{"id":10216,"date":"2012-06-01T03:48:00","date_gmt":"2012-06-01T03:48:00","guid":{"rendered":"http:\/\/melotopia.net\/b\/?p=10216"},"modified":"2012-06-01T03:48:00","modified_gmt":"2012-06-01T03:48:00","slug":"gre%ec%97%b0%ec%8a%b5%eb%ac%b8%ec%a0%9c-%eb%aa%87%ea%b0%9c","status":"publish","type":"post","link":"http:\/\/melotopia.net\/b\/?p=10216","title":{"rendered":"GRE\uc5f0\uc2b5\ubb38\uc81c \uba87\uac1c"},"content":{"rendered":"
\n
\n
\n

\n 1. A supervisor has to select a three-member project team from among her 12 employees. Unfortunately, two of the employees cannot work together on the same team. With this restriction, how many different teams can she form?\n <\/p>\n<\/div>\n

\n \ubb38\uc81c \ud574\uc124. \ubd80\uc7a5\uc774 \uc790\uae30 \ud300\uc6d0 12\uba85 \uc911\uc5d0 3\uba85\uc744 \uace8\ub77c\uc11c \ud504\ub85c\uc81d\ud2b8 \ud300\uc744 \ud558\ub098 \ub9cc\ub4e4\ub824\uace0 \ud55c\ub2e4. \uadf8\ub7f0\ub370 \uadf8\uc911 2\ub188\uc774 \uc0ac\uc774\uac00 \ub098\ube60\uc11c \uc808\ub300\ub85c \uac19\uc740 \ud300\uc744 \uc548 \ud558\ub824\uace0 \ud55c\ub2e4. \uadf8\ub807\ub2e4\uba74 \ud300\uc744 \ub9cc\ub4dc\ub294\ub370 \uc788\uc5b4 \uba87\uac00\uc9c0 \uac00\ub2a5\uc131\uc774 \uc788\ub098?\n <\/p>\n

\n \ud574\uc1241. \uc0ac\uc774\uac00 \ub098\uc05c \ub458\uc744 A\uc640 B\ub77c\uace0 \ud558\uc790. A\ub97c \uc77c\ub2e8 \ubf51\uace0 B\ub97c \ubf51\uc9c0 \uc54a\ub294 \uacbd\uc6b0\uc758 \uc218\ub294 10\uba85\uc911 2\uba85\uc744 \ubf51\ub294 \uc218\ub2c8\uae4c 10!\/(2!8!)=45\uac00\uc9c0. \uadf8\ub7f0\ub370 B\ub97c \ubf51\uace0 A\ub97c \ubf51\uc9c0 \uc54a\ub294 \uacbd\uc6b0\uc758 \uc218\ub3c4 45\uac00\uc9c0. A\ub791 B\ub791 \ub458 \ub2e4 \ubf51\uc9c0 \uc54a\ub294 \uacbd\uc6b0\ub294 10\uba85\uc911 3\uba85\uc744 \ubf51\ub294 \uc218\ub2c8\uae4c 10!\/(3!7!) = 120\uac00\uc9c0. \ub530\ub77c\uc11c 45+45+120=210\uac00\uc9c0.\n <\/p>\n

\n\n<\/p>\n

\n \ud574\uc1242. 12\uba85\uc911 3\uba85\uc744 \ubf51\ub294 \uacbd\uc6b0\uc758 \uc218\ub294 12!\/(3!9!) = 220\uac00\uc9c0. \uadf8\ub7f0\ub370 A\ub791 B\ub97c \ub458 \ub2e4 \ubf51\ub294 \uacbd\uc6b0\ub294 10\uac00\uc9c0. \ub530\ub77c\uc11c 220-10=210\uac00\uc9c0.\n <\/p>\n

\n\n<\/p>\n

\n

\n 2. 10 years ago, Nick’s age exceeded twice Kim’s age by 6. 10 years from now, three times Nick’s age will exceed four times Kim’s age by 30. How old will Nick be in 15 years from now?\n <\/p>\n<\/div>\n

\n \ubb38\uc81c\ud574\uc124. 10\ub144\uc804\uc5d0 \ub2c9\uc740 \uae40\uc528 \ub098\uc774\uc758 2\ubc30\ubcf4\ub2e4 6\uc0b4 \ub9ce\uc558\ub2e4. 10\ub144 \ud6c4\uc5d0\ub294 \ub2c9\uc758 \ub098\uc774\uc758 3\ubc30\ub294 \uae40\uc528 \ub098\uc774\uc758 4\ubc30\ubcf4\ub2e4 30\uc0b4 \ub9ce\uac8c \ub41c\ub2e4. \uadf8\ub7fc 15\ub144 \ud6c4\uc5d0 \ub2c9\uc740 \uba87\uc0b4\uc778\uac00?\n <\/p>\n

\n \ud574\uc124. \ubb54 \uac1c\uc18c\ub9ac\uc778\uac00.\n <\/p>\n

\n\n<\/p>\n

\n n\uc744 \ub2c9\uc758 \ub098\uc774, k\ub97c \uae40\uc528 \ub098\uc774\ub77c\uace0 \ud558\uc790. \ubb38\uc7a5\uc744 \uadf8\ub300\ub85c \uc218\uc2dd\uc73c\ub85c \uc368 \ubcf4\uc790.\n <\/p>\n

\n \uccab\ubc88\uc9f8 \ubb38\uc7a5: (n-10) = 2(k-10)+6\n <\/p>\n

\n \ub450\ubc88\uc9f8 \ubb38\uc7a5: 3(n+10) = 4(k+10)+30\n <\/p>\n

\n \uc138\ubc88\uc9f8 \ubb38\uc7a5. n+15 = ?\n <\/p>\n

\n\n<\/p>\n

\n \uc544\ubb34 \uc0dd\uac01\ub3c4 \ud558\uc9c0 \ub9d0\uace0 \uccab\ubc88\uc9f8 \ubb38\uc7a5\uc758 \uc591 \ubcc0\uc5d0 2\ub97c \uacf1\ud55c\ub2e4.\n <\/p>\n

\n 2(n-10)= 4(k-10)+12\n <\/p>\n

\n \uc774\uac78 =\ub97c \uc911\uc2ec\uc73c\ub85c \uc67c\ucabd\ub07c\ub9ac, \uc624\ub978\ucabd\ub07c\ub9ac \ub450\ubc88\uc9f8 \ubb38\uc7a5\uc5d0\uc11c \ube80\ub2e4.\n <\/p>\n

\n 3(n+10)-2(n-10) = 4(k+10)+30 – 4(k-10)-12\n <\/p>\n

\n \uadf8\ub9ac\uace0 \uc5f4\uc2ec\ud788 \uc804\uac1c\ud55c\ub2e4\n <\/p>\n

\n 3n+30-2n+20 = 4k+40+30-4k+40-12\n <\/p>\n

\n \uadf8\ub9ac\uace0 \uc5f4\uc2ec\ud788 \uc815\ub9ac\ud55c\ub2e4\n <\/p>\n

\n n+50 = 98\n <\/p>\n

\n \uc798 \uc0dd\uac01\ud574\ubcf4\uba74\n <\/p>\n

\n n+15+35=63+35\n <\/p>\n

\n \ub530\ub77c\uc11c n+15=63\n <\/p>\n

\n\n<\/p>\n

\n

\n 3. 3^x4^y = 4,782,969 where x and y are integers. What is the value of y?\n <\/p>\n<\/div>\n

\n \ubb38\uc81c\ud574\uc124. 3\uc758 x\uc2b9\uacfc 4\uc758 y\uc2b9\uc774 4782969\uc774\ub2e4. x\ub791 y\ub294 \uc815\uc218\ub2e4. y\ub294 \uc5bc\ub9c8\uc778\uac00?\n <\/p>\n

\n\n<\/p>\n

\n \ud574\uc124. 0\uc774\ub2e4. \uc798 \uc0dd\uac01\ud574 \ubcf4\uc790.\n <\/p>\n

\n\n<\/p>\n

\n

\n 4. A firm places a 10% markup on the shoes it sells. If the firm’s cost of shoes increases by 5% but the firm does not change the price, what is its new markup, rounded to nearest percent?\n <\/p>\n<\/div>\n

\n \ubb38\uc81c\ud574\uc124. \uc5b4\ub5a4 \ud68c\uc0ac\uac00 \uc2e0\ubc1c\uc744 \ud314 \ub54c 10%\ub97c \ubd99\uc5ec\uc11c \ud30c\ub294\ub370, \ube44\uc6a9\uc774 5% \uc62c\ub77c\uac14\ub2e4. \uadf8\ub7f0\ub370 \uac00\uaca9\uc740 \ubc14\uafb8\uc9c0 \uc54a\uc558\ub2e4. \uadf8\ub7fc \uc774\uc724\uc774 \uc5bc\ub9c8\uc778\uac00?\n <\/p>\n

\n \ud574\uc124. \uc2e4\uc81c \uac00\uaca9\uc774 \ub098\uc640 \uc788\uc9c0 \uc54a\ub2e4\ub294 \uac83\uc740 \uc2e4\uc81c \uac00\uaca9\uc744 \uc5bc\ub9c8\ub85c \ud558\ub4e0 \ub2f5\uacfc\ub294 \uc544\ubb34 \uc0c1\uad00 \uc5c6\ub2e4\ub294 \uac83\uc774\ub2e4. \ub530\ub77c\uc11c \uc2e4\uc81c \uac00\uaca9
\n
\n \uc744 1
\n
\n 1
\n <\/b>
\n 00\uc6d0\uc73c\ub85c \ud574\ub3c4 \ub41c\ub2e4.
\n <\/b>
\n x, y\uac19\uc740\uac70 \uc368\uc11c \ubb38\uc81c \ud478\ub294\ub370 \uc5b4\ub824\uc6c0\uc744 \uacaa\ub294 \uc0ac\ub78c\uc740 \ub098\uc640\uc788\uc9c0 \uc54a\uc740 \uac12\uc744 \uc784\uc758\ub85c \uc815\ud574\ub3c4 \ub41c\ub2e4\ub294 \uc0ac\uc2e4\uc744 \uc54c\uc544\ub450\uba74 \uc88b\ub2e4.
\n \n<\/p>\n

\n \uac00\uaca9\uc744 1100\uc6d0\uc73c\ub85c \ud55c \uac83\uc740, \ube44\uc6a9\uc744 1000\uc6d0\uc774\ub77c\uace0 \uac00\uc815\ud558\uace0 10%\ub97c \ubd99\uc774\uba74 1100\uc6d0\uc774 \ub418\uae30 \ub54c\ubb38\uc774\ub2e4. \ube44\uc6a9\uc774 5%\uc62c\ub77c\uac00\uba74 \ube44\uc6a9\uc740 1050\uc6d0\uc774 \ub41c\ub2e4. \uadf8\ub7f0\ub370 \uac00\uaca9\uc744 1100\uc73c\ub85c \uadf8\ub300\ub85c \ub454\ub2e4\uba74, \ub0a8\ub294 \ub3c8\uc740 50\uc6d0\uc774 \ub41c\ub2e4. \ub530\ub77c\uc11c, \ubd99\uc5ec \ud30c\ub294 \ube44\uc6a9\uc740 50\/1050 = 0.047619\uc815\ub3c4\uac00 \ub41c\ub2e4. %\ub85c \uc4f0\uba74 \ub300\ub7b5 5%\uc815\ub3c4.
\n \n<\/p>\n

\n\n<\/p>\n

\n

\n 5. 10 points lie on a plane. No more than two lie on the same line. Column A Column B The number of triangles that can 120 be formed with these points.
\n \n<\/p>\n<\/div>\n

\n \ubb38\uc81c\ud574\uc124. \ud3c9\uba74\uc5d0 10\uac1c\uc758 \uc810\uc774 \uc788\ub2e4. \uac19\uc740 \uc9c1\uc120\uc5d0 3\uac1c\uc758 \uc9c1\uc120\uc774 \uc788\uc9c0\ub294 \uc54a\ub2e4. \uc774 \uc810\uc744 \uc774\uc6a9\ud574\uc11c \uba87\uac1c\uc758 \uc11c\ub85c \ub2e4\ub978 \uc0bc\uac01\ud615\uc744 \uad6c\uc131\ud560 \uc218 \uc788\uc744\uae4c?\n <\/p>\n

\n \ud574\uc124. 10\uac1c\uc5d0\uc11c \uad6c\ubd84 \uc5c6\uc774 3\uac1c \uace0\ub974\ub294 \ubb38\uc81c\uc640 \uac19\ub2e4. \ub530\ub77c\uc11c 10!\/(7!3!) = 10*9*8\/6 = 120\uac00\uc9c0.\n <\/p>\n

\n\n<\/p>\n

\n
\n
\n\"\uc2e0\uace0\"
\n<\/a>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

1. A supervisor has to select a three-member project team from among her 12 employees. Unfortunately, two of the employees cannot work together on the same team. With this restriction, how many different teams can she form? \ubb38\uc81c \ud574\uc124. \ubd80\uc7a5\uc774 \uc790\uae30 \ud300\uc6d0 12\uba85 \uc911\uc5d0 3\uba85\uc744 \uace8\ub77c\uc11c \ud504\ub85c\uc81d\ud2b8 \ud300\uc744 \ud558\ub098 \ub9cc\ub4e4\ub824\uace0 \ud55c\ub2e4. \uadf8\ub7f0\ub370 \uadf8\uc911 2\ub188\uc774 \uc0ac\uc774\uac00 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-10216","post","type-post","status-publish","format-standard","hentry","category-academic"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8o6gA-2EM","jetpack-related-posts":[],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts\/10216","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10216"}],"version-history":[{"count":0,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts\/10216\/revisions"}],"wp:attachment":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10216"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10216"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}