ages

4
www.sakshieducation.com www.sakshieducation.com www.sakshieducation.com 1. A, B Ð]lĶæ$-çÜ$-Ë- °çÙμ-†¢ 3 : 4, Ðéǧýlª-Ç Ð]lĶæ$-çÜ$-Ë Ððl¬™èl¢… 63 Hâñæ•Ï-™ól A, BË Ð]lĶæ$-çÜ$-Ë$ G…™ðl…™èl? G) 24, 36 Hâ æ$Ï ¼) 27, 36 Hâ æ$Ï í Ü) 30, 40 Hâæ$Ï yì l) 40, 23 Hâæ$Ï Ý뫧ýl¯]l: A, BË Ð] æ$- ç Ü$- Ë °ç Ùμ- ¢ = 3 : 4 A Ð] æ$- ç Ü$ = 3x ; B Ð] æ$- ç Ü$ = 4x ÐéÇ Ð] æ$- ç Ü$- Ë Ðð l¬™è l¢ … = 63 Hâæ$Ï 3x + 4x = 63 ; 7x = 63 x = 63/7 = 9 A Ð] æ$- ç Ü$ = 3x = 3×9 = 27 Hâ¶æ$Ï B - Ð] l- Äæ$- ç Ü$- = 4x = 4×9 = 36 -H-â¶æ$Ï çÜÐ]l*-«§é-¯]l…: ¼ 2. A, B, CË Ð]lĶæ$-çÜ$-Ë °çÙμ-†¢ 2 : 3 : 4, ÐéÇ Ð]lĶæ$-çÜ$- Ë Ððl¬™èl¢… 72 Hâ¶æ$Ï. I™ól 6 Hâ¶æÏ ™èlÆ>Ó-™èl C -Ð]l-Ķæ$-òÜ…™èl? G) 32 Hâæ$Ï ¼) 26 Hâæ$Ï í Ü) 38 Hâ æ$ Ï yì l) 40 Hâæ$Ï çÜÐ]l*-«§é-¯]l…: íÜ 3. ¯]l-Æó‡-¯Œl, ç³ËÏ-Ñ-Ë Ð]lĶæ$-çÜ$-Ë °çÙμ-†¢ 5 : 7, Ðé-ǧýlªÇ Ð]lĶæ$- çÜ$-Ë ¿ôæ§ýl… 4 Hâ¶æ$Ï. I™ól Ð]lÊyól-â¶æÏ {MìS™èl… ç³ËÏÑ Ð]lĶæ$- òÜ…™èl? G) 15 Hâ æ$Ï ¼) 11 Hâ æ$Ï í Ü) 14 Hâ æ$Ï yì l) 16 Hâæ$Ï Ý뫧ýl¯]l: ¯]lÆó‡-¯Œl, ç³ËÏ-Ñ-Ë -Ð]l-Ķæ$-çÜ$-Ë °çÙμ-†¢ = 5:7 ¯] ó - ¯Œ l Ð] æ$- ç Ü$ = 5x ç ³ËÏ - Ñ Ð] æ$- ç Ü$ = 7x ÐéÇ Ð] l$« §ý lÅ ¿ô æ§ý l… = 4 Hâæ$Ï 7x – 5x = 4 2x = 4 x = 2 Hâ¶æ$Ï ç ³ËÏ - Ñ Ð] æ$- ç Ü$ = 7x = 7×2 = 14 Hâ¶æ$Ï Ð]lÊyól-â¶æÏ {MìS™èl… ç³ËÏ-Ñ Ð]lĶæ$-çÜ$ = 14–3 = 11 Hâ¶æ$Ï çÜ-Ð]l*-«§é-¯]l…: ¼ 4. °†-¯Œl, {çÜÐ]l…†-Ë Ð]lĶæ$-çÜ$-Ë °-çÙμ-†¢ 5 : 6. 6 Hâ¶æÏ ™èlÆ>Ó- ™èl °†-¯Œl Ð]lĶæ$-çÜ$ 26 Hâ¶æ$Ï AÐ]l#-™èl$…¨. I-™ól 6 Hâ¶æÏ {MìS™èl… {çÜÐ]l…†- Ð]lĶæ$-òÜ…™èl? G) 18 Hâ æ$ Ï ¼) 24 Hâæ$Ï í Ü) 30 Hâ æ$ Ï yì l) 36 Hâæ$Ï Ý뫧ýl¯]l: °†-¯Œl, {çÜÐ]l…†-Ë Ð]lĶæ$-çÜ$-Ë °çÙμ-†¢ = 5:6 °†- ¯Œ l Ð] æ$- ç Ü$ = 5x {ç ÜÐ] l…† Ð] æ$- ç Ü$ = 6x 6 HâæÏ è lÆ>Ó- è l °†- ¯Œ l Ð] æ$- ç Ü$ = 26 Hâæ$Ï 5x + 6 = 26 5x = 26–6 5x = 20 x = 4 {ç ÜÐ] l…† Ð] æ$- ç Ü$ = 6x = 6×4 = 24Hâ¶æ$Ï 6 HâæÏ {Mì S™è l… {ç ÜÐ] l…† Ð] æ$- ç Ü$ = 24–6 = 18 æ$Ï çÜÐ]l*-«§é-¯]l…: G 5. J-MýS ™èl…{yìl Ð]lĶæ$-çÜ$ MýS$Ð]l*-Æý‡$-yìl Ð]lĶæ$-çÜ$MýS$ 4 Æð‡r$Ï. ÐéǧýlªÇ Ð]lĶæ$-çÜ$-Ë Ëºª… 196. I™ól I§ól-â¶æÏ ™èlÆ>Ó-™èl ÐéÇ Ð]lĶæ$-çÜ$-Ë °çÙμ†¢ G…™èl? G) 33 : 7 ¼) 11 : 4 í Ü- ) 13 : 11 y ì l) 15 : 7 Ý뫧ýl¯]l: MýS$Ð]l*-Æý‡$-yìl Ð]lĶæ$-çÜ$ = x A¯]l$-MýS$…sôæ.. è l…{yì l Ð] æ$- ç Ü$ = 4x AÐ]l#-™èl$…¨. Ð]lĶæ$çÜ$ËOò³ çÜÐ]l$çÜÅË$

Upload: glreddy09

Post on 02-Oct-2015

212 views

Category:

Documents


0 download

DESCRIPTION

telugu

TRANSCRIPT

  • www.sakshieducation.com

    www.sakshieducation.com

    www.sakshieducation.com

    1. A, B ]l$-$-- - 3 : 4, l- ]l$-$-ll 63 H-l A, B ]l$-$-$ Gll?G) 24, 36 H$ ) 27, 36 H$) 30, 40 H$ yl) 40, 23 H$

    l]l:A, B ]l$-$- - = 3 : 4A ]l$-$ = 3x ; B ]l$-$ = 4x ]l$-$- ll = 63 H$3x + 4x = 63 ; 7x = 63x = 63/7 = 9A ]l$-$ = 3x = 39 = 27 H$B -]l-$-$- = 4x = 49 = 36 -H-$]l*--]l:

    2. A, B, C ]l$-$- - 2 : 3 : 4, ]l$-$- ll 72 H$. Il 6 H l>-l C --]l-$-l?G) 32 H$ ) 26 H$) 38 H$ yl) 40 H$]l*--]l:

    3. ]l--l, -- ]l$-$- - 5 : 7, -l ]l$-$- l 4 H$. Il ]lyl- {MSl ]l$-l?G) 15 H$ ) 11 H$) 14 H$ yl) 16 H$

    l]l:]l- l, -- -]l-$-$- - = 5:7]l- l ]l$-$ = 5x- ]l$-$ = 7x ]l$l l = 4 H$

    7x 5x = 4 2x = 4 x = 2 H$- ]l$-$ = 7x = 72 = 14 H$]lyl- {MSl - ]l$-$ = 143 = 11 H$-]l*--]l:

    4. -l, {]l- ]l$-$- -- 5 : 6. 6 H l>-l -l ]l$-$ 26 H$ A]l#-l$. I-l 6 H {MSl{]l- ]l$--l?G) 18 H$ ) 24 H$) 30 H$ yl) 36 H$

    l]l:- l, {]l- ]l$-$- - = 5:6- l ]l$-$ = 5x{]l ]l$-$ = 6x6 H l>-l - l ]l$-$ = 26 H$5x + 6 = 26 5x = 2665x = 20 x = 4{]l ]l$-$ = 6x= 64 = 24H$6 H {MSl {]l ]l$-$ = 246 = 18 H$ ]l*--]l: G

    5. J-MS l{yl ]l$-$ MS$]l*-$-yl ]l$-$MS$ 4 r$.l ]l$-$- 196. Il Il- l>-l ]l$-$- Gl?G) 33 : 7 ) 11 : 4-) 13 : 11 yl) 15 : 7

    l]l:MS$]l*-$-yl ]l$-$ = x A]l$-MS$s..l{yl ]l$-$ = 4x A]l#-l$.

    ]l$$O ]l$$

  • www.sakshieducation.com

    ]l$-$- = 196 H$;4x x = 196; 4x2 = 196x2 = 49 x = 7l{yl, MS$]l*-$-yl ]l$-$-$ = 4x, x= 28 H$, 7 H$Il- l>-l ]l$-$- - = (28+5) :(7+5) = 11 : 4]l*--]l:

    6. J-MS -MS*-l$- ]l$-$ -l- ]l$-$-Z 3/5 ]ll$E. l ]l$-$- 1500. Il l-{MSl l, MS*l$- ]l$-$- -- Gl?G) 2 : 1 ) 3 : 1) 4 : 1 yl) 5 : 3]l*--]l: G

    7. l- l->-l s A ]l$-$, l- {MSl s B]l$-$-MS$ yll-$. A ]l$-$ B MS-s 9 H$GMS$P--Ol-l B ]l$-l?G) 29 H$ ) 39 H$) 49 H$ yl) 59 H$

    l]l:B ]l$-$ = x H$ A ]l$-Ms..A ]l$-$ = (x + 9) H$(x + 9 + 10) = 2(x 10)x + 19 = 2x 20 19 + 20 = 2x xx = 39]l*--]l:

    8. B- {MSl MS]l$- - f-W. Bl$ {$-l]l$-$, - s --]l-$--$-MS$ 11/4 r$ E.Bl$ MS$]l*- ]l$-$ B-l$ ]l$-$-Z 1/10 ]ll$

    E. Il Bl$ MS$]l*- ]l$-l?G) 2 H$ ) 3 H$) 4 H$ yl) 5 H$

    l]l:- s-MS MS-]l$- ]l$-$ = x H$ A ]l$-MS$s..

    {$-l MS]l$- ]l$-$ =

    x = 24

    {$-l MS]l$- ]l$-$ =

    = 30 H$

    Bl$ MS$]l*- ]l$-$ = H$

    ]l*--]l:

    9. A, B ]l$-$- -- 3 : 4. Il- {MSl ]l$-$- - 5 : 7. Il B ]l$-l?G) 30 H$ ) 40 H$) 45 H$ yl) 50 H$

    l]l:A, B ]l$-$- - = 3 : 4A ]l$-$ = 3x; B ]l$-$ = 4xIl- {MSl ]l$-$- - 5 : 7 (3x5) : (4x5) = 5 : 7(4x5)5 = 7(3x5)20x25 = 21x353525 = 21x20x 10 = x

    3 010

    3=

    1 5 51 244 4 4

    x x= =

    5 5 46 64 4

    x xx x

    = =

    5 64

    x x= +11 64

    x x= +

    114

    x

    www.sakshieducation.com

    www.sakshieducation.com

  • www.sakshieducation.com

    B ]l$-$ = 4x = 410 = 40 H$]l*--]l:

    10. P, Q ]l$-$- - 4 : 5. l- l>-l -]l$-$- - 5 : 6 A]l#-l$. Il P -]l-$-l?

    G) 30 H-$ ) 35 H-$) 40 H-$ yl) 45 H-$]l*--]l:

    11. yl- {MSl l{yl ]l$-$, MS$]l*-$-yl ]l$-$MS$B$ r$ E. 18 H l>-l l{yl ]l$-$,MS$-]l*-$-yl ]l$-$MS$ yll-$ A]l#-l$.- Il ]l$-$-$ Gll?

    G) 30, 6 H-$ ) 32, 5 H-$) 40, 8 H-$ yl) HM>l$]l*--]l: C

    12. J-MS l{yl ]l---$-$ C-l- MS$]l*-$- ll ]l$-$MS$ ]lyl-l-$ E. ]lyl-- l>-l l{yl]l$-$ Cl MS$]l*-$- ll ]l$-$-MS$ yll-$ A]l#-l$. Il l{yl ]l$-l?

    G) 27 H-$ ) 30 H-$) 45 H-$ yl) 48 H-$

    l]l:Cl- MS$]l*-$- ]l$-$- ll =x -H-$ A ]l$-MS$s..l{yl ]l$-$ = 3x H-$]lyl- l>-l l{yl -]l-$-$ Cl- MS$]l*-$-]l$-$- l--MS yll-$... (3x + 3) : (x + 3 + 3) = 2 : 1(3x + 3) 1 = (x + 6) 2

    3x + 3 = 2x + 12x = 9l{yl ]l$-$ = 3x = 39 = 27 H-$]l*--]l: G

    13. l{yl ]l$-$, -MS$-]l*-$-yl ]l$-$-MS$ 4 r$- E.Il- {MSl ]l$-$- ll 40 H$. Ill{yl ]l$-l?

    G) 32 H-$ ) 36 H-$) 40 H-$ yl) 45 H-$

    l]l:MS$]l*-$-yl ]l$-$ = x A-]l$-MS$s..l{yl ]l$-$ = 4x(4x5) + (x5) = 405x10 = 40 5x = 40+10 5x = 50 x = 50/5 = 10l{yl ]l$-$ = 4x= 410 = 40 H-$]l*--]l:

    14. l-{yl, MS$]l*-$yl ]l$-$- ll 56 H$. $-VS- l>-l l{yl ]l$-$ MS$]l*-$-yl ]l$-$MS$]lyll-$ A--]l#-l$. Il ]l$-$-$Gll?

    G) 48, 16 H$ ) 44, 12 H$) 40, 16 H$ yl) 45, 11 H$

    l]l:$-VS- l>-l MS$-]l*-$-yl ]l$-$ = x A-]l$MS$s..$-VS- l>-l l{yl ]l$-$ = 3x{$-l MS$]l*-$-yl ]l$-$ = x 4{$-l l{yl ]l$-$ = 3x 4

    www.sakshieducation.com

    www.sakshieducation.com

  • www.sakshieducation.com

    l ]l$-$- ll = 56 H$(3x 4) + (x 4) = 564x8 = 56 4x = 56 + 8x = 64/4 = 16-{-$-l MS$]l*-$-yl ]l$-$ = x 4= 16 4 = 12 H${$-l l{yl ]l$-$ = 3x4= 316 4 = 44 H$

    ]l*--]l:

    15. l{yl, MS$]l*-$-yl ]l$-$- ll 45 H$. Il-{MSl l ]l$-$- B s l{yl ]l$-$MS$ 4 r$ E. -I-l l{yl, MS$]l*-$-yl ]l$-l?

    G) 33, 12 H$ ) 36, 9 H$) 40, 5 H$ yl) 39, 6 H$

    l]l:MS$]l*-$-yl ]l$-$ = x H$ A- ]l$-MS$s..l{yl ]l$-$ = 45 x A-]l#-l$.l {M> Il- {MSl ]l$-$- l{yl ]l$$MS$ 4 r$(45 x 5) (x 5) = 4(45 x 5) x 5 = 4MS$]l*-$-yl ]l$-$ x = 9l{yl ]l$-$ = 45 x= 459 = 36 H$--]l*--]l:

    16. VS$--j- ]l$-$ ]l$_ B-$ , 18 WA-l-yl ]l$-]l$-]l$-yl$ A]l*- ]l$-$ ]l$. A]l*-]l$$ ]l$- ]l$-$ MSs yl-$ lMS$P-]l.]l$- ]l$-$ I-l--l VS$j- ]l$-l?

    G) 54 H$ ) 60 H$) 65 H$ yl) 70 H$]l*--]l:

    17. l- {MSl l{yl ]l$$ Myl$-MS$ ]l$-$-MS$ ]l-yl$r$. l- l>-l l{yl ]l$-$ Myl$-MS$ ]l$-$-MS$st# A]l#l$. {$--l ]l$-$- -?

    G) 5 : 2 ) 7 : 3) 9 : 2 yl) 13 : 4 ]l*--]l:

    www.sakshieducation.com

    www.sakshieducation.com