eamcet sample paper-1 (ap-eamcet-2015-engineering)
TRANSCRIPT
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EIZDCEIZOGW9. Ok = , =k V V a V V irc jckobcj fy 63 7, 7,k x x a x x tdcb 9 7ank
(9) 637
(6) 99963
(7) ?63
(:) 63999
HC_= 6
DOBZ= 3 7k x x
97
3
xk x
6 7a x x
9 97 7ank a k ;
3a
999
63
6. Ok: 7
I x V x
ibj sob ,k x x x tdcb k I
(9)7 9
,6 7 :6
(6)
9 7,
: 6 76
(7) ,7 :
(:) ,
: 7
HC_= 9
DOBZ= sobk x x x
Qdogd os jcgrcisoba kubgtonb ,: 7
ob
: 7x
: 7
k k x k
9 7
: 6 76k x
7 9
,6 7 :6
k I
7. Zdc viluc nk tdc sue 9.6.7 6.7.: 7.:.3 ....uptnbtcres
(9) 6 69
6 9;
b b (6) 69
9 6 9 6 7;
b b b
(7) 6 69
9 34
b b (:) 9
9 6 7:
b b b b
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HC_= :
DOBZ=9.6.7+6.7.:++uptn b tcres
9 6bt b b b
9
9 6 7:
b bW t b b b b
:. Zdc viluc nk tdc jctcreobibt
6
6 6
6
f if f g fg ig
if i i f f if
fg ig g i if i
(9) ifg (6) i f g (7) 0 (:) if fg gi HC_= 7
DOBZ=
6
6 6
6
0
f if f g fg ig
if i i f f ig
fg ig g i if i
Put i5f5g59
3. Ok I os i squirc eitrox nk nrjcr 7, tdcb
6Ijm IjmI
(9)6
I (6):
I (7)4
I (:)9;
I
HC_= 7
DOBZ= 6ijm ijm I
6
7 9 : 46 6Y I I I
;. Zdc systce 6 7 3,7 3 1, : 6 7x y z x y z x y z dis
(9) Sboquc snlutonb (6) Kobotc buefcr nk snlutonbs(7) Obkobotc snlutonbs (:) Bn snlutonb
HC_= :
DOBZ= Vibh nk I Vibh nk IF
Bn snlutonb.
1.;
9
6 6sob gns
1 1h
h ho
(9) -9 (6) 0 (7) o (:) o
HC_= :
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DOBZ=
;
9
6 6gns sob
1 1h
h ho o
6 ;9 .... 9o 0 9o o
4. Ok ' ' os i gneplcx gufc rnnt nk uboty, tdcb9 6 : 9 7 ?
.... ....7 ? 61 6 4 76
(9) 9 (6) -9 (7) (:) o HC_= 6
DOBZ=
9 6 :...... obkobtc A.P.
7 ? 61
99
iW
r
9 7 ?
....... obkobtc A.P.6 4 76
69
iW
r
9 6 9
?. Zdc gneenb rnnts nk tdc cquitonbs7 6 609: 6093
6 6 9 0, 9 0z z z z z irc(9)
6, (6) 69, , (7) 69, , (:) 6, HC_= 9
DOBZ=Glcirly
6, irc tdc rnnts nk aovcb cquitonbs.
90.
4
9 gns sob4 4
9 gns sob4 4
o
o
(9) 9 (6) -9 (7) 6 (:)9
6 HC_= 6
DOBZ=
4
9 gns sob4 4
9
9 gns sob4 4
o
o
99. Ok , ,i f g irc jostobgt ibj tdc rnnts nk 6 0f g x g i x i f irc cquil, tdcb , ,i f g
irc ob(9) Irotdectog prnarcssonb (6) Acnectrog prnarcssonb
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(7) Direnbog prnarcssonb (:) Irotdectogn-Acnectrog prnarcssonb
HC_= 9
DOBZ=
Glcirly 9x os i snlutonb
Prnjugt nk tdc rnntsi f
f g
9 9 i f
f g
f g i f
6f i g , ,i f g irc ob I.P.
96. Ok tdc rnnts nk 7 6 9: 4 0x hx x irc ob acnectrog prnarcssonb, tdcb h (9) -7 (6) 1 (7) : (:) 0
HC_= 6
DOBZ=Lct , ,
ii ir
rfc tdc rnnts
. . 4i
i irr
7 4 6i i
6i os i rnnt nk aovcb cquitonb
4 : 64 4 0 1h h
97. Ok tdc direnbog ecib nk tdc rnnts nk 66 4 6 3 0x fx os :, tdcb tdc viluc nk f (9) 6 (6) 7 (7) : 3 (:) : 3
HC_= 7
DOBZ=Lct , fc tdc rnnts
6:
6 4 6 36
:
6
f
6 4 6 3:
f
: 3f
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9:. Knr rcil vilucs nk x , tdc ribac nk6
6
6 9
6 9
x x
x x
os
(9) ,0 9, (6)9
,66
(7) 6
, 9,?
(:) , ; 6,
HC_= 9
DOBZ=Lct
6
6
6 9
6 9
x xy
x x
6 66 6 9yx xy y x x
69 6 9 9 0y x x y y
6 : 0 & 9, 0F IG y y
93. Zdc buefcr nk Knur joaot buefcrs knrecj fy usoba tdc joaots 0,6,:,3 ibj wdogd irc bnt
jovosoflc fy 3, os
(9) 90 (6) 4 (7) ; (:) :
HC_= 6
DOBZ=Bn. nk knur joaot buefcrs jovosoflc fy 3 5 ;+:590
^ ^ ^ 0 7! 5 ;
^ ^ ^ 0 7!-6! 5 :
Zntil Bn. nk knur joaot buefcrs 5 :!-7! 594
Vcquorcj 5 94-9054
9;. eZ jcbntcs tdc buefcr nk Zroibalcs tdit gib fc knrecj wotd tdc vcrtogcs nk i rcaulirpnlyanb nk e sojcs. Ok 9 93,e eZ Z tdcb e (9) 7 (6) ; (7) ? (:) 96
HC_= 6
DOBZ=9 93e eZ Z
97 7 93
e eG G
Fy vcrokogitonb e5; fy snlvc.
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91. Ok 9x tdcb tdc gnckkogocbt nk 3x ob tdc cxpibsonb nk
7
6 9
x
x x os
(9)
77
76 (6)
77
76 (7)79
76 (:)
79
76 HC_= 6
DOBZ= 7
6 9 6 9
x I F
x x x x
7 66
6 9I
8
7 9 79
9 6 7F
7 6 9
6 9 6 9
x
x x x x
6 9
96 96
x x
99
9 96
x x
6 3
9 ..... ....6 6 6
x x x 6 7 : 39 ....x x x x x
Gnckkogocbt nk 39 77
9
76 76
x
94. Ok tdc gnckkogocbts nk? 90 99, ,x x x ob tdc cxpibsonb nk 9
bx irc ob irotdectog prnarcssonb tdcb
6:9b b
(9) 7?4 (6) 6?4 (7) -7?4 (:) 9?4
HC_= 7
DOBZ=? 90 99, ,
b b bG G G irc ob I.P.
6
90 ? 99
b b bG G G ? 9990 90
6b b
b b
G G
G G
90 906
? 99
b
b
6990 9? ?06
99 ??
b b
b
6:9 7?4b b
9?. Ok9 9.7 9.7.3
...... ,3 3.90 3.90.93
x tdcb 67 ;x x
(9) 9 (6) 6 (7) 7 (:) :
HC_= 6
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DOBZ=
6 79 9.7 9 9.7.3 9
9 93 6! 3 7! 3
x
6
9 9 .......6!
pq
p p q xx
q
9
3
x
q
9, 6, 6p p q q
6
3 3
qx
Qc act
963
97
x
6 36 97
x x
67 ; 6x x
60. Ok sob gns p ibj tib gnt q tdcb 6
9q p
(9)9
6 (6) 6 (7)9 (:) 7
HC_= 6
DOBZ=
6 6sob gns p
69 sob 6 p 6sob 6 9p
9
Zib qZib
6 9
6 6
Zib q
Zib
gns 66
qcg
6
9
9 6
q
p
66 9p q
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69.6 :
tib 6 tib :gnt3 3 3
(9) gnt 3
(6)
6
gnt 3
(7)
7
gnt 3
(:)
:
gnt 3
HC_= 9
DOBZ=gntI - tibI 5 6 gnt6I
66. Ok sob I sob F sob G 0 ibj gns I gns F gnsG 0, tdcbgns(I F) gns(F G) gns(G I) (9) gns ( I F G) (6) 6 (7) 9 (:) 0
HC_= :
DOBZ=x 5 gosI, f 5 gos F, z 5 gos G
67. Ok 0 0 9tib .tib(960 ).tib(960 ) ,7
tdcb 5
(9)b
,b ]7 94
(6)
b,b ]
7 96
(7)
b,b ]
96 96
(:)
b,b ]
7 ;
HC_= 9
DOBZ=tib tib(960 ) tib(960 ) tib 7
6:. Ok6 7
9 x xsob x ..............6 :
+: ;
9 6 x xgns x ..............6 : 6
ibj 0 < x < 6 tdcb x 5
(9)9
6 (6) 9 (7)
9
6 (:) -9
HC_= 6
DOBZ=
6 7 : ;6
...... ......6 : 6 :
x x x xx x
69x x x
63. Ok 96
i 9 x6sob d lna
9 x9 i
tdcb x 5
(9) i (6)9
i (7)6
9 i (:) 69
9 i HC_= 9
DOBZ=
9 6sobd lna( 9 )x x x
6;. Ob i IFG,(i f g)(f g i) fg, tdcb(9) ; (6) ; (7) 0 : (:) :
HC_= 7
DOBZ=
0 9
:
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61. Ok ob i 9 6 7IFG,r 6r 7r , tdcb tdc pcroectcr nk tdc troibalc os cquil tn(9) 7i (6) 7f (7) 7g (:) 7(i f g)
HC_= 6
DOBZ=
6 7 9
W i W f W g H
64. Ob ii f g
IFG,tib I tib F tib G
(9) 6r (6) r + 6V (7) 6r + V (:) 6 (r + V)
HC_= :
DOBZ=i 5 f 5 g 5 9,
I 5 F 5 G 5 ;0
6?. Ok 9 6 7 :e , e ,e ,e , irc rcspcgtovcly tdc eiabotujcs nk tdc vcgtnrs
9 6 7 :i 6o m h,i 7o :m :h, i o m h,i o 7m h, tdcb tdc gnrrcgt nrjcr nk
9 6 7 :e , e ,e ,e os
(9) 7 9 : 6e e e e (6) 7 9 6 :e e e e
(7) 7 : 9 6e e e e (:) 7 : 6 9e e e e HC_= 9
DOBZ=Kobj eiabotujcs
70. Ok i,f,g, irc ubot vcgtnrs sugd tdit i f g 0, tdcb tdc i.f f.g g.i
(9)7
6 (6)
7
6 (7)
9
6 (:)
9
6
HC_= 6
DOBZ=W.N.F.W
79. Ok i 6o h,f o m h, g :o 7 m 1h, tdcb tdc vcgtnr r sitoskyoba r f g f ibj r.i 0 os
(9) o 4 m 6h (6) o 4 m 6h (7) o 4 m 6h (:) o 4 m 6h HC_= :
DOBZ=r f g f
0r f g f
( ) 0r g f
//r g f
r g tf
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r g tf
. ( . )r i g i t f i
( . )
.
g it
f i
.
.
g ir g
f i
76. Ok i ,f ,g irc tdrcc vcgtnrs sugd tdit i 59, f 56, g 57, ibj i.f f.g g.i 0, tdcb i f g
(9) 0 (6) 6 (7) 7 (:) ;
HC_= :
DOBZ=
6 . . .. . .
. . .
i i i f i gi f g f i f f f g
g i g f g g
77. Ok6
i f f g g i i f g , tdcb 5
(9) 0 (6) 9 (7) 6 (:) 7
HC_= 6
DOBZ=
6
i f f g g i i f g
7:. Zdc Girtcsoib cquitonb nk tdc plibc pissoba tdrnuad tdc pnobt (7,-6,-9) ibj pirillcl tn tdcvcgtnrs f o 6 m :h ibj g 7o 6 m 3h os(9) 6x 91y 4z + ;7 5 0 (6) 7x + 91y + 4z - 7; 5 0
(7) 6x + 91y + 4z + 7; 5 0 (:) 7x 9;y + 4z - ;7 5 0
HC_= 7
DOBZ=
9 9 9
9 9 9
6 6 6
0
x x y y z z
i f g
i f g
73. Zdc irotdectog ecib nk tdc nfscrvitonbs 90, 4, 3, i, f os ; ibj tdcor viroibgc os ;.4. tdcb if5
(9) ; (6) : (7) 7 (:) 96HC_= :
DOBZ=
90 4 3;,
3
i f
69
;.4o
x xb
7;. Ok tdc ecjoib nk tdc jiti ;, 1, x-6, x, 94, 69 wrottcb ob isgcbjoba nrjcr os 9;, tdcb tdc
viroibgc nk tdit jiti os
(9)9
703
(6)9
797
(7)9
766
(:)9
777
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HC_= 6
DOBZ=
69;
6
x xE
[iroibgc 5 69
ox x
b
71. Zwn pcrsnbs I ibj F irc tdrnwoba ib ubfoiscj sox kigcj joc iltcrbitovcly, wotd tdc
gnbjotonb tdit tdc pcrsnb wdn tdrnws 7 korst wobs tdc aiec. Ok I stirts tdc aiec, tdc
prnfifolotocs nk I ibj F tn wob tdc siec irc rcspcgtovcly.
(9); 3
,99 99
(6)3 ;
,99 99
(7)4 7
,99 99
(:)7 4
,99 99
HC_= 9
DOBZ=
6 :
.......I p pq pq
5 p(9 + q6+ q
:+ )
56
9
p
q
74. Zdc lcttcrs nk tdc wnrh YSCWZONB irc irribacj ob i rnw it ribjne. Zdc prnfifoloty
tdit tdcrc irc cxigtly twn lcttcrs fctwccb Y ibj W os
(9)
9
9: (6)
3
1 (7)
9
1 (:)
3
64 HC_= :
DOBZ= ; 6 6! 3!b C P
4!b W
7?. Ok9 7p 9 6p
,7 6
irc prnfifolotocs nk twn eutuilly cxglusovc cvcbts, tdcb p locs ob tdc obtcrvil
(9)9 9
,7 6
(6)
9 9,6 6
(7)
9 6,7 7
(:)
9 6,7 7
HC_= 9
DOBZ=
9 7 9 60 9, 0 9
7 6
P P
:0. Zdc prnfifoloty tdit ib cvcbt jncs bnt dippcb ob nbc troil os 0.4. Zdc prnfifoloty tdit tdc
cvcbt dippcbs itenst nbgc ob tdrcc triols os
(9) 0.4?; (6) 0.1?9 (7) 0.;:6 (:) 0.3?6
HC_= 9
DOBZ=p 5 0.6, q 5 0.4, b 5 7
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:9. Zdc prnfifoloty jostrofutonb nk i ribjne viroiflc os aovcb fclnw =
Zdcb 0 3P T
9)9
90 6)
7
90 7)
4
90 :)
1
90
HC_= 7
DOBZ=
9oP T x
6? 90 9H H
690 ? 9 0H H 6
90 90 9 0H H H
90 9 9 9 0H H H
9
90H
0 3 9 6 7 :P T P T P T P T P T 4
490
H
:6. Ok tdc cquitonb tn tdc lngus nk pnobts cquojostibt krne tdc pnobts (-6, 7), (;, -3) os
0ix fy g wdcrc i 2 0 tdcb, tdc isgcbjoba nrjcr nk i,f,g os9) i,f,g 6) g,f,i 7) f,g,i :) i,g,f
HC_= 6
DOBZ= 6,7 8 ;, 3I F
,P x y 6 6
PI PF
6 6 6 6
6 7 ; 3x y x y
: : ? ; 96 7; 90 63x y x y 9; 9; :4 0x y
7 0x y
0ix fy g
98 98 7i f g
Isgcbjoba nrjcr = g, f, i
:7. Zdc pnobt (6,7) os korst rcklcgtcj ob tdc strioadt lobc y 5 x ibj tdcb tribslitcj tdrnuad i
jostibgc nk 6 ubots ilnba tdc pnsotovc jorcgtonb x-ixos. Zdc gnnrjobitcs nk tdc tribsknrecj
pnobt irc9) (3, :) 6) (6, 7) 7) (3, 6) :) (:, 3)
T 5 x 0 9 6 7 : 3 ; 1
P(T 5 x) 0 H 6H 6h 7H H 6H 1H +h
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HC_= 7
DOBZ= Vcklcgtonb nk (6,7) ob y5x os (7,6)
Vcquorcj pnobt (7+6,6) 5 (3,6)
::. Ok tdc strioadt lobcs 6 7 9 0x y , 6 9 0x y ibj 9 0ix fy knre i troibalc wotdnroaob is nrtdn gcbtrc, tdcb (i, f) 5
9) (;, :) 6) (-7, 7) 7) (-4, 4) :) (0, 1)
HC_= 7
DOBZ=
7 9 6 7
6 9 9 6
9
9 9 9
x y
[crokogitonb
:3. Zdc pnobt nb tdc lobc : 6 0x y wdogd os cquojostibt krne tdc pnobts (-3, ;) ibj (7, 6) os9) (6, ;) 6) (:, 9:) 7) (9, 6) :) (7, 90)
HC_= 6
DOBZ=[crokogitonb (nr) Wnlvoba
6 ; 0 & : 6 0x y x y :;. Ok tdc lobcs 6 0x iy i , 7 0x fy f , : 0x gy g irc gnbgurrcbt, tdcb i,f,g irc ob
9) Irotdectog prnarcssonb 6) Acnectrog prnarcssonb
7) Direnbog prnarcssonb :) Irotdectogn-Acnectrog prnarcssonb
HC_= 7
DOBZ=
9 6
9 7 0
9 :
i i
f f
g g
D.P
:1. Zdc ibalc fctwccb tdc strioadt lobcs rcprcscbtcj fy 66 6 6sob gns sobx y x y os
9)6
6) 7) 6 :)6
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HC_= 7
DOBZ=
gns gns 6
6
:4. Ok tdc slnpc nk nbc nk tdc lobcs rcprcscbtcj fy6 6; 0ix xy y os tdc squirc nk tdc ntdcr,
tdcb tdc viluc nk i os
9) -61 nr 4 6) -7 nr 6 7) -;: nr 61 :) -: nr 7
HC_= 9
DOBZ=
6;e e
7e i
7 ; 7 77. .; ;e e e
69? 69; 0i i
61,4i :?. Zdc sue nk tdc eoboeue ibj eixoeue jostibgcs nk tdc pnobt (:, -7) tn tdc gorglc
6 6 : 90 1 0x y x y os9) 90 6) 96 7) 9; :) 60
HC_= :
DOBZ=
Gp r
Gp r
6 6 90 60Gp
30. Zdc lngus nk gcbtrcs nk tdc gorglcs wdogd gut tdc gorglcs6 6 : ; ? 0x y x y ibj
6 6 3 : 6 0x y x y nrtdnanbilly os9) 7 : 3 0x y 6) ? 90 1 0x y 7) ? 90 1 0x y :) ? 90 99 0x y
HC_= 6
DOBZ=
9
0W W
? 90 1 0x y 39. Zdc cquitonb nk tdc gorglc pissoba tdrnuad (6,0) ibj (0,:) ibj divoba tdc eoboeue rijous os
9)6 6 60x y 6) 6 6 6 : 0x y x y 7) 6 6 :x y :) 6 6 9;x y
HC_= 6
DOBZ=
6 0 0 : 0x x y y
6 66 : 0x x y y
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36. Ok6 6 : 6 3 0x y x y ibj 6 6 ; : 7 0x y x y irc ecefcrs nk i gnixil systce nk
gorglcs tdcb gcbtrc nk i pnobt gorglc ob tdc systce os
9) (-3, -;) 6) (3,;) 7) (7,3) :) (-4,-97)
HC_= 9
DOBZ=
0W L
6 6 : 6 3 : 0x y x y x y
: 6,
6 6gcbtrc
0r
0,9:
3, ;gcbtrc
37. Ok 9 0x y eccts tdc gorglc 6 6 9 0x y y it I ibj F tdcb tdc cquitonb nk tdc gorglcwotd IF is joiectcr os
9) 6 66 7 9 0x y x y 6) 6 66 7 6 0x y x y
7) 6 66 7 7 0x y x y :) 6 6 7 9 0x y x y
HC_= 9
DOBZ=0W L
6 6 9 9 0x y y x y
9,
6 6gcbtcr
9 0Gcbtrclocs nb x y
7
6
6 67
= 9 9 06
Cq x y y x y
6 66 7 9 0x y x y
3:. Ib cquolitcril troibalc os obsgrofcj ob tdc pirifnli6 4y x , wotd nbc nk ots vcrtogcs os tdc
vcrtcx nk tdc pirifnli. Zdcb, tdc lcbatd nk tdc sojc nk tdit troibalc os
9) 6: 7 6) 9; 7 7) 4 7 :) : 7 HC_= 6
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DOBZ=
67 , 46 6
x xlocs nb y x
9; 7sojc x 33. Zdc pnobt (7,:) os tdc kngus ibj6 7 3 0x y os tdc jorcgtrox nk i pirifnli. Ots litus rcgtue os
9)6
97 6)
:
97 7)
9
97 :)
7
97 HC_= 9
DOBZ=
: 6 jostibgc krne kngus tn jorcgtroxi
; 96 3 66
: ? 97
3;. Zdc rijous nk tdc gorglc pissoba tdrnuad tdc kngo nk tdc cllopsc6 6
99; ?
x y ibj divoba ots
gcbtrc it (0,7) os
9) ; 6) : 7) 7 :) 6
HC_= 6
DOBZ=
1ic
6 6r ic f
1 ? : 31. Zdc vilucs tditegib tihc sn tdit tdc strioadt lobc :y x e tnugdcs tdc gurvc 6 6: :x y os
9) :3 6) ;0 7) ;3 :) 16HC_= 7
DOBZ=
6 6 6G i e f
: 9; 9 ;3
34. Zdc kngo nk tdc cllopsc6 6
69
9;
x y
f ibj tdc dypcrfnli
6 6 9
9:: 49 63
x y gnobgojc. Zdcb, tdc viluc
nk6f os
9) 3 6) 1 7) ? :) 9
HC_= 6
DOBZ=Knr cllopsc kngus 69; ,0f
Knr dypcrfnli kngus os
96
3
93
7
96 ,0 7,0
69; 7f 6
1f
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3?. Ok (6,-9,6) ibj (H,7,3) irc tdc troijs nk jorcgtonb ritons nk twn lobcs ibj tdc ibalc fctwccb
tdce os0:3 , tdcb i viluc nk Hos
9) 6 6) 7 7) : :) ;
HC_= 7
DOBZ=6
9 6 7 90
6 7 7:
H
H
[crkogitonb :H
;0. Zdc lcbatd nk pcrpcbjogulir krne tdc nroaob tn tdc plibc wdogd eihcs obtcrgcpts9 9 9
, ,7 : 3
rcspcgtovcly nb tdc gnnrjobitc ixcs os
9)9
3 6 6)
9
90 7) 3 6 :) 3
HC_= 9
DOBZ=Cquitonb nk plibc 9
x y z
i f g
7 : 3 9 0x y z 9
jostibgc krne nroaob30
9
3 6
;9. Eitgd tdc knllnwoba
O. Zdc gcbtrnoj nk tdc troibalc knrecj fy i) (6,6,6)
(6,7,-9), (3,;,7), (6,-7,9) os
OO. Zdc gorguegcbtrc nk tdctroibalc knrecj fy f) (7,9,:)
(9,6,7), (6,7,9),(7,9,6) osOOO. Zdc nrtdngcbtcr nk tdc troibalc knrecj fy g) (9,9,0)
(6,9,3), (7,6,7) , (:,0,:) os
O[. Zdc obgcbtrc nk tdc troibalc knrecj fy j) (7,6,9)
(0,0,0), (7,0,0), (0,:,0) os
c) (0,0,0)
O OO OOO O[
9) j i f g
6) i f g j
7) j c f g
:) j i c g
HC_= 9
DOBZ=O 6,7, 9 , 3,;,7 , 6, 7,9I F G
9 6 7 9 6 7 9 6 7, , 7, 6,97 7 7
x x x y y y z z zA
OO. IFG os i cquolitcril
6,6,6A s
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;6. Ok x
a xx
knr x 6 tdcb
x 6
a x a 6loe
x 6
9) 9 6) 0 7)9
6 :) 9
HC_= 7
DOBZ=
6
6
6 6
Lt
x
s x axW x
x
6
96
6
Lt
x
x
x
9
6
;7.x
6
6xLoegnsx
9) 0 6)9
6 7) 6 :) 3
HC_= 7
DOBZ=L.D.V
Ibs = -6
;:. Ok k os jckobcj fy x, knr 0 x 9
k x ,6 x, knr x 9
tdcb it x 5 9, os
9) Gnbtobunus ibj jokkcrcbtoiflc 6) Gnbtobunus fut bnt jokkcrcbtoiflc
7) Josgnbtobunus fut jokkcrcbtoiflc :) Bcotdcr gnbtobunus bnr jokkcrcbtoiflc
HC_= 6
DOBZ=K os gcbtoec fut bnt jokkcrcbtiflc
9 9
9Lt Lt
x xk x k x k
9 9
9 9
9 9
Lt Lt
x x
k x k k x k
x x
;3. Ok6 6 : : 6
6
9 9 jyx y t ibj x y t tdcb
t t jx
9)x
y 6)
y
x
7)
6
6
x
y :)
6
6
y
x
HC_= 6
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DOBZ=
6 6 9x y tt
6
66 6 9
x y tt
: : 6 6 6
6
96 6x y x y t
t
6 66 6x y
6 6 9x y
;;. Lct J fc tdc jneiob nk i twogc jokkcrcbtoiflc kubgtonb k. Knr ill x J, k '' x k x 0 ibj
k x a x jx gnbstibt . Ok 6 6
d x k x a x ibj d 0 3 tdcb d 6093 d 609:
9) 3 6) 7 7) 0 :) 9
HC_= 7
DOBZ= k x os gnbstibt kubgtonb
6093 609: 3 3 0d d
;1. Ok6x it ibj y 6it, tdcb
6
6
j y
jxit
9t
6 os
9)6
i
6)
:
i 7)
4
i :)
:
i
HC_= :
DOBZ=
9jy
jx t
6
6 6 6
9 9 9
6 6 7
j y jy
jx t jx t it it
Put9
6t
6
6
:j y
jx i
;4. Zdc vnluec nk i spdcrc os obgrcisoba it tdc ritc nk 9600 g.ge/scg. Zdc riwtc nk obgrcisc ob otssurkigc irci wdcb tdc rijous os 90 ge os .
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9) 960 sq.ge/scg 6) 6:0 sq.ge/scg 7) 600 sq.ge/scg :) 900 sq.ge/scg
HC_= 6
DOBZ=7:
7[ r
6: 77
jy jyr
jt jx
6:jv jx
xjt jt
;?. Zdc slnpc nk tdc tibacbt tn tdc gurvcx
7
0
jty
9 t
it tdc pnobt wdcrc x 5 9 os
9)9
: 6)
9
7 7)
9
6 :) 9
HC_= 7
DOBZ=7
9
9
jy
jx x
9 99
9 9 6
jye x
jx
10 Ok6 6x y 63 , tdcb 3lna Eix 7x :y os
9) 6 6) 7 7) : :) 3
HC_= :
DOBZ=
6
3lna 3
36lna 3 6 9 5 6
19. Ok k os jckobcj ob 9,7 fy 7 6k x x fx ix, sugd tdit k 9 k 7 0 ibj k ' g 0 wdcrc
9g 6
7 , tdcb i, f
9) ;,99 6) 9 96 , 67 7
7) 99, ; :) ;,99
HC_= 7
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DOBZ= 9 67 6k x x fx i
9
0k g
67 6 0g fg i
99, ;i f
16.
6jx
x 9 x 9
(g os i gnbstibt)
9) x 9 Gx 9
6)6
x 9 Gx 9
7) x 9 Gx 9
:)6x 9 G
x 9
HC_= 7
DOBZ= 6jx
x 9 x 9
Put9
9xt
17.
6
6
9
9
x xc jx
x
9)9
xcG
x
6)
9
xcG
x
7)
9
9
x xc Gx
:)
9
9
x x
c Gx
HC_= 7
DOBZ=
6
6 6
9 9
9 9
xx
c jxx x
6
9 9
9 9
x xc jx
x x
9
9
x xc gx
1:.
90
9 xx
jxx xc
9)9 x
x
xcLna G
xc
6)
9
x
x
xcLna G
xc
7) 9x xLna xc xc G
:) 9 xLna xc G
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HC_= 6
DOBZ=
9
9
x
x x
c xjx
xc xc
Put xxc t
13.
' 'k x a x k x a xLna a x Lna k x jx
k x a x
9)
a xLna G
k x
6)
6
9
6
a xLna G
k x
7)
a x a xLna Gk x k x
:)
a x a xLna Gk x k x
HC_= 6
DOBZ=Put 9 9lna lnaa x k x t
1;.:
0
sob gns
7 sob 6
x xjx
x
9)9
76Lna 6) 6Lna 7) 7Lna :)
97
:Lna
HC_= :
DOBZ=Put sob gnsx x t
11.
9 6 6
6 69
9 9
9 9
x x x xjx
x x x x
9)7
6
6)
6
7) 0 :) -9
HC_= 7
DOBZ=Njj kubgtonb
14. Zdc irci nk tdc rcaonb jcsgrofcj fy 6 6 6, / 9 9x y x y ibj y x os
9)6
6 7
6)6
6 7
7):
6 7
:):
6 7
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HC_= 7
DOBZ=
Wnlvc6 6 9x y
6 9y x
Irci:
6 7
1?. Zdc snlutonb nk6
9 yjy c
jx x x os
9) 66 9 yx Gx c 6) 69 yx Gx c
7) 6 66 9 yx Gx c :) 6 69 yx Gx c
HC_= 9
DOBZ=Jovojoba wotd
yc
6
9 9 9y y
jy
c jx xc x
40. Zdc jokkcrcbtoil cquitonb
9jy
jx ix fy g wdcrc i, f, g irc ill bnb zcrn rcil buefcrs, os
9) Lobcir ob y 6) Lobcir ob x
7) Lobcir ob fntd x & y :) Dnenacbcnus cquitonb
HC_= 6
DOBZ=
jxix fy g
jy
jxix fy g
jy
Lobcir ob x
PD_WOGW
49. Zdc prcssurc nb i gorgulir plitc os ecisurcj fy ecisuroba tdc knrgc nb tdc plitc ibj tdc
rijous nk tdc plitc. Ok tdc crrnrs ob ecisurcecbt nk tdc knrgc ibj tdc rijous irc 3% ibj 7%
rcspcgtovcly, tdc pcrgcbtiac nk crrnr ob tdc ecisurcecbt nk prcssurc os
9) 4 6) 9: 7) 99 :) 96
HC_= 7
DOBZ=6
K KP
I V
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900 900 6 900P K V
P K V
3 6(7) 3 ; 99
900 99%P
P
46. I fnjy os prnmcgtcj vcrtogilly krne tdc surkigc nk tdc cirtd nk rijous V wotd i vclngoty
cquil tn dilk nk tdc csgipc vclngoty. Zdc eixoeue dcoadt rcigdcj fy tdc fnjy os
9)6
V 6)
7
V 7)
:
V :)
3
V
HC_= 6
DOBZ=( 9)c[ H[ H tdcb
6
6
9
::
99 : 7 79
:
VVH V V
dH
7
Vd
47. I pirtoglc ioecj it i tiract, prnmcgtcj wotd ib ibalc093 wotd tdc dnroznbtil os sdnrt nk tdc
tiract fy 90e. Ok prnmcgtcj wotd ib ibalc nk0:3 os iwiy krne tdc tiract fy 93e, tdcb tdc
ibalc nk prnmcgtonb tn dot tdc tiract os
9) 99 9
sob6 90
6) 99 7
sob6 90
7) 99 ?
sob6 90
:) 99 1
sob6 90
HC_= :
DOBZ=9 90V V
6 93V V
9
6
90 sob 6 sob 70 9
93 sob 6 sob ?0 6
V
V
6 60 93V V
73V 6
eix u
Va
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6sob6u
Va
6
30 u
a
30 sob 673
a
a
6 30u a
73 1sob6
30 90
9 16 sob
90
99 1sob6 90
4:. I eib rubboba it i spccj nk 3hepd kobj tdit tdc riob kills vcrtogilly. Qdcb dc stnps
rubboba, dc kobjs tdit tdc riob os killoba it ib ibalc nk0;0 wotd tdc dnroznbtil. Zdc vclngoty
nk riob wotd rcspcgt tn rubboba eib os
9)3
7hepd 6)
3 7
6hepd 7)
: 7
3hepd :) 3 7hepd
HC_= :
DOBZ=
070 e
re
[Zib
[
39
7
re[ 5 3 7 hepd
43. I dnroznbtil knrgc must sukkogocbt tn envc i fnjy nk eiss :ha lyoba nb i rnuad dnroznbtil
surkigc, os ipplocj nb ot. Gnckkogocbts nk stitog ibj hobctog krogtonbs irc 0.4 ibj 0.;
rcspcgtovcly. Ok tdc knrgc gnbtobucs tn igt cvcb iktcr tdc fnjy dis stirtcj envoba, tdc
iggclcritonb nk tdc fnjy os 690a es 9)
6;es 6) 64es 7) 66es :) 6:es
HC_= 7
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DOBZ= (0.4 0.;) 90s hi a
0.6 90 66i es
4;. I knrgc 6o m h B igts nb i fnjy wdogd os obotoilly it rcst. It tdc cbj nk 60 scg tdcvclngoty nk tdc fnjy os 9 : 6 6o m h es , tdcb tdc eiss nk tdc fnjy os9) 4 ha 6) 90 ha 7) 3 ha :) :.3 ha
HC_= 6
DOBZ= : 9 9 ;K
9; : : 6:[
v uK e
t
6: 0;
60e
; 60 6090
66:e
90e ha
41. I eib nk wcoadt 30ha girrocs ib nfmcgt tn i dcoadt nk 60e ob i toec nk 90scg. Zdc pnwcr uscj
fy tdc eib ob tdos prngcss os 6000Q, tdcb kobj tdc wcoadt nk tdc nfmcgt girrocj fy tdc eib
X issuec a
-6
90es U9) 900ha 6) 63 ha 7) 30 ha :) 90 haHC_= 7
DOBZ=( ) /P E x ad t
(30 ) 90 606000
90
x
9000 300 90x
90 300 30x x ha
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44. I fill ' 'P envoba wotd i spccj nk v -9es gnllojcs jorcgtly wotd ibntdcr ojcbtogil fill 'Y'
envoba wotd i spccj-990es ob tdc nppnsotc jorcgtonb. P gnecs tn rcst iktcr tdc gnllosonb. Ok
tdc gnckkogocbt nk rcstotutonb os 0.;, tdc viluc nk v os
9)-970es 6)
-9:0es 7)-930es :)
-9;0es HC_= 6
DOBZ=6( 90)e v e[
6 ( 90)v v
6 9
9 6
( 90) 0
( 90)
v v vc
u u v
900.;
90
v
v
0.; ; 90v v
0.: 9;v
9:0v es
4?. I pirtoglc nk eiss e 5 3 ubots os envoba wotd uboknre spccj [ 5 7 6 ubots ob tdc T_ plibc
ilnba tdc lobc _5 T+:. Zdc eiabotujc nk tdc ibaulir enecbtue ifnut nroaob os
9) zcrn 6) ;0 ubots 7) 1.3 ubots :) :0 ubots
HC_= 6
DOBZ=gnsL evf
3 7 6 : gns :3
6 9;0L ha e s
?0. Zdc hobctog cbcray nk i gorgulir josg rntitoba wotd i spccj nk ;0 r.p.e. ifnut ib ixos pissoba
tdrnuad i pnobt nb ots gorguekcrcbgc ibj pcrpcbjogulir tn ots plibc os (eiss nk gorgulir josg
53ha, rijous nk josg 5 9e) ipprnxoeitcly.
9) 910 M 6) 9;0 M 7) 930 M :) 9:0 M
HC_= 7
DOBZ=
6 6 6 69 9 7:
6 6 6HC O er k
6 6 67 7 3 9 90 9er k
930HC M
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?9. Zdc ieplotujc nk i soeplc pcbjulue os 90ge. Qdcb tdc pcbjuglue os it i jospligcecbt nk :
ge krne tdc ecib pnsotonb, tdc riton nk hobctog ibj pntcbtoil cbcraocs it tdit pnobt os
9) 3.63 6) 6.3 7) :.3 :) 1.3HC_= 9
DOBZ=
6 6 6
6 6
9( )
. 69.
6
ew I xH C
P Cew x
6 6
6
.
.
H C I x
P C x
5
6 6
690 ::
54:
9;
. 693.63
. :
H C
P C
?6. I sitcllotc rcvnlvoba irnubj i plibct dis nrfotil vclngoty 90 he/s. Zdc ijjotonbil vclngoty
rcquorcj knr tdc sitcllotc tn csgipc krne tdc arivotitonbil koclj nk tdc plibct os9) 9:.9: he/s 6) 99.6 he/s 7) :.9: he/s :) :9.: he/s
HC_= 7
DOBZ=[c5 0( 6 9)[
5 (9.:9: 9)[05 0.:9: 905 :.9: he/s
?7. Zdc lcbatd nk i ectil worc os 9l wdcb tdc tcbsonb ob ot os 9K ibj 6l wdcb tdc tcbsonb os 6K .
Zdcb nroaobil lcbatd nk tdc worc os
9) 9 9 6 6
9 6
K KK K
l l 6) 6 9
6 9K Kl - l 7) 9 6 6 9
6 9
KK K
l K - l :) 9 9 6 6
6 9
KK K
l K - l
HC_= 7
DOBZ=9 9K c
9 9K l l
6 6K l l
9 9
6 6
K l lK l l
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9 6 9 6 9 6Kl Kl K l K l
6 9 6 9 9 6( )K K l K l Kl
6 9 9 6
6 9
K l K ll
K K
?:. Zdc ivcriac jcptd nk Objoib ngcib os ifnut 7000e. Zdc viluc nk krigtonbil gneprcssonb
[
[
nk witcr it tdc fnttne nk tdc ngcib os (aovcb tdit tdc fulh enjulus nk witcr os
6
? 6 6 7
D N6.6 90 Be ,a ?.4 es ,P 9000 ha.e )
9)67.: 90 6) 69.7: 90 7) 6:.97 90 :) 697.: 90
HC_= 6
DOBZ=
7 7
4
7 90 90 ?.4
66 90
v d a
v h
57 7 67 9:190 ?4 90 9.7: 90
66 99e
?3. Zdc riton nk cbcraocs nk ceottcj rijoitonb fy i fligh fnjy it ;00 h ibj ?77 h wdcb td c
surrnubjoba tcepcriturc os 700 h
9)3
9; 6)
1
9; 7)
7
9; :)
?
9;
HC_= 7
DOBZ=
: :
99
: :
6 6 6
WZ ZC
C Z Z
5: :
: :
(;00) (700) 7
(?00) (700) 9;
?;. Zdc spcgokog dcit nk dcloue it gnbstibt vnluec os9 996.; Menl h . Zdc spcgokog dcit nk dcloue
it gnbstibt prcssurc ob9 9Menl h . os ifnut (Issuec tdc tcrepcritruc nk tdc ais os enjcritc,
ubovcrsil ais gnbstibt,9 9V 4.79:Menl h )
9)96.; 6) 9;.4 7) 94.? :) 69
HC_= :
DOBZ=G[5 96.;
V 5 4.79:
GP 5 G[+ V5 96.; + 4.79:5 69
?1. I ais jncs :.3 M nk cxtcrbil wnrh juroba ijoifitog cxpibsonb. Ok ots tcepcriturc kills fy 6H,
tdcb ots obtcrbil cbcray woll fc
9) obgrciscj fy :.3 M 6) jcgrciscj fy :.3 M
7) jcgrciscj fy 6.63 M :) obgrciscj fy ?.0 M
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HC_= 6
DOBZ=jY 5 0
jS 5 -jQ
jS 5 -:.3 M
?4. Zdc rclitonb fctwccb ckkogocbgy ' ' nk i dcit cbaobc ibj tdc gn-ckkogocbt nk pcrknreibgc ' ' nk i rckroacritnr os
9)9
9
6)
9
9
7) 9 :) 9
HC_= 6
DOBZ=
9
9
??. I klish gnbtiobs iranb ibj gdlnrobc ob tdc riton nk 6 = 9 fy eiss. Zdc tcepcriturc nk tdc
eoxturc os061G. Zdc riton nk ivcriac hobctog cbcraocs nk twn aiscs pcr enlcgulc os
9) 9 = 9 6) 6 = 9 7) 7 = 9 :) ; = 9
HC_= 9
DOBZ=Objcpcbjcbt nk biturc H.C9= H.C65 9 = 9.
900. I tribsvcrsc wivc os rcprcscbtcj fy tdc cquitonb 6sob 70 :0y t x ibj tdc ecisurcecbts
nk jostibgcs irc ob ectcrs, tdcb tdc vclngoty nk prnpiaitonb os
9)993es 6) 90.13es 7) 97.13es :) 9700es
HC_= 6
DOBZ=y 5 6sob (70t :0x)
5 Isob (wt hx)
[5
700.13 / scg:0
weh
909. Zwn glnscj popcs divc tdc siec kubjiecbtil krcqucbgy. Nbc os kollcj wotd nxyacb ibj tdc
ntdcr wotd dyjrnacb it tdc siec tcepcriturc. Viton nk tdcor lcbatds rcspcgtovcly os
9) 9 = : 6) : = 9 7) 9 = 6 :) 6 = 9
HC_= 9
DOBZ=
:
[b
l
6
9
: 76 :9 6
D D D
N N N
[ l [ E [ l [ E
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= 9= :N D[ [ 906. Ib oeiac os knrecj it i jostibgc nk 900 ge krne tdc aliss surkigc wdcb loadt krne pnobt
snurgc ob ior kills nb i spdcrogil aliss surkigc wotd rckrigtovc objcx 9.3. Zdc jostibgc nk tdc
loadt snurgc krne tdc aliss surkigc os 900 ge. Zdc rijous nk gurviturc os.9) 60 ge 6) :0ge 7) 70 ge :) 30 ge
HC_= 9
DOBZ=
6 9 6 9
[ S V
9.3 9 9.3 9
900 900 V
60V ge
907. Zwn gndcrcbt snurgcs nk obtcbsoty riton ? = : prnjugc obtcrkcrcbgc. Zdc obtcbsoty riton nk
eixoei ibj eoboei nk tdc obtcrkcrcbgc pittcrb os
9) 97 = 3 6) 3 = 9 7) 63 = 9 :) 7 = 6
HC_= 7
DOBZ=
9
6
?
:
O
O
6 6
9 6eix
eob 9 6
O ? : 63
9? :
O O
O O O
90:. Zdc cbcray nk i pirillcl plitc gipigotnr wdcb gnbbcgtcj tn i fittcry os C. Qotd tdc fittcry
stoll ob gnbbcgtonb, ok tdc plitcs nk tdc gipigotnr irc scpiritcj sn tdit tdc jostibgc fctwccb
tdce os twogc tdc nroaobil jostibgc, tdcb tdc clcgtrnstitog cbcray fcgnecs.
9) 6C 6):
C 7)
6
C :) :C
HC_= 7
DOBZ=
6 9 6
6 9
9 9 6 66
g j jC gv gj g j j
9 9
6 6
6
6 9
C G G
C G G
6
6
9
C
C
66
CC
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903. Zwn pnobt gdiracs +4 g ibj +96 g rcpcl cigd ntdcr wotd i knrgc nk :4B. Qdcb ib
ijjotonbil gdirac nk -90 g os aovcb tn cigd nk tdcsc gdiracs (tdc jostibgc fctwccb tdc
gdiracs os ubiltcrcj) tdcb tdc bcw knrgc os
9) Vcpulsovc knrgc nk 6:B 6) Ittrigtovc knrgc nk 6:B7) Vcpulsovc knrgc nk 6:B :) Ittrigtovc knrgc nk 6B
HC_= :
DOBZ=
9 64 96q g q g
:4K B 9 9
9 66 6q g q g
9 9 6
9 9
6 9 6
K q q
K q q
6 6K B
90;. Ok tdc joclcgtrog gnbstibt nk i sufstibgc os:
7H , tdcb tdc clcgtrog susgcptofoloty c os
9) 0
7
6) 07 7) 0
:
7 :) 0
7
:
HC_= 9
DOBZ=0
9r
0
9H
0
:9
7
0
9
7
0
7
901. Ob i rcaonb nk uboknre clcgtrog koclj nk obtcbsoty C, ib clcgtrnb nk eiss ce os rclciscj krne
rcst. Zdc jostibgc trivcllcj fy tdc clcgtrnb ob i toec t os
9)66
ce t
c 6)
6
6 c
cCt
e 7)
6
ce at
cC :)
66
c
Ct
ce
HC_= 6
DOBZ=
69
6W it
696
cCte
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904. I gnbstibt pntcbtoil jokkcrcbgc os ipplocj fctwccb tdc cbjs nk tdc worc. Ok tdc lcbatd nk tdc
worc os clnbaitcj : toecs, tdcb tdc jrokt vclngoty nk clcgtrnbs woll fc
9) obgrciscs : toecs 6) jcgrciscs : toecs
7) obgrciscs 6 toecs :) jcgrciscs 6 toecsHC_= 6
DOBZ=
9j
[l
9
6
6
9
:j
j
[ l l
[ l l
9 6= : =9
j j[ [
90?. Ob i ectrc frojac, tdc aips irc cbglnscj fy rcsostibgcs nk 6 ibj 7 . Zdc viluc nk sdubt tnfc ijjcj tn 7 rcsostnr tn sdokt tdc filibgoba pnobt fy 66.3 ge os9) 9 6) 6 7) 6.3 :) 3
HC_= 6
DOBZ=
6 7 ;6.37 71.3
x
x
Nb soeplokyoba 6x
990. Zwn lnba strioadt pirillcl gnbjugtnrs 90 ge ipirt, girry cquil gurrcbts nk eiabotujc 7I ob
tdc siec jorcgtonb. Zdcb tdc eiabctog objugtonb it i pnobt eojwiy fctwccb tdce os
9)36 90 Z 6) 37 90 Z 7) zcrn :) 3: 90 Z
HC_= 7
DOBZ=It tdc eojpnobt twn gnbjugtnrs 9 6F F F
9 6 0VF F F
999. Ob i grnsscj koclj, tdc eiabctog koclj objugtonb os 6.0Z ibj clcgtrog koclj obtcbsoty os 60 x 907
[/e. It wdogd vclngoty tdc clcgtrnb woll trivcl ob i strioadt lobc wotdnut tdc ckkcgt nk clcgtrog
ibj eiabctog kocljs >
9) 7 960
909.;
es 6) 7 990 90es 7) 7 960 90 es :) 7 9:0 90 es
HC_= 6
DOBZ=YvF YC
C[
F
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996. I eitcroil nk 0.63 ge
6grnss scgtonbil irci os pligcj ob i eiabctog koclj nk strcbatd (D) 9000
Ie9
. Zdcb tdc eiabctog klux prnjugcj os (Wusgcptofoloty nk eitcroil os 797) (Pcrecifoloty nk
krcc spigc, 1 90
: 90 )De
9) 4.77 x 90-4wcfcr 6) 9.4: x 90-;wcfcr 7) ?.41 x 90-;wcfcr :) 7.9; x 90-;wcfcrHC_= 7
DOBZ= 9T
FI 5 DI 9T I
997. Zdc eiabotujc nk tdc objugcj cek ob i gnol nk objugtibgc 70 eD ob wdogd tdc gurrcbt
gdibacs krne ;I tn 6I ob 6 scg os
9) 0.0; [ 6) 0.; [ 7) 9.0; [ :) ;[HC_= 9
DOBZ=
joL
jt
oL
t
99:. Ob ib IG gorguot [ ibj O irc aovcb fclnw, tdcb kobj tdc pnwcr jossopitcj ob tdc gorguot
30sob 30[ t [,
30sob 307
O t eI
9) 0.;63 Q 6) 9.63 Q 7) 6.30 Q :) 3.0 Q
HC_= 9
DOBZ=
0 gns6
oP
Dcrc 0 30
030o
7
993. Loadt wotd ib cbcray klux nk ? Qge
6
kills nb i bnb-rcklcgtoba surkigc it bnreil obgojcbgc.Ok tdc surkigc dis ib irci nk 60 ge6. Zdc tntil enecbtue jclovcrcj knr gneplctc ifsnrptonb
ob nbc dnur os
9): 96.9; 90 haes 6) 7 99.9; 90 haes 7) 7 96.9; 90 haes :) : 97.9; 90 haes
HC_= 7
DOBZ=
OIp t
G
99;. Zdc riton nk tdc jcFrnaloc wivc lcbatds knr tdc clcgtrnb ibj prntnb envoba wotd tdc siec
vclngoty os (p
e -eiss nk prntnb, ce -eiss nk clcgtrnb)
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9) =p ce e 6)6 6
=p c
e e 7) =c pe e :)6 6
=c p
e e
HC_= 9
DOBZ=
De[
991. Zdc riton nk lnbacst wivclcbatd lobcs ob tdc Filecr ibj Pisgdcb scrocs nk dyjrnacb
spcgtrue os
9)3
7; 6)
1
60 7)
1
9:: :)
3
61 HC_= 6
DOBZ=6 6
9 9 96 7
F
VI
6 6
9 9 9
7 :p
r
1
90
f
p
994. Ob tdc knllnwoba buglcir rcigtonb ' 'x stibjs knrb p c x 9) -pirtoglc 6) pnsotrnb 7) butrobn :) Ibtobutrobn
HC_= :
DOBZ=Gnbgcptuil
99?. Ob tdc knllnwoba gorguot tdc nutput _ fcgnecs zcrn knr tdc obput gnefobitonbs
9) I 5 9, F 5 0, G 5 0 6) I 5 0, F 5 9, G 5 9
7) I 5 0, F 5 0, G 5 0 :) I 5 9, F 5 9, G 5 0
HC_= :
DOBZ= _ IF G
5 I F G
0 9, 9, 0_ I F G
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960. Zdc eixoeue ieplotujc nk ib ieplotujc enjulitcj wivc os 9;[, wdolc tdc eoboeue
ieplotujc os :[. Zdc enjulitonb objcx os
9) 0.: 6) 0.3 7) 0.; :) :
HC_= 7
DOBZ=
F
G
IE
I
eix G sI I I
eob G sI I I
GDCEOWZV_
969.Qdogd nk tdc knllnwoba scts nk quibtue buefcrs os gnrrcgt knr ib clcgtrnb ob 7jnrfotil
9)b 5 7, l 5 6, e 5 -7, s 5 +9
6 6)b 5 7, l 5 7, e 5 +7, s 5 -
9
6
7)b 5 7, l 5 6, e 5 -6, s 5 +9
6 :)b 5 7, l 5 6, e 5 -7, s 5 -
9
6 HC_= 7
DOBZ=knr 7j,
97, 6, 6 6,
6b l e tn s
966. Ok tdc hobctog cbcray nk i pirtoglcs os rcjugcj tn dilk, Jcfrnaloc wivc lcbatd fcgnecs
9) 6 toecs 6) 96
toecs 7) : toecs :) 6 toecs
HC_= :
DOBZ=
9 6
6 9
HC
HC
9
6 6
HC
HC
6 96
967. Ojcbtoky tdc enst igojog nxojc ienba tdc knllnwoba nxojcs fiscj nb tdcor rcigtonb wotd
9) WN7 6)P:N90 7) Gl6N1 :)B6N3HC_= 7
DOBZ=Igojog biturc nk nxojcs obgrciscs krne lckt tn roadt ob pcronj. (nr) Nxojc nk enrc CB itne os enrc
igojog ob biturc.
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96:. Eitgd tdc knllnwoba
Lost-O Lost OO
I) Vufcjoue O) Acreiboue
F) Plitobue OO) Vijon igtovc gdilgnacbG) Chisolognb OOO) W-flngh clcecbt
J) Pnlnboue O[) Itneog buefcr 14
I F G J I F G J
9) O[ OOO OO O 6) OOO O[ O OO
7) OO O O[ OOO :) O[ OOO O OO
HC_= 6
DOBZ=9. Vufcjoue - s-flngh clcecbt
6. Plitobue - Itneog buefcr=14
7. ChiWolognb - Ac
:. Pnlnboue - Vijon igtovc gdilgnacb
963. Qdogd nk tdc knllnwoba jncs bnt divc troplc fnbj fctwccb tdc itnes >
9)B6 6) GN 7)BN :) G66-
HC_= 7
DOBZ=Osn clcgtrnbog spcgocs divc siec prnpcrtocs. BN enlcgulc dis 93 clcgtrnbs. Ots fnbj nrjcr 5 6.3
96;. Ob wdogd nbc nk tdc knllnwoba piors tdc twn spcgocs divc ojcbtogil sdipc fut jokkcr obdyfrojozitonb
9)7 6
,O FcGl 6) 7 7,BD FK 7) 6 7,TcK O :)
: :,BD WK
HC_= 9
DOBZ=Fntd 7O
ibj 6FcGl divc siec strugturc (lobcir) ibj fut jokkcr ob dyfrojozitonb (7sp jibj sp ) .
961. Nb tdc tnp nk i enubtiob witcr fnols it
9) Doad tcepcriturc 6) Wiec tcepcriturc 7) Doad Prcssurc :) Lnw tcepcriturc
HC_= :
DOBZ= Lnw tcepcriturc
964. Qdogd nbc nk tdc knllnwoba os tdc wrnba stitcecbt ifnut tdc loquoj >
9) Ot dis obtcrenlcgulir knrgc nk ittrigtonb
6) Cvipnritonb nk loquojs obgrciscs wotd tdc jcgrcisc nk surkigc irci
7) Ot rcsceflcs i ais bcir tdc grotogil tcepcriturc
:) Ot os ib obtcrecjoitc stitc fctwccb aiscnus ibj snloj stitc
HC_= 6
DOBZ=Cvipnritonb nk loquojs obgrciscs wotd obgrcisc ob surkigc irci.
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96?. I girfnb gnepnubj gnbtiobs 96.4% nk girfnb, 6.9% nk dyjrnacb ibj 43.9% nk frneobc. Zdc
enlcgulir wcoadt nk tdc gnepnubj os 941.?. Gilgulitc tdc enlcgulir knreuli nk tdc
gnepnubj. (Itneog wts= D 5 9.004, G 5 96.0, Fr 5 1?.?)
9) GD7Fr 6) GD6Fr6O 7) G6D:Fr6 :) G6D7Fr7HC_= 7
DOBZ=Clcecbt % It. wt rclitovc buefcr soeplc riton
G 96.4 9696.4
9.0;96
90;
99.0;
D 6.9 96.9
6.99
6.9
69.0;
Fr 43.9 40 43.9 9.0;40
9.0; 99.0;
CK5 6GD Fr
Qt. nk CK 5 96 6 40 ?:
. 941.?6
?:
E Qb
wt nk CK
6 6bEK CK GD Fr 5 6 : 6G D Fr970. 7.099 90
66itnes nk ib clcecbt wcoadts 9.93 ae. Zdc itneog eiss nk tdc clcecbt os
9) 67 6) 90 7) 9; :) 73.3
HC_= 9
DOBZ=
667.099 90 9.93a
67;.067 90 >
67
66
9.93;.067 90 67
7.099 90
979. Qdogd nbc nk tdc knllnwoba os ipplogiflc knr ib ijoifitog cxpibsonb nk ib ojcil ais>
9) 0C 6) Q C 7) Q C :) 0Q HC_= 6
DOBZ=Wobgc C q Q
knr ib ijoifitog rcigtonb 0q
Wn C Q .976. Nb obgrcisoba tcepcriturc, tdc cquolofroue gnbstibt nk cxntdcreog ibj cbjntdcreog
rcigtonbs, rcspcgtovcly
9) Obgrciscs ibj jcgrciscs 6) Jcgrciscs ibj obgrciscs
7) Obgrciscs ibj obgrciscs :) Jcgrciscs ibj jcgrcisc
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HC_= 6
DOBZ=Is tdc tcepcriturc obgrciscs tdc rcigtonb prngccjs tnwirjs cbjntdcreog jorcgtonb.
977. Qdit os tdc pDnk tdcBiNDsnlutonb wdcb 0.0: ae nk ot jossnlvcj ob witcr ibj eijc tn 900
el snlutonb >
9) 6 6) 9 7) 97 :) 96
HC_= :
DOBZ=
60.0: 9000 90:0 900
ND
PND
5 6, PD5 96
97:. Qdogd nk tdc knllnwoba ectdnjs os uscj knr tdc rcenvil nk tcepnriry dirjbcss nk witcr>
9) Zrcitecbt wotd wisdoba snji 6) Gilanb ectnj7) Onb-cxgdibac ectdnj :) Glirhs ectdnj
HC_= :
DOBZ=Vckcr tcxt fnnh Ecenry fiscj
973. Isscrtonb (I)= Ilhilo ectils irc snkt ibj divc lnw ecltoba ibj fnoloba pnobts.
Vcisnb (V)= Zdos os fcgiusc obtcritneog fnbjs irc wcih.
9) Fntd (I) ibj (V) irc bnt truc
6) (I) os truc fut (V) os bnt gnrrcgt cxplibitonb nk (I)
7) (I) os truc fut (V) os truc
:) Fntd (I) ibj (V) irc truc ibj (V) os gnrrcgt cxplibitonb nk (I)HC_= :
DOBZ=Vckcr tcxt fnnh Ecenry fiscj
97;. Ojcbtoky tdc gnrrcgt stitcecbt
9) Lcij knres gnepnubjs ob +6 nxojitonb stitc juc tn obcrt pior ckkcgt
6) Ill dilnacbs knre nbly bcaitovc nxojitonb
7) Gitcbitonb prnpcrty obgrciscs krne fnrnb tn nxyacb
:) Nxyacb nxojitonb stitc os -9 ob nznbojcs
HC_= 9
DOBZ=Vckcr tcxt fnnh Ecenry fiscj
971. Isscrtonb (I)= Bnflc aiscs divc vcry lnw fnoloba pnobts.
Vcisnb (V) = Ill bnflc aiscs divc acbcril clcgtrnbog gnbkoauritonb nk6 ;bs bp (cxgcptDc)
9) Fntd (I) ibj (V) irc truc fut (V) os gnrrcgt cxplibitonb nk (I)
6) (I) os kilsc fut (V) os truc 7) (I) os truc fut (V) os kilsc
:) Fntd (I) ibj (V) irc truc fut (V) os bnt tdc gnrrcgt cxplibitonb nk (I)
HC_= :
DOBZ=
Vckcr tcxt fnnh Ecenry fiscj
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974. Qdogd nk tdc knllnwoba stitcecbts irc gnrrcgt >
I) Ngcib os sobh knr GN6.
F) Arccb dnusc ckkcgt giuscs lnwcroba nk tcepcriturc nk cirtds surkigc.
G) Zn gnbtrnl GN ceossonb fy iutnenfolcs usuilly gitilytog gnbvcrtnr irc kottcj obtn cxdiutpopcs.
J)D6WN:, dcrfogojcs ibj obscgtogojcs krne eost.
9) (G) & (J) 6) (I) & (F) 7) (F) & (J) :) (I) & (J)
HC_= :
DOBZ=Vckcr tcxt fnnh Ecenry fiscj
97?. Zdc fnbj ibalc nk fnbj ob ectdnxy ectdibc os
9) 999.1 6) 90? 7) 904.? :) 940HC_= 9
DOBZ=Vckcr tcxt fnnh Ecenry fiscj
9:0. Qdogd nk tdc knllnwoba gnepnubjs dis zcrn Jopnlcenecbt >
9) 9, : Jogdlnrnfcbzcbc 6) 9, 6 Jogdlnrnfcbzcbc
7) 9, 7 Jogdlnrnfcbzcbc :) 9 gdlnrn 6 ectdyl fcbzcbc
HC_= 9
DOBZ=
Vckcr tcxt fnnh Ecenry fiscj
9:9. Qdogd nk tdc knllnwoba rciacbt os uscj tn kobj nut girfnb-girfnb eultoplc fnbjs >
9) Aroabirj rciacbt 6) Fiycrs rciacbt
7) Wibjeiycrs rciacbt :) Aittcreib rciacbt
HC_= 6
DOBZ=Gnbgcptuil
9:6. Purc solognb jnpcj wotd pdnspdnrus os
9) Ienrpdnus 6) p-typc sceognbjugtnr
7) b-typc sceognbjugtnr :) ObsulitnrHC_= 7
DOBZ=Gnbgcptuil
9:7. 94ae nk alugnsc os jossnlvcj ob ?0ae nk witcr. Zdc rclitovc lnwcroba nk vipnur prcssurc nk tdc
snlutonb os cquil tn
9) ; 6) 0.6 7) 3.9 :) 0.06
HC_= :
DOBZ=
n s
n
P P w E
P e Q
N
G G
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9::. I ais T os jossnlvcj ob witcr it 6 fir prcssurc. Ots enlc krigtonb os 0.06 ob snlutonb. Zdc
enlc krigtonb nk witcr wdcb tdc prcssurc nk ais os jnuflcj it tdc siec tcepcriturc os
9) 0.0: 6) 0.?4 7) 0.?; :) 0.06
HC_= 7
DOBZ=0P P T
9 9
6 6
P T
P T
9Tsnlutc Tsnlvcbt
9:3. Gilgulitc A knr tdc knllnwoba gcll rcigtonb6
( )( ) 6 ( ) 6 ( ) ( ) ( )6 6 iqs s l b iq s]b Ia N D N ]b Ia ND
6
0 00.40 0.1;
Ia ]b]b
Ia
C [ ibj C [
9) -703 hM/enl 6) -709 hM/enl 7) 703 hM/enl :) 709 hM/enl
HC_= 6
DOBZ=
0 0 0
gcll V LC C C
0 0gcllA bKC
9:;. Zdc toec rcquorcj knr i korst nrjcr rcigtonb tn gneplctc ?0% os t. Qdit os tdc toec rcquorcj
tn gneplctc ??% nk tdc siec rcigtonb
9) 6t 6) 7t 7)t :) :t
HC_= 9
DOBZ=
?0%
??%
900lna
990
900 6lna
9
t
t
??% 6t t
9:1. Qdogd nk tdc knllnwoba os tdc enst ckkcgtovc ob giusoba gniaulitonb nk kcrrog dyjrnxojc snl>
9)HGl 6)HBN7 7)H6WN: :)H7XKc(GB);U
HC_= :
DOBZ=Gnbgcptuil
9:4. Qdogd nk tdc knllnwoba prngcss jncs bnt obvnlvc dcitoba >
9) Gilgobitonb 6) Wecltoba 7) Vnistoba :) Lcvoaitonb
HC_= :
DOBZ= Gnbgcptuil
9:?. Qdogd nbc nk tdc knllnwoba os gnrrcgt wotd rcspcgt tn fisog gdirigtcr >
9)P(GD7)72 PD7 6)PD72 P(GD7)7 7)PD72 BD7 :)PD75 BD7HC_= 9
DOBZ= Gnbgcptuil
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930. QdcbIaBN7snlutonb os ijjcj ob cxgcss tn 9E snlutonb nk GnGl7TBD7nbc enlc nkIaGlos
knrecj > Qdit os tdc viluc nk T >
9) 9 6) : 7) 7 :) 6
HC_= 6
DOBZ=Krne tdc aovcb jiti tdc pnssoflc gneplcx os
7 6:Gn BD Gl Gl
:Wnxos
939. Ob wdogd nk tdc knllnwoba gnnrjobitonb gnepnubjs, tdc gcbtril ectil onb os ob zcrn nxojitonb
stitc
9)XKc(D6N);UGl7 6)H:XKc(GB);U 7)Kc(GN)3 :)XKc(D6N);UGl6
HC_= 7
DOBZ=9) ; 0 7 9 0x
7x
6) : ; 9 0x
6 0
6
x
x
7) 0 0x
0x
:) ; 0 6 0x
6x
936. Zdc pcrgcbtiac nk libtdibojcs ibj ornb, rcspcgtovcly, ob Eosgd ectil irc
9) 30, 30 6) 13, 63 7) ?0, 90 :) ?3, 3
HC_= :
DOBZ=Gnbgcptuil
937. Wci jovcrs usc i eoxturc nk
9) N6, B6 6) N6, D6 7) N6, Dc :)B6, D6HC_= 7
DOBZ=Gnbgcptuil
93:. Zdc pnlyecr nftiobcj wotd ectdylcbc frojacs fy gnbjcbsitonb pnlyecr
9) P[G 6) Fubi-W 7) Pnly igryln botrolc :) Fihcloc
HC_= :
DOBZ=
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933. Zdc ieobn igoj gnbtioboba Obdnlc pirt os
9) Zryptnpdib 6) Zyrnsobc 7) Prnlobc :) Ectdonbobc
HC_= 9
DOBZ=Gnbgcptuil
93;. Zdc jrua uscj is pnst npcritovc ibilacsog ob ecjogobc os
9) L-Jnpi 6) Ienxygolob 7) Wulpdipyrojobc :) Enrpdobc
HC_= :
DOBZ=Gnbgcptuil
931. G6D3ND + :O6+ 7Bi6GN7 T + DGNNBi + 3BiO + 7GN6+ 6D6N.Ob tdc ifnvc rcigtonb T os
9) Jo onjn ectdibc 6) Zro onjn ectdibc 7) Onjn ectdibc :) Zctri onjn ectdibc
HC_= 6
DOBZ= 7T GDO Zro Onjnectdibc
934. Pdcbnl nb nxojitonb ob ior aovcs
9) Yuobnbc 6) Gitcgdnl 7) Vcsnrsobnl :) N-Grcsnl
HC_= 9
DOBZ=
93?. Ojcbtoky tdc rciacbts I ibj F rcspcgtovcly ob tdc knllnwoba rcigtonbs
GD7GNNDI GD7GNGl F GD7GDN
9) WNGl6, D6/pj-FiWN: 6)D6/pj-FiWN:, WNGl67) WNGl6, D6N6 :) WNGl6, NsN:HC_= 9
DOBZ=
6 6 :/
7 7 7
WNGl D Pj FiWNGD GNND GD GNGl GD GDN
9;0. Prcjogt rcspcgtovcly T ibj _ ob tdc knllnwoba rcigtonbs
6
T _Ir BD Ir B B Gl Ir Gl
Ir BD6 I
9)BiBN7& Gl6 6)BiBN7 DGl & DGl
7)BiBN6 DGl & Gu/DGl :)BiBN6 DGl&BiBD6HC_= 7