10:12 AM Math short Question for all |
MwYZ welqK †QvU cÖkœ ·
mn †gŠwjKt `ywU msL¨vi g‡a¨ 1 wfbœ Ab¨ †Kvb
mvaviY ¸YbxqK bv _vK‡j †mB msL¨v `y‡Uv‡K mn †gŠwjK msL¨v e‡j| †hgb t 2 I 3| ·
g~j` msL¨v (Rational number) †h msL¨v‡K `ywU c~Y© msL¨vi AbycvZ
(ïb¨ Øviv fvM e¨ZxZ) wn‡m‡e cÖKvk Kiv hvq Zv‡K g~j` msL¨v e‡j| (cÖK…Z I AcÖK…Z
fMœvs‡ki meB g~j` ms¨Lv)| ·
Ag~j` msL¨v(Irrational Number) t)†h msL¨v‡K AbycvZ AvKv‡i
cÖKvk Kiv hvqbv ev †h msL¨vi `kwgK AvKv‡i A‡cŠbtcywbK I Amxg Zv‡K Ag~j` msL¨v
e‡j| c~Y©eM© bq Ggb †h †Kvb ¯^vfvweK msL¨vi eM©g~j Ag~j` msL¨v| †hgb √6Ag~j`| ·
‡gŠwjK
w؇RvU t `ywU †gŠwjK msL¨vi Aš—i 2 n‡j Zv‡K †gŠwjK w؇RvU e‡j| †hgb 15 I 17| ·
‡gŠwjK w·RvU t wZbwU †gŠwjK msL¨vi Aš—i hw` 2 nq
Z‡e Zv‡K †gŠwjK w·RvU msL¨v e‡j| †hgb : 7,9,11| ·
c~Y© msL¨v (Integer Number) t a,-2,-1,-0,1,2,..... msL¨v ¸‡jv‡K c~Y©
msL¨v e‡j| msL¨v ¸‡jv‡K c~Y©
msL¨v ev Integer e‡j| ·
RwUj ivwk t ev¯—e I Aev¯—e msL¨vi exRMwbZxq
mgwó‡K RwUj ivwk e‡j| †hgb t BZ¨vw`| ·
cÖvK…wZK msL¨v (Natural Number) t ïY¨
†_‡K Amxg ch©š— mKj abvZ¥K c~Y© msL¨vB cÖvK…wZK msL¨v ev Natural Number | Ab¨vb¨ 1,2,3,..... msL¨v¸‡jv‡K
¯^vfvweK msL¨v ev Natural Number ev cÖvK…wZK msL¨v e‡j| ·
K…wÎg msL¨v (Composite Number) t ‡h mKj
msL¨v 1 Ges †mB msL¨v e¨ZxZ Ab¨ msL¨v ØvivI wbt‡k‡l wefvR¨ †m¸‡jv‡K K…wÎg msL¨v
e‡j| †hgb 4,8 BZ¨vw`| ·
ev¯—e msL¨v (Real Number) t †h
ivwki eM© abvZ¥K Zv‡KB ev¯—e msL¨v e‡j| †hgb BZ¨vw`| ·
Aev¯—e msL¨v (Complex Number) t ‡h
ivwki eM© FYvZ¥K Zv‡KB Aev¯—e msL¨v e‡j| ·
‡gŠwjK msL¨v (Prime Number) t †h
mKj msL¨v 1 Ges †mB msL¨v Qvov Ab¨ †Kvb msL¨v Øvev wbt‡k‡l wefvR¨ bq H mKj
msL¨v‡K †gŠwjK msL¨v ev Prime Number e‡j| †hgb : 2,3,5 BZ¨vw`| ·
msL¨vt GKvwaK AsK cvkvcvwk e‡m
msL¨vi m„wó K‡i| ‡hgb: 2000,333 BZ¨vw`| ·
AsKt 0 †_‡K 9 ch©š— GB 10wU cÖZxK
ev wPý‡K c„_K fv‡e AsK e‡j| MwY‡Zi g~j msL¨v `kwU ,0,1,2,3,4,5,6,7,8,9| ·
hyM¥ msL¨v (Even Number)t ‡h
msL¨v 2 Øviv wefvR¨ Zv‡K hyM¥ msL¨v ev †hvM msL¨v ev Even Number e‡j|
†hgb 4,6,8 BZ¨vw`| ·
AhyM¥ msL¨v (Odd Number)t †h
msL¨v 2 Øviv wefvR¨ bq Zv‡K AhyM¥ msL¨v ev we‡Rvo msL¨v ev Odd Number e‡j| ‡hgb:
3,5,7 BZ¨vw`| ·
¸YbxqKt GKwU msL¨v‡K hZ¸wj msL¨v Øviv
wbt‡k‡l evM Kiv hvq Zv‡`i cÖ‡Z¨KwU‡KB ¸YbxqK e‡j| ·
¸wYZKt GKwU msL¨v‡K hZ¸‡jv msL¨v Øviv
¸Y Kiv hvq ZZ¸‡jv ¸Ydj cvIqv hvq| GB& ¸Ydj ¸‡jv msL¨vi ¸wYZK| ‡hgb :
9,18,27,36 BZ¨vw`| ·
‡gŠwjK msL¨v wbY©‡qi mnR c×wZt n Gi gvb
1-40 ch©š— n‡j {n(n-1)+41}
msL¨v¸‡jv Aek¨B †gŠwjK msL¨v| †hgb: n=2 n‡j 43 msL¨vwU Aek¨B †gŠwjK msL¨v| Avevi 2,3,4I 7
Øviv †hmKj ¯^vfvweK msL¨v wefvR¨ bq †m¸‡jv Aek¨B †gŠwjK msL¨v n‡e| †hgb 23
msL¨vwU †gŠwjK| Avevi †Kvb msL¨vi GKK ¯’vbxq AsK 1,3,7,9 n‡j msL¨vwU †gŠwjK
msL¨v n‡Z cv‡i| Avevi †Kvb msL¨vi AsK ¸‡jvi mgwó †gŠwjK msL¨v n‡j msL¨vwU
†gŠwjK msL¨v n‡Z cv‡i| ·
cvkvcvwk `ywU msL¨vi †hvMdj Ges msL¨v `ywUi e‡M©i
Aš—i mgvb nq| †hgb: 4I5 Gi †hvMdj 9| Avevi 16 I 25 Gi Aš—i 9| ·
‡h msL¨vi †kl AsK 5 Zv 5 Øviv wefvR¨ | ·
‡h msL¨vi †kl AsK †Rvo msL¨v Zv 2 Øviv wefvR¨| ·
‡h msL¨vi †kl `ywU As‡Ki MwVZ msL¨v 4 Øviv wefvR¨
Zv 4 Øviv wefvR¨| ·
‡h msL¨vi †kl wZbwU AsK 000 †mB msL¨v 1000,125 I
8 Øviv wefvR¨| ·
‡h msL¨vi †kl wZbwU As‡K MwVZ msL¨v 8 Øviv wefvR¨
Zv 8 Øviv wef¨vR¨ n‡e| ·
‡h msL¨vi AsK ¸‡jvi mgwó 9 Øviv wefvR¨ Zv 9 Øviv
wefvR¨| ·
cÖK…Z fMœvskt †h fMœvs‡ki je ni
A‡c¶v †QvU Zv‡K cÖK…Z fMœvsk e‡j| †hgb : ·
AcK…Z fMœvskt †h fMœvs‡ki je ni
A‡c¶v eo Zv‡K AcÖK…Z fMœvsk e‡j | †hgb: ·
wgkª fMœvsk t †h fMœvsk c~Y©msL¨vi
mv‡_ hy³ Zv‡K wgkª fMœvsk e‡j| †hgb: ·
mij fMœvskt †h fMœvs‡k ïay
¯^vfvweK msL¨vi ni I je _v‡K Zv‡`i‡K mij fMœvsk e‡j| †hgb: ·
RwUj fMœvskt ni ev je DfqB ev †h
†Kvb GKwU mij fMœvsk Øviv MwVZ n‡j Zv‡K RwUj fMœvsk e‡j | †hgb : ·
‡hŠwMK fMœvskt †h fMœvs‡ki ni Ges je
DfqB ev †h †Kvb GKwU‡Z wbw`©ó Kvh©wewa _v‡K Zv‡K †hŠwMK fMœvsk e‡j| †hgb : |
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