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Number Series

Directions (Q.1-26): Find the missing term in the given series:


1. 32, 75, 144, 244 ......, 567.
A) 380     B) 384      C) 390      D) 395
Sol: 1 + 22 + 33 = 32
2 + 32 + 43 = 75
3 + 42 + 53 = 144
4 + 52 + 63 = 244
5 + 62 + 73 = 384
6 + 72 + 83 = 567

Ans: B


2. 380, 391, 413, 446, ?, 545
A) 510      B) 500      C) 450      D) 490
Sol: 380 + 11 = 391
391 + 22 = 413
413 + 33 = 446
446 + 44 = 490
490 + 55 = 545

Ans: D


3. 10, 70, 420, 2100, 8400, ......, 50400
A) 25200      B) 25000     C) 19800      D) 24000
Sol: 10 × 7 = 70
70 × 6 = 420
420 × 5 = 2100
2100 × 4 = 8400
8400 × 3 = 25200
25200 × 2 = 50400

Ans:  A


4. 400, 300, 219, 155, 106, ....., 45
A) 80      B) 65      C) 70      D) 90
Sol: 400 − 102 = 300
300 − 92 = 219
219 − 82 = 155
155 − 72 = 106
106 − 62 = 70
70 − 52 = 45

Ans: C


5. 40, 46, 56, 70, 88, ......., 136
A) 100      B) 110      C) 120      D) 125
Sol: 40 + 6 = 46
46 + 10 = 56
56 + 14 = 70
70 + 18 = 88
88 + 22 = 110
110 + 26 = 136

Ans: B


6. 10, 22, 46, 94, ......., 382, 766
A) 180      B) 188      C) 190      D) 194
Sol: 10 × 2 + 2 = 22
22 × 2 + 2 = 46
46 × 2 + 2 = 94
94 × 2 + 2 = 190
190 × 2 + 2 = 382
382 × 2 + 2 = 766

Ans: C


7. 50, ......, 386, 770, 1538, 3074
A) 96      B) 94      C) 52      D) 98
Sol: 50 × 2 − 2 = 98
98 × 2 − 2 = 194
194 × 2 − 2 = 386
386 × 2 − 2 = 770
770 × 2 − 2 = 1538
1538 × 2 − 2 = 3074

Ans: D


8. 16, 50, ......, 458, 1376, 4130
A) 160      B) 140      C) 152      D) 175
Sol: 16 × 3 + 2 = 50
50 × 3 + 2 = 152
152 × 3 + 2 = 458
458 × 3 + 2 = 1376
1376 × 3 + 2 = 4130

Ans: C


9. 40, 77, 151, ......, 595 , 1187 , 2371
A) 265      B) 271      C) 280      D) 299
Sol: 40 × 2 − 3 = 77
77 × 2 − 3 = 151
151 × 2 − 3 = 299
299 × 2 − 3 = 595
595 × 2 − 3 = 1187
1187 × 2 − 3 = 2371

Ans: D


10. 16, 20, 36, 56, 92, 148, 240, .......
A) 404      B) 414      C) 340      D) 388
Sol: 16 + 20 = 36
20 + 36 = 56
36 + 56 = 92
56 + 92 = 148
92 + 148 = 240
148 + 240 = 388

Ans: D


11. 10, 30, ......, 150, 310, 630, 1270
A) 40      B) 50      C) 60      D) 70
Sol: 10 × 2 + 10 = 30
30 × 2 + 10 = 70
70 × 2 + 10 = 150
150 × 2 + 10 = 310
310 × 2 + 10 = 630
630 × 2 + 10 = 1270

Ans: D


12. 70, 151, 215, 264, 300, 325, .......
A) 312      B) 321      C) 314      D) 341
Sol: 70 + 92 = 151
151 + 82 = 215
215 + 72 = 264
264 + 62 = 300
300 + 52 = 325
325 + 42 = 341

Ans: D


13. 30, 63, 130, 525, ......, 15793
A) 2424      B) 2462     C) 2514      D) 2631
Sol: 30 × 2 + 3 = 63
63 × 3 + 4 = 130
130 × 4 + 5 = 525
525 × 5 + 6 = 2631
2631 × 6 + 7 = 15793

Ans: D


14. 12, 53, ......, 873, 3497, 13993
A) 187      B) 197      C) 207      D) 217
Sol: 12 × 4 + 5 = 53
53 × 4 + 5 = 217
217 × 4 + 5 = 873
873 × 4 + 5 = 3497
3497 × 4 + 5 = 13993

Ans: D


15. 40, 89, 187, 383, 775, 1559, .......
A) 3127      B) 3230     C) 3060      D) 3340
Sol: 40 × 2 + 9 = 89
89 × 2 + 9 = 187
187 × 2 + 9 = 383
383 × 2 + 9 = 775
775 × 2 + 9 = 1559
1559 × 2 + 9 = 3127

Ans: A


16. 9, 35, 138, 549, ......, 8763
A) 2092      B) 2192     C) 1992      D) 2292
Sol: 9 × 4 − 1 = 35
35 × 4 − 2 = 138
138 × 4 − 3 = 549
549 × 4 − 4 = 2192
2192 × 4 − 5 = 8763

Ans: B


17. 6, 14, ......, 62, 126, 254, 510
A) 20      B) 42      C) 30      D) 25
Sol: 6 × 2 + 2 = 14
14 × 2 + 2 = 30
30 × 2 + 2 = 62
62 × 2 + 2 = 126
126 × 2 + 2 = 254
254 × 2 + 2 = 510

Ans: C


18. 9, 8, 14, 39, ......, 755, 4524
A) 152      B) 151     C) 171      D) 172
Sol: 9 × 1 − 1 = 8
8 × 2 − 2 = 14
14 × 3 − 3 = 39
39 × 4 − 4 = 152
152 × 5 − 5 = 755
755 × 6 − 6 = 4524

Ans: A


19. 15, 19, 42, 130, 524, .......
A) 2523      B) 2620     C) 2124      D) 2624
Sol: 15 × 1 + 4 = 19
19 × 2 + 4 = 42
42 × 3 + 4 = 130
130 × 4 + 4 = 524
524 × 5 + 4 = 2624

Ans: D


20. 10, 25, 70, 205, 610, ......, 5470
A) 1875      B) 1795     C) 1815     D) 1825
Sol: 10 × 3 − 5 = 25
25 × 3 − 5 = 70
70 × 3 − 5 = 205
205 × 3 − 5 = 610
610 × 3 − 5 = 1825
1825 × 3 − 5 = 5470

Ans: D


21. 10, 9, 16, 45, 176, 875, .......
A) 5644      B) 5624     C) 5244      D) 5544
Sol: 10 × 1 − 1 = 9
9 × 2 − 2 = 16
16 × 3 − 3 = 45
45 × 4 − 4 = 176
176 × 5 − 5 = 875
875 × 6 − 6 = 5244

Ans: C


22. 12, 24, ......, 288, 1440, 8640, 60480
A) 64      B) 68      C) 70      D) 72
Sol: 12 × 2 = 24
24 × 3 = 72
72 × 4 = 288
288 × 5 = 1440
1440 × 6 = 8640
8640 × 7 = 60480

Ans: D


23. 16, 24, 48, 120, 360, ......, 5040
A) 1060      B) 1260     C) 1360      D) 1560
Sol: 16 × 1.5 = 24
24 × 2 = 48
48 × 2.5 = 120
120 × 3 = 360
360 × 3.5 = 1260
1260 × 4 = 5040

Ans: B


24. 15, 17, 21, 29, 45, 77, .......
A) 141      B) 150      C) 161      D) 171
Sol: 15 + 2 = 17
17 + 4 = 21
21 + 8 = 29
29 + 16 = 45
45 + 32 = 77
77 + 64 = 141

Ans: A


25. 8, 26, 62, 134, ......, 566, 1142
A) 280      B) 278      C) 270      D) 288
Sol: 8 × 2 + 10 = 26
26 × 2 + 10 = 62
62 × 2 + 10 = 134
134 × 2 + 10 = 278
278 × 2 + 10 = 566
566 × 2 + 10 = 1142

Ans: B


26. 8, 32, 160, ......, 6720, 53760
A) 964      B) 960     C) 970      D) 972
Sol: 8 × 4 = 32
32 × 5 = 160
160 × 6 = 960
960 × 7 = 6720
6720 × 8 = 53760

Ans: B

 

Some more...

 

Directions (Qs. 1 - 21): Select the number from among the given options that can replace the question mark (?) in the following series.
 

1. 9, 27, 81, 243, 729, ?
A) 2817      B) 2187    C) 2278         D) 2619

Ans: B


2. 6, 24, 54, 96, ?, 216
A) 144       B) 128       C) 126       D) 150

Ans: D


3. 7200, 1440, 360, 120, 60, ?
A) 6       B) 120       C) 60       D) 30

Ans: C


4. 10, 29, 66, 127, 218, ?
A) 345       B) 346       C) 347       D) 348

Ans: A


5. 20, 35, 53, 74, 98, ?
A) 121       B) 120       C) 140       D) 125

Ans: D


6. 33, 65, 129, 257, 513, ?
A) 1025       B) 1024     C) 1026       D) 1030

Ans: A


7. 23, 120, 605, 3030, ?
A) 14055       B) 15055      C) 15155       D) 14155

Ans: C


8. 10, 73, 505, 3025, 15121, ?
A) 60148       B) 60841      C) 60481       D) 60418

Ans: C


9. 20, 46, 66, 112, 178, 290, ?
A) 448       B) 468       C) 478       D) 470

Ans: B


10. 81, 27, 54, 18, 36, 12, ?
A) 27       B) 24       C) 28       D) 48

Ans: B


11. 16, 35, 109, 441, 2211, ?
A) 13723       B) 13373     C) 13273       D) 13370

Ans: C


12. 15, 13, 23, 65, 255, ?
A) 1269       B) 1296      C) 1261       D) 1265

Ans: A


13. 6, 47, 328, 1967, 9834, ?
A) 39135       B) 39343     C) 39345       D) 39335

Ans: D


14. 69, 70, 74, 90, 154, ?
A) 410       B) 420       C) 400       D) 415

Ans: A


15. 59, 60, 62, 71, 135, ?
A) 840       B) 1035     C) 760       D) 670

Ans: C


16. 256, 192, 144, 108, ?
A) 81       B) 243       C) 75       D) 60

Ans: A


17. 81, 246, 741, 2226, 6681, ?
A) 20046       B) 20064     C) 20061       D) 20604

Ans: A


18. 6, 7, 15, 42, 106, ?
A) 216       B) 204      C) 201       D) 231

Ans: D


19. 15, 95, 159, 207, 239, ?
A) 250       B) 254       C) 255       D) 256

Ans: C


20. 3125, 625, 125, 25, 5, ?
A) 1       B) 5       C) 4       D)1/5
Ans: A


21. 1728, 2197, 2744, 3375, ?
A) 4906       B) 4096       C) 4609       D) 4690

Ans: B

Explanations

1. Series pattern:
Every next element
= 3 × Previous element
9 × 3 = 27, 27 × 3 = 81,
81 × 3 = 243, 243 × 3 = 729
So, 729 × 3 = 2187
Therefore, Missing term = 2187.


2. 6 × 12 = 6, 6 × 22 = 24, 6 × 32 = 54
6 × 42 = 96, 6 × 52 = 150,
6 × 62 = 216
So, the missing term should be 150.


3. 7200 ÷ 5 = 1440, 1440 ÷ 4 = 360,
360 ÷ 3 = 120, 120 ÷ 2 = 60,
60 ÷ 1 = 60
So, the missing term should be 60.


4. 23 + 2 = 10, 33 + 2 = 29,
43 + 2 = 66
53 + 2 = 127, 63 + 2 = 218
So, similarly 73 + 2 = 345


5. 20 + 15 = 35, 35 + 18 = 53,
53 + 21 = 74, 74 + 24 = 98,
98 + 27 = 125
So, missing term = 125


6. 33 × 2 − 1 = 65, 65 × 2 − 1 = 129
129 × 2 − 1 = 257
257 × 2 − 1 = 513
513 × 2 − 1 = 1025


7. 23 × 5 + 5 = 120, 120 × 5 + 5 = 605
605 × 5 + 5 = 3030
3030 × 5 + 5 = 15155


8. 10 × 8 − 7 = 73, 73 × 7 − 6 = 505
505 × 6 − 5 = 3025
3025 × 5 − 4 = 15121
15121 × 4 − 3 = 60481


9. In this series each term is the addition of the two previous terms.
20 + 46 = 66, 46 + 66 = 112,
66 + 112 = 178,
112 + 178 = 290
178 + 290 = 468
10. 81 ÷ 3 = 27, 27 × 2 = 54
54 ÷ 3 = 18, 18 × 2 = 36
36 ÷ 3 = 12, 12 × 2 = 24


11. 16 × 2 + 3 = 35, 35 × 3 + 4 = 109
109 × 4 + 5 = 441,
441 × 5 + 6 = 2211
2211 × 6 + 7 = 13273


12. 15 × 1 − 2 = 13, 13 × 2 − 3 = 23
23 × 3 − 4 = 65, 65 × 4 − 5 = 255
255 × 5 − 6 = 1269


13. 6 × 8 − 1 = 47, 47 × 7 − 1 = 328
328 × 6 − 1 = 1967
1967 × 5 − 1 = 9834
9834 × 4 − 1 = 39335


14. 69 + 40 = 69 + 1 = 70
70 + 41 = 70 + 4 = 74
74 + 42 = 74 + 16 = 90
90 + 43 = 90 + 64 = 154
154 + 44 = 154 + 256 = 410


15. 59 + 10 = 60, 60 + 21 = 62
62 + 32 = 71, 71 + 43 = 135
135 + 54 = 760


16. 


17. 81 × 3 + 3 = 246
246 × 3 + 3 = 741
741 × 3 + 3 = 2226
2226 × 3 + 3 = 6681
6681 × 3 + 3 = 20046


18. 6 + 13 = 7, 7 + 23 = 15,
15 + 33 = 42, 42 + 43 = 106,
106 + 53 = 231


19. 15 + 80 = 95, 95 + 64 = 159,
159 + 48 = 207, 207 + 32 = 239,
239 + 16 = 255
Above are 16 multiples.


20. 3125 ÷ 5 = 625, 625 ÷ 5 = 125
125 ÷ 5 = 25, 25 ÷ 5 = 5,
5 ÷ 5 = 1


21. 123 = 1728, 133 = 2197
143 = 2744,
153 = 3375, 163 = 4096

Posted Date : 28-06-2022

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.

 

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