数字推理解题技巧大全
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D
168 263
()
257 259 261 263 178 173 168 () 168-5=163
80%
1
2 3 4 (1) (2) (3) 2 4 8 16 32 64() 2( (4) 4 2 2 3 6 15 2) 128 ( ) ( )
11
77
0.5 1 (5) 0 1 3 7 15 31() 1 2 4 (6) (7) 5 3 2 1 1 0 1() -1 (8) (9) ( ) ( )
5
4
5
4
3 5000 3/5 A 20000B 25000C 30000D 35000 B 3/5 5000÷1/3=15000 15000÷3/5=25000 1997 15000 1/3
7 77
6 77
7
7
A
13B
14C C
15D 7
17 77 11
1 A 2 A 3 2 A 4 96 A 5 A 1 30 2 3 4 X=26 5 6B 4C 24B 24B
5 5 C
4
2
7 34 35 69 A 138 B 139 C 173 D 179
C 34+35=69
104 ()
35+69=104 173
8 5
3 2 1
1
()
A -3 B -2 C 0 D 2
5
3 1-1=0
2 C
9 2
5 10 50
()
A 100 B 200 C 250 D 500
10 D
9
77
A9
B 11 1+2=3 7 B 13
A-3
3
77
1 2 2
3 5
3 7
9 10
5 9
15 12
7 10
21 13 3
3 *2
1/7 14 1/21 42 1/36 72 1/52
22 39 25 38 31 37 40 36 38 3 2.01, 4.03, 7 9. 8 8.04, 16.07, 37 34 36 36 35 35 36 34 37
7
5
77
40 A 5B A “ 1 A 2 A 1 286 2 A 200 200 201 4 200B 201C 202D B 1 199 2 2 3 285 285B 286C 287D ” 285 284 50 10C 15D 20 2 2×2 2×2×2
10 A 6 1 B 5 A 10 10 C 9 D 10
13 1 8 A 36 B 64 C 72 D81
B
27 ()
1
2
3
4
64
14 0 6
24 60 120 ()
A 186 B 210 C 220 D 226
B 1 2 6 2 6 210 3 3 4 4 1
10
77
15 257 178 259 173 261 A 275 B 279 C 164 D 163
10 100 50 2 A 1 B 3 C 2/25 D 2/5
25
()
2/25 C
11 1 4 9 () 25 36 A 10 B 14 C 20 D 16
D 1 5 6 2 4 3
12 66 83 102 A 144 B 145 C 146 D 147
C 2 12
123
()
8 9 10 11 2 146
7
77
:
:
1 2
5 8 ()
A 10 B 11 C 12 D 13
3 5 11 B 2 3 8+3=11
2 3
4 6 9
() 18
A 11 B 12 C 13 D 14
C 1 13 2 3 4 5
3 3
9 27 81()
A 243 B 342 C 433 D 135
A 3 243
4 8
8 12 24 60
☺
ts_ljm 06-3-7
1
77
civil servant
A B MM 80 7
1.
1 2 3 4
2-4,3-9,4-16,5-25,6-36,7-49,8-64,9-81,10-100,11-121,12-144 13-169,14-196,15-225,16-256,17-289,18-324,19-361,20-400 :2-8,3-27,4-64,5-125,6-216,7-343,8-512,9-729,10-1000 :2,3,5,7,11,13,17,19,23,29...... :4-2,9-3,16-4...... 64 216 1 63 125 65 64 215 124 5 63 217 124 65
2
4
3
12
77
A 10 B 8 C 6 D4 14 6 , A 18 B 24 C 36 D 46 15 60000 4200 A. 45000 B. 15000 C. 6000 D. 4800 16 272 () A. 340 B. 292 C. 272 D. 268 17 3 2 5\3 3\2 ( ) A 7/5 B 5/6 C 3/5 D 3/4 18 1\7 1\26 1\63 1\124 ( ) 19 -2 -1 1 5 29 2000 A.17 B.15 C.13 D.11 20 5 9 15 17 ( ) A 21 B 24 C 32 D 34 21 { A B C D 22 3 2 53 32 ( ) A 75 B 5 6 C 35 D 34 23 2 3 28 65 ( ) A 214 B 83 C 414 24 0 1 3 8 21 ( ) 144 25 2 15 7 40 77 ( ) A96 B126 C138, D156 26 4 4 6 12 90 27 56 79 129 202 A 331 B 269 C 304 D 333 28 2 3 6 9 17 A 19 B 27 C 33 D 45 29 5 6 6 9 90 A 12, B 15, C 18, D 21 30 16 17 18 20 A B C D 31 9 12 21 48 32 172 84 40 18 33 4 16 37 58 89 145 42
300 ห้องสมุดไป่ตู้40B 160C 180D 1 100B 10C 1000D 6 36C 48D 30 26C 8 2D B 30 A 100 C B D X X 100 0 28D 25 18 120
“1” 1 10000 16 12 3
4
2
2
“1” 1000 1000 X/6×3-X/2×2=6 4×X30-X 1000 X=48 ×2=96
()
A 90 B 120 C 180 D 240
C 1 2.5 3 60 3=180 1997 1.5 2
5 8
14
26 50
()
8 77
A 76 B 98 C 100 D 104
B 2 2 50 2-2=98
6 5 A 20 18 B 18
4 10 8 32 C 20
15
16
() ()
32 D 18 32
,
, 6% ?
? 10%
25
20
}
D 314
4 16 .....
1 2 1999
A
3 1988 1988 4 8 6 1988
13
77
1 6 3 4 5 C c 1/3 / 4 11112 5 1 6 6 7 8 9 7=396 10 x=3 11 12 13 14 15 16 17 18 19 20 5+10=15 21 22 2 3 32 3 2 2 5 3 7 11 13 2 2 3 17..... 53 3 5 7 32 117 53 75 32 117 75 53 32 75 A 2 3 5 4 6 2 23 24 25 0+3=1*3 2*65+3*28=214 1+8=3*3 3+21=8*3 21+144= *3 =55 2 3 5 6 7 2 3 5 4 4 5 BCD 7 53 32...... 2 3 5 2 3 7 A 75 5 7 53 11 53 32 75 B 272*1.25*0.8=272 A 2^3-1,3^3-1, 2^3-1,3^3-1, 5 15 10 9 17 9+8=17 15+6=21 15/3+7=12 12/3+9=13 1322 C 3/1 4/2 5/3 6/4 7/5 6^3-1 6^3-1 8 15 ( ) 6 B sorry 0.06x+0.1y=4200 , x+y=60000, X 6 x 3*12=36 1.25X 5/6*2/3*3/4X=15 y B x=36 D A 0.25/1.25=20% 12X 9Y 2X 3Y-6 55 7 B 1 5=2^2+1 8 8 10 12 1/4, 3 1/8 4 60=8^2-4 1 1/16 = 65/16 105=10^2+5 1 55 50 39=6^2+3 7 1/2, 2 14=4^2-2 D 1,50 7 9 11 8 1/2 2 18 =2/3 1/2 2 3 0 -3
1.5 2
2.5
8 16 23
63
2 3 10 15 26 35() 1*1+1=2, 2*2-1=3 3*3+1=10 4*4-1=15...... (10) 1 2 6 15 31() 1 4 9 16
50
31+25=56
4 BT 1 15 18 54 210 A 106 B 107 C 123 D 112 2 1988 1989 +1989 1988 ? 3 1/2,1/3,2/3,6/3,( ),54/36 A 9/12, B 18/3 ,C 18/6 ,D 18/36 4 4,3,2,0,1,-3,( ) A -6 , B -2 , C 1/2 ,D 0 5 16 718 9110 A 10110 B 11112 C 11102 D 10111 6 3/2,9/4,25/8,( ) A 65/16, B 41/8, C 49/16, D 57/8 7 5,( ),39,60,105. A.10 B.14 C.25 D.30 8 8754896 48933= A.428303315966 B.428403225876 C.428430329557 D.428403325968 9 55 50 () A. B. C. D. 10 12 9 3 6 A 24 B 36 C54 D 48 11 6 3 20 5 A 50 B 80 C 100 D 36 12 25% A 20% B 30% C 25% D 33% 13 10 20
2. 3.
1. 1 12 127 3 4 20 7 30 12 42 97 82 28
2 77
112
2 1 2 C 2 5 A 0 1 C 5 3 C 2. 1 8 6 2 2 3 1 3. 1 66 4. 1 3 0 5. 1/2 2/3 6. 7. 2 4 20 8. 1 3 6 5 10 22 7 14 25 11 22 30 37 26 48 2 4/3 1/2 2/8 9/4 2/5 16/5 1/3 25/6 1/4 36/7 1/2 2/4 1/3 2/6 8 10 1 2 27 29 9 81 83 730 125 127 +2 +1 4 9 83 16 102 25 123 36 49 8 9 10 11 12 +2 146 5 4 7 10 50 6 8 50 2 12 57 25 36 457 500 2/25 216 +1 2 100 12 6 18 9 27 45 40.5 135 1.5 1 1.5 2 2.5 3 18 2 B-2 1 1 C0 D2 1 2 4 7 13 D 25 A 22 B 23 C 24 A 12 3 5 13 C8 2+3=5 19 31 C 10 3+5=8 50 D11 D7 5+8=13
52 33 32.11
22 25 31 40
39
8 8
1 A 89 B
1
3 B 99
7
17
41 *2+
C 109 D 119
65,35,17,3,() A1 A 0 4 A 50 C 6 D 2 A 3 0 B 3 1 A 76 A 3 1 2 4 4 6 8 10 18 16 A 4 -4 8 B 66 120=5 14 24 C 64 3 42 D68 6 A 186 64=4*2 24 60 B 210 4 120 C 220 D 226 0=1 -5 3 -1 6=2 3 -2 24=3 3 -3 60=4 8 24 B 64 512 C 124 D 164 2=1*2 5*2 5 1 =160 8=2*2 24=3*2 A 160 15 B 35 77 C 136 D 163 *2+3 5 7 77*2+9=163 A 106 117 6 10 B 64 18 +1=1 34 D 68 2 4 8 16 32 32+34=66 C 66 B2 C 0 D 4 8 +1 6 -1 4 +1 2 -1
4
77
10. 2 A 40 C 1 A 48 C 1 A20 B 27 A 16 B 16 5 C0 3 3 1/7 D2 4 2 5 1 6 0 7 -1 B1 4 1 B 8 6 12 B 32 2=1*2 2 = 13 B 25 6 96 20 C 24 C 120 * 16 20 D28 3 4 5 3 4 5 25 C 27 D 144 1=1*1 2=1*2 6=2*3 24=6*4 120=24*5 30 D 28 12=3*4 20=4*5 5*6=30 6=2*3
168 263
()
257 259 261 263 178 173 168 () 168-5=163
80%
1
2 3 4 (1) (2) (3) 2 4 8 16 32 64() 2( (4) 4 2 2 3 6 15 2) 128 ( ) ( )
11
77
0.5 1 (5) 0 1 3 7 15 31() 1 2 4 (6) (7) 5 3 2 1 1 0 1() -1 (8) (9) ( ) ( )
5
4
5
4
3 5000 3/5 A 20000B 25000C 30000D 35000 B 3/5 5000÷1/3=15000 15000÷3/5=25000 1997 15000 1/3
7 77
6 77
7
7
A
13B
14C C
15D 7
17 77 11
1 A 2 A 3 2 A 4 96 A 5 A 1 30 2 3 4 X=26 5 6B 4C 24B 24B
5 5 C
4
2
7 34 35 69 A 138 B 139 C 173 D 179
C 34+35=69
104 ()
35+69=104 173
8 5
3 2 1
1
()
A -3 B -2 C 0 D 2
5
3 1-1=0
2 C
9 2
5 10 50
()
A 100 B 200 C 250 D 500
10 D
9
77
A9
B 11 1+2=3 7 B 13
A-3
3
77
1 2 2
3 5
3 7
9 10
5 9
15 12
7 10
21 13 3
3 *2
1/7 14 1/21 42 1/36 72 1/52
22 39 25 38 31 37 40 36 38 3 2.01, 4.03, 7 9. 8 8.04, 16.07, 37 34 36 36 35 35 36 34 37
7
5
77
40 A 5B A “ 1 A 2 A 1 286 2 A 200 200 201 4 200B 201C 202D B 1 199 2 2 3 285 285B 286C 287D ” 285 284 50 10C 15D 20 2 2×2 2×2×2
10 A 6 1 B 5 A 10 10 C 9 D 10
13 1 8 A 36 B 64 C 72 D81
B
27 ()
1
2
3
4
64
14 0 6
24 60 120 ()
A 186 B 210 C 220 D 226
B 1 2 6 2 6 210 3 3 4 4 1
10
77
15 257 178 259 173 261 A 275 B 279 C 164 D 163
10 100 50 2 A 1 B 3 C 2/25 D 2/5
25
()
2/25 C
11 1 4 9 () 25 36 A 10 B 14 C 20 D 16
D 1 5 6 2 4 3
12 66 83 102 A 144 B 145 C 146 D 147
C 2 12
123
()
8 9 10 11 2 146
7
77
:
:
1 2
5 8 ()
A 10 B 11 C 12 D 13
3 5 11 B 2 3 8+3=11
2 3
4 6 9
() 18
A 11 B 12 C 13 D 14
C 1 13 2 3 4 5
3 3
9 27 81()
A 243 B 342 C 433 D 135
A 3 243
4 8
8 12 24 60
☺
ts_ljm 06-3-7
1
77
civil servant
A B MM 80 7
1.
1 2 3 4
2-4,3-9,4-16,5-25,6-36,7-49,8-64,9-81,10-100,11-121,12-144 13-169,14-196,15-225,16-256,17-289,18-324,19-361,20-400 :2-8,3-27,4-64,5-125,6-216,7-343,8-512,9-729,10-1000 :2,3,5,7,11,13,17,19,23,29...... :4-2,9-3,16-4...... 64 216 1 63 125 65 64 215 124 5 63 217 124 65
2
4
3
12
77
A 10 B 8 C 6 D4 14 6 , A 18 B 24 C 36 D 46 15 60000 4200 A. 45000 B. 15000 C. 6000 D. 4800 16 272 () A. 340 B. 292 C. 272 D. 268 17 3 2 5\3 3\2 ( ) A 7/5 B 5/6 C 3/5 D 3/4 18 1\7 1\26 1\63 1\124 ( ) 19 -2 -1 1 5 29 2000 A.17 B.15 C.13 D.11 20 5 9 15 17 ( ) A 21 B 24 C 32 D 34 21 { A B C D 22 3 2 53 32 ( ) A 75 B 5 6 C 35 D 34 23 2 3 28 65 ( ) A 214 B 83 C 414 24 0 1 3 8 21 ( ) 144 25 2 15 7 40 77 ( ) A96 B126 C138, D156 26 4 4 6 12 90 27 56 79 129 202 A 331 B 269 C 304 D 333 28 2 3 6 9 17 A 19 B 27 C 33 D 45 29 5 6 6 9 90 A 12, B 15, C 18, D 21 30 16 17 18 20 A B C D 31 9 12 21 48 32 172 84 40 18 33 4 16 37 58 89 145 42
300 ห้องสมุดไป่ตู้40B 160C 180D 1 100B 10C 1000D 6 36C 48D 30 26C 8 2D B 30 A 100 C B D X X 100 0 28D 25 18 120
“1” 1 10000 16 12 3
4
2
2
“1” 1000 1000 X/6×3-X/2×2=6 4×X30-X 1000 X=48 ×2=96
()
A 90 B 120 C 180 D 240
C 1 2.5 3 60 3=180 1997 1.5 2
5 8
14
26 50
()
8 77
A 76 B 98 C 100 D 104
B 2 2 50 2-2=98
6 5 A 20 18 B 18
4 10 8 32 C 20
15
16
() ()
32 D 18 32
,
, 6% ?
? 10%
25
20
}
D 314
4 16 .....
1 2 1999
A
3 1988 1988 4 8 6 1988
13
77
1 6 3 4 5 C c 1/3 / 4 11112 5 1 6 6 7 8 9 7=396 10 x=3 11 12 13 14 15 16 17 18 19 20 5+10=15 21 22 2 3 32 3 2 2 5 3 7 11 13 2 2 3 17..... 53 3 5 7 32 117 53 75 32 117 75 53 32 75 A 2 3 5 4 6 2 23 24 25 0+3=1*3 2*65+3*28=214 1+8=3*3 3+21=8*3 21+144= *3 =55 2 3 5 6 7 2 3 5 4 4 5 BCD 7 53 32...... 2 3 5 2 3 7 A 75 5 7 53 11 53 32 75 B 272*1.25*0.8=272 A 2^3-1,3^3-1, 2^3-1,3^3-1, 5 15 10 9 17 9+8=17 15+6=21 15/3+7=12 12/3+9=13 1322 C 3/1 4/2 5/3 6/4 7/5 6^3-1 6^3-1 8 15 ( ) 6 B sorry 0.06x+0.1y=4200 , x+y=60000, X 6 x 3*12=36 1.25X 5/6*2/3*3/4X=15 y B x=36 D A 0.25/1.25=20% 12X 9Y 2X 3Y-6 55 7 B 1 5=2^2+1 8 8 10 12 1/4, 3 1/8 4 60=8^2-4 1 1/16 = 65/16 105=10^2+5 1 55 50 39=6^2+3 7 1/2, 2 14=4^2-2 D 1,50 7 9 11 8 1/2 2 18 =2/3 1/2 2 3 0 -3
1.5 2
2.5
8 16 23
63
2 3 10 15 26 35() 1*1+1=2, 2*2-1=3 3*3+1=10 4*4-1=15...... (10) 1 2 6 15 31() 1 4 9 16
50
31+25=56
4 BT 1 15 18 54 210 A 106 B 107 C 123 D 112 2 1988 1989 +1989 1988 ? 3 1/2,1/3,2/3,6/3,( ),54/36 A 9/12, B 18/3 ,C 18/6 ,D 18/36 4 4,3,2,0,1,-3,( ) A -6 , B -2 , C 1/2 ,D 0 5 16 718 9110 A 10110 B 11112 C 11102 D 10111 6 3/2,9/4,25/8,( ) A 65/16, B 41/8, C 49/16, D 57/8 7 5,( ),39,60,105. A.10 B.14 C.25 D.30 8 8754896 48933= A.428303315966 B.428403225876 C.428430329557 D.428403325968 9 55 50 () A. B. C. D. 10 12 9 3 6 A 24 B 36 C54 D 48 11 6 3 20 5 A 50 B 80 C 100 D 36 12 25% A 20% B 30% C 25% D 33% 13 10 20
2. 3.
1. 1 12 127 3 4 20 7 30 12 42 97 82 28
2 77
112
2 1 2 C 2 5 A 0 1 C 5 3 C 2. 1 8 6 2 2 3 1 3. 1 66 4. 1 3 0 5. 1/2 2/3 6. 7. 2 4 20 8. 1 3 6 5 10 22 7 14 25 11 22 30 37 26 48 2 4/3 1/2 2/8 9/4 2/5 16/5 1/3 25/6 1/4 36/7 1/2 2/4 1/3 2/6 8 10 1 2 27 29 9 81 83 730 125 127 +2 +1 4 9 83 16 102 25 123 36 49 8 9 10 11 12 +2 146 5 4 7 10 50 6 8 50 2 12 57 25 36 457 500 2/25 216 +1 2 100 12 6 18 9 27 45 40.5 135 1.5 1 1.5 2 2.5 3 18 2 B-2 1 1 C0 D2 1 2 4 7 13 D 25 A 22 B 23 C 24 A 12 3 5 13 C8 2+3=5 19 31 C 10 3+5=8 50 D11 D7 5+8=13
52 33 32.11
22 25 31 40
39
8 8
1 A 89 B
1
3 B 99
7
17
41 *2+
C 109 D 119
65,35,17,3,() A1 A 0 4 A 50 C 6 D 2 A 3 0 B 3 1 A 76 A 3 1 2 4 4 6 8 10 18 16 A 4 -4 8 B 66 120=5 14 24 C 64 3 42 D68 6 A 186 64=4*2 24 60 B 210 4 120 C 220 D 226 0=1 -5 3 -1 6=2 3 -2 24=3 3 -3 60=4 8 24 B 64 512 C 124 D 164 2=1*2 5*2 5 1 =160 8=2*2 24=3*2 A 160 15 B 35 77 C 136 D 163 *2+3 5 7 77*2+9=163 A 106 117 6 10 B 64 18 +1=1 34 D 68 2 4 8 16 32 32+34=66 C 66 B2 C 0 D 4 8 +1 6 -1 4 +1 2 -1
4
77
10. 2 A 40 C 1 A 48 C 1 A20 B 27 A 16 B 16 5 C0 3 3 1/7 D2 4 2 5 1 6 0 7 -1 B1 4 1 B 8 6 12 B 32 2=1*2 2 = 13 B 25 6 96 20 C 24 C 120 * 16 20 D28 3 4 5 3 4 5 25 C 27 D 144 1=1*1 2=1*2 6=2*3 24=6*4 120=24*5 30 D 28 12=3*4 20=4*5 5*6=30 6=2*3