Solution Gs 2011 Prelims

8/3/2019 Solution Gs 2011 Prelims

1/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

$&%!#$

#$%&$!!#$%

#0:,7 39,0411708 17:98 ,3/;009,-08870.42203/0/390/0983.090,70,44/84:7.041,394/,3984/4,394/,39805

,5078432,39,30,9,3/5742490430;9, %0 ,.9;,90 90 03208 30.088,7 147;9,23 839088 3 90 -4/ ,3/ 05 570;039;9,23/01.03.

- %0 570;039 0.088;0 4/,943 41.,7-4/7,9081,98,3/5749038390-4/,3/05,;4/:330.088,7,89,0410307

.%030:97,09017007,/.,8574/:.0/390-4//:73209,-482

/%0,.9;,90.079,30308390.084190-4/,3/05/0,90,03574.088

#0,7/3 90 3/:8 ',0 ;,943.438/0790144389,9020398

9,8570/423,39,80.:,7.;,943,3/90 704:8 002039 94: 5708039 // 349/423,90908.030

:73 98 5074/ .49943 ,8 :80/ 1472,3:1,.9:739090833/,

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

%0407 ,309.5,38.,7,.90780/-:2/ .2,90 9 902507,9:70 974:4:9900,7.430,2439014435,7841.7458824898:9,-0147987043

,!,//,3/.49943

-0,9,3/:90

.!,//,3/:90

/0,9,3/.49943

,9.4:/-0902,370,843 70,8438147901472,9434117.,3,3/:7,8,3/08079-09

984.,90/3908:-9745.,57088:70.08

9 8 :3/07 90 31:03.0 41 ,72 4.0,3.:770398

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9398.43909

,43

-43

.49,3/

/0907347

%009,7.7,1981;070,8,3/82449390407897,9485070

,9.4:/-090,557457,9005,3,943

%070 ,7034 .4:/8 47 ,907 ;,54:7 3 90407897,9485070

%070 ,70 34 ;079., 3/8 3 90 407897,9485070

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9398.43909

,43

-43

.49,3/

/0907347

438/0790144389,9020398

4/;0789 8 3472, 70,907 3 90 407,99:/08,8.425,70/949007,99:/08

43 9024:39,3 7,/0398 -4/;0789 83472, 70,907 3 90 407 ,99:/08 ,8.425,70/949007,99:/08

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

%0 7,2,5:97, 77,,/ ,3/ 0437;078 473,90 3%-09,3/14974:3,774,3/ 5,7,0 24:39,3 7,308 3 907 :550770,.081 9080 7;078 7,2,5:97, 2,08 ,&9:73398.4:78094143943/,%8&9:738/:094

,&5194114/0/2,,,380708

-$39,, -03/3 41 044., 4:32,,,8

.0490.943./89:7-,3.03909079,714/0/24:39,3.,38

/49,,3/-,-4;0


2/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

89,90 3 3/, ,8 90 1443.,7,.90789.8

9834790735,798,7/,3/802,7/

98.0397,5,79574/:.08.49943

:9;,94341.,8.74588570/423,394;07

144/.7458. 430 41 90 144389,908 ,8 ,41 90,-4;0.,7,.90789.8

,3/7,!7,/08

-:,7,9

.,73,9,,

/%,2,/:

,98'79:,!7;,900947

, 9 8 , 57;,90 .425:907 30947 41 ,347,3,94307090702490:8078.,397,382903.7590/ 31472,943 974: 90 807;07 41 90

47,3,943- 9 8,.425:90730947,.7488,5:-.3907309 9,9 574;/08 :8078 ,..088 94 90747,3,9438 309470 2,39,33 9080.:79419031472,94397,382990/

. 98 ,.425:90730947 3 .:8078.,3,..088 , 8,70/ 544 41 .425:93 7084:7.08974:,807;.0574;/07

/430419089,9020398,-,3/.;03,-4;0 8 , .4770.9 /08.7594341 '79:, !7;,900947

%0/,72,,3/79,/05.9,.0397,/0,

41 ,3.039 '0/. .;,943 41 3/, 3 98.43909.438/0790144389,9020398

,72,,8,.43.05943414-,9438,3/4190 /8.,70 41 4308 /:908 94 430801 ,3/ 9449078

#9,,8901:3/,2039,247,,4;073390 1:3.9433 41 90 :3;0780 ,3/ , 9.439,30/

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

390.43909414-,457.087039.7:/04 8 1706:039 7010770/ 94 3 90 308 ,9/40898907225%$

98,2,47.,881.,94341.7:/04

9884:7.0/1742479$0,

9/408349.439,38:5:7

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-,3/43

.,3/43

/,3/

%0 1:3.943 41 0,; ,907 3 , 3:.0,770,.947894

,$4/43908500/4130:97438

-3.70,80908500/4130:97438

.44/439070,.947

/$945903:.0,770,.943

33/,1,704:880.9.422:398;0390 89,9:8 41 , 3,943, 23479 ,9 850.,

,/;,39,089803990/94

9 .,3 089,-8 ,3/ ,/238907 0.:8;00/:.,943,3899:9438

%0 !708/039 41 3/, ,:942,9.,3423,908 , 705708039,9;0 41 90 .422:39 944$,-,

9 .,3 /07;0 -030198 1742 90 !720389078!439!747,220

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-,3/43.,3/43

/,3/

3/, 8 420 94 ,8 41 5078438 9/8,-908 ,9 ,70 90 -030198 ,;,,-0 94902:3/0790,

700 8.443 9 90 ,0 41 0,78 34;07320397:38.448

!70107039, ,492039 41 ,3/ 147 80993 :5-:83088

#,25835:-.-:/38

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-,3/43

.,3/43

/,3/


3/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

9,95:754808904;0732039413/,5742493 90 .43.059 41 0, 44/ !,78%&

%4574;/044/317,897:.9:701,.90814790144/574.08833/:897

%4 3.70,80 90 574.0883 41 5078,-09028,3/70/:.0,89,0

%4 574;/0 02073 ,3/ 0.41703/ 144/574.088390.34408940397057030:78

$00.9 90.4770.9,3807:8390 .4/08;03-04

,43

-,3/43

.,3/43

/,3/

%0,:947,943147909/7,,411:3/81742 90 4384/,90/ :3/41 3/,2:89 .4201742&%

,%0!708/039413/,

-%0!,7,2039413/,

.%0!72038907413/,

/%0&3433,3.038907

70;03:08 70.0;0/ - 90 &3434;0732039- ,41 9,08,3/4907 70.0598147 90 .43/:.9 41 4;0732039 -:83088 ,70.70/90/9490&%

,439303.:3/413/,

-!:-...4:39

.4384/,90/:3/413/,

/054898,3//;,3.08:3/

.7413,3.0 8 90 574;843 41 13,3.,807;.08 94 50450 41 43.420 74:58 %83.:/08 -49 90 .438:2078 ,3/ 90 80102540/ %0 807;.0807;.08 703/070/ :3/072.7413,3.08,70

70/91,.908

$,;381,.908

38:7,3.01,.908

:3/%7,381071,.908

$00.9 90.4770.9,3807:8390 .4/08;03-0490898

,43

-,3/43

.,3/43

/,3/

$4:90,898,,8.,59;,90/90,9903943414-, .422:39 4;07 85,.0 ,3/ 920 ,8 ,04897,90., 831.,39 7043.,24390 1443 8 902489 .43;3.305,3,943147984-,507850.9;0

, 9 ,8 90 49 90,970 /:73 90 $0.43/47/,7

- 98 4.,943 -09003 90 8,3 54078 413,,3/3/,

.9,890,703,418:5075407.4317439,943/:73904/,75074/

/984.,943-0900390!,.1.,3/3/,34.0,38 ,3/ 98 570023039 2,7920.,7,.907

.425,3 2,7093 144/ 574/:.98,/;0798089,9989028/4349.439,397,381,98,9/40898.,25,38319490.:8942078

%0 144/ 574/:.98 ,70 349 2,/0 4:9 41/7403,90/48

%0144/574/:.98,703492,/04:941,32,1,9848

%0 48 :80/ ,70 349 0 94 /,2,0 90.,7/4;,8.:,70,94190.438:2078

. 41 90 89,9020398 ;03 ,-4;0 8 ,70.4770.9

,43

-,3/43

.,3/43

/,3/

243 90 1443 4 ,70 0-0 94-03019174290,,92,,3/,943,#:7,2542039:,7,3900.9

, /:9 202-078 41 43 908.0/:0/ .,890,3/8.0/:0/97-04:804/8

- /:9 202-078 41-04 54;079 30 !4:804/8

./:9202-078414:804/841,-,.,7/.422:3908

//:9202-07841,34:804/

97010703.09444,89!4.413/,.438/0790144389,9020398%&

3/,,39894089,-89801,8,325479,397043,5,07390,898,3,11,78

3/,,398945:90;,.::2.70,90/-9090723,943414/,7


4/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

3/, ,398 94 7089470 90 8947., ,3/.:9:7,90899830-4:783$4:90,89,3/,898,

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43-,3/43

.43

/,3/

0390,33:,&343:/0983495,880/-904$,-,

,90:/09824/10/,3/57080390/,,3

-90:/0987010770/9490#,,$,-,1478:089438

.90&3433,3.0389078,80/947083

/90!720389078:-298907083,943

414:3.41389078&3/079043899:943413/,.430419014438349,1:3/,2039,/:9

,%4;49035:-.00.9438

-%4/0;045908.0391.902507

.%48,10:,7/5:-.5745079

/%4,-/0-9043899:943 ,3/ 70850.9 98/0,8

97010703.094903,3.04228843413/,.4190144389,90203988.4770.9

,903.4:7,08903144114703.,59,147317,897:.9:70/0;0452039

-91,.9,90890574507/897-:9434113,3.08,24390!:-.$0.947&3/079,38

. 9 038:708 97,385,703. 3 13,3.,,/23897,943

/ 430 41 90 89,9020398 , - ,3/ .;03,-4;08.4770.9398.43909

%0%8:3,22,/050450 70,09,92,374;08.,3 807;0,8,70,-08,1090/0,,389 .4,89, .,,2908 4 /4 2,374;081:3.943,8,8,1090/0

,%0 2,374;0 8,258805,7,9090:2,3809902039817429080,-,/04303.5045030907;0347;039:704:9

- %0 2,374;08 574;/0 -49 144/ ,3/20/.308.50450,703300/41,1907,33,9:7,/8,8907

. %0 2,374;0 97008 ,70 9, 9 /0380.,34508,3/807;0,8,30.003980907/:73,..4304798:3,2

/%02,374;0 97008/4349 09:574490/- 894728 ,3/ 9/08 -0.,:80 41 90709038;074498

%0 ,3 54845 4/8 9,990 47/8.70,90/,3/2,39,30/-

,&3;078,,

-&3;078,%7:9

.&3;078,,9

/&3;078,$4:

$,3,943 4..:78 03 9077,943 ,907,..:2:,90/ 3 90 84 0;,547,908 0,;3-03/8,98,3/2307,8

,9 ,70 90 0110.98 41 8,3,943 43 9077,90/,3/

,970,93.70,80890.745574/:.943

-92,088420848250720,-0

.97,80890,9079,-0

/91890,785,.08390849,907

%0 #0/ ,9, 448 5:-80/ - 9039073,943, &343 147 43807;,943 41 ,9:70,3/ ,9:7, #084:7.08 & .439,3 898 41%$

3/02.5,39,3/,32,850.085708039390-4/;07894985498

%70,9030/5,39,3/,32,850.08

!7490.90/8908147.43807;,943413,9:70,3/3,9:7,7084:7.083;,74:8.4:39708

$00.9 90.4770.9,3807 :8390.4/08;03-04

,,3/

-43

.,3/

/43

8 90 411073 41 90,807 4,38 -.42207.,-,38, .,:80410.4342..43.073%$

%0 90,807 4,38 ,70 .438/070/ 94 -0 ,3,850.9 41 8:-5720 03/3 ,3/ -,38 2, -005480/94907841/01,:907831:9:70

33/,9090,8074,38,702489;03943050703.0/ 0397057030:78 94 809 :52,3:1,.9:734705479:398


5/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

3,791.,8,909047-93,74:3/90,79/408 349 1, /43 %8 8 84 -0.,:80 90,997,.94341,79

,/408349089,98:./89,3.0

-830:97,0/-90,997,.94341902443

. 574;/08 9030.088,7 8500/ 147 98890,/24943

/574;/089030.088,7,..007,9431479824943

390.43909413/,30.4342.438/0790

144389,9020398 %0 749 7,90 41 ! ,8 890,/3.70,80/390,891;00,78

%0 749 7,90 3 507 .,59, 3.420 ,8890,/3.70,80/390,891;00,78

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

3 3/, . 41 90 1443 ,;0 90089 8,70 3 90 /8-:7802039 41 .70/9 94,7.:9:70,3/,0/,.9;908

,42207.,,38

-44507,9;0,38

.#043,#:7,,38

/.7413,3.03899:9438

.41901443.,3,/31:79073904;073203984-0.9;0413.:8;0749

!742493$010574:58

!742493 .74 $2, ,3/ 0/:2

3907578082502039390#994/:.,943.9

$00.9 90.4770.9,3807:8390 .4/08;03-04

,43

-,3/43

.,3/43

/,3/

8 904;073203941 3/,/83;08939806:93900397,!:-.$0.947390757808!$8

%0 4;0732039 3903/894:809070;03:00,730/174290/83;08920392,3945,-,.9009073,/0-9

%04;0732039 344307 3903/8 94 709,3902,3,02039.439744190!$8

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

,9890/110703.0-09003,89074/8,3/.42098

89074/8 ,70 82, 74. 5,3094/8 0.42098,7014720/4117403,8080/940907-74.,3/209,.2,907,

89074/8,7014:3/2489-090039047-9841 :5907 ,3/ ,78 0 .42098 ,70 14:3/2489-09003'03:8,3/07.:7

4209884,507.059-0439,0,89074/8/4349

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,,3/43-,3/43

.43

/,3/

.4342.7498:8:,.4:50/9

,01,943

-31,943

.$9,1,943

/50731,943

%0 407341 ,3 #,90 - 90 #0807;0,3413/,0,/894

,4706:/93902,709

-0886:/93902,709

.4.,303906:/93902,709

/4-,943412470/054898-.42207.,-,38


6/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

0890708 3 84:9073 0285070 ,708974307 ,3/ 507889039 9,3 3 34790730285070

$4:9073 0285070 ,8 088 ,3/2,88,8.425,70/9434790730285070

4748 147.0 8 07 3 84:90730285070,8.425,70/9434790730285070

. 41 90 89,9020398 ;03 ,-4;0 8 ,70.4770.9

,43

-43

.49,3/

/0907347

090033/,,3/,898,903,;,943920 ,3/ /89,3.0 .,3 -0 70,9 70/:.0/ -.41901443

005033 90 ,,.., 897,98 -09003,,8,,3/3/4308,

5033,30.,3,,.7488907,892:8-0900390:141$,2,3/3/,2,3$0,

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

4/;0789 14728 90 -,88 147 :2,308903.03901443,8

$41472,943

!70;039434184074843

#0..341,890

!43,94341.7458

$00.9 90.4770.9,3807:8390 .4/08;03-04

,,3/43

-,3/43

.,3/43

/,3/

85,79,20 8 ,3 ,791., 80090307 84/ 390 2,709 9 .438898 41 ,234 ,./8 ,3/574;/08.,470804907,234,./80998:80/ ,8 , 4.,470 8009033,039 3 144/9028,9890-,884198:80

, 85,79,20 8 ,8 8009 ,8 9,-0 8:,7 -:9:30 9,-0 8:,7 9 8 349 70,/ 4/0/ 3:2,3-4//:094,.41706:89003208

-03,85,79,208:80/3144/574.08839080099,890702,38-:99-0.420870889,39944/,943

. 85,79,20 8 ,8 8009 ,8 8:,7 -:9 ,1907308943 394 90 -4/ 9 8 .43;0790/ 394209,-49089,90/34.,4708

/ 85,79,20 8 80;07, 9208 800907 9,39,-08:,703.0144/90282,/0982,6:,39908 41 ,85,79,20 0/ 1007 .,4708434/,943

,9,8905:754809.$7,20//07-:73 ,3/ $ ,30 ,/ 809 :5 903/,3!,7,2039,742299003

, %4 ,9,90 147 3/,3 549., 7014728 3904:8041422438

-%4.,25,3147900397413/,38394902507,:/.,7

. %4 1,.9,90 , /8.:8843 43 3/,83/0503/03.0390798!,7,2039

/ %4 ,9,90 147 90 0397 41 023039 3/,3839490798!,7,2039

,9890/110703.0-09003,,3/,3,25

%4574/:.09,:808207.:7;,54:7,3/ 548547 0 ,3 ,25 :808 802.43/:.9472,907,

%0 ,;07,0 10 85,3 41 , 8 2:.43079,39,941,3,25

80880307011.039,8.425,70/94,3,25

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-,3/43

.,3/43

/,3/

#0.039 4,5507 ,8 3 90308,9

89, 9 8 ,3 0.41703/ 90.344 147 907020/,9434148:/0,3/4858

- 9 8 90 ,9089 90.344 /0;0450/ 147:3/0780,40547,943


7/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

. 9 8 , 0309., 0330070/ -41:00/32,0;,709

/ 9 8 90 ,9089 90.344 94 .43974 90,../039,.,:80/1,2081742408

2,770/.4:50,/4590/,2,0./10

0,78 ,907 93 -48 070 -473 94 902 %0-44/74:5 41 90 .4:50 8 5489;0 ,3/ 30,9;0%0-44/74:541909700843885489;0 5489;0 ,3/ 5489;0 %0 -44/74:54190,/4590/8438

,5489;0

-5489;0

.5489;0

/ ,3349 -0 /0907230/ 43 90 -,88 41 90;03/,9,

,,92, ,3/ 8,/ 9,9 8420 41 8/005089 .43;.9438 070 7010.90/ 3 , -44

990/ &394 98,89 ,3/90 -4497,3814720/810,9,8902088,0174290-449,997,3814720/,,92,,3/

,&51939045570880/,3/5447890247,7085438-941,30/:.,90/2,3

-%044/413/;/:,8.439,30/39044/41,

. %0 10 41 .0-,. ,3/8579:, 5:78:9 ,70088039,147,34-010

/9089,9020398,-,3/.,70.4770.9398.43909

9 7010703.0 94 3/,3 1700/42 897:0&8,09,80343147

,#:3339080.709437088#,/4390,041":93/,4;02039

- !,79.5,93 3 90 $0.43/ #4:3/ %,-04310703.0

.0,/3,.4393039413/,3,943,72

/ 88893 3 90 1472,943 41 390724;0732039:3/07!,3/9,,,7,07:

30459.,/8.1472,9343,890:7,8.8-0.423545:,73,9,89/110703917429097,/943,'

'8:554798$9,3/,7/013943;/0408:554798013943;/04

425,70/ 94 , ' 90 1472,9 ,880;07,920824708947,0.,5,.9

%.30884182209,941'822

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-,3/43

.,3/43

/,3/

97010703.094905074/413/,31700/42897:0 . 41 90 1443 ,8 07070.42203/0/-9007:705479

4250903/0503/03.01473/,

43900.947,908 147 70807;,943 41 80,98 1472347908

!74;843411:3/,2039,7981479050450413/,39043899:943

$00.9 90.4770.9,3807 :8390 .4/08;03-04

,43-,3/43

.,3/43

/,3/

243 90 1443 $9,908 . 430 ,890 2489 8:9,-0 .2,9. .43/9438 147 90.:9;,943 41 , ,70 ;,709 41 47./8 9232:2.48941574/:.943,3/.,3/0;045,305479470390/3/:89739810/

,3/7,!7,/08

-7:3,.,!7,/08

.,/,!7,/08

/&99,7!7,/08

.430419014438349,890147389:2094/41.43807;,94341147,

,485070#0807;0

-49,3.,,7/03

.,943,!,7

//10$,3.9:,7

438/0790144389,9020398

33/,,0974549,3!,3334229900

8 .43899:90/ :3/07 90 574;8438 41 90

43899:943413/, 5705,708 90 /7,19 /0;0452039 5,38 14720974549,3,70,

,8 90 840 7085438-9 147 250203934;0732039 85438470/ 8.0208 3 9020974549,3,70,


8/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

. 41 90 89,9020398 ;03 ,-4;0 8 ,70.4770.9

,,3/43

-43

.,3/43

/,3/

,9 8 90 /110703.0 -09003 ;49043,..4:39,3/39072-:/09

%0 574;84341 , ;49043,..4:398:80/- , 70:,7 4;0732039 0 ,3 39072-:/09 8 , 574;843 :80/ - , .,709,074;0732039

;49043,..4:39 43 /0,8 9 900503/9:70 3 4;07320398 -:/09 0 ,339072 -:/09 3.:/08 -49 0503/9:70 ,3/70.0598

. 41 90 89,9020398 ;03 ,-4;0 8,70

.4770.9

,43

-43

.49,3/

/0907347

#0,7/3 90 39073,943, 4309,7 :3/.4304190144389,90203988.4770.9

,9.,37,394,3894,3.4:397

-9.,37,394,389443/0;0450/.4:39708

.97,3984,389443202-07.4:39708

/ 9 .,3 7,39 4,38 94 90 .0397, -,3 41 ,.4:397

438/07901443

#9940/:.,943

#99406:,,..088945:-.807;.0

#994144/

. 41 90 ,-4;0 8,70 :2,3 #9:2,3#98 :3/07 &3;078, 0.,7,943 41 :2,3#98

,43

-,3/43

.43/,3/

%070 8 , .43.073 4;07 90 3.70,80 3,721: ,, -4428 3 90 80,,9078 41 3/,,9 .4:/ -0 90 .,:8,9;0 1,.9478 147 98503420343

8.,70413:970398174290089:,708

#:3411174290,3//:73902438443

&50339080,8

$00.9 90 .4770.9 ,3807 1742 90.4/08 ;03-04

,43

-,3/43

.,3/43

/,3/

438/07901443

!494839088

#0857,943

0.,4147,3.2,9907

'4.,3.,.943

. 41 90 ,-4;0 ,// .,7-43 /4/0 94 90.,7-43..043,79

,,3/43

-,3/43

.,3/43

/,3/

#0.03990&$/0./0/948:554793/,8202-0785 3 2:9,907, 05479 .4397470208 .,0/ 90 :897,, 74:5 ,3/ 90,8803,,777,302039,9890/110703.0-09003902

%0 :897,, 74:5 8 ,3 31472,,77,302039 . ,28 94 ,4 054793.4:39708 94 2320 90 78 41 ,88893

.02., ,3/ -44., 0,5438 574107,943070,890,8803,,777,3020398,1472,74:5 :3/07 90 4/3 /039.,4-0.9;08

%0:897,,74:5.4257808570/423,3941 8,3 17.,3 ,3/479 207.,3.4:39708070,8 90 202-07 .4:39708 41 ,8803,,777,302039 ,70 570/423,39 1742 90:7450,3&343,3/207.,3.43930398

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43.49,3/

/0907347

%0 8:71,.0 41 , ,0 8 17403 3 80;0703907 -:9 90,907 ,9 98 -49942 8 89 6:/,989070,843


9/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

,.08,-,/.43/:.947410,9

-$3.0908:71,.04190,08,9908,20902507,9:70,890,7340,98489

.%0/038941,90782,2:2,9S

/430419089,9020398,-,3/.;03

,-4;08.4770.98,3/,3/8,30,70,8903,9:7,,-9,941,3 3/,3,32, 850.08%0,32, ,834570/,9478 3 9,9 ,70, -:9 98 08903.0 8970,9030//:0 94 90 /0897:.943 41 98 ,-9,9.43041901443.4:/-09,9,32,

,3/,3/-:11,4

-3/,3/,88

.3/,3/-4,7

/3/,3,00

,3,8 8:850.90/94 ,;0.,:80/ 70.039144/83:897,,48,3,/1107039174234

, 3, 8 .,7,.90780/ - :3:8:, .4/4.0,3 902507,9:70 3 06:,947, 3/,3 .0,3070,8 34 8 .,7,.90780/ - :3:8:,,724.0,3902507,9:7039006:,947,!,.1..0,3

34 ,8 ,/;0780 0110.9 43 84:90892438443 41 3/,-:9,3,,8 340110.9 432438443.2,90

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-43

.49,3/

/0907347

%0 903/03. 147 3.70,80/ 9,943 ,8;8-0,1907903974/:.9434190,3/809902039889024147/473,83%070,84314798 83472, 97,.0/ 94 . 41 90 1443574;8438

,,3,23/,785489438974307;8,;890749

- ,3 ,89 3/, 425,3 ,3 4;0747/ 41

,23/,78

.,3:/.,889022470011.039

/4304190,-,3/.,-4;0

.430419014434-807;,9438834997:0,-4:990":93/,4;0203941

,9,8,343;403924;02039

-9,80/-,,92,,3/

.9,8,85439,304:824;02039

/9//349,997,.990,-4:7.,8830307,

. ,24389 90 1443 574;/0/ ,.42243 1,.947 147 97-, 38:770.943 3 3/, 3

909.039:7,3974/:.94341,308890241,3/70;03:0,3/9,,9434197-,574/:.98

- 31:03.041 14703 704:8 28843,708 397-,,70,8

. #80 41 , ,70 3:2-07 41 2430 03/07897,/078 ,3/ 70;03:0 1,72078 ,8 2//0203 397-,,70,8

/ %0 .425090 /87:5943 41 90 4/,7,7,347/07419097-,.422:3908

3/, 2,39,30/ 98 0,7 .:9:7, .439,.98,3/ 97,/0 38 9 $4:90,89 8, ,.7488 90

, 41 03, 47 98 57002303.0 41 0,72,7920 8947 41 , 41 03, . 41 901443 .4:/ -0 90 2489 .43;3.305,3,94305,3,9438

,8.425,70/944907.4:397083/,,/,-09907 85-:/3 90.344 3 ,3.039 ,3/20/0;,9208

- %0 7:078 41 84:9073 3/, ,,85,97430/ 97,/078 -7,23570898,3/-://892438398.43909

. 438443 3/8 ,.7488 90 , 41 03,1,.9,90/80,;4,08

/ 49 , ,3/ - ,70 .43;3.305,3,9438398.43909

,9890/110703.0-09003:09449,3//0;.08

,:09449:8087,/41706:03.-,3/070,8 .,3 :80 47 1706:03.-,3/

- :09449 8 :80/ 147 70088 4., 70,0947843070,88:80/14770088/070,0947843

.03 31472,943 8 97,382990/-0900394/0;.08:83 :09449 90.344 90/0;.08,;094-0390304189410,.4907-:90390.3448:80/90/0;.08 300/ 349 -0 3 90 30 41 89 410,.4907

/%089,9020398, ,3/- ;03,-4;0,70.4770.9398.43909


10/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

97010703.0942.7477,943.4190144389,90203988,70.4770.9

079073:97039488.,3-070/:.0/

9 8 90 4320,3841 77,943 3/7 ,3/1,723

38420,70,8411,72370.0/34174:3/,9079,-0.,3-0.0.0/

$00.9 90.4770.9,3807:8390 .4/08;03-04

,43

-,3/43

.,3/43

/,3/

97010703.094905074/41.443,7:033/, 420 ,708 14720/ ,325479,395,7941 /7,3 41 0,9 1742 3/, . 41 9014431:3/8.43899:90/420,708

:3/8 :80/ 94 8:55479 90 3/, 11.0 343/43

:3/8 :80/945,8,,708,3/5038438417985078433003,0/33/,

:3/8:80/147,3,784:98/03/,-90798

$00.9 90.4770.9,3807:8390 .4/08;03-04

,43

-,3/43

.,3/43

/,3/

,9,89070,843147,,92,,3/9447,30,8,9,7,,43-0,1419050,8,398410/,

%0/23897,943 //349 8:8503/ 90,3/70;03:0.40.9433859041,/74:9

%0 /23897,943 5745480/ 94 3974/:.0!072,3039$099020393:,7,9

. 41 90 89,9020398 ;03 ,-4;0 8 ,70.4770.9

,43

-43.49,3/

/0907347

.430419014438349,10,9:7041',:0//0/%,

,98,2:95439/0893,943-,80/88902419,,943

- 9 8 , 9, 0;0/ 43 ;,:0 ,//943 ,90,.89,04197,38,.9433 90574/:.943/897-:943.,3

.98,9,439013,.438:259434144/847807;.08 ,3/ 2:89 :92,90 -0 -4730 - 90.438:207

/ 9 8 -,8., , 8:-0.9 41 90 0397,4;0732039 ,3/ 90 $9,90 4;07320398 ,7043 , 1,.9,947 147 98 8:..0881:2502039,943

.480/0.43428,30.43423.

,9024308:5581:.439740/

-/01.913,3.39,085,.0

.430547989,05,.0

/309070547983472547989,05,.0

03 90 -,7 41 , 9700 8 7024;0/ 3 ,.7.:,7 1,843 , ,74:3/ 30,7 98 -,80 97,/:,/708:5,3//08-0.,:80

,,907174284.,334978094,07,5,798

-#4498,7089,7;0/410307

.%7008310.90/-842.74-08

/#4498/434970.0;040314770857,943

%0 0 $%#% 970,9 ,8 3 90 308,9898970,9

, 9 8 , -,907, 897,90. 3:.0,7 ,72870/:.943 970,9 -09003 90 &$ ,3/ 90

#:88,30/07,943-98,2:9,907,030780.:79.44507,943970,9 ,243 90 202-078 41 90 ,89 8,$:229

. 98,970,9-0900390#:88,30/07,943,3/ 90 :7450,3&343147 90 030780.:79.44507,943

/ 9 8 , 2:9,907, .44507,943 970,9 ,24390#$.4:3970814790574249434197,/0

%700 41 90 1443 .7907, ,;0.4397-:90/ 94 9070.4394341089073 ,98$7,3,,3/3/4:72,70438,8498549841

-4/;0789

$50.087.3088

'009,943/0389

3/0282

934-49,3.,25479,3.0

%70,9507.05943


11/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

/,59,943 41 147, ,3/ 1,:3, 94 ,72 ,3/:2/.43/9438

. 9700 41 90 ,-4;0 ,70 .4770.9 .7907, 398.43909

,,3/

-,3/.,3/

/,3/

:2,3 ,.9;908 3 90 70.039 5,89 ,;0.,:80/ 90 3.70,80/ .43.0397,943 41 .,7-43/4/0390,92485070-:9,49419/408349702,3390407,92485070-0.,:8041

9808.,50394904:907897,9485070

90 5494839088 - 5945,3943 3 904.0,38

9097,55341,739054,7.0.,58

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,,3/

-43

.,3/

/43

3 90 .43909 41 0.488902 574/:.9;92,730 :503 4308 ,70 25479,39 ,8 903.70,80902,730574/:.9;9--73390

/0.42548072.7447,382894908:71,.0

3:97039894908:71,.0

-49942/0347,382894908:71,.0. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,,3/

-43

.,3/

/43

1,9745.,7,314708987024;0/9/408349700307,90 6:. ,8 .425,70/ 94 , 9745.,/0./:4:8147089%88-0.,:80

, 90 84 41 7,3 147089 8 /01.039 3

3:970398-5745,:084190970083,7,3147089,;05447;,-9

.907,3147089850.08,7084743

/ 049. 850.08 3;,/0 90 10790 84 41 7,3147089

%02,,,3#,308;077.3850.08/;0789 . 430 ,243 90 1443 8 902489,557457,9070,84314798503420343

, 9 ,8, 7,31, 9,9 8:554798 ::7,39;009,9;0749

- 9 8 , .431:03.0 41 /1107039 -4047,5.,4308

. 49. ,3/ 3;,8;0 850.08 ,;0 349 -0033974/:.0/3987043

/9,8088:2,3390710703.0

97010703.0943/,.438/079014430397,.98

25479,3/547943974.9

33,3/307,0;0452039#0:,943.9

:89428.9

3/,347089.9

. 41 90 ,-4;0 .98 ,;0 700;,3.094-0,734390-4/;0789.43807;,943390.4:397

,,3/43

-,3/43

.,3/

/4304190,-4;0.98

,7 ,7 05,30/ 90 574.088 41 .,88897:0 9 90 05 41 . 430 41 901443904708

,257.,-07,82

-89039,82

.,7389047410;4:943

/,0.9.,2,907,82

,07 3 90 ,798 ,92485070 .,0/43485070 1,.9,9087,/4 .422:3.,943

%0570803.0414430.,:808907010.943417,/4,;0894,79

#,/4,;08,;0,;0743,;0039

. 41 90 89,9020398 ;03 ,-4;0 8 ,70.4770.9

,43

-43

.49,3/

/0907347

49 4703 70.9 3;0892039 ,3/4703 3899:943, 3;08947 ,70 70,90/ 94


12/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

3;0892039 3 , .4:397 . 430 41 90144389,9020398-0897057080398,325479,39/110703.0-090039094

,058-73-099072,3,0203988,3/90.344043-7383.,59,

- 058 3 3.70,83.,59,,;,,-93 0307, 0 43 9,7098 850.1.80.9478

. 148 43 394 90 80.43/,7 2,70909,7098572,72,709

/8.438/070/94-0247089,-09,3

0309., 0330070/ 1472 41 -73,343,8909-73,,8-003/0;0450/%04-0.9;041988

,%42,09508970889,39

-%42574;0989,890,3/3:979;06:,908

.%42,09/74:970889,39

/%42,098801104307

9 7010703.094 ,2/22,4,3,.438/0790144389,9020398

%0202-0738:70/:3/07908.0202:89-0900,/41901,247,30,733202-0741901,23,7:7,,3/0884:804/

%0 202-07 38:70/ 2:89 -0 3 90 ,074:541940,78

%0708,574;84314717008.4,785147:594 94 ./70341 90 38:70/ 4 ,70 89:/3-09003.,8808,3/

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,43

-,3/43

.,3/43

/,3/

390&343:/09,1:0025943174290-,8..:89428/:9,80903/0/9490-4-,80/ ,85,9 -4,85,9 ,9 8 9025479,3.041982,907,

&30 97,/943, ,85,9 -4,85,9 8 349-,80/4314881:08

4,85,9.,3-02,/017423437030,-07084:7.08

4,85,9 .,3-02,/0 174247,3.,8902,907,8

9 8 0.41703/ 94 :80 -4,85,9 1478:71,.3419074,/8

.419089,9020398;03,-4;0,70.4770.9

,,3/43

-,3/43

.,3/43

/,3/438/07901443

,7-43/4/0

/084197403

/0841$:5:7

. 41 90 ,-4;0 8,70 90 02884302884381742.4,.42-:8943,99072,54075,398

,43

-,3/43

.,3/43

/,3/

$,90908 :80/ 147 900.422:3.,943 70,,700593,0489,943,747-98,909088,/94-038:.,347-903

%047-980483.7434:8

%047-98.7.:,7

%0 47-9 08 3 90 5,30 41 90 ,79806:,947

%0 47-9 8 ,9 ,3 ,99:/0 412

$00.9 90.4770.9,3807 :8390 .4/08;03

-04,,3/43

-,3/43

.,3/43

/,3/

3/, ,8 050703.0/ 507889039 ,3/ 144/ 31,943 3 90 70.039 5,89 ,9 .4:/ -09070,8438

:094,7,/:,89.4;079490.:9;,94341 .42207., .7458 90 ,70, :3/07 90.:9;,94341 144/7,38,8890,//0.70,80/

390,891;00,78-,-4:98,.43806:03.0413.70,833.420890.438:25943 5,990738 41 90 50450 ,;0:3/07430,831.,39.,30

%0 144/ 8:55 .,3 ,8 897:.9:7,.43897,398


13/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

.419089,9020398;03,-4;0,70.4770.9

,,3/43

-,3/43

.,3/43

/,3/

9 5708039 8.039898 .,3 /0907230 90,77,302039 47 70,9;0 5489438 41 0308 47 806:03.08 43 , .74248420 4 /40898340/0-03019:8

9 8 5488-0 94 34 90 50/700 41;0894.

985488-094:3/0789,3/90.,:80841,:2,3/80,808

9 8 5488-0 94 /0;045 /80,8070889,39,32,-700/8

. 41 90 89,9020398 ;03 ,-4;0 8,70.4770.9

,,3/43

-43

.,3/43

/,3/

3 90728 41 0.4342 90 ;89 - 147033,943,8 94 93088 90 42243 0,9,20833/,,24:390/94

,5479

-25479

.!74/:.943

/438:25943

.74-,1:0.08,70.438/070/,84:7.0418:89,3,-00307

%0 :80 ;3 47,3828 ,8 .,9,898 940307,9000.97.91742.079,38:-897,908

%0:80 ,;,70941 347,3.2,907,8,88:-897,908

%0 .,3 -0 389,0/ 3 ,890 ,907970,92039 5,398 94 .0,380 ,907 ,3/ 574/:.000.97.9

. 41 90 89,9020398 ;03 ,-4;0 8,70

.4770.9,43

-,3/43

.,3/43

/,3/

. 430 41 90 1443 89,9020398,557457,90/08.7-089018.,892::8

,98,2,88;03;0892039-904;07320393 2,3:1,.9:73 80.947 94038:70 90 8:55 4144/894200990/02,3/8:70.,:80/-7,5/0.4342.749

- 9 8 ,3 390380 ,1172,9;0 ,.943 41 904;073203994-44890.4342.,.9;9390.4:397

. 9 8 4;07320398 39038;0 ,.943 4313,3., 3899:9438 94 038:70 /8-:7802039 414,3894,7.:9:70,3/,0/80.947894574249070,907144/574/:.943,3/.439,3144/31,943

/ 9 8 ,3 097020 ,1172,9;0 ,.943 - 904;0732039 94 5:78:0 98 54. 41 13,3.,3.:843

%0 1472,94341 4430403 9039,7.9.7043,8-003,.,:8041.43.073,9.4:/-09070,843147901472,943419840

, !70803.0 41 57423039 974548507.9:7-:03.0,3/31441.4741:474.,7-438

- !70803.0 41 57423039 54,7 17439 ,3/897,948507. .4:/8 ,3/ 314 41.4741:474.,7-438

. -803.0 41 54,7 17439 ,3/ 897,948507..4:/8 ,3/ 314 41 209,30 ,3/.4741:474.,7-438

/3.70,80/902507,9:70,954,77043/:0944-,,723

438/07 90 1443 ,.9438 . 904;0732039.,39,0

0;,:390/42089..:7703.

#0/:.943390054798:-8/

/4593 8:9,-0 54.08 . ,997,.970,907,3/24701:3/817428

. 41 90 ,-4;0 ,.943,.9438 .,3 05 370/:.390.:77039,..4:39/01.9

,,3/

-,3/

.43

/,3/%043899:943$0;039%7/203/2039.9 . ,28 ,9 5742493 90!,3.,,9 #, 3899:9438 3 90 .4:397574;/08147.41901443

43899:94341897.9!,33342299008


14/14

$%$%&$$%

47907/447$,9,4:80,3#/7:0700,,7

0397,0-4;0&-,3/#,3/07,,7!

$9,90 0.943 42288438 94 .43/:.9 ,5,3.,,900.9438

89,-8203941$9,903,3.042288438

$00.9 90.4770.9,3807:8390 .4/08;03-04

,43-,3/43

.,3/43

/,3/

%425479,397;07843099884:7.03,7,3/ ,3/ 343 - , /1107039 3,20 3/8,,3/,3490799884:7.03/8,2070,9,5,.043,8479/89,3.0174290.4,89 41 , 41 03, -01470 143 394 9080, %8 8 ,3 25479,39 890 41 /10 ,3/-4/;0789 ,3/ , 57490.90/ ,70, .430 41901443.4:/-098

,9,7,3,

-,3/5:74380,

.45,5:74380,

/$25,

7,5/ 3.70,80 3 90 7,90 41 31,943 884209208,997-:90/9490-,800110.9,98-,800110.9

,989025,.941/7,89./01.03.38:55/:0941,:7041.7458

-989025,.941908:703/02,3//:0947,5/0.4342.749

. 9 8 90 25,.9 41 90 57.0 0;08 41570;4:8 0,7 43 90 .,.:,943 41 31,9437,90

/430419089,9020398,-,3/.;03,-4;08.4770.9398.43909

3/, 8 70,7/0/ ,8 , .4:397 90247,5.;/03/%88/:094

,98545:,943390,074:5-040,78

-98545:,943390,074:541 0,78

.98545:,943390,074:5,-4;0 0,78

/98949,545:,943

#0,7/3.,7-43.70/98.4304190144389,90203988349.4770.9

, %0 .,7-43 .70/9 88902 ,8 7,910/ 3.43:3.943990494!7494.4

- ,7-43 .70/98 ,70 ,,7/0/ 94.4:39708 4774:58 9,9 ,;0 70/:.0/ 70034:80 ,808-049070288436:49,

.%04,4190.,7-43.70/98890289429903.70,8041.,7-43/4/0028843

/,7-43.70/98,7097,/0/,9,57.010/1742 920 94 920 - 90 &390/ ,94383;7432039!747,220

Documents

Solution Gs 2011 Prelims