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Ejercicios lista número 2 de matemáticas para el propedéutico
1.
2 7
2.
12 5
3.
3 13
4.
1 7
+
1 7
5.
1 3
+
1 2
6. 7.
1 2
9.
16 56 1 3
+
+ 2 7
1 2
6 7
+ 17 +
1 2
1 2
1 13
1 3
12.
1 2
1 3
+
1 5
1 7
13.
5 2
1 7
+ 14 +
1 9
14.
1 78
+
+ 1 4
16.
45 450
1 45 1 8
+
18.
1 2
19.
1 71
1 12
+
+
+
1 3
1 3
1 11
1 23
1 16
34 340
1 13
+
1 7
1 32
67 670
24 102
12 56
17.
+
12 23
1 3
+ 12 + 12 + 13 + 31 +
15.
+ 16 + 27 +
8 3
12 57 2 3
+
3 4 6 5
23.
1 2 7 5
1 6
1 9
+
1 2
1 5
8
22.
24.
4 11 1 3
1 2
21.
5 7
1 3
11.
20.
3 7
+
3 7
7 6 1 2
1 2
+1
4 5 4 5
10.
+ 5 7
3 4
+
+
8.
1 2
+ 1 3
+
5 4
2 5
+
7 3 4 1 5
( 2)
25. ( 1)
4 6
(0)
26. ( 75 + 21 )(12 + 54 )(1 + 2) 1
27. 28. 29. 30. 31. 32.
7 3 4 5
4+1
3 5
7 1 2
1 3
37. 38. 39. 40.
1 5
+5
+3
76(1+1+1+1+1+1+1+1+1 1 1 1 1 1 1)(12) 12 2 3
5
1 5
+
1 3
2 3
8+5
1 2
4 3
3
5 3
2
1 4
5 3
3 4
5
34.
36.
+3
2 +1 3
33.
35.
1 2
+
1 4
2 1 3
5
1 2
3
( 13 + 12 ) ( 31 + 75 ) 1 2
3 + 45 7
[( 25 )( 34 ) 13 ] 1 2 5 3(4 2) 1 3
2
4 5
[ 45 +( 54
(3 5)
4+ 12 1 2
1 7
1 3
2+
1 3
)]
1 6
1 5
2 3
3
2
41. 42 (44 )
42. 63 =123 43. 2 (22 ) (212 ) =2 44.
21
2(12)3 3 2 45 3 3 2
45. ( 5)2 ( 1)2 + 46.
1 2 2
+
5 3 4
+
3 2 5
47. [3 (9)]2 [27] =32 p p4 48. 7 p8 49.
p
4
p
2 p p 50. 144 16
p
7
1 48
p
23 1
2
51.
[3 + 2 (5
9)][7
(4
52. [ ( 5)
3(4
53. [5
4)] [ 2( 3)
2(7
54. 32[16
(3
55. 12 (9
4) (
57.
h
59.
32 3
h
8
63.
3
+
8
72.
4 5
+4
3
i
0
1
+1
7
4) 2
1) 3
32
2 +2 3 1
3
5 3
1
1
3 4
i
( ) ( 12 ) ( ) 12(2 2 ) 2+ 3 4 1 0 2
3
+ 30 1
2
(19)(18)(17)(16)(15)(14)(13)(12)(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1) (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)
67.
71.
[3 ( 9) + 24]
35
16
2 (3
64. 3 3 h 1 65. 3
70.
5]
(7 3)(3 2+8) (5 2)((5)(2)) 4
62.
69.
1 ) 5
81 16
16 9
61. (4 3
68.
7
i 5 +4
60. 4 + 48
66.
2)]
45)] + 4[( 7)(9)]
(35+15) 15
58.
7)][3 + (5
+ ( 43 ) + 2
36 9
56.
3)]
p
1 3 p 4 27 p 3 9
q 3
p 3 1
5
p
q
2 3
10
2p
3 4
4 5
p
2
2 3
q 3
3+
1 10
2
73.
p4 6 2
74.
3 p
p
5 5 1
3
1
75.
p 2+ p 3 3+1
76.
p p p2+p3 2 3
77.
p 4 p 2 3+3 2
p p 78. 17 4 5 6 4 5 p p p 79. 3 3 3 24 3 3 27 p p p 20 + 45 80. 5 p p p 81. 3 27 + 48 p p p 82. 32 2 31 8 + 7 50 p p p 83. 3 5 + 2 3 5 p p p 84. 3 63 + 8 28 + 343 q p 1 85. 2 32 5 12
86.
p 5 3 2
87.
p
+
p 2 12 3
p p 2 75 4 12 q p 60 5 35
20 q 88. 3 53
p p p p 89. 5 3 81 + 9 3 24 3 3000 3 648 p 90. 5 78125 qp p p p p p p p p p 5 3 4 4 91. 35 + 7 4 8 + 23 5 + 23 8 h
92. 93.
2 + (4
n h p 225 + 2 12
94.
1+
1+ 12 1 12
95.
1+
1+ 13 1 13
96. 1 + 97. 1 + 98.
1
7 3)
1 5
+ 1 1+
1
1
i +1
1 21 1+ 12
2 7
+1 h
2 9
3 7
i
+
+
1 2 2
2
p 3
1 2
1+ 13 1 13
1 1+ n 1 1 n
1 1+
1+
1 1 1+ 1 2
1 4(3:1416)(8:859)(10
27
12 )
4
p 3 8 p 3 125
+ 12 +
+
1 2 2
1 2
i
1
+1 +1 o +1+1
99. De los siguientes números descomponerlos en producto de sus factores primos 274 743 705 600; 4199; 251 198; 989 412; 100. En el siguiente número: 3111 990; diga si en número es divisible entre 2; 3; 5; 6; 12; 15:
5
1.
2 7
2.
12 5
3.
3 13
4.
1 7
+
1 7
5.
1 3
+
1 2
6. 7.
1 2
9.
16 56 1 3
+
+ 2 7
1 2
6 7
+ 17 +
1 2
1 2
1 13
1 3
12.
1 2
1 3
+
1 5
1 7
13.
5 2
1 7
+ 14 +
1 9
14.
1 78
+
+ 1 4
16.
45 450
1 45 1 8
+
18.
1 2
19.
1 71
1 12
+
+
+
1 3
1 3
1 11
1 23
1 16
34 340
1 13
+
1 7
1 32
67 670
24 102
12 56
17.
+
12 23
1 3
+ 12 + 12 + 13 + 31 +
15.
+ 16 + 27 +
8 3
12 57 2 3
+
3 4 6 5
23.
1 2 7 5
1 6
1 9
+
1 2
1 5
8
22.
24.
4 11 1 3
1 2
21.
5 7
1 3
11.
20.
3 7
+
3 7
7 6 1 2
1 2
+1
4 5 4 5
10.
+ 5 7
3 4
+
+
8.
1 2
+ 1 3
+
5 4
2 5
+
7 3 4 1 5
( 2)
25. ( 1)
4 6
(0)
26. ( 75 + 21 )(12 + 54 )(1 + 2) 1
27. 28. 29. 30. 31. 32.
7 3 4 5
4+1
3 5
7 1 2
1 3
37. 38. 39. 40.
1 5
+5
+3
76(1+1+1+1+1+1+1+1+1 1 1 1 1 1 1)(12) 12 2 3
5
1 5
+
1 3
2 3
8+5
1 2
4 3
3
5 3
2
1 4
5 3
3 4
5
34.
36.
+3
2 +1 3
33.
35.
1 2
+
1 4
2 1 3
5
1 2
3
( 13 + 12 ) ( 31 + 75 ) 1 2
3 + 45 7
[( 25 )( 34 ) 13 ] 1 2 5 3(4 2) 1 3
2
4 5
[ 45 +( 54
(3 5)
4+ 12 1 2
1 7
1 3
2+
1 3
)]
1 6
1 5
2 3
3
2
41. 42 (44 )
42. 63 =123 43. 2 (22 ) (212 ) =2 44.
21
2(12)3 3 2 45 3 3 2
45. ( 5)2 ( 1)2 + 46.
1 2 2
+
5 3 4
+
3 2 5
47. [3 (9)]2 [27] =32 p p4 48. 7 p8 49.
p
4
p
2 p p 50. 144 16
p
7
1 48
p
23 1
2
51.
[3 + 2 (5
9)][7
(4
52. [ ( 5)
3(4
53. [5
4)] [ 2( 3)
2(7
54. 32[16
(3
55. 12 (9
4) (
57.
h
59.
32 3
h
8
63.
3
+
8
72.
4 5
+4
3
i
0
1
+1
7
4) 2
1) 3
32
2 +2 3 1
3
5 3
1
1
3 4
i
( ) ( 12 ) ( ) 12(2 2 ) 2+ 3 4 1 0 2
3
+ 30 1
2
(19)(18)(17)(16)(15)(14)(13)(12)(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1) (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)
67.
71.
[3 ( 9) + 24]
35
16
2 (3
64. 3 3 h 1 65. 3
70.
5]
(7 3)(3 2+8) (5 2)((5)(2)) 4
62.
69.
1 ) 5
81 16
16 9
61. (4 3
68.
7
i 5 +4
60. 4 + 48
66.
2)]
45)] + 4[( 7)(9)]
(35+15) 15
58.
7)][3 + (5
+ ( 43 ) + 2
36 9
56.
3)]
p
1 3 p 4 27 p 3 9
q 3
p 3 1
5
p
q
2 3
10
2p
3 4
4 5
p
2
2 3
q 3
3+
1 10
2
73.
p4 6 2
74.
3 p
p
5 5 1
3
1
75.
p 2+ p 3 3+1
76.
p p p2+p3 2 3
77.
p 4 p 2 3+3 2
p p 78. 17 4 5 6 4 5 p p p 79. 3 3 3 24 3 3 27 p p p 20 + 45 80. 5 p p p 81. 3 27 + 48 p p p 82. 32 2 31 8 + 7 50 p p p 83. 3 5 + 2 3 5 p p p 84. 3 63 + 8 28 + 343 q p 1 85. 2 32 5 12
86.
p 5 3 2
87.
p
+
p 2 12 3
p p 2 75 4 12 q p 60 5 35
20 q 88. 3 53
p p p p 89. 5 3 81 + 9 3 24 3 3000 3 648 p 90. 5 78125 qp p p p p p p p p p 5 3 4 4 91. 35 + 7 4 8 + 23 5 + 23 8 h
92. 93.
2 + (4
n h p 225 + 2 12
94.
1+
1+ 12 1 12
95.
1+
1+ 13 1 13
96. 1 + 97. 1 + 98.
1
7 3)
1 5
+ 1 1+
1
1
i +1
1 21 1+ 12
2 7
+1 h
2 9
3 7
i
+
+
1 2 2
2
p 3
1 2
1+ 13 1 13
1 1+ n 1 1 n
1 1+
1+
1 1 1+ 1 2
1 4(3:1416)(8:859)(10
27
12 )
4
p 3 8 p 3 125
+ 12 +
+
1 2 2
1 2
i
1
+1 +1 o +1+1
99. De los siguientes números descomponerlos en producto de sus factores primos 274 743 705 600; 4199; 251 198; 989 412; 100. En el siguiente número: 3111 990; diga si en número es divisible entre 2; 3; 5; 6; 12; 15:
5
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