1. Solucionario 01 .......... 07-09-2013.doc

8/18/2019 1. Solucionario 01 .......... 07-09-2013.doc

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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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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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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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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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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

Documents

1. Solucionario 01 .......... 07-09-2013.doc