ku`l smw- 3 GMty 1. swry prsn jruri hn[ SRyxI: A`TvIN ivsw : gixq prsn p`qr di bxqr ilkqi AMk:80 prxogi AMk:10 AWqirk mulwkx:10 ku`l AMk:100 2. Bwg a iv`c prsn nm: 1 qon 16 q`k hryk prsn 1 AMk dw hovygw [ ieh prsn bhu-ivklpi au`qrw vwlu hoxgy[ Aqy prsn nm: 17 qon 24 q`k hryk prsn 2 AMk dw hovygw[ 3. Bwg A iv`c prsn nm: 25 qon 33 q`k hryk prsn 4 AMk dw hovygw Aqy iehnw prsnw iv`c iksy iqmn prsnw iv`c AMdrUnI Cot hovygi [ prsn 34 qon 35 q`k hryk prsn dy 6 AMk hoxgy Aqy iehnw donvy prsnw iv`c AMdrUnI Cot hovygi not: prsn p`qr iv`c prsn, pwt-pusqk dy AiBAwsW Aqy ivsw vsqu iv`con pu`cy jwxgy[ lvi AiDAwie dw nw ku`l AMk 1 AMk 2 AMkW 4 AMkW 6 AMkW nm: vwly prsn vwly prsn vwly prsn vwly prsn 1. pirmyx smikawvw 4 2 1 - - 2. ie`k cl vwly ryki 5 1-1 - smikrn 3. cqrbujwvw num smjxw 5 1-1 - 4. prxoigk ijawimqi 6-1 1-5. AMkiVAW dw prbmdn 7 1 - - 1 6. vrg Aqy vrgmul 3 1 1 - - 7. Gx Aqy GxmUl 3 1 1 - - 8. rwsiaw di qulnw 5 1-1 - 9. bij gixqk ivamjk Aqy 5 1-1 - qqsmk 10. Tos AkwrW dw icqrn 5 1-1 - 11. KyqrimqI 9 1 1-1 12. Gwq AMk Aqy Gwq 6 2-1 - 13. is`dw Aqy ault smwn 5 1-1 - Anupwq 14. guxnkmfikrn 3 1 1 - - 15. grwpw bwry jwxkwri 6-1 1-16. smikawvw dy nwl Kyfxw 3 1 1 - - 80 16 8 9 2 1
mwfl tyst pypr: gixq (mwrc-2020) kul AMk : 80 jmwq: A`TvIN smw: 3 GMty not: 1. prsn 1-16 : hryk prsn 1 AMk dw hy[ 2. prsn 17-24 : hryk prsn 2 AMk dw hy[ 3. prsn 25-33 : hryk prsn 4 AMk dw hy[ 4. prsn 34-35 : hryk prsn 6 AMk dw hy[ Bwg-a 1) + = + iv`c hyt ilikaw iv`con ikhvw gux drswieaw igaw hy? I. pirmyx smikawvw jov dy AMqrgq bmd humdiaw hn[ II. pirmyx smikawvw lei jov krm vtwdrw Xog hy[ III. pirmyx smikawvw lei Gtwau krm vtwdrw Xog hy[ IV. pirmyx smikawvw lei jov sihcr hy[ 2) 2 Aqy 3 dy ivckwr ikmniaw pirmyx smikawvw hn? i. ie`k (ii) koei nhin (iii) AnMq (iv) ds 3) hyt ilkiaw iv`con ikhvi smikaw 4 nwl BwjXog hy? i. 20014 ii. 21600 iii. 29474 iv. 20926 4) hyt ilkiaw iv`con ikhvw kqn glq hy? i. iksy twk smikaw dw Gx ie`k twk smikaw humdi hy[ ii. iii. iv. ie`k purx Gx do isprw 'qy Kqm nhin humdw[ ie`k AMk vwli smikaw dw Gx ie`k AMk vwli smikaw ho skdi hy[ ies qrhw dw koei purn Gx nhin hy jo 3 qy Kqm humdw hy[ 5) hyt ilkiaw iv`con iksdw mu`l dy brwbr hy? i. + ii. iii. iv. 6) hyt ilikaw iv`con ikhvw id`qi gei Awieq dw KyqrPl drswaundw hy: i. 2 5+2 ii. 20 iii. 10 iv. 10 7) hyt ilikaw iv`con ikhvw kqn shi hy? i. swry Awieq vrg humdy hn[ ii. swry vrg smwqr cqurbuj nhin humdy[ iii. swry pqmg smcqurbuj humdy hn[ iv. swry smwqr cqurbuj smlmb cqurbuj humdy hn[ 8) hyt id`qiaw iv`con ikhvw ie`k ault smwn Anupwq dw audwhrx hy: i. KyqI kiqi gei jmin dw KyqrPl Aqy k`ti gei Psl[ ii. sybw dw kimq Aqy KrIdy gey sybw di mwqrw[ iii. iek smwn cwl nwl iksy Xwqrw iv`c ilaw igaw smw Aqy qya kiqi gei duri[ iv. iksy dys di jnsmikaw Aqy prqi ivakqi zmin dw KyqrPl[ 2 5 2
9) 105 X 95 dw mu`l pqw krn lei hyt ilikaw iv`con ikhvi qqsmk di vrqon hovygi: i. - = (a+b)(a-b) ii. (+ )(+) = +(a+b)x+ab iii. ( +) = +2ab+ iv. ( ) = -2ab+ 10) jdon ie`k pwsy num su`itaw dw hy qw ie`k ABwj smikaw dy prwpq hox di ki smbwvnw hy? i. ii. iii. iv 11) ie`k Gxwkwr brqn dw Awieqn 1 iltr hy[ ies brqn dy iknwry di lmbwei ikmnhi hovygi? i. 1 cm ii. 1 m iii. 1 dm iv. 1mm (12) ie`k smkox ABC iv`c, B=90 0 hy[ jykr AC = 13sm, BC = 5 sm hovy qw AB di lmbwei pqw kro[ i) 12 sm (ii) 10 sm (iii) 25 sm (iv) 15 sm 13) hytw id`iqaw iv`con ikhvw id`qy gey ic`qr dw aupri idrs num drswaundw hy? (i) (ii) (iii) (iv) iehnw iv`con koei nhin 14) skul myly lei myn ie`k KuSiksmq ifp(kupn) dw stwl lgwaux jw rhi hw[ ie`k KuSiksmq ifp lei myn 10 ru: vsul krwgi pr myn dyx lei ies qrhw diaw vsquaw KrIdWgI ijhnw di kimq 5 ru: hy[ myrw lwb % pqw kro? i. 50 % ii. 10% iii. 100% iv. 25% 15) ie`k Awieq di lmbwei Aqy covwei krmvwr (+5) Aqy ( 5)iekweIAW hy[ ies Awieq dw pirmwp hovygw: i. ( -25) vrg iekweiaw ii. (2+10)iekweIAW iii. (4+20)iekweIAW iv. (4)iekweIAW 16) hyt ilky Gwq AMk inxmw iv`con ikhvw shi nhin hy: i. = ii. = iii. ( ) = iv. = ( ) 17) mu`l pqw kro: + 18)ie`k smcqurbuj ABCD di rcnw kro ijs iv`c AC= 6sm Aqy BD= 7sm hovy[ 3
19) ie`k vrgwkwr pwrk dw KyqrPl 51.84 sm 2 hy[ ies pwrk di ie`k Bujw di lmbwei pqw kro[ 20) pirksq plwsitk dw ie`k Gxwv bxwaundw hy, ijsdiaw BujwvW 5 sm, 2 sm Aqy 5 sm hn[ ie`k Gx bxwaux dy lei ies qrhw dy ikmnhy GxwvW di jrurq hovygi? 21) do Gx ijnhw iv`c hryk dy iknwry di lmbwei b iekweiaw hy, num jov ky bxy Gxwv di ku`l sqhw dw KyqrPl pqw kro? 22) hyt id`qy gey gixqk kqn iv`c glqi pqw krky ausnum shi kro: (3+2) =3 + 6+4 23) id`qw igaw c`kr grw& (Pie Chart) durdrsn dy v`k v`k cynlw dy drskw di prqisqqw num drswaundw hy: i.) jykr KbrW dy cynl dy drskw di smikaw 30,000 hovy qw KyfW dy cynl dy drskw di smikaw pqw kro[ 24) jykr ie`k smikaw N lei, N 5 nwl bwki 4 Aqy N 2 nwl bwki 1 prwpq humdw hy qw N dw iekwei AMk pqw kro[ 25) rwhul Aqy hwrun diaw vrqmwn 56 swl ho jwvygw[auhnw diaw vrqmwn aumrw pqw kro[ 26) id`qy gey ic`qr iv`c RUNS ie`k smwqr cqurbuj hy[ x Aqy y dy mu`l pqw kro[ shi imlwn kro: pqmg Bwg A aumrw dw Anupwq 5:7 hy[ 4 swl bwd auhnw diaw aumrw dw jov vrg smlmb cqurbuj smwqr cqurbuj 27) ie`k cqurbuj MORE di rcnw kro ijs iv`c MO = 6sm, OR=4.5 sm, M = 60 0, O = 105 0 Aqy R = 105 0 hovy[ 28) ie`k tynki num 1 GMty 20 immt iv`c Brn lei 6 pweipw di zrurq hy[jykr aus qrw diaw kyvl 5 pweipw dw hi aupxog kiqw jwvy qw auh tynki ikmny smyn iv`c BrygI? 14 mi. au`cy ie`k ibjli dy KMBy dw prcwvw 10 mi. hy[smwn siqqiaw iv`c aus drkq di aucwei pqw kro ijsdw prcwvw 15 mi. hy[ 4
29) ie`k dukwndwr 2400ru: iv`c 80 vsquaw KrIddw hy Aqy auhnw num 16% lwb qy vyc idmdw hy[ie`k vsqu dw vyc mu`l pqw kro[ ie`k ti.vi. 21,000 rupey iv`c KrIidAw igaw[ jy ie`k swl bwd ti.vi. dw mu`l 5% Gt jwvy qw ie`k swl bwd iesdw mu`l pqw kro[ 30) F`ukvIN srbsmqw dw prxog krky (998) 2 dw mu`l pqw kro[ 31) ie`k Tos dy 5 Plk Aqy 9 iknwry hn[ iesdy iskrw di smikaw pqw kro[ 32) ie`k inrmwx kmpni dy v`k-2 swlw iv`c kiqi gei ivkri nwl id`qy gey grwp iv`c drswei gei hy[grwp dw AiDAYn krky hyt ilky prsnw dy au`qr idau: (a) swl 2002 Aqy 2006 dy ivkri iv`c ikmnw AMqr si[ (A)iks AMqrwl iv`c ivkri dw ieh AMqr sb qon izawdw si? 33) mu`l pqw kro: "# $ "% mu`l pqw kro: ( ) + ( ) ] -1 34) iksy svk num p`drw krn lei ie`k rof rolr num svk dy au`pr ie`k vwr GuMmx lei 750 c`kr lgwauxy pyndy hn[jy rof rolr dw ivaws 84 sm Aqy lmbwei 1 mitr hovy qw svk dw KyqrPl pqw kro[ du`d dw ie`k tynk vylx dy Akwr dw hy ijsdw ArDivAws 1.5 mi. Aqy lmbwei 7 mi. hy[ ies tynk iv`c Bry jw skx vwly du`d di mwqrw iltr iv`c pqw kro 35) iksy PYktrI dy 30 mzdurw di hpqy di Awmdn ( ru: iv`c) hytw ilki hy: 830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845,804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840. imlwn icmnhw di vrqon krdy hoey AMqrwlW 800-810, 810-820 Awid vwli ie`k bwrmbwrqw swrxi bxwau[ Cu`tIAW dy idnw iv`c ie`k Kws jmwq dy ividawrqiaw duawrw prqiidn ti.vi. dykx dy smyn ( GMitAW iv`c) num id`qy gey grwp rwhin drswieaw igaw hy[ hyt id`qy prsnw dy au`qr idayu: (a) sb qon v`d ividawrqiaw ny ikmny GMty q`k ti.vi. dyikaw? (b) 4 GMitAW qon G`t smyn q`k ikmny ividawrqiaw ny ti.vi. dyikaw? (c) ikmny ividawrqiaw ny ti.vi. dykx lei 5 GMty qon izawdw smw ibqwieaw? 5