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Number series: Concept & Practice

Number series Questions for IBPS PO Pre, SBI PO Pre, IBPS Clerk Mains and SBI Clerk Mains Exams.

 Number series

Directions : What will come in place of question mark (?) in the following series?

  1. 4 18      85      336      1005      ?
    A.1680 B. 1850 C. 2080  D. 2008   E. 1901

 

2.      9      265      393      457      489      ?

 A.  550 B. 505 C. 595    D. 575     E. 525

 

3. 7 17 35 63 103 ?
A.109 B. 157 C. 186 D. 212 E. 172
4.

 

A.7456

40

 

B.6583

82

 

C.8757

249

 

D. 3423

1250

 

E.8134

?

 

 

 

 

 

5.

A. 549

24

B. 549

70

C. 495

144

D. 594

252

E. 525

400

 

?

 

 

 

 

 

 

 

6.

A. 84

33

B. 85

47

C. 83

53

D. 81

 

 

61

E. None of the above

71

 

?

 

 

 

 

 

 

 

7.

A. 116

660

B. 56

656

C. 1

620

D. 0

 

 

520

E. None of these

324

 

?

 

 

 

 

 

 

 

 

8.

A. 980

 

133

B. 982

 

207

C. 984

 

353

D. 987

 

501

D. 987

 

741

E.995

 

?

 

 

 

 

 

 

 

 

 

 

9.

A. 47.5

 

8.5

B. 48.5

 

24

C.49.5 

 

      79

D. 50.5

 

 

118.5

E. None of these

 

166

 

 

?

 

 

 

 

 

 

 

10. 2048      516 1032 262 ? 135 270
A.532 B.444 C.464 D.524 E. None of these
11.

A.128

7

B.190

 

9

C.172

 

 

48

C. 172

 

 

?

D.168

 

 

 

 

890

E. None of these

 

 

 

 

 

 

 

 

 

 

12.

A.108

 

47

B.107

 

 

58

C.105

 

 

71

D.109

 

 

 

79

E. None of the above

 

95

 

 

  ?

 

 

 

 

 

 

 

 

 

 

 

13.

 

8

 

39

 

79

 

394

 

789

 

?

  1. 2149 B. 3542 C. 2862   D. 3944   E. None of these

 

14.    15      17      26      47      86      ?

  1. 132 B. 149 C. 169   D. 172  E. 152

 

15.    3    9     24     57     ?     267     552

  1. 121 B. 118 C. 114  D. 126   E. None of these

 

16.    2      8       28        102         432       ?

  1. 1860 B. 1296 C. 2190    D. 2490     E. None of these

 

17.   6   16    44    126    370 ?

A.1100 B. 1050 C. 1400  D. 1260 E. None of these

 

18. 51 77 175 250 279 ?
A.313 B.413 C.512 D.616 E.None of these
19. 2 2 5 15.5 ? 267.125
A. 58.25 B. 65.25 C. 56.25 D. 62.25 E. None of these
 

20.

 

A.296

 

 

219

 

B.284

 

 

223

 

C. 257

 

232

 

D. 273

 

248

 

E. 267

 

?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

21.    10      17.5      32.5      55      85      ?

A.121.5   B. 122.5     C. 132.5    D. 137.5    E. None of these

 

22. 1 7 16 30 51 ?
A. 81 B.79 C.83 D.85 E. 76
23. 0 6 24 60 120 ?
A.240 B.250 C.220 D.224 E. 210
 

24.    6      6

 

18

 

90

 

630

 

?

A. 3150 B.5670 C. 6930 D.5420 E.4830
 

25.

 

27

 

35

 

47

 

63

 

83

 

?

 

A.105

 

B.107 C. 114 D. 111  

E.None of these

 

 

 

 

 

 

26. 7 12 19 31 50 ?
A. 83 B. 79 C. 80 D. 81 E. None of these
27. 2 3 8 27 112 ?
A.352 B.565 C.630 D. 435 E. None of these
 

28.

 

30

 

128

 

346

 

732

 

?

 

2200

A. 1424        B. 1334          C. 1528          D. 1078          E. None of these
 

29.

 

16800

 

4200

 

1050

 

262.5

 

?

 

16.40625

 

A. 64.725

 

 

B. 60.225

 

C. 65.625  

D. 68.428

 

 

E. None of these

 

 

 

30.    156 145      123      90 46 ?
A. 3 B. – 1 C. – 7 D. – 9 E. None of these
31.    11 12      39      164 507 ?
A. 913 B. 1136 C. 1026 D. 1236 E. None of these
32.    120 145      ?      197 224 257
A. 170 B. 168 C. 165 D. 171 E. None of these

 

 

33. 5 36 191 966 ? 24216
A.4641 B. 4841 C.4024 D. 4421 E. None of these
34. 5000 1000 200 40 8 ?
A. 2.3 B. 3.2 C. 0.8 D. 1.4 E.None of these
35. 144 153 171 207 279 ?
A. 423 B. 411 C. 453 D. 397 E. None of these
 

36.

 

76

 

304      ?

 

43776

 

1094400     39398400

A.2736 B. 2959 C. 2498 D. 2659 E. None of these
 

37.

 

2

 

18

 

36

 

?

 

98

 

146

 

188

A. 60 B.64 C.68 D. 79 E.None of these
 

38.

 

94      99      108      119      130      ?      144

A. 120 B. 125     C. 131      D. 139    E. None of these
 

39.

 

15

 

15

 

25       58.33

 

?

 

641.66

 

2780.55

A. 175 B.180 C. 190 D. 210     E. None of these
 

40.

 

35

 

65

 

?

 

725

 

3605

 

21605

 

151205

A. 170         B. 185                C. 200                D. 215                 E. None of these
 

41.

 

131

 

231

 

341

 

461

 

?

 

731

A. 631 B. 531 C. 541 D. 591 E. None of these
42. 81 108 124 249 ?     628
A. 386 B. 285 C. 341 D. 528 E. None of these
43. 824 568 793 597 766     ?
A. 622 B. 628 C. 714 D. 694 E. None of these
44. 10.5 20 39 67.5 ?     153
A. 95.5 B. 101.5 C. 105.5 D. 108.5 E. None of these

 

45.    9     31     73    141     241     ?

  1. 319 B. 357 C. 271                          D. 379                          E. None of these

 

46.    161      159      169      227      477      ?

  1. 1540 B. 1480 C. 1495           D. 1440         E. None of these

 

47.    33    26.5     ?     64.75     139.5     358.75

  1. 36.5 B. 39.5 C. 35.02      D. 37.01       E. None of these

 

48.    31     17      26     64.5      ?      1006.6

  1. 218.6 B. 276.7 C. 225.50  D. 224.25     E. None of these

 

49.    16     19      26     39      62     ?

  1. 99 B. 103 C. 105   D. 89      E. None of these

 

50.    386     379     358     323     ?     211

  1. 274 B. 265 C. 235       D. 280     E. None of these

 

 

 

Correct Answers:

 

1 2 3 4 5 6 7 8 9 10
D B B C D C D D A D
11 12 13 14 15 16 17 18 19 20
C D D B D C A B A D
21 22 23 24 25 26 27 28 29 30
B A E B B D B B C D
31 32 33 34 35 36 37 38 39 40
D B B E A A C D A B
41 42 43 44 45 46 47 48 49 50
D B A C D C A D B A

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Explanations:

 

1.

Series Pattern Given Series
4 4
4 × 6 – 6 18
18 × 5 – 5 85
85 × 4 – 4 336
336 × 3 – 3 1005
1005 × 2 – 2 2008

Hence, option (D) is correct.

 

 

2.

 

Series Pattern Given Series
9 9
9 + 256 265
265 + 128 393
393 + 64 457
457 + 32 489
489 + 16 505

Hence, option (B) is correct.

 

 

3.

Series Pattern Given Series
7 7
7 + 2 × 5 17
17 + 3 × 6 35
35 + 4 × 7 63
63 + 5 × 8 103
103 + 6 × 9 157

Hence, option (B) is correct.

 

 

 

 

 

 

4.

Series Pattern Given Series
40 40
40 × 2 + 2 = 82 82
82 × 3 + 3 = 249 249
249 × 5 + 5 = 1250 1250
1250 × 7 + 7 = 8757 8757

 

Hence, option (C) is correct.

 

 

5.

Series Pattern Given Series
52 × 1 – 1 24
62 × 2 – 2 70
72 × 3 – 3 144
82 × 4 – 4 252
92 × 5 – 5 400
102 × 6 – 6 594

 

 

 

6.

Series Pattern Given Series
33 33
33 + 22 + 10 47
33 + 32 + 11 53
33 + 42 + 12 61
33 + 52 + 13 71
33 + 62 + 14 83

Hence, option C is correct.

 

 

7.

Series Pattern Given Series
660 660
660 – (4 × 12) 656
656 – (4 × 32) 620
620 – (4 × 52) 520
520 – (4 × 72) 324
324 – (4 × 92) 0

Hence, option D is correct.

 

8.

Series Pattern Given Series
(53 + 8) 133
(63 – 9) 207
(73 + 10) 353
(83 – 11) 501
(93 + 12) 741
(103 – 13) 987

Hence, option D is correct.

 

 

9.

Series Pattern Given Series
3 × 1.5 + 22 = 8.5 8.5
6 × 2.5 + 32 = 24 24
9 × 3.5 + 42 = 47.5 47.5
12 × 4.5 + 52 = 79 79
15 × 5.5 + 62 = 118.5 118.5
18 × 6.5 + 72 = 166 166

 

 

 

10.

Series Pattern Given Series
2048 2048
2048 ÷ 4 + 4 = 516 516
516 × 2 = 1032 1032
1032 ÷ 4 + 4 = 262 262
262 × 2 = 524 524
524 ÷ 4 + 4 = 135 135
135 × 2 = 270 270

Hence, there will be 524 in place of question. Hence, option (D) is correct.

 

 

11.

Series Pattern Given Series
7 7
7 × 1 + 1 × 2 9
9 × 2 – 2 × 3 12
12 × 3 + 3 × 4 48
48 × 4 – 4 × 5 172
172 × 5 + 5 × 6 890

Hence, option C is correct.

 

12.

Series Pattern Given Series
47 47
47 + (7 + 4) 58
58 + (5 + 8) 71
71 + (7 + 1) 79
79 + (7 + 9) 95
95 + (9 + 5) 109

Hence, option D is correct.

 

 

13.

Series Pattern Given Series
8 8
8 × 5 – 1 = 39 39
39 × 2 + 1 = 79 79
79 × 5 – 1 = 394 394
394 × 2 + 1 = 789 789
789 × 5 – 1 = 3944 3944

Hence, option (D) is correct.

 

 

14.

Series Pattern Given Series
15 15
15 + (13 + 1) = 17 17
15 + (23 + 3) = 26 26
15 + (33 + 5) = 47 47
15 + (43 + 7) = 86 86
15 + (53 + 9) = 149 149

Hence, option (B) is correct.

 

 

15.

Series Pattern Given Series
3 3
3 × 2 + 3 9
9 × 2 + 6 24
24 × 2 + 9 57
57 × 2 + 12 126
126 × 2 + 15 267
267 × 2 + 18 552

Hence, option D is correct.

 

16.

Series Pattern Given Series
2 2
2 × 1 + 6 8
8 × 2 + 12 28
28 × 3 + 18 102
102 × 4 + 24 432
432 × 5 + 30 2190

Hence, option C is correct.

 

17.

Series Pattern Given Series
6 6
6 × 3 – 2 16
16 × 3 – 4 44
44 × 3 – 6 126
126 × 3 – 8 370
370 × 3 – 10 1100

Hence, option (A) is correct.

 

 

18.

Series Pattern Given Series
51 51
51 + (52 + 12) = 77 77
77 + (72 + 72) = 175 175
175 + (12 + 72 + 52) = 250 250
250 + (22 + 52 + 02) = 279 279
279 + (22 + 72 + 92) = 413 413

Hence, option (B) is correct.

 

 

19.

Series Pattern Given Series
2 2
2 × 0.5 + 1 2
2 × 1.5 + 2 5
5 × 2.5 + 3 15.5
15.5 × 3.5 + 4 58.25
58.25 × 4.5 + 5 267.125

Hence, option (A) is correct.

 

20.

Series Pattern Given Series
219 219
219 + (12 + 1 + 2) = 223 223
223 + (22 + 2 + 3) = 232 232
232 + (32 + 3 + 4) = 248 248
248 + (42 + 4 + 5) = 273 273

 

Hence, option (D) is correct.

 

Alternate Solution:-

 

Series Pattern Given Series
219 219
219 + (22 ) = 223 223
223 + (32) = 232 232
232 + (42) = 248 248
248 + (52) = 273 273

 

Hence, option (D) is correct.

 

 

21.

Series Pattern Given Series
10 10
10 + 15 × 0.5 = 17.5 17.5
17.5 + 15 × 1 = 32.5 32.5
32.5 + 15 × 1.5 = 55 55
55 + 15 × 2 = 85 85
85 + 15 × 2.5 = 122.5 122.5

 

Hence, option (B) is correct.

 

 

22.

Series Pattern Given Series
1 1
1 + (1 × 1 + 5 ) = 7 7
7 + (2 × 2 + 5 ) = 16 16
16 + (3 × 3 + 5 ) = 30 30
30 + (4 × 4 + 5 ) = 51 51
51 + (5 × 5 + 5 ) = 81 81

Hence, option (A) is correct.

 

23.

Series Pattern Given Series
13 – 1 = 0 0
23 – 2 = 6 6
33 – 3 = 24 24
43 – 4 = 60 60
53 – 5 = 120 120
63 – 6 = 210 210

Hence, option (E) is correct.

 

24.

Series Pattern Given Series
6 6
6 × 1 = 6 6
6 × 3 = 18 18
18 × 5 = 90 90
90 × 7 = 630 630
630 × 9 = 5670 5670

Hence, option (B) is correct.

 

25.

Series Pattern Given Series
27 27
27 + 8 = 35 35
35 + 12 = 47 47
47 + 16 = 63 63
63 + 20 = 83 83
83 + 24 = 107 107

Hence, option (B) is correct.

 

26.

Series Pattern Given Series
7 7
7 + 5 = 12 12
12 + 7 = 19 19
19 + 12 = 31 31
31 + 19 = 50 50
50 + 31 = 81 81

Hence, option (D) is correct.

 

27.

Series Pattern Given Series
2 2
2 × 1 + 1 = 3 3
3 × 2 + 2 = 8 8
8 × 3 + 3 = 27 27
27 × 4 + 4 = 112 112
112 × 5 + 5 = 565 565

Hence, option (B) is correct.

 

 

28.

Series Pattern Given Series
33 + 3 = 30 30
55 + 3 = 128 128
73 + 3 = 346 346
93 + 3 = 732 732
113 + 3 = 1334 1334
133 + 3 = 2200 2200

Hence, option (B) is correct.

 

 

29.

Series Pattern Given Series
16800 16800
16800 ÷ 4 = 4200 4200
4200 ÷ 4 = 1050 1050
1050 ÷ 4 = 262.5 262.5
262.5 ÷ 4 = 65.625 65.625
65.625 ÷ 4 = 16.40625 16.40625

Hence, option (C) is correct.

 

 

30.

Series Pattern Given Series
156 156
156 – 11 = 145 145
145 – 22 = 123 123
123 – 33 = 90 90
90 – 44 = 46 46
46 – 55 = – 9 – 9

 

Hence, option (D) is correct.

 

31.

Series Pattern Given Series
11 11
11 + 13 = 12 12
12 + 33 = 39 39
39 + 53 = 164 164
164 + 73 = 507 507
507 + 93 = 1236 1236

Hence, option (D) is correct.

 

 

32.

Series Pattern Given Series
(112 – 1) = 120 120
(122 + 1) = 145 145
(132 – 1) = 168 168
(142 + 1) = 197 197
(152 – 1) = 224 224
(162 + 1) = 257 257

Hence, option (B) is correct.

 

 

33.

Series Pattern Given Series
5 5
5 × 5 + 11 = 36 36
36 × 5 + 11 = 191 191
191 × 5 + 11 = 966 966
966 × 5 + 11 = 4841 4841
4841 × 5 + 11 = 24216 24216

Hence, option (B) is correct

 

 

34.

Series Pattern Given Series
5000 5000
5000 ÷ 5 = 1000 1000
1000 ÷ 5 = 200 200
200 ÷ 5 = 40 40
40 ÷ 5 = 8 8
8 ÷ 5 = 1.6 1.6

Hence, option (E) is correct.

 

35.

Series Pattern Given Series
144 144
144 + 9 = 153 153
153 + 18 = 171 171
171 + 36 = 207 207
207 + 72 = 279 279
279 + 144 = 423 423

 

Hence, option (A) is correct.

 

36.

Series Pattern Given Series
76 76
76 × (2)2 304
304 × (3)2 2736
2736 × (4)2 43776
43776 × (5)2 1094400
1094400 × (6)2 39398400

 

Hence, option A is correct.

 

37.

Series Pattern Given Series
2 + 2(7 + 1) 18
18 + 3(7 – 1) 36
36 + 4(7 + 1) 68
68 + 5(7 – 1) 98
98 + 6(7 + 1) 146
146 + 7(7 – 1) 188

 

Hence, option C is correct.

 

 

38.

Series Pattern Given Series
94 – (2)2 + 9 99
9 – (3)2 + 18 108
108 – (4)2 + 27 119
119 – (5)2 + 36 130
130 – (6)2 + 45 139
139 – (7)2 + 54 144

 

Hence, option D is correct.

 

39.

Series Pattern Given Series
15 × 3 ÷ 3 15
15 × 5 ÷ 3 25
25 × 7 ÷ 3 58.33
58.33 × 9 ÷ 3 175
175 × 11 ÷ 3 641.66
641.66 × 13 ÷ 3 2780.55

 

Hence, option A is correct

 

 

40.

Series Pattern Given Series
35 × 2 – 5 65
65 × 3 – 10 185
185 × 4 – 15 725
725 × 5 – 20 3605
3605 × 6 – 25 21605
21605 × 7 – 30 151205

 

Hence, option B is correct.

 

 

41.

Series Pattern Series
43 × 3 + (1 × 2) 131
45 × 5 + (2 × 3) 231
47 × 7 + (3 × 4) 341
49 × 9 + (4 × 5) 461
51 × 11 + (5 × 6) 591
53 × 13 + (6 × 7) 731

 

Hence, option D is correct.

 

 

42.

Series Pattern Series
81 81
81 + 33 108
108 + 42 124
124 + 53 249
249 + 62 285
285 + 73 628

 

Hence, option B is correct.

 

43.

Series Pattern Series
824 824
824 – 162 568
568 + 152 793
793 – 142 597
597 + 132 766
766 – 122 622

Hence, option A is correct.

 

 

44.

Series Pattern Series
10.5 10.5
10.5 + (9 × 1) + (0.5) 20
20 + (9 × 2) + 1 39
39 + (9 × 3) + (1.5) 67.5
67.5 + (9 × 4) + (2) 105.5
105.5 + (9 × 5) + (2.5) 153

Hence, option C is correct.

 

45.

Series Pattern Series
12 + 23 9
22 + 33 31
32 + 43 73
42 + 53 141
52 + 63 241
62 + 73 379

Hence, option D is correct.

 

  1. Given Series:
Series I 161 159 169 227 477 ?
Series II (+3–5) (+15–5) (+635) (+2555) ?
Series III (3×4)+3 (15×4)+3 (63×4)+3 ?

 

:

:

:

Series Pattern:

Series I 161 159 169 227 477 1495
Series II (+3–5) (+15–5) (+63–5) (+255–5) (10235)
Series III (3×4)+3 (15×4)+3 (63×4)+3 (255×4)+3

 

:

:

:

Hence, there must be 1495 in place of question mark. Therefore option (C) is correct.

 

47.

Series Pattern Given Series
33 33
33 × 0.5 +10 = 26.5 26.5
26.5 × 1.0 + 10 = 36.5 36.5 ?
36.5 × 1.5 + 10 = 64.75 64.75
64.75 × 2.0 + 10 = 139.5 139.5
139.5 × 2.5 + 10 = 358.75 358.75

 

Hence, option (A) is correct.

 

 

48.

Series Pattern Given Series
31 31
(31 × 0.5 – 0.5)+2 = 17 17
(17 × 1.5 – 1.5) + 2 = 26 26
(26 × 2.5 – 2.5) + 2 = 64.5 64.5
(64.5 × 3.5 – 3.5) + 2 = 224.25 224.25 ?
(224.25 × 4.5 – 4.5) + 2 = 1006.625 1006.625

 

Hence, option (D) is correct.

 

 

49.

Series Pattern Given Series
16 16
16 + 21 + 1 = 19 19
19 + 22 + 3 = 26 26
26 + 23 + 5 = 39 39
39 + 24 + 7 = 62 62
62 + 25 + 9 = 103 103

 

Hence, option (B) is correct.

 

 

50.

Series Pattern Given Series
386 386
386 – 7 (= 1 × 7) = 379 379
379 – 21 (= 3 × 7) = 358 358
358 – 35 (= 5 × 7) = 323 323
323 – 49 (= 7 × 7) = 274 274
274 – 63 (= 9 × 7) = 211 211

Hence, option A is correct.

 

 

 

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