Libro PSU Danny Perich Office2000
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{\phpg\posx8029\pvpg\posy2801\absw1074\absh201 \f10 \fs18 \cf0 \f10
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{\phpg\posx850\pvpg\posy3261\absw10099\absh407 \f10 \fs18 \cf0 \f10
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2. Si se divide el mínimo común múltiplo por el máximo común
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{\phpg\posx2645\pvpg\posy3951\absw542\absh201 \f10 \fs18 \cf0 \f10
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} {\phpg\posx4440\pvpg\posy3951\absw525\absh201 \f10 \fs18 \cf0
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{\phpg\posx8028\pvpg\posy3951\absw542\absh201 \f10 \fs18 \cf0 \f10
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{\phpg\posx850\pvpg\posy4640\absw5841\absh201 \f10 \fs18 \cf0 \f10
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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
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} {\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 }
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{\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 }
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{\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
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\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.
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{\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 }
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{\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
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