{"id":1466,"date":"2018-10-05T01:53:25","date_gmt":"2018-10-04T21:53:25","guid":{"rendered":"http:\/\/yusif.az\/main\/?p=1466"},"modified":"2018-10-05T01:53:43","modified_gmt":"2018-10-04T21:53:43","slug":"m%c9%99ntiqd%c9%99n-yas-m%c9%99s%c9%99l%c9%99l%c9%99rinin-h%c9%99ll-qaydasi","status":"publish","type":"post","link":"https:\/\/yusif.az\/main\/?p=1466","title":{"rendered":"M\u0259ntiqd\u0259n Ya\u015f M\u0259s\u0259l\u0259l\u0259rinin h\u0259ll Qaydas\u0131"},"content":{"rendered":"
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M\u0259ntiqd\u0259n Ya\u015f M\u0259s\u0259l\u0259l\u0259rinin h\u0259ll Qaydas\u0131<\/strong><\/h3>\n

 <\/p>\n

1. Atan\u0131n ya\u015f\u0131 \u00fc\u00e7 o\u011flunun ya\u015flar\u0131 c\u0259mind\u0259n 8 vahid b\u00f6y\u00fckd\u00fcr. Ortanc\u0131l\u0131n ya\u015f\u0131 balacan\u0131n ya\u015f\u0131n\u0131n 3 mislind\u0259n 1 vahid \u00e7ox, b\u00f6y\u00fckd\u0259n is\u0259 2 il ki\u00e7ikdir. Atan\u0131n 40 ya\u015f\u0131 oladu\u011funa g\u00f6r\u0259, b\u00f6y\u00fck o\u011flan\u0131n ne\u00e7\u0259 ya\u015f\u0131 oldu\u011funu tap\u0131n.<\/strong><\/p>\n

A) 11 B) 13 C) 15 D) 18 E) 16<\/p>\n

 <\/p>\n

H\u0259lli:<\/span><\/h4>\n

\u00dc\u00e7 o\u011fulun indiki ya\u015f\u0131na X des\u0259k, o zaman Atan\u0131n ya\u015f\u0131 (X-8) olacaq. Daha sonra deyil\u0259nl\u0259r\u0259 \u0259sas\u0259n O\u011flanlar\u0131n ya\u015flar\u0131n\u0131 X1, X2, X3 kimi yazsaq \u015f\u0259rtimiz\u0259 \u0259sas\u0259n ortanc\u0131l\u0131n ya\u015f\u0131 X2 oldu\u011funu biliriks\u0259 v\u0259 \u015f\u0259rtimiz\u0259 g\u00f6r\u0259 X2=X1*3+1 oldu\u011funu X2=X3-2 oldu\u011funu yaza bil\u0259rik v\u0259 sonra deyir Atan\u0131n 40 ya\u015f\u0131 varsa dem\u0259li X+8=40-8=32 X1+X2+X3=32, ((X2-1)\/3) +X2+X2+2=32 X2=13 biz\u0259 X3 laz\u0131m oldu\u011funa g\u00f6r\u0259 X2+2=13+2=15 olur. C)<\/p>\n

 <\/p>\n

2. Anan\u0131n ya\u015f\u0131 u\u015fa\u011f\u0131n\u0131n ya\u015f\u0131ndan 5 d\u0259f\u0259 b\u00f6y\u00fckd\u00fcr. 6 il sonra onlar\u0131n ya\u015flar\u0131 f\u0259rqi 24<\/strong><\/p>\n

olarsa, u\u015fa\u011f\u0131n\u0131n haz\u0131rki ya\u015f\u0131 ne\u00e7\u0259dir?<\/strong><\/p>\n

A) 6 B) 4 C) 8 D) 7 E) 5<\/p>\n

H\u0259lli:<\/span><\/h4>\n

U\u015fa\u011f\u0131n ya\u015f\u0131na X des\u0259k Anan\u0131n ya\u015f\u0131 is\u0259 5X olar, 6il sonra ya\u015flar\u0131 f\u0259rqi 24 olarsa deyir bura 6 ild\u0259 olsa 10 ild\u0259 sonra olsa ya\u015flar\u0131 f\u0259rqi 24 olur yani indiki zamanda 24 olur buna \u0259sas\u0259n (5X-X)=24 4X=24 X=6 olur A)<\/p>\n

 <\/p>\n

3. 38 ya\u015f\u0131ndak\u0131 anan\u0131n 3 u\u015fa\u011f\u0131ndan ikisi \u0259kizdir. \u018fkizl\u0259r o biri u\u015faqdan 4 ya\u015f b\u00f6y\u00fckd\u00fcr. \u00dc\u00e7 il sonra, u\u015faqlar\u0131n ya\u015flar\u0131 c\u0259mi anan\u0131n ya\u015f\u0131ndan 3 il \u00e7ox olarsa, ki\u00e7ik u\u015fa\u011f\u0131n haz\u0131rda ne\u00e7\u0259 ya\u015f\u0131 var?<\/strong><\/p>\n

A) 12 B) 11 C) 10 D) 9 E) 8<\/p>\n

H\u0259lli:<\/span><\/h4>\n

Ana U\u015faq 1 \u018fkiz1 \u018fkiz2<\/p>\n

\u0130ndiki 38 X X+4 X+4<\/p>\n

3 il sonra 38+3 X+3 X+4+3 X+4+3<\/p>\n

 <\/p>\n\n\n\n\n\n\n\n
<\/td>\nAna<\/td>\nU\u015faq 1<\/td>\n\u018fkiz1<\/td>\n\u018fkiz2<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
\u0130ndiki<\/td>\n38<\/td>\nX<\/td>\nX+4<\/td>\nX+4<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
3 il sonra<\/td>\n38+3<\/td>\nX+3<\/td>\nX+4+3<\/td>\nX+4+3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

X+3+X+7+X+7=44, 3X=27, X=9, D)4<\/p>\n

    \n
  1. \u0130rad\u0259nin 27 ya\u015f\u0131 var. \u0130rad\u0259 \u00c7inar\u0259nin ya\u015f\u0131nda olark\u0259n, \u00c7inar\u0259nin 9 ya\u015f\u0131 var idi. \u00c7inar\u0259nin haz\u0131rda ne\u00e7\u0259 ya\u015f\u0131 var?<\/strong><\/li>\n<\/ol>\n

    A) 12 B) 15 C) 18 D) 20 E) 21<\/p>\n

    H\u0259lli:<\/span><\/h4>\n\n\n\n\n\n\n\n\n
    <\/td>\n\u0130rad\u0259<\/td>\n\u00c7inar\u0259<\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/tr>\n
    \u0130ndiki<\/td>\n27 ya\u015f<\/td>\nX<\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/tr>\n
    \u018fvv\u0259l<\/td>\nX<\/td>\n9<\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

     <\/p>\n

    Ya\u015flar f\u0259rqi he\u00e7 vaxt deyi\u015fmir buna \u0259sas\u0259n<\/p>\n

    27-X=X-9, 2X=36 X=18 C)<\/p>\n

     <\/p>\n

    5. Atan\u0131n 32, o\u011flunun is\u0259 8 ya\u015f\u0131 var. Ne\u00e7\u0259 ild\u0259n sonra atan\u0131n ya\u015f\u0131 o\u011flunun ya\u015f\u0131n\u0131n 2 misli olar?<\/h5>\n
    A) 8 B) 10 C) 12 D) 14 E) 16<\/h5>\n

    H\u0259lli:<\/span><\/h4>\n
    Ata=32\u00a0 O\u011ful=8 ya\u015f<\/h5>\n
    (32+X)=(8+X)*2 32+X=16+2X,\u00a0 \u00a0 \u00a0X=16 E)<\/h5>\n

     <\/p>\n

    6. \u00dc\u00e7 qarda\u015f\u0131n ya\u015flar\u0131 c\u0259mi 38 \u2013 dir. 10 il sonra onlar\u0131n ya\u015flar\u0131 c\u0259mi ne\u00e7\u0259 olar?<\/strong><\/p>\n

    A) 68 B) 60 C) 64 D) 66 E) 58<\/p>\n

    H\u0259lli:<\/span><\/h4>\n

    X1+X2+X3=38 10 il sonra b\u00fct\u00fcn qarda\u015flar 10 ya\u015f b\u00f6y\u00fcd\u00fcy\u00fc \u00fc\u00e7\u00fcn 38+30=68 olur A)<\/p>\n

     <\/p>\n

    7. Elnurun ya\u015f\u0131 Cavidin ya\u015f\u0131ndan 3 d\u0259f\u0259 \u00e7oxdur. 2 il sonra onlar\u0131n ya\u015flar\u0131 c\u0259mi 44 olarsa, Cavidin haz\u0131rda ne\u00e7\u0259 ya\u015f\u0131 var?<\/strong><\/p>\n

    A) 10 B) 12 C) 14 D) 16 E) 18<\/p>\n

    H\u0259lli:<\/span><\/h4>\n

    Elnur ya\u015f\u0131=3X\u00a0 \u00a0 \u00a0Cavid=X\u00a0 \u00a02 il sonra Elnur olacaq 3X+2, Cavid X+2, 3X+2+X+2=44, 4X=40, X=10 olacaq. A)<\/p>\n

     <\/p>\n

    8. Ata v\u0259 iki o\u011flunun ya\u015flar\u0131 c\u0259mi 42 \u2013 dir. 2 il sonra ata il\u0259 u\u015faqlar\u0131n\u0131n ya\u015flar\u0131 c\u0259mi ne\u00e7\u0259 olar?<\/strong><\/p>\n

    A) 44 B) 46 C) 48 D) 50 E) 52<\/p>\n

    H\u0259lli:<\/span><\/h4>\n

    Ata=X \u0130ki o\u011ful=Y.\u00a0 X+Y=52 olarsa 2il sonra ata 2 il o\u011fullar is\u0259 2 il art\u0131r buna \u0259sas\u0259n 42+2(ata) +2(o\u011ful) +2(o\u011ful)=48 C)<\/p>\n

     <\/p>\n

    9. O\u011ful il\u0259 atan\u0131n ya\u015flar\u0131 nisb\u0259ti dir. 2\/9dir. O\u011ful atas\u0131 ya\u015fda olanda ikisinin ya\u015flar\u0131 c\u0259mi 100 olacaq, atan\u0131n indi ne\u00e7\u0259 ya\u015f\u0131 var?<\/strong><\/p>\n

    A) 28 B) 30 C) 32 D) 36 E) 40<\/p>\n

    H\u0259lli:<\/span><\/h4>\n

    O\u011ful\/Ata=2\/9 O\u011fulun ya\u015f\u0131 olsun 2X Atan\u0131n ya\u015f\u0131 olsun 9X<\/p>\n\n\n\n\n\n\n\n
    <\/td>\nAta<\/strong><\/td>\n<\/td>\nO\u011ful<\/strong><\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
    \u0130ndiki<\/strong><\/td>\n9X<\/strong><\/td>\n<\/td>\n2X<\/strong><\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
    Sonra<\/strong><\/td>\n16X<\/strong><\/td>\n<\/td>\n9X<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

     <\/p>\n

    16X+9X=100, 25X=100, X=4 olarsa Ata 36 olur. D)<\/p>\n

     <\/p>\n

    10. N\u0259zrin do\u011fulanda anas\u0131 20 ya\u015f\u0131nda idi. N\u0259zrinin indiki ya\u015f\u0131 anas\u0131n\u0131n ya\u015f\u0131n\u0131n 1\/5 \u2013 n\u0259 b\u0259rab\u0259rdir. <\/strong><\/p>\n

    N\u0259zrinin ne\u00e7\u0259 ya\u015f\u0131 var?<\/strong><\/p>\n

    A) 3 B) 5 C) 7 D) 9 E) 11<\/p>\n

    H\u0259lli:<\/span><\/h4>\n\n\n\n\n\n\n\n\n
    <\/td>\n<\/td>\nN\u0259zrin<\/strong><\/td>\nAnas\u0131<\/strong><\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
    \u018fvv\u0259l<\/strong><\/td>\n<\/td>\n0<\/strong><\/td>\n20<\/strong><\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
    \u0130ndiki<\/strong><\/td>\n<\/td>\n(1\/5)X<\/strong><\/td>\nX<\/strong><\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

     <\/p>\n

    Ya\u015flar f\u0259rqi ne\u00e7\u0259 il ke\u00e7m\u0259sin\u0259 \u0259sas\u0259n d\u0259yi\u015fmir buna g\u00f6r\u0259 20-0=X-(1\/5)X, (4\/5)X=20 X=25.<\/p>\n

    Anas\u0131 olursa N\u0259zrind\u0259 25*(1\/5)=5 ya\u015f is\u0259 N\u0259zrinin olur. B)<\/p>\n

     <\/p>\n

     <\/p>\n

    Haz\u0131rlad\u0131: \u018fmiraslanov R\u00fcf\u0259t M\u00fcbarizo\u011flu.<\/strong><\/p>\n<\/blockquote>\n

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