-8715 !J-8715-PAPER-III! Paper-III
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13 Paper-III
J-8715 !J-8715-PAPER-III!
66. ?  3  /# #     #  
 
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14
J-8715 !J-8715-PAPER-III! Paper-III
69. H          
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15 Paper-III
J-8715 !J-8715-PAPER-III!
73. 2    1    
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16
J-8715 !J-8715-PAPER-III! Paper-III
Space For Rough Work
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NTA-NET-Computer-Science-Paper-3-June-2015.pdf

  • 1. Signature and Name of Invigilator 1. (Signature) (Name) 2. (Signature) (Name) PAPER - III COMPUTER SCIENCE AND APPLICATIONS Time : 2½ hours] [Maximum Marks : 150 16 75 Instructions for the Candidates ! # $ ! % ' ( ) ! * ! ! ! ' Tally the number of pages and number of questions in the booklet with the information printed on the cover page. Faulty booklets due to pages+questions missing or duplicate or not in serial order or any other discrepancy should be got replaced immediately by a correct booklet from the invigilator within the period of 5 minutes. Afterwards, neither the Question Booklet will be replaced nor any extra time will be given. ' ) ! , -./0 -./0 , ) ! 1 2 !' ' ' 1'3 ! Example : ' $ 3 OMR Sheet given inside the Booklet only.# ! -./ 0 4 / 5 / ! ! 6 # , / , 7 , ! -./0 8 3 -./0 2 9 3 ! -./0 : Use only Blue+Black Ball point pen. Use of any calculator or log table etc., is prohibited. There are no negative marks for incorrect answers. ÂÚUèÿææçÍüØô¢ ·ð¤ çÜ° çÙÎðüàæ !#$ #% '(#)* (+ ,# - % ..(/0(#1 2 % 3 ( /1 . /!0- / (/1 (#)4 ' % % 0( 0/ (( 5 67!%(#%8 2( ( (% ( ! ' ·¤ßÚU ÂëDU ÂÚU ÀUÂð çÙÎðüàææÙéâæÚU ÂýàÙ-ÂéçSÌ·¤æ ·ð¤ ÂëDU ÌÍæ ÂýàÙô¢ ·¤è ⢁Øæ ·¤ô ¥‘ÀUè ÌÚUã ¿ñ·¤ ·¤ÚU Üð¢U ç·¤ Øð ÂêÚðU ãñ¢UÐ ÎôáÂê‡æü ÂéçSÌ·¤æ çÁÙ×ð¢ ÂëDU+ÂýàÙ ·¤× ãô¢ Øæ ÎéÕæÚUæ ¥æ »Øð ãô¢ Øæ âèçÚUØÜU ×ð¢ Ù ãô¢ ¥ÍæüÌ ç·¤âè Öè Âý·¤æÚU ·¤è ˜æéçÅUÂê‡æü ÂéçSÌ·¤æ Sßè·¤æÚU Ù ·¤Úð¢U ÌÍæ ©âè â×Ø ©âð ÜUõÅUæ·¤ÚU ©â·ð¤ SÍæÙ ÂÚU ÎêâÚUè âãè ÂýàÙ-ÂéçSÌ·¤æ Üð Üð¢Ð U §â·ð¤ çÜ° ¥æ·¤ô Âæ¡¿ ç×ÙÅU çÎØð ÁæØð¢»ðÐ ©â·ð¤ ÕæÎ Ù Ìô ¥æ·¤è ÂýàÙ-ÂéçSÌ·¤æ ßæÂâ Üè ÁæØð»è ¥õÚU Ù ãè ¥æ·¤ô ¥çÌçÚUQ¤ â×Ø çÎØæ ÁæØð»æÐ ' /1 . % * -./ ! ! 9 -./ * % ! .! 1 : 3$ '' ' '1' .0#)! #(3$ $ , #)/) ( .0#) ©ÎæãÚU‡æ Ñ / '#(3$ #) $ * 3$ ·ð¤ßÜ ÂýàÙ ÂéçSÌ·¤æ ·ð¤ ¥‹ÎÚU çÎØð »Øð OMRU ˜淤 ÂÚU ãè * #)* .-./ .0$ ( ; 3$ ;#! #)*-3 '! #(!#0 4 ;. .0 .8! =8 7! 5 ? / !'% ; ! 6 .-./ - - 5 8,( @ / (## -* #)*,.,A 0 #)*- 8;% B 0 #)*-/) * 03$ 25 .#( . (+ CD A / #)* 8 (+ E# -./ (+ #. 92 #)9 (+ E .3 (+,# /!#* (+ E % -./ (6%F( 2 / #)* : ·ð¤ßÜ ÙèÜð+·¤æÜð ÕæÜU Œßæ§ZÅU ÂðÙ ·¤æ ãè §SÌð×æÜ ·¤Úð¢UÐ ç·¤âè Öè Âý·¤æÚU ·¤æ ⢻‡æ·¤ (·ñ¤Ü·é¤ÜðÅUÚU) UØæ Üæ» ÅðUÕÜ ¥æçÎ ·¤æ ÂýØô» ßçÁüÌ ãñÐ »ÜÌ ©žæÚUæð´ ·ð¤ çÜ° ·¤æð§ü Ù·¤æÚUæˆ×·¤ ¥´·¤ Ùãè´ ãñ´Ð J 1 5 8 7 1 P.T.O. J-8715 !J-8715-PAPER-III! Roll No. # ' RollNo. # ' OMRSheetNo.:.......................................................... ; ' www.examrace.com
  • 2. 2 J-8715 !J-8715-PAPER-III! Paper-III COMPUTER SCIENCE AND APPLICATIONS PAPER - III Note : seventy five (75) two (2) All compulsory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www.examrace.com
  • 3. 3 Paper-III J-8715 !J-8715-PAPER-III! 8. '; # ';* 'B2 ; + / # ':':/; ';'B5D2E ; *2 +F':/ *2 + ';?7 ; *%+ 5 2 # # ; *,+ # # *-+ # # *.+ # # 9. 'D E *%+ : # - *,+ : # / *-+ 57 / *.+ / - 10. 7 G#=#*G G # G + , *%+ G ##G *,+ G ## *-+ A ## *.+ A G # ## 11. 71 #72 : # 7 # * + 71Ç72 *71272+ *+ 71®72 *+ 71Ç72 *72271+ *#+ 72®71Ç72 Codes : *%+ * + #*+ *,+ * + #*#+ *-+ * + #*+ *.+ *+ #*+ 12. ?#1# 1 4 ## *%+ # #1 # 4 #1 *,+ '4 # 4 5## *-+ '4 #1 *.+ '4 www.examrace.com
  • 4. 4 J-8715 !J-8715-PAPER-III! Paper-III 13. H * + # # # *%+ =#A *,+ # ? #I *-+ # ?I #A *.+ =# I #A 14. / # 5*$$+*%%+ #/*9,+ # .98 *2%2%+( # ) *%+ ( ) ( ) 9 A’ 1, 2 1 B’ 1, 2 2 1 and C’ 3 2 1, 2 1 2 ,       5 2 5 2 2 5 2 2 *,+ ( ) ( ) 9 A’ 1, 2 1 B’ 2 2 1 1 and C’ 3 2 1, 2 1 2 , ,       5 2 5 2 2 5 2 2 *-+ ( ) ( ) 9 A’ 1, 2 1 B’ 1, 2 2 1 and C’ 3 2 1, 2 1 2 ,       5 2 2 5 2 2 5 2 2 *.+ ( ) ( ) 9 A’ 2 1 1 B’ 1, 2 2 1 and C’ 3 2 1, 2 1 2 , ,       5 2 2 5 2 2 5 2 2 15. ## # # # *%+ ' *,+ 5 *-+ /# *.+ 4 16. ( H A' *HA'+) *%+ =:J:? *,+ =:J;75( *-+ ?::575 *.+ =:J257A7 17. ( * + 6 ) * + 2 !# # !# # *+ ! ## !# !# # #!# *+ !# # # # # #!# *#+ : ! ##!# # # # # *?1?+ ! # !# 4##!# Codes : *%+ * + *,+ * + #*+ *-+ *+ *.+ *#+ www.examrace.com
  • 5. 5 Paper-III J-8715 !J-8715-PAPER-III! 18. 2 List - I List - II * + #H *+ 5 # # # *+ / *+ # # # *+ H# *+ ## *#+ *+ #!# # # # #/7 *+ ( H' *+ #!# # # /7 Codes : (a) (b) (c) (d) (e) *%+ *+ *+ *+ *+ *+ *,+ *+ *+ *+ *+ *+ *-+ *+ *+ *+ *+ *+ *.+ *+ *+ *+ *+ *+ 19. 2 # n L {0 n 0 , n 4} ≠ 5 ? / *%+ % 9 *,+ . 9 *-+ % 0 *.+ 9 0 20. 1 # : { } * L {0, 1} ends with 1 and does not contain substring 00 x x 5 e ? *%+ *%1$%+**%$1$%+ *,+ *%1$%+*$% *-+ *%1$%+**%1$%+ *.+ *%$1$%+*$% 21. :5K?a*+ #b*+ ##L d*0 +51 M d*0+52 d*1 +50 M d*1+53 d*2 +53 M d*2+50 d*3 +52 M d*3+51 # *%+ 0 #0 *,+ 0 #1 *-+ 0 #2 *.+ 0 #3 www.examrace.com
  • 6. 6 J-8715 !J-8715-PAPER-III! Paper-III 22. # A B C D ¬ ∨ ¬ ∨ ¬ ∨ *%+ 5Ù Ù /Þ ; *,+ 5Ú Ú /Ú ;Þ *-+ 5Ù Ù /Ù ;Þ *.+ 5Ù Ù /Ù ;Þ 23. ( 7=:=H) *%+ 5 7=:=H # *,+ 7=:=H # *-+ 7=:=H *.+ 7=:=H 24. ( ) *%+ 3 3 *,+ 3 3 *-+ ? # H 5 // ! *.+ ? # H 5 // 25. ( # # # #) *%+ # *,+ *-+ *.+ / 26. ( # / # # # # ) *%+ ? *,+ 7' *-+ 'J *.+ '3 27. ( # ? ) *%+ # *,+ # *-+ / # *.+ # # 28. 5 N/=2 7(=7AO#* + N:5J7O# *%+ /=(27= 7A *,+ 27=A/ 7=( *-+ =( 7/A27= *.+ A 727==(/ 29. ' # 4# ## 4 34 ## ? # * 4+( # # ) *%+ -, *,+ 0. *-+ %, *.+ ,90 www.examrace.com
  • 7. 7 Paper-III J-8715 !J-8715-PAPER-III! 30. 1 # / *%+ 099-9 *,+ 099%9 *-+ 09.@9 *.+ 09.89 31. 5 ! ! # *%+ ; E *,+ !# *-+ A *.+ #!( 32. # *%+ # *,+ ! #!# *-+ 1 # ! #!# *.+ 33. ( ) *%+ * *+ *,+ ** + *-+ *P+ *.+ **P+ 34. / # 45%$$ # *+5 **5#%++ ( ) 5 1 A 0.618033 2 2 5 5 / 5%,-.90 # *%+ 88 *,+ , *-+ *.+ @ 35. : f *+ #g *+ ! ( ) *%+ u * f *+* *++5 *f *+ *++ *,+ u * f *+* *++5 1 *f *+ *++ *-+ u * f *+1 *++5 *f *+ *++ *.+ u * f *+1 *++5 1 *f *+ *++ 36. # ! *%+ *,+ 4h *-+ h n ceil z       *.+ h 1 n ceil z       1 37. ?I # # # *%+ *,+ # *-+ *.+ # 38. '7 # *%+ # *1' + *,+ ## *+ *-+ ' *+ *.+ # /1*' + www.examrace.com
  • 8. 8 J-8715 !J-8715-PAPER-III! Paper-III 39. ( ) *%+ I *,+ 5 *-+ 5 *.+ 5 ### 40. ?B2: *%+ 1QP *,+ R* P *-+ 1Q) *.+ 2Q) 41. ?B2:;=/J # # *%+ ;; *,+ ;# *-+ ; # *.+ ; 42. 2## # 14 #4 ( ) *%+ ? *,+ *-+ *.+ 5 43. G *%+ *,+ !5# # ) *-+ 1 *.+ *%+ #*,+ 44. (# # #) *%+ / *,+ / *-+ *.+ 5 45. 7 # *%+ 7 # *,+ 7 *-+ # *.+ 7 46. 5# *%+ # # *,+ #1 *-+ *.+ *,+ #*-+ www.examrace.com
  • 9. 9 Paper-III J-8715 !J-8715-PAPER-III! 47. 5; 7 *%+ !# *,+ / 5 *-+ *.+ 5 48. 5 # # *%+ # # *,+ # # # *-+ # *.+ # 49. 2 # List - I List - II * + ' *+ 5 / 4 *+ 2 *+ 5 # # # *+ *+ = ?6= # *#+ ; # *+ 5 Codes : (a) (b) (c) (d) *%+ *+ *+ *+ *+ *,+ *+ *+ *+ *+ *-+ *+ *+ *+ *+ *.+ *+ *+ *+ *+ 50. ( 2:# # ) *%+ # *,+ # # *-+ # *.+ # ## 51. ( 22 *22+) *%+ ? : *,+ ? # *-+ ? ## ## *.+ ? ## www.examrace.com
  • 10. 10 J-8715 !J-8715-PAPER-III! Paper-III 52. ; E *%+ #! *,+ / ? / *-+ ' *.+ '4 53. ? # # # # *%+ ?#1 *,+ :# *-+ / *.+ 2 54. 51 *%+ 7 *,+ ; *-+ ; *.+ 5 55. 2 List - I List - II * + ? *+ /1 # *+ A# *+ ' # *+ ? *+ I# *#+ ; *+ /# # # # Codes : (a) (b) (c) (d) *%+ *+ *+ *+ *+ *,+ *+ *+ *+ *+ *-+ *+ *+ *+ *+ *.+ *+ *+ *+ *+ 56. 2 # List - I List - II * + *+ # *+ / ## *+ # # *+ 5 *+ 7# ## *#+ ' *+ ' # Codes : (a) (b) (c) (d) *%+ *+ *+ *+ *+ *,+ *+ *+ *+ *+ *-+ *+ *+ *+ *+ *.+ *+ *+ *+ *+ www.examrace.com
  • 11. 11 Paper-III J-8715 !J-8715-PAPER-III! 57. ? « *(S# =+ *%+ ( ) ( ) P Q Q P ∨ ∧ ∨ : : *,+ ( ) ( ) P Q Q P ∨ ∧ ∨ : : *-+ ( ) ( ) P Q Q P ∨ ∧ ∨ *.+ ( ) ( ) P Q Q P ∨ → ∨ : : 58. ( ! #!# ) *%+ # # # *,+ = E # *-+ ; ## ### *.+ 5 59. 2 List - I List - II * + ' ! 3/ *+ A ## 1 *+ ! #!# *+ ; * + *+ / *+ ; # # *#+ 2 !#! *+ / # # Codes : (a) (b) (c) (d) *%+ *+ *+ *+ *+ *,+ *+ *+ *+ *+ *-+ *+ *+ *+ *+ *.+ *+ *+ *+ *+ 60. 2 # 2?'# List - I List - II * + I5 ; *I5;+ *+ ; # # # # # # # *+ /5##' *+ 7 ? ## # # *+ 5 # *+ ';:/ *#+ / # *+ 5 # # # 2 # ## ';:/ Codes : (a) (b) (c) (d) *%+ *+ *+ *+ *+ *,+ *+ *+ *+ *+ *-+ *+ *+ *+ *+ *.+ *+ *+ *+ *+ www.examrace.com
  • 12. 12 J-8715 !J-8715-PAPER-III! Paper-III 61. 51 ( ) ( ) { } 0 1 L w n w n w 5 ? *%+ '® $?$'?%'' *,+ '® $'?%'?$''?%''?$?% *-+ '® $?$'?%''?'%'? ''% *.+ '® $'?%'?$?% 62. H '1 ? :1 #:2 S, :1È :2 #:1Ç :2 '2 ( ) *%+ '1 #'2 *,+ '1 #'2 *-+ '1 #'2 *.+ '1 #'2 63. H H1 '®5? 5® 5? e ®? e H2 '®5? 5® 5? ® ?e ( ) *%+ H1 #H2 *,+ H1 #H2 *-+ H1 #H2 *.+ H1 #H2 64. H 5 / ; H # 3 1 1 1 2 3 5 5 12 , , , , , , , and 30 30 30 30 30 30 30 30 3 # 4 *%+ 67 30 *,+ 70 34 *-+ 76 30 *.+ 78 30 65. ## *%+ 1# *,+ 1 *-+ 1 4 *.+ 4 www.examrace.com
  • 13. 13 Paper-III J-8715 !J-8715-PAPER-III! 66. ? 3 /# # # *%+ ,r2% *,+ ,r22% *-+ ,r21% *.+ ,r12% 67. ?3 # 1 # 4 *%+ *,+ 1 *-+ 1 2 % *.+ 1 1% 68. / # W1 W2 W3 Supply F1 16 20 12 200 Factory F2 14 8 18 160 F3 26 24 16 90 Demand 180 120 150 → Warehouse ↓ G E 51 2#*G52+ W1 W2 W3 Supply ↓ F1 16 (140) 20 12 (60) 200 Factory F2 14 (40) 8 (120) 18 160 F3 26 24 16 (90) 90 Demand 180 120 150 → Warehouse *%+ # *,+ *-+ # *.+ www.examrace.com
  • 14. 14 J-8715 !J-8715-PAPER-III! Paper-III 69. H '% # # ', ? # ## '- ? # # ( ) *%+ '% #', *,+ '% #'- *-+ ', #'- *.+ '%', #'- 70. / # / /1 T%%9U T%2%9U / /2 T2,,9U T2,2,9U # # *%+ x11x21%95$ *,+ x11x22%95$ *-+ x11%95$ *.+ x12%95$ 71. :5 # 44 # # 55K*%$-+*,$0+*-%+*.$8+*9$,+L 5K*%$$9+*%%%+*%,$9+L 44 mA1B*4+5 x y z ⊕ 1 5 *mA*x+ÄmB*++ max (A B) is __________ . Note : min f ⊕ ≡     ⊗ ≡   1 *%+ K*%%$ +*%-%+*%9%+L *,+ K*%%$-+*%,$9+*%-%+*%.%+*%9%+*%0$9+*%8$,+L *-+ K*%%$-+*%,$9+*%-$0+*%.%+*%9%+*%0$9+*%8$,+L *.+ K*%%$-+*%,$9+*%-$0+*%.%+*%9$8+*%0$9+*%8$,+L 72. ' # 44 # 2. x y5*x2-+21, 5#2.5K*,$-+*-$0+*.%+*9$0+*0$-+L f*5#2.+ *%+ K*,$0+*-$-+*0%+*%%$-+L *,+ K*,$0+*-%+*0%+*%%$-+L *-+ K*,$0+*-%+*0$0+*%%$-+L *.+ K*,$0+*-$-+*0$0+*%%$-+L www.examrace.com
  • 15. 15 Paper-III J-8715 !J-8715-PAPER-III! 73. 2 1 List - I List - II * + 1 *+ / *+ *+ ? 1 *+ *+ # 4 # *#+ *+ 5 4 # Codes : (a) (b) (c) (d) *%+ *+ *+ *+ *+ *,+ *+ *+ *+ *+ *-+ *+ *+ *+ *+ *.+ *+ *+ *+ *+ 74. (=(-, *%+ (-,5 ? # # *,+ ' # *-+ A!# (-,5 ? *.+ ' 1 #%0(# -,! 75. 1 # V % , *%+ # % # % , *,+ % # , ## D1E # *-+ ## DE # *.+ # % ## , !$! www.examrace.com
  • 16. 16 J-8715 !J-8715-PAPER-III! Paper-III Space For Rough Work www.examrace.com