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数推真题整理

数推真题整理
数推真题整理

数学推理真题整理

----rainlycc 09国考:

1. 5,12,21,34,53,80,()

A.121 B.115 C.119 D.117

解:做差后为7,9,13,19,27,(37)

2 4 6 8 (10)

所以80+37=117,选D。

2. 7,7,9,17,43,()

A.119

B.117

C.123

D.121

解:做差:0,2,8,26,(80)

2 6 18 (54)

所以43+80=123,选C。

3. 1,9,35,91,189,()

A.361

B.341

C.321

D.301

解:做差:8,26,56,98,(152)

18 30 42 (54)

12 12 12

所以189+152=341,选B。

4. 0,1/6,3/8,1/2,1/2,()

A.5/13

B.7/13

C.5/12

D.7/12

解:变为0/5,1/6,3/8,6/12,10/20,

分子为0,1,3,6,10,(15)

分母是5,6,8,12,20,(36)

所以接下来是15/36=5/12

5. 153,179,227,321,533,()

A.789

B.919

C.1229

D..1079

解:做差:26,48,94,212,(546)

2246 118 (334)

24 72 216

所以533+546=1079,选D。

09浙江:

1.0, 16, 8, 12, 10,()

A.11 B.13 C.14 D.18

解:做差后为16,-8,4,-2,(1)公比为-2的等比数列,所以10+1=11,选A。

2. 64,2,27,(),8,√2,1,1

A.2√5

B. √5

C.2√3 D√3

解:间隔看,64,27,8,1分别是4、3、2、1的3次方;

2,(),√2,1则为√4,(√3),√2,√1 所以选D。

3. 7,15,29,59,117,()

A.227

B.235

C.241

D.243

解:7*2+1=15,

15*2-1=29,

29*2+1=59,

59*2-1=117,

所以117*2+1=235,选B。

4. 31,29,23,(),17,13,11

A.21

B.20

C.19

D.18

解:连续质数数列,所以选C。

5. 22,36,40,56,68,()

A.84

B.86

C.90

D.92

解:40=22+36/2

56=36+40/2

68=40+56/2

所以()=56+68/2=90,选C。

6. 4,10,30,105,420,()

A.956

B.1258

C.1684

D.1890

解:后项比前项,比值分别为2、2.5、3、3.5、4、(4.5) 所以420*4.5=1890,选D。

7. 21,27,40,61,94,148,()

A.239

B.242

C.246

D.252

解:做差:6,13,21,33,54 (91)

7 8 12 21 (37)

1 4 9 (16)

所以148+91=239。选A。

8. 1,3,11,67,629,()

A.2350

B.3130

C.4783

D.7781

解:分别为10+0,21+1,32+2,43+3,54+4,

所以接下来是6的5次方+5=7781,选D(根据尾数快速选择)

9. 2/3 ,1/4 ,2/15,1/12,2/35,()

A.1/32

B.3/32

C.1/24

D.5/86

解:原数列化成:2/3,2/8,2/15,2/24,2/35,

分子都是2,分母为3,8,15,24,35;

分别是2的平方-1,3的平方-1,4的平方-1,5的平方-1,6的平方-1,接下来是7的平方-1=48,所以是2/48=1/24,选C。

10. 3,8,17,32,57,()

A.96

B.100

C.108

D.115

解:做差:5,9,15,25,(43)

4 6 10 (18)

2 4 (8)

所以57+43=100,选B。

08国考:

41.157, 65, 27, 11, 5,()

A.4 B.3 C.2 D.1

解:157=65*2+27,65=27*2+11,27=11*2+5,

所以11=5*2+1,选D。

42.

A.12 B.14 C.16 D.20

解:(7+8-2)*2=26,(3+6-4)*2=10,

所以(9+2-3)*2=16,选C。

43.1, 2/3, 5/8, 13/21,()

A.21/53 B.35/64 C.41/70 D.34/55 解:分子:2=1+1,5=2+3,13=5+8,所以34=13+21, 分母:3=2+1,8=5+3,21=13+8,所以55=34+21,

因此选D。 34/55

44.67, 54, 46, 35, 29,()

A.13 B.15 C.18 D.20

解:67+54=121=11的平方,

54+46=100=10的平方

46+35=81=9的平方

35+29=64=8的平方

所以29+20=49=7的平方,选D。

45.14, 20, 54, 76,()

A.104 B.116 C.126 D.144

解:14=3的平方+5

20=5的平方-5

54=7的平方+5

76=9的平方-5

所以接下来是11的平方+5=116. 选B。

08年北京应届:

1.64, 48, 36, 27, 81/4,()

A.97/6 B.123/38 C.179/12 D.243/16

解:比较隐蔽的等比数列,前数乘以3/4得到后数,所以81/4 * 3/4=243/16 选D.

2.2, 3, 10, 15, 26,()

A.32 B.35 C.38 D.42

解:2=1的平方+1

3=2的平方-1,

10=3的平方+1

15=4的平方-1

26=5的平方+1

所以接下来是6的平方-1=35.

选B。

3.39, 62, 91, 126, 149, 178,()

A.205 B.213 C.221 D.226

解:做差,可以看出差值是23,29,35循环,所以178+35=213.选B

4.32, 48, 40, 44, 42,()

A.43 B.45 C.47 D.49

解:每两项做差,值分别是16,4,(1),所以42+1=43;选A

5.1, 8, 20, 42, 79,()

A.126 B.128 C.132 D.136

解:做两次差:7,12,22,37

5,10,15,(20)

所以20+37+79=136,选D。

08江西:

26.3, 16, 45, 96,(), 288

A.105 B.145 C.175 D.195

解:3=3*1的平方,

16=4*2的平方,

45=5*3的平方,

96=6*4的平方,

所以接下来是7*5的平方=175,选C。

27.4, 9, 15, 26, 43,()

A.68 B.69 C.70 D.71

解:第3项等于前两项和,再加2,

15=4+9+2,26=15+9+2,43=15+26+2,所以26+43+2=71,选D。

28.1/16, 1/27, 1/16, 1/5,(), 7

A.1/16 B.1 C.2 D.1/24

解:2的-4次方,

3的-3次方,

4的-2次方,

5的-1次方,所以接下来是6的0次方=1,选B。

29.2, 3, 20, 92, 448,()

A.2160 B.2060 C.1960 D.1860

解:(2+3)*4=20,

(3+20)*4=92,

(92+20)*4=448,

所以(92+448)*4=2160,选A。

30.3, 2, 11, 14, 27,()

A.30 B.32 C.34 D.36

解:3=1的平方+2,

2=2的平方-2,

11=3的平方+2,

14=4的平方-2,

27=5的平方+2,

所以6的平方-2=34,选C。

31.0, 8, 54, 192, 500,()

A.820 B.960 C.1080 D.1280

解:0=0*1的3次方,

8=1*2的3次方,

54=2*3的3次方

…..

所以5*6的3次方

32.11, 29, 65, 137, 281,()

A.487 B.569 C.626 D.648

解:乘2后加7,得第2个数,所以281*2+7=569,选B。

33.1.03, 2.05, 2.07, 4.09,(), 8.13

A.8.17 B.8.15 C.4.13 D.4.11

解:小数部分是奇数列,个数部分每两数都是2倍,所以是4.11,选D

34.1, 2, 3, 4, 7, 6,()

A.11 B.8 C.5 D.4

解:相邻两数加起来为3,5,7,11,13-----质数列,所以下一个是17-6=11,选A。

35.1, 3, 5, 9, 17, 31, 57,()

A.105 B.89 C.95 D.135

解:前3项和等于第4项,所以17+31+57=105,选A。

08山东:

1.5,7,4,6,4,6,()

A. 4

B. 5

C.6

D. 7

解:这一题争议比较大,有几种解题方法,

个人觉得应该是5+7+4=16,7+4+6=17,4+6+4=16,所以4+6+(7)=17

16,17,16,17的循环…选D。

2.2, 5, 13, 38, ( )

A.121

B. 116

C. 106

D. 91

解:2*4+5=13;

5*5+13=38,

所以13*6+38=116,选B。

第二种解法:

后项减前项分别是3 8 25

3=3的一次方-0

8=3的二次方-1

25=3的三次方-2接下来是3的四次方-3=78

所以78+38=116。

3.3, 10, 21, 35, 51, ( )

A. 59

B. 66

C. 68

D. 72

解:三级等差:7,11,14,16,(17)

4 3 2 (1)

所以51+17=68。

4. 1/4, 2/5, 5/7, 1, 17/14, ( )

A. 25/17

B. 26/17

C. 25/19

D. 26/19

解:把1变成10/10,

则分子是1,2,5,10,17,(26)

1 3 5 7 (9)

分母是4,5,7,10,14,(19)

1 2 3 4 (5)

所以是26/19,选D。

5. 1.01, 1.02, 2.03, 3.05, 5.08,( )

A. 8.13

B. 8.013

C. 7.12

D. 7.012

解:整数部分:1+1=2,1+2=3,2+3=5,所以3+5=8;

小数部分:1+2=3,2+3=5,3+5=8,所以5+8=13。

所以接下来就是8.13,选A。

08广东:

1. 1, 2, 6, 16, 44,()

A.48

B.84

C.88

D.120

解:(1+2)*2=6;

(2+6)*2=16;

(6+16)*2=44,

所以(16+44)*2=120。

2. 2, 3, 6, 8, 8, 4,()

A.2

B.3

C.4

D.5

解:相邻两项乘积,然后取尾数,所以8*4=32,取尾数2,选A。

3. 2, 1, 5, 7, 17,()

A.29

B.30

C.31

D.34

解:第一项*2+第二项=第三项;

所以7*2+17=31,选C。

4. 1/36,1/5,1, 3, 4,()

A.1

B.5

C.6

D.7

解:6的-2次方,5的-1次方,4的0次方,3的1次方,2的2次方,所以接下来是1的3次方=1,选A。

5.

28 7 7 6

9 9 8 8

( ) 5 13 16

A.5

B.17

C.19

D.47

解:()+9=28*1

5+9=14=7*2;

13+8=21=7*3

16+8=24=6*4,

所以括号里面应该填19,选C。

08浙江:

1. 20, 20, 33, 59, 98,()

A.150

B.152

C.154

D.156

解:做差为0,13,26,39,(52)等差数列,

所以98+52=150,选A。

2. 1, 4, 3, 1/5, 1/36,()

A.1/92

B.1/124

C.1/262

D.1/343

解:1的3次方,2的2次方,3的1次方,5的-1次方,6的-2次方,所以接下来是7的-3次方=1/343,选D。

3. 675, 225, 90, 45, 30, 30,()

A.27

B.38

C.60

D.124

解:675/225=3=6/2

225/90=5/2

90/45=4/2

45/30=3/2

30/30=2/2

所以接下来是30/()=1/2,即是60,选C。

4. 34, -6, 14, 4, 9, 13/2,()

A.22/3

B.25/3

C.27/4

D.31/4

解:第一项+第二项的和除以2,等于第三项;

所以(9+13/2)/2=31/4,选D。

5. 0, 7, 26, 63, 124,()

A.209

B.215

C.224

D.262

解:1的3次方-1,2的3次方-1,3的3次方-1,4的3次方-1,5的3次方-1,所以接下来是6的3次方-1=215,选B。

6. 1/3, 3, 1/12, 4/3, 3/64,()

A.13/84

B.64/125

C.3/52

D.3/32

解:1/3的倒数* 1/1=3

3的倒数* 1/4=1/12

1/12的倒数*1/9=4/3

4/3的倒数*1/16=1/16

所以接下来是3/64的倒数*1/25= 64/125,选B。

7. 1, 4, 14, 31, 55,()

A.83

B.84

C.85

D.86

解:做差为3,10,17,24,公差为7的等差数列,接下来是24+7=31;

所以55+31=84,选B。

8. 1/12, 2, 7/6, 10/3, 44/9,()

A.199/18

B.283/21

C.365/24

D.467/27

解:前两项的积,再加上1=第3项。

所以10/3 * 44/9+1=467/27,选D。

9. 3, 65, 35, 513, 99,()

A.1427

B.1538

C.1642

D.1729

解:2的2次方-1,4的3次方+1,6的2次方-1,8的3次方+1,10的平方-1 所以接下来是12的3次方+1=1729,选D(直接找尾数为9的选项)

10. 2, 5, 13, 35, 97,()

A.214

B.275

C.312

D.336

解:5=2*3-1

13=5*3-2

35=13*3-4

97=35*3-8,

所以接下来是97*3-16=275,选B。

08江苏:

1.11,14,19,26,35,()

A.39

B.41

C.45

D.46

解:做差:3,5,7,9,(11),所以是35+11=46,选D。

2.3,3,6,18,72,()

A.360

B.350

C.288

D.260

解:后项比前项,值分别是1,2,3,4,(5),所以72*5=360,选A。

3.1,3,3,9,27,()

A.251 B.243 C.223 D.143

解:前两项乘积等于第3项,所以9*27=243,选B。

4. 22,24,39,28,(),16

A.14 B.11 C.30 D.15

解:个位除以十位,分别是1,2,3,4,5,6,

所以选D。

5. 176,187,198,253,( )

A.360

B.361

C.362

D.363

解:百位跟个位的和等于十位,所以选择D。

6.2 3 1 4 2 2

14 11 ?

4 5 5 1 6 6

A.13 B.15 C.16 D.18

解:四周数字相加等于中间数,所以2+2+6+6=16,选C。

7.1,9,7,27,13,(),19,63

A.25

B.33

C.45

D.54

解:间隔交替数列,变成1,7,13,19和9,27,(),63;

公差为18的等差数列,所以63-18=45,选C。

8.0,8,24,48,80,()

A.120 B.116 C.108 D.100

解:分别是1,3,5,7,9的平方-1,

所以接下来是11的平方-1=100,选D。

9.1,3,13,15,27,29,35,()

A.36 B.37 C.38 D.39

解:两个一组来看,差都是为2,所以35+2=37,选B。

10.2,6,15,28,(),78

A.45 B.48 C.55 D.56

解:质数列2,3,5,7,11,13分别乘以

自然数列1,2,3,4,5,6

所以11*5=55,选C。

08安徽:

1.2,3,5,7,()

A.8

B.9

C.11

D.12

解:普通的连续质数列,下一个是11,选C。

2.12,14,20,38,()

A.46 B.38 C.64 D.92

解:差值是2,6,18,(54),因为前后比值是3;

所以38+54=92,选D。

3.6,7,8,13,15,21,()

A.27 B.28 C.31 D.35

解:第一项+第二项的和等于第四项,

所以13+15=28,选B。

4.74,38,18,10,4,()

A.2 B.1 C.4 D.3

解:第一项=第二项+第3项的2倍;

74=38+18*2

38=18+10*2

18=10+4*2

所以10=4+(3)*2,选D。

5.11,12,12,18,13,28,(),42,15,()

A.15 55 B.14 60 C.14 55 D.15 60

解:间隔看,分为11,12,13,(14),15和12,18,28,42,(60)所以是选B。

07国考:

1.2,12,36,80,()

A.100 B.125 C.150 D.175

解:1*2=2

2*6=12

3*12=36

4*20=80

所以接下来是5*30=150。

2. 1,3,4,1,9,()

A.5

B.11

C.14

D.64

解:(3-1)的平方=4

(4-3)的平方=1

(1-4)的平方=9

所以接下来是(9-1)的平方=64。

3. 0,9,26,65,124,()

A.165

B.193

C.217

D.239

解:分别是1的3次方-1,2的3次方+1,3的3次方-1,4的3次方+1,5的3次方-1,所以接下来是6的3次方+1=217,选C。

4. 0,4,16,40,80,()

A.160

B.128

C.136

D.140

解:做差:4,12,24,40,(60)

8 12 16,(20)

所以80+60=140。

5. 0,2,10,30,()

A.68

B.74

C.60

D.70

解:0*1=0

1*2=2

2*5=10

3*10=30

1,2,5,10的差为1,3,5,(7),因此接下来是17。

所以是4*17=68。

07山东:

41.44,52,59,73,83,94,( )

A.107 B.101

C.105 D.113

解:本身自加。

44+4+4=52;

52+5+2=59;

59+5+9=73

73+7+3=83

83+8+3=94

94+9+4=(107),选A。

42.1.5,4.5,13.5,16.5,( )

A.21.5 B.34.5

C.49.5 D.47.5

解:1.5+3=4.5

4.5*3=13.5

13.5+3=16.5

所以16.5*3=49.5,选C。

43.

解:间隔看,奇项加7/8,偶项-3/4,所以17又3/4+7/8=18又5/8,选D。44.

解:变成:1/4,2/7,4/10,8/13,16/16,

所以接下来是32/19,选C。

45.-1,0,4,22,( )

A.118 B.120

C.122 D.124

解:0=-1*2+2

4=0*3+4

22=4*4+6

所以(118)=22*5+8,选A。

07北京应届:

1.2,13,40,61,( )

A. 46.75

B.82

C.88.25

D.121

解:2*6+1=13,

13*3+1=40,

40*1.5+1=61,

所以61*0.75+1=46.75,乘数比值为2。选A。

2.1,8,60,32,20,( )

A.10

B.16

C.18

D.20

解:依次被1,2,3,4,5,6整除,所以只能是18,选C。

3.14,6,2,0,( )

A.-2

B.-1

C.0

D.1

解:做差:8,4,2,(1),所以0-1=-1,选B。

4.2,7,14,21,294,( )

A.28

B.35

C.273

D.315

解:2*7=14

7+14=21

14*21=294

所以21+294=315,选D。

5.9,6,3/2,4,( )

A. 2

B. 3/4

C.3

D.3/8

解:第一项除以第二项等于第3项,所以3/2/4=3/8,选D。07广东:

1. -2,0,1,1,()

A.-1

B.0

C.1

D.2

解:做差:2,1,0,(-1),

所以1-1=0,选B。

2. 0,0,1,5,,23,()

A. 119

B.79

C.63

D.47

解:0*1+0=1

0*2+1=1

1*3+2=5

5*4+3=23

所以接下来是23*5+4=119,选A。

3. 3,2,11,14,()

A.17

B.19

C. 24

D.27

解:1的平方+2,

2的平方-2

3的平方+2

4的平方-2

所以接下来是5的平方+2=27,选D。

4. 1,2,2,3,4,()

A.3

B.7

C.8

D.9

解:1*2-0=2

2*2-1=3

2*3-2=4

所以接下来是3*4-3=9,选D。

5.227,238,251,259,()

A.263

B.273

C.275

D.299

解:自加。

227+2+7+2=238;

238+2+3+8=251;

251+2+5+1=259;

所以接下来是259+2+5+9=275,选C。

07江苏:

1.2,5,28,257,()

A 2036

B 1342 C3503 D3126 解:1的1次方+1

2的2次方+1

3的3次方+1

4的4次方+1

所以接下来是5的5次方+1=3126,选D。

2.5,13,37,109,()

A 136

B 231 C325 D408 解:做差:8,24,72,(216),公比是3。

所以109+216=325,选C。

3.-8,-4,4,20,()

A 60

B 52

C 48 D36 解:做差:4,8,16,(32)

所以20+32=52

4.1200,200,40,(),10/3

A 10

B 20

C 30 D5 解:前项除以后项,分别是6,5,(4),3。

所以40/4=10,选A。

5.(),4,18,48,100。

A -16 B-8 C-4 D 0 解:做差:(4),14,30,52

(10),16,22

所以4-4=0,选D。

6.-9,-5,0,6,()

A 13

B 14

C 15 D16

解:做差:4,5,6,(7)

所以6+7=13,选A。

7.64,24,44,34,39,()

A 23 B32 C36.5 D43

解:做差:-40,20,-10,5,()

前项除以后项比值都为-2,所以是5/-2=-2.5

所以39-2.5=36.5,选C。

8.-2,-1,6,25,62,()

A 105 B123 C167 D181

解:分别是0的3次方-2,1的3次方-2 ,2的3次方-2,3的3次方-2,4的3次方-2。

所以接下来是5的3次方-2=123,选B。

9.8,16,25,35,47,()

A58 B61 C65 D81

解:首尾相加:25+35=60

16+47=63

所以接下来是8+(58)=66,选A。

10.2,2,6,12,27,()

A42 B50 C58.5 D63.5

解:做差:0,4,6,15,()

第3项是前两项和的1.5倍,所以(12+27)*1.5=58.5,选C。

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