libro psu danny perich office2000

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8/18/2019 Libro PSU Danny Perich Office2000
} {\phpg\posx2421\pvpg\posy5450\absw210\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 2. \par } {\phpg\posx2695\pvpg\posy3381\absw9194\absh2063 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a. Distinción entre números racionales e irracionales. Aproximación y estim ación de números \par}{\phpg\posx2695\pvpg\posy3381\absw9194\absh2063 \sl-229 \f10 \fs18 \cf0 \fi 359 irracionales. Estimaciones de cálculos, redondeos. Construcción de decimales no periódicos. \par}{\phpg\posx2695\pvpg\posy3381\absw9194\absh2063 \sl-230 \f10 \fs18 \cf0 \fi 359 Distinción entre una aproximación y un número exacto. \par}{\phpg\posx2695\pvpg\posy3381\absw9194\absh2063 \sl-229 \f10 \fs18 \cf0 b.
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{\phpg\posx1701\pvpg\posy4226\absw10198\absh408 \f10 \fs17 \cf0 \f10 \fs17 \cf03. Si p es un número impar y q es un número par, ¿cuál de las siguientes combinaciones e s siempre un \par}{\phpg\posx1701\pvpg\posy4226\absw10198\absh408 \sl-230 \f10 \fs17 \cf0 númer o impar? \par } {\phpg\posx1701\pvpg\posy4917\absw542\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 a) pq \par } {\phpg\posx3496\pvpg\posy4917\absw960\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 b)
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13 \par} {\phpg\posx8880\pvpg\posy5837\absw618\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 e) -24 \par } {\phpg\posx1701\pvpg\posy6296\absw10177\absh1236 \f10 \fs17 \cf0 \f10 \fs17 \cf0 5. Un número entero positivo p se compone de dos dígitos que son de i zquierda a derecha a y b \par}{\phpg\posx1701\pvpg\posy6296\absw10177\absh1236 \sl-230 \f10 \fs17 \cf0 re spectivamente. Entonces el inverso aditivo de p es: \par}{\phpg\posx1701\pvpg\posy6296\absw10177\absh1236 \sl-230 \par\f10 \fs17 \cf 0 a) 10a + b b) -10a + b c) 10b + a d ) -10a - b e) -10b - a
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\cf0 a\par}{\phpg\posx8881\pvpg\posy7872\absw852\absh233 \sl-179 \f10 \fs11 \cf0 {\fs1 7 e)}{\fs17 b}{\fs17 =}{\fs17 1 }\par } {\phpg\posx1701\pvpg\posy8366\absw10184\absh822 \f10 \fs17 \cf0 \f10 \fs17 \cf0 7. Entre 100 personas se reparte un cierto número de fichas azules, blancas y roja s. 45 personas reciben \par}{\phpg\posx1701\pvpg\posy8366\absw10184\absh822 \sl-230 \f10 \fs17 \cf0 fic has rojas, otras 45 reciben fichas blancas, 60 personas reciben fichas azules, 1 5 reciben tanto rojas como
\par}{\phpg\posx1701\pvpg\posy8366\absw10184\absh822 \sl-229 \f10 \fs17 \cf0 bla ncas, 25 reciben blancas y azules, 20 reciben rojas y azules y 5 reciben de los tres colores. ¿Cuántas \par}{\phpg\posx1701\pvpg\posy8366\absw10184\absh822 \sl-230 \f10 \fs17 \cf0 per sonas no reciben fichas? \par } {\phpg\posx1701\pvpg\posy9517\absw415\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 a) 5 \par } {\phpg\posx3496\pvpg\posy9517\absw415\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 b) 8 \par } {\phpg\posx5291\pvpg\posy9517\absw525\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 c) 15 \par } {\phpg\posx7086\pvpg\posy9517\absw542\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 d) 30 \par } {\phpg\posx8879\pvpg\posy9517\absw542\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 e) 50 \par } {\phpg\posx1701\pvpg\posy9976\absw8017\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 8 . Si a y b son números naturales impares, entonces es(son) siempre un número par: \p ar
}{\phpg\posx1986\pvpg\posy10436\absw171\absh408 \f10 \fs17 \cf0 \f10 \fs17 \cf0 I . \par}{\phpg\posx1986\pvpg\posy10436\absw171\absh408 \sl-230 \f10 \fs17 \cf0 II. \par } {\phpg\posx2422\pvpg\posy10436\absw570\absh408 \f10 \fs17 \cf0 \f10 \fs17 \cf0 a + b \par}{\phpg\posx2422\pvpg\posy10436\absw570\absh408 \sl-230 \f10 \fs17 \cf0 a - b \par } {\phpg\posx1701\pvpg\posy10895\absw1246\absh823 \f10 \fs17 \cf0 \fi284 \f10 \fs1 7 \cf0 III. a · b
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}{\phpg\posx8717\pvpg\posy11587\absw1421\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 e) Sólo I, III y IV \par } {\phpg\posx1701\pvpg\posy12046\absw4901\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 9. El séxtuplo de el número par consecutivo de 8 es: \par } {\phpg\posx1701\pvpg\posy12507\absw542\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 a ) 16 \par }
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{\phpg\posx7086\pvpg\posy13426\absw415\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 d) 5 \par } {\phpg\posx8880\pvpg\posy13426\absw415\absh201 \f10 \fs17 \cf0 \f10 \fs17 \cf0 e ) 6 \par } {\phpg\posx5508\pvpg\posy14907\absw2250\absh199 \f20 \fs17 \cf0 \f20 \fs17 \cf0 www.sectormatematica.cl \par } {\phpg\posx11290\pvpg\posy14909\absw128\absh199 \f20 \fs17 \cf0 \f20 \fs17 \cf0 7 \par } \sect\sectd\pard\plain
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\par}{\phpg\posx850\pvpg\posy1881\absw222\absh614 \sl-230 \f10 \fs18 \cf0 III. \par } {\phpg\posx1571\pvpg\posy1881\absw1421\absh614 \f10 \fs18 \cf0 \f10 \fs18 \cf0 5 m + 7n \par}{\phpg\posx1571\pvpg\posy1881\absw1421\absh614 \sl-229 \f10 \fs18 \cf0 n(m + 3n) + 2m \par}{\phpg\posx1571\pvpg\posy1881\absw1421\absh614 \sl-230 \f10 \fs18 \cf0 mn + 5n + 3m \par } {\phpg\posx850\pvpg\posy2801\absw820\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) Sólo I \par }
{\phpg\posx2644\pvpg\posy2801\absw815\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) Sólo II \par } {\phpg\posx4439\pvpg\posy2801\absw845\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) Sólo III \par } {\phpg\posx6236\pvpg\posy2801\absw1176\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) Sólo II y III \par } {\phpg\posx8029\pvpg\posy2801\absw1074\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) Sólo I y II \par } {\phpg\posx850\pvpg\posy3261\absw10099\absh407 \f10 \fs18 \cf0 \f10 \fs18 \cf0 1
2. Si se divide el mínimo común múltiplo por el máximo común divisor entre los números 30, 54, 18 y 12; se \par}{\phpg\posx850\pvpg\posy3261\absw10099\absh407 \sl-229 \f10 \fs18 \cf0 obti ene: \par } {\phpg\posx850\pvpg\posy3951\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 5 \par } {\phpg\posx2645\pvpg\posy3951\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) 15 \par
} {\phpg\posx4440\pvpg\posy3951\absw525\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 30 \par } {\phpg\posx6234\pvpg\posy3951\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 45 \par } {\phpg\posx8028\pvpg\posy3951\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 90 \par } {\phpg\posx850\pvpg\posy4640\absw5841\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 13 . ¿Cuántos factores primos diferentes tiene el número 360? \par } {\phpg\posx850\pvpg\posy5102\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 2 \par } {\phpg\posx2646\pvpg\posy5102\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) 3 \par } {\phpg\posx4441\pvpg\posy5102\absw398\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 4 \par } {\phpg\posx6236\pvpg\posy5102\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 5 \par
}{\phpg\posx8030\pvpg\posy5102\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 6 \par } {\phpg\posx850\pvpg\posy5560\absw10006\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 1 4. Sabemos que 2n + 1 representa un número impar. ¿Cuál(es) de las siguientes expresio nes es(son) un \par}{\phpg\posx850\pvpg\posy5560\absw10006\absh408 \sl-230 \f10 \fs18 \cf0 número impar? \par } {\phpg\posx850\pvpg\posy6250\absw222\absh614 \f10 \fs18 \cf0 \f10 \fs18 \cf0 I. \par}{\phpg\posx850\pvpg\posy6250\absw222\absh614 \sl-230 \f10 \fs18 \cf0 II. \par}{\phpg\posx850\pvpg\posy6250\absw222\absh614 \sl-229 \f10 \fs18 \cf0 III. \
par} {\phpg\posx1571\pvpg\posy6250\absw1209\absh614 \f10 \fs18 \cf0 \f10 \fs18 \cf0 2 n + 13 \par}{\phpg\posx1571\pvpg\posy6250\absw1209\absh614 \sl-230 \f10 \fs18 \cf0 5(2n + 1) + 7 \par}{\phpg\posx1571\pvpg\posy6250\absw1209\absh614 \sl-229 \f10 \fs18 \cf0 (2n + 1) + 7 \par } {\phpg\posx850\pvpg\posy7172\absw821\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) Sólo I \par } {\phpg\posx2644\pvpg\posy7172\absw815\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b)
Sólo II \par} {\phpg\posx4439\pvpg\posy7172\absw847\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) Sólo III \par } {\phpg\posx6236\pvpg\posy7172\absw1176\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) Sólo II y III \par } {\phpg\posx8029\pvpg\posy7172\absw889\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) I, II y III \par
} {\phpg\posx850\pvpg\posy7630\absw9608\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 15 . Claudia, en tres meses más cumplirá un año, ¿en cuántos meses más cumplirá dos años y medio par } {\phpg\posx850\pvpg\posy8091\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 30 \par } {\phpg\posx2645\pvpg\posy8091\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) 27 \par } {\phpg\posx4440\pvpg\posy8091\absw525\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 24 \par } {\phpg\posx6234\pvpg\posy8091\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 21 \par } {\phpg\posx8027\pvpg\posy8091\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 18 \par } {\phpg\posx850\pvpg\posy8549\absw10155\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 1 6. Dada la expresión 3a(5b + 2c), ¿qué valores para a, b y c, respectivamente, hacen q ue la expresión sea \par}{\phpg\posx850\pvpg\posy8549\absw10155\absh408 \sl-230 \f10 \fs18 \cf0 un núm
ero par? \par} {\phpg\posx850\pvpg\posy9241\absw940\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 1, 1 y 3 \par } {\phpg\posx2645\pvpg\posy9241\absw940\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) 3, 2 y 5 \par } {\phpg\posx4440\pvpg\posy9241\absw925\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 3, 3 y 2 \par } {\phpg\posx6235\pvpg\posy9241\absw940\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 1, 5 y 7 \par
}{\phpg\posx8029\pvpg\posy9241\absw940\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 5, 3 y 1 \par } {\phpg\posx850\pvpg\posy9700\absw8489\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 17 . Si a, b y c son respectivamente los tres primeros números primos, entonces a + b + c = \par } {\phpg\posx850\pvpg\posy10161\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 6 \par } {\phpg\posx2645\pvpg\posy10161\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b ) 10 \par
}{\phpg\posx4440\pvpg\posy10161\absw525\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c ) 15 \par } {\phpg\posx6234\pvpg\posy10161\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) 17 \par } {\phpg\posx8028\pvpg\posy10161\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) 30 \par }
{\phpg\posx850\pvpg\posy10619\absw9086\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 1 8. En la expresión que q = 5n(7m + 3n); si n = 3, ¿qué valor puede tener m para que q sea par? \par } {\phpg\posx850\pvpg\posy11081\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 1 \par } {\phpg\posx2645\pvpg\posy11081\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b ) 2 \par } {\phpg\posx4440\pvpg\posy11081\absw398\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c ) 4 \par } {\phpg\posx6235\pvpg\posy11081\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) 6 \par } {\phpg\posx8029\pvpg\posy11081\absw1030\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) Ninguno \par } {\phpg\posx850\pvpg\posy11540\absw10137\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 19. Si a y c son impares; b y d son pares. ¿Cuál de las siguientes alternativas repr esenta un número impar? \par } {\phpg\posx850\pvpg\posy12000\absw774\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a)
abcd \par} {\phpg\posx2645\pvpg\posy12000\absw1242\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) 2ac + 5 bd \par } {\phpg\posx4440\pvpg\posy12000\absw1391\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) a + b + c + d \par } {\phpg\posx6234\pvpg\posy12000\absw1416\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 3a + 2b + 5c \par } {\phpg\posx8028\pvpg\posy12000\absw945\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) bd + ac \par
}{\phpg\posx850\pvpg\posy12460\absw8297\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 2 0. ¿Cuántos elementos en común tienen los conjuntos de los divisores del 18 y del 16? \par } {\phpg\posx850\pvpg\posy12921\absw2217\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a ) Ninguno b) 1 \par } {\phpg\posx4441\pvpg\posy12921\absw398\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c ) 2 \par } {\phpg\posx6236\pvpg\posy12921\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) 3 \par
}{\phpg\posx8029\pvpg\posy12921\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) 4 \par } {\phpg\posx850\pvpg\posy13379\absw9996\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 2 1. La suma de tres pares consecutivos es 150. Luego la suma de los impares ubica dos entre estos pares \par}{\phpg\posx850\pvpg\posy13379\absw9996\absh408 \sl-230 \f10 \fs18 \cf0 es: \par }
{\phpg\posx850\pvpg\posy14070\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 99 \par } {\phpg\posx2645\pvpg\posy14070\absw667\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b ) 100 \par } {\phpg\posx4440\pvpg\posy14070\absw650\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c ) 102 \par } {\phpg\posx6234\pvpg\posy14070\absw667\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) 149 \par } {\phpg\posx8028\pvpg\posy14070\absw667\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) 151 \par } {\phpg\posx850\pvpg\posy14909\absw128\absh199 \f20 \fs18 \cf0 \f20 \fs18 \cf0 8 \par } {\phpg\posx4657\pvpg\posy14907\absw2250\absh199 \f20 \fs18 \cf0 \f20 \fs18 \cf0 www.sectormatematica.cl \par } \sect\sectd\pard\plain \pgwsxn12240\pghsxn15840 {\phpg\posx0\pvpg\posy0\absw12240\absh15840 \overlay
{\*\shppict {\pict\jpegblip\picw612 \pich792\picwgoal12240 \pichgoal15840 \picscalex135 \picscaley135 ffd8ffe000104a46494600010100000100010000ffdb004300010101010101010101010101010101 01010101010101010101010101010101010101010101010101010101010101010101010101010101 010101010101010101ffdb0043010101010101010101010101010101010101010101010101010101 0101010101010101010101010101010101010101010101010101010101010101010101010101ffc0 0011080318026403012200021101031101ffc4001f00000105010101010101000000000000000001 02030405060708090a0bffc400b5100002010303020403050504040000017d010203000411051221 31410613516107227114328191a1082342b1c11552d1f02433627282090a161718191a2526272829 2a3435363738393a434445464748494a535455565758595a636465666768696a737475767778797a 838485868788898a92939495969798999aa2a3a4a5a6a7a8a9aab2b3b4b5b6b7b8b9bac2c3c4c5c6 c7c8c9cad2d3d4d5d6d7d8d9dae1e2e3e4e5e6e7e8e9eaf1f2f3f4f5f6f7f8f9faffc4001f010003
\par}{\phpg\posx1701\pvpg\posy719\absw7177\absh832 \sl-334 \par\b \f20 \fs21 \cf 0 {\b0 \f10 \fs18 22.}{\b0 \f10 \fs18 Si}{\b0 \f10 \fs18 la}{\b0 \f10 \fs18 m itad}{\b0 \f10 \fs18 de}{\b0 \f10 \fs18 15}{\b0 \f10 \fs18 es}{\b0 \f10 \fs18 9,}{\b0 \f10 \fs18 entonces}{\b0 \f10 \fs18 el}{\b0 \f10 \fs18 doble}{\b0 \ f10 \fs18 de}{\b0 \f10 \fs18 la}{\b0 \f10 \fs18 tercera}{\b0 \f10 \fs18 part e}{\b0 \f10 \fs18 de}{\b0 \f10 \fs18 15}{\b0 \f10 \fs18 es: }\par } {\phpg\posx1701\pvpg\posy1882\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 10 \par } {\phpg\posx7085\pvpg\posy1882\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 16 \par } {\phpg\posx1701\pvpg\posy2341\absw6333\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 2 3. Si p = 3 · 10 + 4 · 10 + 6 · 10 + 5 · 10 , entonces es falso que: \par } {\phpg\posx1701\pvpg\posy2801\absw1454\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a ) p es divisible \par}{\phpg\posx1701\pvpg\posy2801\absw1454\absh408 \sl-230 \f10 \fs18 \cf0 por 3 \par } {\phpg\posx3496\pvpg\posy2801\absw1454\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b ) p es divisible \par}{\phpg\posx3496\pvpg\posy2801\absw1454\absh408 \sl-230 \f10 \fs18 \cf0 por
11 \par} {\phpg\posx5292\pvpg\posy2801\absw3350\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c ) 5 es factor de p d) p es divisible \par}{\phpg\posx5292\pvpg\posy2801\absw3350\absh408 \sl-230 \f10 \fs18 \cf0 \fi1 795 por 10 \par } {\phpg\posx3108\pvpg\posy2305\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 3 \ par } {\phpg\posx3496\pvpg\posy1882\absw542\absh510 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) 12 \par}{\phpg\posx3496\pvpg\posy1882\absw542\absh510 \sl-179 \par\f10 \fs18 \cf0 \
fi412 {\fs11 2 }\par} {\phpg\posx5290\pvpg\posy1882\absw525\absh510 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 15 \par}{\phpg\posx5290\pvpg\posy1882\absw525\absh510 \sl-179 \par\f10 \fs18 \cf0 \ fi146 {\fs11 0 }\par } {\phpg\posx8878\pvpg\posy1882\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 18 \par } {\phpg\posx8881\pvpg\posy2801\absw1716\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) 9 es factor de p \par }
{\phpg\posx1701\pvpg\posy3490\absw9859\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 24. Si n es un número natural, ¿cuál(es) de las siguientes expresiones representa(n) si empre un número \par}{\phpg\posx1701\pvpg\posy3490\absw9859\absh408 \sl-230 \f10 \fs18 \cf0 par? \par } {\phpg\posx1701\pvpg\posy4180\absw221\absh614 \f10 \fs18 \cf0 \f10 \fs18 \cf0 I. \par}{\phpg\posx1701\pvpg\posy4180\absw221\absh614 \sl-230 \f10 \fs18 \cf0 II. \par}{\phpg\posx1701\pvpg\posy4180\absw221\absh614 \sl-229 \f10 \fs18 \cf0 III.
{\phpg\posx5291\pvpg\posy7631\absw398\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 3 \par } {\phpg\posx7086\pvpg\posy7631\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 4 \par } {\phpg\posx8880\pvpg\posy7631\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 6 \par } {\phpg\posx1701\pvpg\posy8090\absw4176\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 2 7. El par antecesor del antecesor de 99 es: \par } {\phpg\posx1701\pvpg\posy8551\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 96 \par } {\phpg\posx3496\pvpg\posy8551\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) 98 \par } {\phpg\posx5291\pvpg\posy8551\absw650\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 100 \par } {\phpg\posx7085\pvpg\posy8551\absw667\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 102 \par }
{\phpg\posx8879\pvpg\posy8551\absw667\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 104 \par } {\phpg\posx1701\pvpg\posy9010\absw9485\absh407 \f10 \fs18 \cf0 \f10 \fs18 \cf0 2 8. p y q son dos números impares consecutivos tales que p > q. Si la suma de estos números es 12, \par}{\phpg\posx1701\pvpg\posy9010\absw9485\absh407 \sl-229 \f10 \fs18 \cf0 ento nces p-2q = \par } {\phpg\posx1701\pvpg\posy9701\absw492\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) -9 \par } {\phpg\posx3496\pvpg\posy9701\absw492\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b)
-3 \par} {\phpg\posx5290\pvpg\posy9701\absw475\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) -2 \par } {\phpg\posx7085\pvpg\posy9701\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) 3 \par } {\phpg\posx8879\pvpg\posy9701\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e) 12 \par } {\phpg\posx1701\pvpg\posy10160\absw4222\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 29. ¿Cuántas veces el quíntuplo de 4 es 40? \par
}{\phpg\posx1701\pvpg\posy10621\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a ) 2 \par } {\phpg\posx3496\pvpg\posy10621\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b ) 4 \par } {\phpg\posx5291\pvpg\posy10621\absw398\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c ) 8 \par }
{\phpg\posx7086\pvpg\posy10621\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) 10 \par } {\phpg\posx8880\pvpg\posy10621\absw542\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) 20 \par } {\phpg\posx1701\pvpg\posy11045\absw4085\absh233 \f10 \fs11 \cf0 \fi2769 \f10 \fs 11 \cf0 4 \par}{\phpg\posx1701\pvpg\posy11045\absw4085\absh233 \sl-180 \f10 \fs11 \cf0 {\f s18 30.}{\fs18 Si}{\fs18 se}{\fs18 duplica}{\fs18 la}{\fs18 expresión}{\fs18 2}{\fs18 se}{\fs18 obtiene: }\par
} {\phpg\posx1701\pvpg\posy11541\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a ) 2 \par } {\phpg\posx2047\pvpg\posy11505\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 5 \par } {\phpg\posx3496\pvpg\posy11541\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b ) 2 \par } {\phpg\posx3842\pvpg\posy11505\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 8 \par }
{\phpg\posx5292\pvpg\posy11541\absw398\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) 4 \par } {\phpg\posx5626\pvpg\posy11505\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 2 \par } {\phpg\posx7087\pvpg\posy11541\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d ) 4 \par } {\phpg\posx7432\pvpg\posy11505\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 5 \par } {\phpg\posx8881\pvpg\posy11541\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e
) 4 \par} {\phpg\posx9226\pvpg\posy11505\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 6 \par } {\phpg\posx1701\pvpg\posy11999\absw10123\absh408 \f10 \fs18 \cf0 \f10 \fs18 \cf0 31. Se llama número vecino a aquél en que el antecesor y el sucesor son números primo s. ¿Cuál(es) de los \par}{\phpg\posx1701\pvpg\posy11999\absw10123\absh408 \sl-230 \f10 \fs18 \cf0 si guientes números es(son) vecino(s)? \par } {\phpg\posx2409\pvpg\posy12689\absw644\absh305 \f10 \fs18 \cf0 \f10 \fs18 \cf0 I ) 2 · 3
\par}{\phpg\posx2409\pvpg\posy12689\absw644\absh305 \sl-130 \f10 \fs18 \cf0 \fi344 {\fs11 2 }\par } {\phpg\posx2976\pvpg\posy12654\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 2 \par } {\phpg\posx2409\pvpg\posy12920\absw764\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 I I) 2 · 2 \par } {\phpg\posx3103\pvpg\posy12884\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 3
\par } {\phpg\posx1701\pvpg\posy13149\absw1704\absh617 \f10 \fs18 \cf0 \fi707 \f10 \fs1 8 \cf0 III) 2 · 3 · 7 \par}{\phpg\posx1701\pvpg\posy13149\absw1704\absh617 \sl-231 \par\f10 \fs18 \cf0 a) Sólo I \par } {\phpg\posx3495\pvpg\posy13611\absw1075\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) Sólo I y II \par } {\phpg\posx5290\pvpg\posy13611\absw1112\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) Sólo I y III \par } {\phpg\posx7088\pvpg\posy13611\absw1176\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 d) Sólo II y III \par } {\phpg\posx8880\pvpg\posy13611\absw888\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 e ) I, II y III \par } {\phpg\posx5508\pvpg\posy14907\absw2250\absh199 \f20 \fs18 \cf0 \f20 \fs18 \cf0 www.sectormatematica.cl \par } {\phpg\posx11290\pvpg\posy14909\absw128\absh199 \f20 \fs18 \cf0 \f20 \fs18 \cf0 9 \par
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0051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451401ffd9 }}\par}{\phpg\posx850\pvpg\posy719\absw7177\absh832 \b \f20 \fs21 \cf0 \fi2901 \ b \f20 \fs21 \cf0 Ejercicios P.S.U. - Sector Matemática \par}{\phpg\posx850\pvpg\posy719\absw7177\absh832 \sl-334 \par\b \f20 \fs21 \cf0 {\b0 \f10 \fs18 32.}{\b0 \f10 \fs18 Si}{\b0 \f10 \fs18 (-n)}{\b0 \f10 \fs18 +}{\b0 \f10 \fs18 6n}{\b0 \f10 \fs18 +}{\b0 \f10 \fs18 (-n)}{\b0 \f10 \fs18
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}{\phpg\posx2791\pvpg\posy1385\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 2 \ par } {\phpg\posx850\pvpg\posy1882\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 a) 1 \par } {\phpg\posx2645\pvpg\posy1882\absw415\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 b) n \par }
{\phpg\posx2991\pvpg\posy1847\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 2 \ par } {\phpg\posx4130\pvpg\posy1882\absw833\absh201 \f10 \fs18 \cf0 \f10 \fs18 \cf0 c) -n + n \par } {\phpg\posx4870\pvpg\posy1847\absw73\absh130 \f10 \fs11 \cf0 \f10 \fs11 \cf0 2 \

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