1. solucionario 01 .......... 07-09-2013.doc
TRANSCRIPT
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APTITUD ACADÉMICA
RAZONAMIENTO VERBAL01. B 06. B 11. C 16. C 21. B02. E 07. B 12. C 17. D 22. C03. B 08. A 13. E 18. D 23. E04. E 09. E 14. E 19. C 24. A05. C 10. A 15. A 20. D 25. A
RAZONAMIENTO MATEMÁTICO
26. Clave: DÁrea tiempo
H 2)2(π 5
)3()4( 2 H π X
H
x H x
2
2
)2(
5)3(()4(
π
π =
60= x27. Clave: B
=→
==
=→=
T T x DIANA
x ELENA
T x RINA
T
5
2
10
43
5
3
10
66
2
5 T ---------------- 6
T---------------- xX = 15
28. Clave: C
1??
1159
1206
=++
y x
x
x
20x 9 ( x 6 )15
+ = + ÷
15x + 135 = 20x + 120
15 = 5x
x = 3
y = 1512
3
÷
→ y = 60
29. Clave: D36 18 1→ →
736 x 99
+
18 736 x 36 x 20
9 9+ = × ⇒ =
30. Clave: C x x 11/911/9
109;
58;
87;
76;
65;
54;
43;
32;
21
Analiamo! y !on menore!11
9´q
⇒ Nº = 431. Clave: A
"20 = 2#2#3#5#$
A = "20%2= 210
B = "20%3 = 1"0
C = "20%5 = &"
D = "20%$ = 60
210 + 1"0 + &" + 60 ' 2 = "(2
∴"(2 ' "20 = $2
32. Clave: D
)r* ilva anti!te,an . "12 36$"06 /ae,oo: Dale
a!ter! T4itter: Dale xelenia ' mail:
aaemiaaleo7tloo*om*pe
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2 a
a
a
a
aa
a
7 3 5
4 2
1 4 7 0
2 9 4 0
3 0 8 7 0
Academia Preuniversitaria “Daled” Ciclo Semestral
2013 2
2
1
12
612
3
== R
33. Clave: D
127475216494
22
== =−= k k Bk k k A
A = "& 8 B = &"B ' A = 36
34. Clave: B
35. Clave: A
36. Clave: A
abc = 23 # 9 +
abc = 23 # ;9 + 1< ' ; ' $<De la! e7aione!:
abc = 10$
37. Clave: C
Total: 12a Área !om,reaa:6a
38. Clave: D
39. Clave: B
40. Clave: DElevan! a la "A"
( ) A
A #E$ = A A
#E$ = A A
an! val!%e& a "A" 22 = 4 n!
33 = 27 n!
4
4
= 256 (3 c'%a&)⇒ A = 4 &'
55 = 3125 n!
∴ 256 = 44
#E$ = A A
En!nce& : #= 2 * E = 5 + $ = 6#,E , $,A = 2 , 5 , 6 , 4 = 17
41. Clave: E#ec!n&%-en! la /-l'l'cac'n %ec!%an!-e la& %e%e&enan c'%a& &e 'ene -e:
3 , 0 , 8 , 7 , 0 = 1842. Clave: C
C!/! la l'/a c'%a e la ba&e e& 2 en!nce&eval-a/!& a e&a c'%a:
21 = 2 2
5 = 32
22= 4 2
6 = 64Periodo = 4
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Academia Preuniversitaria “Daled” Ciclo Semestral
2013 3
23 = 8 2
7 = 128
24 = 16 2
8 = 256
e !b&e%va -e la l'/a c'%a en l!& %e&-la!&e& 2+4+8 6 l!& c-ale& &e v-elven a %ee'% + e&ec'% + en -n e%'!! e 4 * en!nce& 'v''/!&el ex!nene 278 en%e 4
278 = 4(69) , 2 ve/!& -e el %e&'-! e& 2en!nce& &en la eval-ac'n 22 = 4 :
-e! : (154782)278 = .......4
43. Clave: E' el 19 e eb%e%! e 1982 -e l-ne& - ;aca el 19e eb%e%! e 1987<190282>>>>>>>>>-ne&190283>>>>>>>>>?a%e&( al 1 ;a)190284 >>>>>>>>>?'%c!le&( al 1 ;a)190285>>>>>>>>>@'e%ne& ( al 2 ;a&)
190286>>>>>>>>>ba!( al 1 ;a)190287>>>>>>>>>D!/'n!( al 1 ;a)
#a. D!/'n!
44. Clave: Ca%a -e v-elva a /a%ca% la !%a exaca 'ene-e aelana%&e 12 !%a&:
En 12 !%a& → adelantase 3 /'n.En x → adelantase 12 !%a&
De !ne
(12D)(12D) 60/'n
x 3 /'n 1D
1;ax 144(20D)
24D!%a&
= × =
= × +
x = 120 ;a&.#a. a&a%n 120 ;a& a%a -e v-elva a/a%ca% la !%a exaca.
45. Clave: B = 4 / = 12
Al'can! %/-la θ =11
/ 30E
211
(12) 30( 4 ) 542
− +
−= + = °
46. Clave: D5(1) , 1 = 65(2) , 1 = 115(3) , 1 = 165(4 ), 1 = 21
5(n) , 1 = en&'/!
47. Clave: A
x = 14 , 4 = 18 = 14 , 3 = 17
'en x , = 18 , 17 = 3548. Clave: B
x = 27 F 2 = 54
49. Clave: C• G%ea &!/b%eaa 'ne%calaa en &en'!
!%a%'!.• C-a%a! 'ne%cala! en &en'!
an'!%a%'!.
• A&e%'&c! eHan! e&ac'! en &en'!!%a%'!.
50. Clave: A3 * 7 * 13 * 21 * ......... * 601
1e%. %-! : (1 , 1)(1) , 1 = 32!. %-! : (2 , 1)(2) , 1 = 73e%. %-! : (3 , 1)(3) , 1 = 134!. %-! : (4 , 1)(4) , 1 = 21
en&'/! : (n , 1)(n) , 1 = 601
n2 , n , 1 = 601
n
2
, n I 600 = 0(n , 25) ( n I 24) = 0
J!/an! el val!% !&''v!+ n!& -ea:n = 24
CONOCIMIENTOS
51. Clave: B
( ) ( ) ( ) ( )
( ) ( ) ( )
21 1
1 12 41 116 169 9
1 14
11 116 2 99 9
133
27 27
27 27 27
27 27 3
÷ ÷
= =
= = =
= = =
52. Clave: A
=2n n n n
n 2n n n
3 .3 9 .9 9 .3 9 .9
9 .9 3 .3 9 .9 9 .3
+ +=
− −
=3 9 12
9 3 6
+=
−= 2.
53. Clave: D
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Academia Preuniversitaria “Daled” Ciclo Semestral
2013 4
=
1 14a 2a 4a 4a 2a a
a 2a
2 .2 4 .4 2 . 2 2 . 2
6.(4 ) 3 . 2 . 2
− − + + ÷ ÷= ÷ ÷
=
1 14a 2aa a
2a
2 .2(1 2) 2
13 . 2 . 2
− − + ÷ ÷= ÷ ÷
=
1a
2a 2
1 1 1
42 2
= = ÷ ÷
54. Clave: B!% a!: K.#. () = 6/ , 2n = 6 ⇒ / = 6 I 2n .............. (L)K.A. = 10(/ , n) , (/ , 2n) = 102/ , 3n = 10 .................... ( LL )#ee/laMan! (L) en (LL)+ !bene/!&:
2(6 I 2n) , 3n = 10 ⇒ n = 2#ee/laMa/!& el val!% e n = 2 en (L)
/ = 6 3 2(2) ⇒ / = 2⇒ / , n = 2 , 2 = 4
55. Clave: E
a%a: (1) x I4x 1
9
+=
2 5
3
−
9x I 4x I 1 = 6 I 15 ⇒ 5x I 6 = I14 .... (1)
a%a (2): I3 2
7
+=
x 18
10
+
70 I 30 I 20 = 7x , 126
⇒ I 7x , 40 = 146 .......... (2)En la ec-ac'n (2)+ el val!% e e&:
7x 146
40
+
%ee/laMa! en la ec-ac'n (1)
5x I 6(7x 146
40
+) = I 14
#e&!lv'en! !bene/!& x = 2#ee/laMan! el val!% e xO en la ec-ac'n(2): I (2) , 40 = 146 ⇒ = 4N!& 'en: x , : 2 , 4 = 6
56. Clave: D
x4
, 4 = x4
, 4x2
, 4 I 4x2
= (x2
, 2)2
I (2x)2
=P(x2 , 2) I 2x Q P(x2 , 2) , 2xQ
⇒ El ac!% e&: Px2 , 2x , 2Q
57. Clave: A ( ∧ ∼) → ∨ @ @ R @ @@ R @ @ @R @ R @ @R R R @ R
Ja-!l!;a
58. Clave: C
@
( ∧ :1" 2 "3 →
R
( % )→1" 2 "3
∧ ∼ ≡ @ → % ≡ R @ ∧ @ ≡ @ @ → R ≡ R
→ = @
→ % = R
= R
L. ∨ ≡ @ ∨ R ≡ @LL. % → ≡ R → R ≡ @LLL. ∼ → ≡ @ → @ ≡ @
59. Clave: EL. (% ∧ ∼) → LL. ∨ ∼%
60. Clave: Cea xO la -'na n!a. Al'can! la /e'a a%'/'ca:
91 88 86 78 x 855
+ + + + =
#e&!lv'en!: x = 8261. Clave: A
Del %'c!: anal'Man! caa c;%c-l!:SNL ⇒ A , x , , 1 = 40? ⇒ B , , M , 1 = 28R@ ⇒ C , x , M , 1 = 25
A , B , C , 2(x , , M) = 90 ............... (1)
Del %'c! en &- !al'a: A , B , C , (x , , M) = 71 ................ (2)
#e&an!: (1) I (2)
x , , M = 1962. Clave: C
L.. D..Nº Tb%e%!& Nº ;a& Tb%a
(,) (,) (I)15 20 1210 x 12(I) (,)
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Academia Preuniversitaria “Daled” Ciclo Semestral
2013 5
x =
1(15)(20)
2
110
2
÷
÷
⇒ x = 30 ;a&
63. A 64. D 65. B 66. A 67. D 68. B
69. Clave: B
2(103) , 3(10) , 1(106)2000 , 30 , 1 000 0001 002 030 = 1002+030 U.
70. Clave: DC!n&-/e: 5! l'%!&&.En -na !%a:
50&
l 3600 &×
1= 180 000
D
l
∴ Nece&'a/!& -n %e&e%v!%'! e:
180 000 = 180 /371. Clave: E
PJQ = P2π x Q
J = x .
.
2
J
÷ ÷
J = x . . J I2
1 . J = x , . J I2
1 = x , J = J I2⇒ x , = 0 ⇒ − 2 = 1
x I1
2= 0 = I
1
2
x =1
2
72. Clave: B
# = 2 2 A B 2AB C!&+ + θ
# = 2 25 3 2(5)(3).C!& 60º+ +
# =1
25 9 30.2
+ +
# = 49 ⇒ # = 7/
73. Clave: D
D.C.L. “Bloque”
a = R? C?R R
/
Σ − Σ
⇒ a =60 40 20
5 5
−= = 4 /&2
74. Clave: B
a = R? C?R R
/
Σ − Σ
⇒ a =42 18 24
6 6
−=
⇒ a = 4/&2
75. C 76. C 77. E 78. D
79. Clave: A
# + = 20/ * # = 6/(a , 6/)(6 , b) = 20a , b , 12 = 20 x = a , b , 6a , b = 8 x = 14
80. Clave: B
BD AC
4 3= = U → BD = 4U * AC = 3U
AD = 22 = 5+5U ⇒ U = 4
AC = 3U = 2
= 1+5U ⇒ = 1+5(4) ⇒ = 681. Clave: D
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2013 6
A? = 4 * T# = 6
1 1 2
A? A# AT+ =
1 1 2
4 10 x 4 x+ =+ +(10 x) 4 2
4(10 x) 4 x
+ +=
+ +(14 , x)(4 , x) = 8(10 , x)
56 , 18x , x2 = 80 , 8x
x2 , 10x I 24 = 0Rac!%'Man! !% a&a &'/le:x , 12 = 0 * x I 2 = 0 x = I 12 * x = 2J!/an! el val!% !&''v!: x = 2
82. Clave: CS&an! n-l!& c!nH-a!& exe%n!&:
5φ , 13φ = 180º ⇒ φ = 10ºe%!: 5φ , x = 180º#ee/laMan!: φ = 10º
5(10º) , x = 180ºx = 130º
83. Clave: E%!l!nan! CB+ CD
AE ena/b!&&en'!&:e e-ce-e:/R = 53ºEn l!& %'n-l!& %ecn-l!& n!able& e 37º 53º:>RAB → AB = 43U RB = 5U>DEK → DK = 5 ED = 3 → = 43>RCK → RCCK = 34 → 5U , 3 7 , 5 = 34R'nal/ene: U = 2920 → AB = 5+8
84. A 85. B 86. D 87. B 88. D89. B 90. B 91. D 92. C
93. Clave: Ea -n'n e !& ! /& !/!& !%''na -na/!lc-la
94. Clave: DEn el %'/e% c;%c-l! &e c-enan:
V , = 4 * V nº = 4 * Ve I = 4 → 84 W
En el 2!. c;%c-l! &e c-enan:
V, = 4 * Vnº = 4 * Ve I = 5 → 8 14 W
−
C!/! ana 1e I → &e !%/a -n an'n.
95. Clave: E
e 'ene ca%a (,2)+ en!nce&+ a e%'! 2e I.
Ve
I
= 20 I 2 = 18 elec%!ne&96. Clave: A
a%a: U = 1 * X = I 1α − β = U(360) α − β = −1 (360)
α − 120 = 1(360) α − 120 = − 360 α = 480º α = − 240º
97. Clave: E
9º a cene&'/ale&:9
9
C
10= → C = 10
27Y a /'n-!& cene&'/ale&:
2727
/50=
→ / = 50/
15YY a &e-n!& cene&'/ale&:
15
81
125
250 27= ⇒ = → = 46+29&
10 50/ 46+29&
98. Clave: D
% = 30c/
Nv =
2 #π ⇒ 120 =
2 (30)π⇒ 120 F 2π . 30c/ = ⇒ 7200π c/ =
∴ = 7+2π /99. Clave: B
% 1 . n1 = % 2 . n210(15) = 30(n2)
n2 = 5 v-ela&
100. Clave: D
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Academia Preuniversitaria “Daled” Ciclo Semestral
2013 7
en α = − 21 15
14 4
− = − ÷
C!& α =1
4
J α =
15
4 151
4
= −
C α = −15
15ec α = 4
C&c α = − 4 15
15
C!%' 07092013 I D!. e Eval-ac'n AS DAED I CaHa/a%ca