wkÿK
wb‡qvM MwYZ cwiÿv 2013 mvj
1+2+3+4+ ...... +20= ?
(n÷2) × (n+1) =( 20÷2)×(20+1) = 10×21=210
wZb mšÍv‡bi eq‡mi Mo 6 ermi I wcZvmn Zv‡`i eq‡mi Mo 13 ermi n‡j wcZvi eqm KZ ?
wZb mbÍv‡bi eqm 3*6 = 18, wcZvmn Zv‡`i eqm 4*13 = 52, wcZvi eqm 52-18 = 34 emi
GKRb ejvi M‡o 20 ivb w`‡q 12 DB‡KU wbj | cieর্তী ‡Ljvq M‡o 4 ivb w`‡q 4 DB‡KU cvb| wZwb M‡o DB‡KU cÖwZ KZ ivb w`‡q‡Qb ?
4 ivb *4 DB‡KU = 16 ivb
GKRb †`vKvb`vi cÖwZ nvwj wWg 25 UvKv `‡i µq K‡i cÖwZ 2 nvwj 56 UvKv `‡i weµq Ki‡j Zvi kZKiv KZ jvf nq ?
2 nwj‡Z jvf nq (25*2) - 56 = 6 UvKv, jvf/ µq gyj¨v * 100%, 6/50*100% = 12% jvf
GKRb †`vKvb`vi 1 WRb ej‡cb 60 UvKvq µq K‡i 72 UvKvq weµq Ki‡j Zvi kZKiv KZ jvf n‡e ?
jv‡fi cwigvb 72 - 60 = 12 UvKv| kZKiv jvf = 12/60*100 = 20%
K I L GK‡Î GKwU KvR 10 w`‡b †kl Ki‡Z cv‡i| L GKv KvRwU 14 w`‡b Ki‡Z cvi‡j K GKv KvRwU KZ w`‡b Ki‡Z cv‡i ?
N1*N2/( N2-N1) = (10*14)/(14-10) = 140/4 = 35 w`b
56 Rb kÖwgK GKwU KvR K‡i 21 w`‡b †kl Ki‡Z cv‡i| 14 w`‡b KvRwU Ki‡Z n‡j bZzb KZ Rb kÖwgK jvM‡e ?
21 w`‡b †kl K‡i 56 Rb
1 ,, ,, ,, 56*21 ,,
14 ,, ,, ,, 1,176/14 =84 Rb|
bZzb kÖwgK jvM‡e = 84-56 = 28 Rb|
1wU iv¯Ív †givgZ Ki‡Z 35 Rb kÖwg‡Ki 12 w`b jv‡M‡j 14 Rb kÖwg‡Ki KZ w`b jvM‡e ?
35*12/14 = 30 w`b
`yBwU ivwki AbycvZ 5t11| DËi ivwk 99 n‡j c~e©ivwk KZ ?
5*9 = 45t 11*9 =99
24 †K 7 t 6 Abycv‡Z e„wØ Ki‡j bZzb msL¨v n‡e
7*4 = 28 t 6*4 =24
1+2+3+4+ .......+18 = ?
18/2 *18+1 , 9*19 = 171
`yB mšÍv‡bi eq‡mi Mo 10 ermi I gvZvmn Zv‡`i eq‡mi Mo 17 ermi n‡j , gvZvi eqm KZ ?
2 mšÍv‡bi eqm 10*2 =20 ermi
gvZvmn Zv‡`i eqm 3*17 = 51 ermi
gvZvi eqm = 51-20 = 31 ermi
wcZv I gvZvi eq‡mi Mo 36 ermi| wcZv gvZv I †g‡qi eq‡mi Mo 29 ermi n‡j †g‡qi eqm KZ ?
wcZv I gvZvi eqm 2*36 = 72 eQi
wcZv , gvZv I †g‡qi eqm 3*29 = 87 eQi
‡g‡qi ehm = 87-72 = 15 eQi
GKRb †evjvi M‡o 22 ivb w`‡q 6wU DB‡KU cvb| cieZ©x †Ljvq M‡o 14 ivb w`‡q 4 wU DB‡KU cvb| wZwb M‡o DB‡KUcÖwZ KZ ivb w`‡q‡Qb ?
22*6 =132 I 14*4= 56 `yB †Ljvq †gvU ivb †`b = 132+56 = 188
DB‡KU cÖwZ ivb †`b = †gU ivb/‡gvU DB‡KU = 188/10 = 18.8
GKRb Kjv we‡µZv 1 nvwj Kjv 20 UvKvq µq K‡i 18 UvKvq weKªq Ki‡j Zvi kZKiv KZ ÿwZ n‡e ?
( ÿwZ g~j¨/ µq g~j¨ )*100% = ( 2/20 )*100% = 10%
75 UvKvq 15wU ej‡cb wK‡b 90 UvKvq weµq Ki‡j kZKiv KZ jvf n‡e ?
( jvf g~j¨/µqg~j¨ )*100 = ( 15/75 )*100% = 20%
GKRb †`vKvb`vi wKQz Wvj 2375 UvKvq weµq Kivq 5% ÿwZ n‡jv| H Wvj KZ UvKvq veµq Ki‡j , Zvi 6% jvf nZ ?
weµq g~j¨* ( jvf mn g~j¨/ ÿwZ g~j¨ ) = 2375*( 106/95 ) = 2650 {100 UKvq jvf nq 6 UvKv , jvf mn g~j¨ 100+6 = 106 UvKv| Abyiæc fv‡e ÿwZ I }
GKwU iv¯Ív †givgZ Ki‡Z 35 Rb kÖwgK‡i 16 w`b jvM‡j , 28 Rb kÖwg‡Ki KZ w`b jvM‡e ?
35 R‡bi jv‡Mi 16 w`b
1 ,, ,, 16*35 ,,
28 ,, ,, 560/28 = 20 w`b