JSC Math Suggestions 2016 (01)

                         A¨vwmIi GKv‡WwgK †KvwPs
‡RGmwm mv‡RkÝ - 2016

welqt MwYZ
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(K) cvwUMwYZ
1| bvwmgv †eMg †Kv‡bv e¨vsK †_‡K 5,000 UvKv Rgv †i‡L 3 eQi ci gybvdv mn 6,200 UvKv †c‡q‡Qb|
(K)  mij gybvdvi nvi †ei Ki|
(L) AviI 2 eQi c‡i gybvdv - Avmj KZ n‡e?
(M) e¨vs‡K RgvK…Z UvKv GKB nv‡i Pµe„w× gybvdvq Rgv ivL‡j 3 eQi c‡i Pµe„w× g~jab KZ n‡e?
2| GKwU AvqZvKvi evMv‡bi ˆ`N©¨ cÖ‡¯’i 3 ¸Y| Gi †ÿÎdj 147 eM©wgUvi| evMv‡bi evB‡i Pvwiw`‡K 2 wgUvi PIov GKwU iv¯Ív Av‡Q|
(K)  evMv‡bi †ÿÎdj eM©‡mw›UwgUv‡i cÖKvk Ki|
(L) evMv‡bi cwimxgv wbY©q Ki|
(M) cÖwZ eM©wgUvi 5 UvKv wnmv‡e cv_i w`‡q euvav‡Z †gvU KZ UvKv LiP n‡e?
3| Kvgvj mv‡ne e¨vs‡K wbw`©ó nvi gybvdvq 4,000 UvKv Rgv ‡i‡L 3 eQi ci gybvdv - Avm‡j 5,500 UvKv †c‡jb|
(K)  p UvKvq r% nvi gybvdvq n eQ‡ii mij gybvdv I Pµe„w× gybvdv KZ n‡e?   
(L) Kvgvj mv‡ne KZ nvi gybvdvq H e¨vs‡K UvKv Rgv †i‡LwQ‡jb?
(M) Kvgvj mv‡ne Ab¨ †Kvb e¨vs‡K H GKB nvi gybvdvq KZ UvKv Rgv ivL‡j 5 eQi ci gybvdv-Avm‡j 16,250 UvKv n‡e?
4| wg. wbRvg 10% gybvdvq 5,000 UvKv 3 eQ‡ii Rb¨ e¨vs‡K Rgv ivL‡jb|
(K)  Pµe„w×i †ÿ‡Î ¯^e„w×g~j c n‡j, c wbY©‡qi m~ÎwU wjL|
(L) 3 eQ‡i wg. wbRv‡gi gybvdv KZ n‡e?
(M) 5 eQi c‡i Zvi Pµe„w× nv‡i ¯^e„w×g~j KZ n‡e?
5| ‡Kvb Avmj 4 eQ‡i my‡`-Avm‡j 10,800 UvKv nq| gybvdv Avm‡ji 2/7  Ask|
(K)  cÖZx‡Ki cwiPqmn Pµe„w× gybvdv wbY©‡qi m~ÎwU †jL|
(L) Avmj Ges gybvdvi nvi wbY©q Ki|
(M) D³ gybvdv-Avmj‡K g~jab a‡i 10% nv‡i 3 eQ‡ii Pµe„w× gybvdv I mij gybvdvi cv_©K¨ wbY©q Ki|
6| evwl©K 8% nvi gybvdvq 600 UvKv Ges 7% nvi gybvdvq 600 UvKv wewb‡qvM Kiv  n‡jv|
(K)  mij gybvdv I Pµe„w× gybvdvi m~Î †jL|
(L) Mo gybvdvi nvi KZ?
(M) Mo gybvdvq KZ eQ‡i H g~jab gybvdv-Avm‡j wظY n‡e?
7| AvqZvKvi GKwU †ÿ‡Îi †ÿÎdj 20 GKi Ges Zvi ˆ`N¨© cÖ‡¯’i 4 ¸Y| 
(K)  AvqZvKvi †ÿÎwUi †ÿÎdj KZ eM©wgUvi?
(L) AvqZvKvi †ÿÎwUi ˆ`N©¨ wbY©q Ki|
(M) AvqZvKvi †ÿÎwUi †ÿÎdj KZ GKi Zv wbY©q Ki|
8| †mvbv cvwbi Zzjbvq 19.3 ¸Y fvwi| AvqZvKvi GKwU †mvbvi cv‡Îi ˆ`N¨© 7.8 †mwg. cÖ¯’ 6.5 †mwg. Ges D”PZv 2.5 †mwg.| 
(K)  †mvbvi ev‡ii AvqZb KZ?
(L) †mvbvi eviwUi mg-AvqZb cvwbi fi †KwR‡Z wbY©q Ki|
(M) ‰`N¨© 5 †mwg. I cÖ¯’ 2.5 ‡mwg. wewkó †mvbvi evi KZ…©K AcmvwiZ cvwb Øviv fwZ© Ki‡j cvwbi D”PZv KZ?
9| †Kvb kn‡ii eZ©gvb RbmsL¨v 50,000| H kn‡ii RbmsL¨v e„w×i nvi 20 Rb|
(K)  RbmsL¨v e„w×i nvi kZKiv KZ?
(L) 5 eQi ci H kn‡ii RbmsL¨v KZ n‡e?
(M) mij nv‡i KZ eQ‡i H kn‡ii RbmsL¨v wظY n‡e?
10| 1,2,3,4,5,6,7,8,9 K‡qKwU µwgK ¯^vfvweK msL¨v|
(K) cÖ`Ë msL¨v¸‡jvi 1g I 9g msL¨vi mgwó wbY©q Ki|
(L) cÖ`Ë msL¨v¸‡jvi gva¨‡g cÖ_g n msL¨K ¯^vfvweK msL¨vi mgwó wbY©‡qi m~Î wbY©q Ki|
(M) cÖvß m~Î Øviv cÖ_g 100 wU msL¨vi mgwó I cÖ_g 50 wU msL¨vi mgwói we‡qvMdj wbY©q Ki|
11| 2,5,10,17,26, ..... n‡jv GKwU msL¨v c¨vUvb©|
(K) c¨vUvb©wUi cvkvcvwk `yBwU msL¨vi cv_©K¨¸‡jv †jL|
(L) 1g †_‡K 20 Zg cv_©K¨ ch©šÍ cv_©K¨¸‡jvi †hvMdj wbY©q Ki|
(M) GKwU AvqZvKvi N‡ii ˆ`N¨© cÖ‡¯’i Pvi¸Y Ges †ÿÎdj ZvwjKvi 3q msL¨v h‡Zv Z‡Zv GKi n‡j †ÿÎwUi cwimxgv KZ wgUvi|
12| wiqvR mv‡ne evwl©K 12.50% gybvdvq 3 eQ‡i 1200 UvKv wRwc dv‡Û Rgv K‡ib|
(K) mij gybvdv wbY©‡qi m~ÎwU e¨vL¨v Ki|
(L) mij gybvdv-Avmj wbY©q Ki|
(M) Pµe„w× gybvdv I mij gybvdvi cv_©K¨ wbY©q Ki|
13| 2.5 wgUvi Mfxi GKwU eM©vK…wZi †Lvjv †PŠev”Pvq 28,900 wjUvi cvwb a‡i|
(K) †PŠev”PvwUi AvqZb KZ NbwgUvi|
(L) ‡PŠev”PvwUi f~wgi †ÿÎdj I ˆ`N¨© wbY©q Ki|  
(M) Gi wfZ‡ii w`‡K cÖwZ eM©wgUv‡i 50 UvKv `‡i is Ki‡Z †gvU KZ UvKv e¨q n‡e?
14| GKwU wÎfzRvK…wZ †ÿ‡Îi †ÿÎdj 216 eM©wgUvi Ges f~wg 18 wgUvi| wÎfzRvK…wZ †ÿÎwUi †ÿÎdj GKwU AvqZvKvi N‡ii †ÿÎd‡ji mgvb| AvqZvKvi N‡ii ‰`N¨© cÖ‡¯’i †`o¸Y|
(K) wÎfzRvK…wZ †ÿÎwUi D”PZv wbY©q Ki|
(L) AvqZvKvi N‡ii ‰`N©¨ I cÖ¯’ wbY©q Ki|
(M) AvqZvKvi N‡ii cwimxgvi mgvb cwimxgv wewkó GKwU eM©‡ÿ‡Îi †ÿÎdj wbY©q Ki|
15| GKwU `ªe¨ Drcv`bKvix 20%, cvBKvwi we‡µZv 10% Ges LyPiv we‡µZv 25% jv‡f weµq K‡i| LyPiv we‡µZv ZvwjKvq wjwLZ g~‡j¨i 20% Kwgkb †`q| LyPiv we‡µZvi weµqg~j¨ 8250 UvKv|
(K) LyPiv we‡µZvi µqg~j¨ wbY©q Ki|
(L) `ªe¨wUi Drcv`b LiP KZ?
(M) LyPiv we‡µZv ZvwjKvq µqg~‡j¨i Dci kZKiv KZ †ewk g~j¨ avh© K‡iwQj?
16| eveyj mv‡ne 8% ÿwZ‡Z GKwU QvMj weµq K‡ib| wKš‘ QvMjwU 800 UvKv †ewk g~‡j¨ weµq Ki‡j Zvi 8% jvf n‡Zv| cieZx©‡Z wZwb QvMjwUi µqg~‡j¨i mgcwigvY UvKv evwl©K 10% gybvdvq 3 eQ‡ii Rb¨ e¨vs‡K Rgv ivL‡jb|
(K) 8% mij gybvdvq 800 UvKvi 3 eQ‡ii gybvdv wbY©q Ki|
(L) QvMjwUi µqg~j¨ wbY©q Ki|
(M) D³ UvKv e¨vs‡K Rgv ivL‡j mij gybvdv I Pµe„w× gybvdvi cv_©K¨ KZ n‡e? 

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