{"id":17151,"date":"2015-10-01T13:20:49","date_gmt":"2015-10-01T10:20:49","guid":{"rendered":"http:\/\/109.232.216.219\/~bilimvegelecek\/?p=17151"},"modified":"2018-01-22T13:26:15","modified_gmt":"2018-01-22T10:26:15","slug":"zeka-sorularindaki-matematiksel-dusunme","status":"publish","type":"post","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/2015\/10\/01\/zeka-sorularindaki-matematiksel-dusunme","title":{"rendered":"Zek\u00e2 sorular\u0131ndaki matematiksel d\u00fc\u015f\u00fcnme"},"content":{"rendered":"<p>Matematik de\u011fi\u015fmez sadakatiyle zek\u00e2n\u0131n dostudur. Bir\u00e7ok zek\u00e2 ve mant\u0131k sorusu matematiksel d\u00fc\u015f\u00fcnme temelinde kurgulan\u0131r. Zek\u00e2 testlerindeki sorular\u0131 yan\u0131tlamakla matematik yapmak aras\u0131nda b\u00fcy\u00fck farkl\u0131l\u0131klar oldu\u011fu gibi benzerlikler de vard\u0131r.\u00a0 Anlama, soyutlama, yarat\u0131c\u0131l\u0131k,s\u0131rad\u0131\u015f\u0131 d\u00fc\u015f\u00fcnme, ke\u015ffetme gibi kavramlar her iki alan\u0131n ortak uygulamalar\u0131 olarak g\u00f6r\u00fclebilir.<\/p>\n<p>Bu yaz\u0131da baz\u0131 zek\u00e2 testlerinden se\u00e7ti\u011fim sorular\u0131 payla\u015fmak istiyorum. Sorular\u0131n yan\u0131tlar\u0131n\u0131 gelecek say\u0131da vererek, matematiksel d\u00fc\u015f\u00fcnmeyle olan ili\u015fkilerini de\u011ferlendirece\u011fim.<\/p>\n<p><strong>Soru 1. <\/strong>\u0130kiz karde\u015f olan <em>A <\/em>ve <em>B<\/em> gibi iki ki\u015fiden <em>A<\/em> do\u011fum g\u00fcn\u00fcn\u00fc kutlad\u0131ktan 2 g\u00fcn sonra <em>B<\/em> do\u011fum g\u00fcn\u00fcn\u00fc kutluyor. Bu nas\u0131l olur?<\/p>\n<p><strong>Soru 2. <\/strong>Ocak \u2013 \u015eubat\u00a0 \u2013 Nisan \u2013 Temmuz \u2013 Kas\u0131m \u2013 Nisan &#8211; ?<\/p>\n<p>Yukar\u0131da aylar bir kurala g\u00f6re s\u0131ralanm\u0131\u015ft\u0131r. Soru i\u015fareti yerine hangi ay gelmeli?<\/p>\n<p><strong>Soru 3. <\/strong>Bir torbada 50 adet bilye vard\u0131r. Bu bilyelerden en az birinin mavi renkte ve ayr\u0131ca, rastgele \u00e7ekilecek iki bilyeden en az birinin kesinlikle ye\u015fil renkte oldu\u011funu biliyoruz. Torbada ka\u00e7 ye\u015fil bilye vard\u0131r?<\/p>\n<p><strong>Soru 4. <\/strong>Bir torbada 4 k\u0131rm\u0131z\u0131, 5 mavi, 6 ye\u015fil bilye vard\u0131r. Bu torbadan en az ka\u00e7 bilye \u00e7ekilirse kesinlikle2 k\u0131rm\u0131z\u0131 veya 3 ye\u015fil bilye \u00e7ekilmi\u015f olur?<\/p>\n<p><strong>Soru 5. <\/strong>4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, ? dizisinde soru i\u015fareti yerine hangi say\u0131 gelmelidir?<\/p>\n<p><strong>Soru 6. <\/strong>30<em>a<\/em> + 28<em>b<\/em> + 31<em>c<\/em> = 365 e\u015fitli\u011fini sa\u011flayan <em>a<\/em>, <em>b<\/em>, <em>c<\/em> pozitif tamsay\u0131lar\u0131n\u0131 bulunuz.<\/p>\n<p><strong>Soru 7.<\/strong>Bir k\u0131z\u0131n erkek karde\u015flerinin say\u0131s\u0131 k\u0131z karde\u015flerinin say\u0131s\u0131na e\u015fittir. \u00d6te yandan her erke\u011fin k\u0131z karde\u015flerinin say\u0131s\u0131 erkek karde\u015flerinin say\u0131s\u0131n\u0131n iki kat\u0131d\u0131r. Bu ailede ka\u00e7 k\u0131z ka\u00e7 erkek karde\u015f vard\u0131r?<\/p>\n<p><strong>Soru 8. <\/strong><em>A<\/em>, <em>B<\/em>, <em>C<\/em>, <em>D<\/em> ve <em>E<\/em> gibi 5 \u00f6\u011frenci m\u00fcd\u00fcr odas\u0131n\u0131n cam\u0131n\u0131 k\u0131rd\u0131klar\u0131 i\u00e7in m\u00fcd\u00fcr taraf\u0131ndan sorgulanmaktad\u0131rlar. Cam\u0131 k\u0131ran topa kimin vurdu\u011funu \u00f6\u011frenmek isteyen m\u00fcd\u00fcre \u00f6\u011frencilerden sadece 3\u2019\u00fc do\u011fruyu s\u00f6yl\u00fcyor. A\u015fa\u011f\u0131daki ifadelere g\u00f6re do\u011fruyu s\u00f6yleyen 3 \u00f6\u011frenci hangileridir?<\/p>\n<p><em>A<\/em>: \u201cTopa <em>D<\/em> vurdu.\u201d<\/p>\n<p><em>B<\/em>: \u201cBen vurmad\u0131m.\u201d<\/p>\n<p><em>C<\/em>: \u201cTopa <em>E <\/em>vurmad\u0131.\u201d<\/p>\n<p><em>D<\/em>: \u201c<em>A<\/em> yalan s\u00f6yl\u00fcyor.\u201d<\/p>\n<p><em>E<\/em>: \u201c<em>B<\/em> do\u011fru s\u00f6yl\u00fcyor.\u201d<\/p>\n<p><strong>Soru 9. <\/strong>Kahve i\u00e7erek d\u00fc\u015f\u00fcnmeyi seven okurlar\u0131n ho\u015flanaca\u011f\u0131 bir soru!<\/p>\n<p>Sade kahveyle dolu bir bardak kahvenin \u00fc\u00e7te birini i\u00e7iyorsunuz.<\/p>\n<p>Sonras\u0131nda, barda\u011fa i\u00e7ti\u011finiz kahve kadar (bardaktaki sade kahvenin \u00fc\u00e7te biri kadar) s\u00fct koyup kar\u0131\u015ft\u0131r\u0131yorsunuz.<\/p>\n<p>Daha sonra bardaktaki s\u00fctl\u00fc kahve kar\u0131\u015f\u0131m\u0131n\u0131n yar\u0131s\u0131n\u0131 i\u00e7iyorsunuz.<\/p>\n<p>Son olarak i\u00e7mi\u015f oldu\u011funuz s\u00fctl\u00fc kahve kar\u015f\u0131m\u0131 kadar miktarda s\u00fct\u00fc barda\u011fa bo\u015falt\u0131yor ve kar\u0131\u015ft\u0131r\u0131yorsunuz.<\/p>\n<p>Bu kez, elde etti\u011finiz s\u00fctl\u00fc kahve kar\u0131\u015f\u0131m\u0131n\u0131n alt\u0131 da birini i\u00e7iyorsunuz.<\/p>\n<p>Daha sonra az \u00f6nce i\u00e7mi\u015f oldu\u011funuz miktar kadar s\u00fct\u00fc barda\u011fa bo\u015falt\u0131yor ve kar\u0131\u015ft\u0131r\u0131yorsunuz. Ve nihayet bardaktaki kar\u0131\u015f\u0131m\u0131n t\u00fcm\u00fcn\u00fc i\u00e7iyorsunuz.<\/p>\n<p><strong>Soru \u015f\u00f6yle:<\/strong> Sonu\u00e7ta toplam olarak daha \u00e7ok s\u00fct m\u00fc, daha \u00e7ok kahve mi i\u00e7tiniz?<\/p>\n<p><strong>Soru 10. <\/strong>Her g\u00fcn saat 17.00\u2019da trenden inen bir ki\u015fiyi istasyona tam 17.00\u2019da gelen e\u015fi kar\u015f\u0131l\u0131yor ve birlikte otomobille eve d\u00f6n\u00fcyorlar. Bir g\u00fcn bu ki\u015fi trenden saat 16.00\u2019da iniyor, eve do\u011fru y\u00fcr\u00fcmeye ba\u015fl\u0131yor; yolda, istasyona erken geldi\u011finden haberi olmayan ve otomobille 60 km\/s h\u0131zla istasyona do\u011fru gelen e\u015fine rastl\u0131yor, otomobille eve d\u00f6n\u00fcyorlar.\u00a0 Bu ki\u015fi eve her zamankinden 10 dakika \u00f6nce vard\u0131\u011f\u0131na g\u00f6re y\u00fcr\u00fcrken ki h\u0131z\u0131 ka\u00e7 km\/s tir?<\/p>\n<p><strong>Soru 11.<\/strong> Her biri di\u011ferlerine yollarla ba\u011fl\u0131 olan <em>A<\/em>, <em>B<\/em>, <em>C<\/em> gibi 3 \u015fehirden <em>A<\/em>\u2019dan <em>B<\/em>\u2019ye (<em>C<\/em>\u2019den ge\u00e7en yollar da dahil) 82 farkl\u0131 \u015fekilde ula\u015f\u0131labiliyor.<em> B<\/em>\u2019den <em>C<\/em>\u2019ye ( <em>A<\/em>\u2019dan ge\u00e7enler de dahil) 62 farkl\u0131 yol var. <em>A<\/em>\u2019dan <em>C<\/em>\u2019ye ( <em>B<\/em>\u2019den ge\u00e7enler de dahil) en az ka\u00e7 farkl\u0131 yoldan gidilebilir?<\/p>\n<p><strong>Soru 12. <\/strong>\u00d6\u011fretmen \u00f6\u011frencilerine \u015f\u00f6yle bir duyuru yapar: \u201c\u00d6n\u00fcm\u00fczdeki hafta s\u0131nav olacaks\u0131n\u0131z ama hangi g\u00fcn s\u0131nav olaca\u011f\u0131n\u0131z\u0131 bir \u00f6nceki g\u00fcn bilemeyeceksiniz\u201d. \u00d6\u011fretmen hangi g\u00fcn s\u0131nav yapm\u0131\u015f olabilir?<\/p>\n<p><strong>Soru 13.<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-16981 aligncenter\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik141-tablo-3.jpg\" alt=\"\" width=\"154\" height=\"143\" \/><\/p>\n<p>Yukar\u0131daki \u015fekilde 12 kibrit \u00e7\u00f6p\u00fcyle 6 e\u015fkenar \u00fc\u00e7genden olu\u015fan bir alt\u0131gen \u00e7izilmi\u015ftir.<\/p>\n<ol>\n<li>A) 4 kibrit \u00e7\u00f6p\u00fcn\u00fc oynatarak 3 e\u015fkenar \u00fc\u00e7gen olu\u015fturunuz.<\/li>\n<li>B) 3 kibrit \u00e7\u00f6p\u00fcn\u00fc oynatarak 4 e\u015f paralelkenar olu\u015fturunuz.<\/li>\n<li>C) 4 kibrit \u00e7\u00f6p\u00fcn\u00fc oynatarak 4 e\u015f paralelkenar olu\u015fturunuz.<\/li>\n<\/ol>\n<p><strong>Soru 14. <\/strong>6 kibrit \u00e7\u00f6p\u00fcyle 4 e\u015fkenar \u00fc\u00e7gen nas\u0131l olu\u015fturulur?<\/p>\n<p><strong>Soru 15.<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-16982 aligncenter\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik141-tablo-4.jpg\" alt=\"\" width=\"201\" height=\"153\" srcset=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik141-tablo-4.jpg 201w, https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik141-tablo-4-80x60.jpg 80w, https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik141-tablo-4-100x75.jpg 100w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/p>\n<p>Yukar\u0131daki \u015fekilde toplam \u00fc\u00e7gen say\u0131s\u0131 ka\u00e7t\u0131r? Bu hesaplamay\u0131 yapabilmek i\u00e7in bir y\u00f6ntem geli\u015ftiriniz. ( Kombinasyon form\u00fcl\u00fcn\u00fc kullanmaman\u0131z gerekiyor.)<\/p>\n<p><strong>Not:<\/strong> 15 sorunun do\u011fru yan\u0131t\u0131n\u0131 a\u00e7\u0131klamas\u0131yla birlikte 15 Ekim 2015 tarihine kadar a_torun60@hotmail.com adresine g\u00f6nderen ilk iki okura Matemati\u011fin (M)izah\u0131 isimli kitab\u0131m\u0131 hediye etmek istiyorum.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matematik de\u011fi\u015fmez sadakatiyle zek\u00e2n\u0131n dostudur. Bir\u00e7ok zek\u00e2 ve mant\u0131k sorusu matematiksel d\u00fc\u015f\u00fcnme temelinde kurgulan\u0131r. Zek\u00e2 testlerindeki sorular\u0131 yan\u0131tlamakla matematik yapmak aras\u0131nda b\u00fcy\u00fck farkl\u0131l\u0131klar oldu\u011fu gibi benzerlikler de vard\u0131r.\u00a0 Anlama, soyutlama, yarat\u0131c\u0131l\u0131k,s\u0131rad\u0131\u015f\u0131 d\u00fc\u015f\u00fcnme, ke\u015ffetme gibi kavramlar her iki alan\u0131n ortak uygulamalar\u0131 olarak g\u00f6r\u00fclebilir. Bu yaz\u0131da baz\u0131 zek\u00e2 testlerinden se\u00e7ti\u011fim sorular\u0131 payla\u015fmak istiyorum. Sorular\u0131n yan\u0131tlar\u0131n\u0131 gelecek say\u0131da [&hellip;]<\/p>\n","protected":false},"author":375,"featured_media":17152,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17151","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-genel"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Ali T\u00f6r\u00fcn\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/bilimvegelecek.com.tr\/index.php\/2015\/10\/01\/zeka-sorularindaki-matematiksel-dusunme\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<meta property=\"og:locale\" content=\"tr_TR\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Bilim ve Gelecek\" \/>\n\t\t<meta 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