Arithmetic Ability Objective Questions and Answers: Number Series
Review structured MCQ sets for General Aptitude Arithmetic Ability Number Series. Built according to official Aptitude guidelines, these downloadable questions support daily revision and core concept reinforcement.
Download Number Series MCQs with Answers
View or download the dedicated Number Series MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Arithmetic Ability evaluations.
Multiple Choice Questions
160, 80, 120, 300, ?
(a) 1050
(b) 1000
(c) 1040
(d) 1020
(e) 1060
Show Answer & Explanation
Answer: (a) 1050
Explanation:
1. 160 × 0.5 = 80, 80 × 1.5 = 120, 120 × 2.5 = 300.
2. The multiplier increases by 1 each time.
3. ? = 300 × 3.5 = 1050.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
4, 5, 8, 15, ?
(a) 25
(b) 26
(c) 28
(d) 31
(e) 24
Show Answer & Explanation
Answer: (c) 28
Explanation:
1. Differences: 1, 3, 7.
2. The differences themselves grow by 2, 4, 6..., so the next difference is 7 + 6 = 13.
3. ? = 15 + 13 = 28.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
19, 27, 0, 64, ?, 155
(a) 61
(b) 83
(c) -23
(d) 47
(e) Other than the given options
Show Answer & Explanation
Answer: (e) Other than the given options
Explanation:
1. 19 + 23 = 27, 27 - 33 = 0, 0 + 43 = 64.
2. Cubes of 2, 3, 4, 5, 6 are added and subtracted alternately.
3. ? = 64 - 125 = -61; check: -61 + 216 = 155.
4. -61 is not among options (a) to (d).
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
122, 62, 32, ?, 9.5, 5.75
(a) 19
(b) 24
(c) 17
(d) 20.25
(e) Other than the given options
Show Answer & Explanation
Answer: (c) 17
Explanation:
1. Each term = previous term ÷ 2 + 1.
2. 122 ÷ 2 + 1 = 62, 62 ÷ 2 + 1 = 32.
3. ? = 32 ÷ 2 + 1 = 17; check: 17 ÷ 2 + 1 = 9.5 and 9.5 ÷ 2 + 1 = 5.75.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
49, 216, 625, 1024, 729, ?
(a) 128
(b) 512
(c) 256
(d) 324
(e) Other than the given options
Show Answer & Explanation
Answer: (a) 128
Explanation:
1. 49 = 72, 216 = 63, 625 = 54, 1024 = 45, 729 = 36.
2. The base falls by 1 while the power rises by 1.
3. ? = 27 = 128.
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
71, ?, 868, 4345, 26076
(a) 322
(b) 264
(c) 198
(d) 216
(e) Other than the given options
Show Answer & Explanation
Answer: (d) 216
Explanation:
1. Rule: multiply by n and add n, with n = 3, 4, 5, 6.
2. 71 × 3 + 3 = 216, 216 × 4 + 4 = 868.
3. Check: 868 × 5 + 5 = 4345 and 4345 × 6 + 6 = 26076, so ? = 216.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
1, 12, 144, 1728, ?
(a) 18024
(b) 9962
(c) 20736
(d) 21302
(e) Other than the given options
Show Answer & Explanation
Answer: (c) 20736
Explanation:
1. Each term is 12 times the previous one: 120, 121, 122, 123.
2. ? = 1728 × 12 = 20736 = 124.
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
8, 4.5, 5.5, 13, 56, ?
(a) 566
(b) 496
(c) 596
(d) 450
(e) 456
Show Answer & Explanation
Answer: (e) 456
Explanation:
1. 8 × 0.5 + 0.5 = 4.5, 4.5 × 1 + 1 = 5.5, 5.5 × 2 + 2 = 13, 13 × 4 + 4 = 56.
2. The multiplier and the number added are equal and double each time.
3. ? = 56 × 8 + 8 = 456.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
11, 14, 23, 50, ?
(a) 111
(b) 121
(c) 151
(d) 131
(e) 141
Show Answer & Explanation
Answer: (d) 131
Explanation:
1. Differences: 3, 9, 27 - powers of 3.
2. Next difference = 81.
3. ? = 50 + 81 = 131.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
19, 25, 42, 71, 113, ?
(a) 169
(b) 153
(c) 186
(d) 196
(e) 269
Show Answer & Explanation
Answer: (a) 169
Explanation:
1. Differences: 6, 17, 29, 42.
2. Second differences: 11, 12, 13, so the next is 14 and the next difference is 42 + 14 = 56.
3. ? = 113 + 56 = 169.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
21, 35, 30, 44, 39, ?
(a) 59
(b) 53
(c) 55
(d) 45
(e) 46
Show Answer & Explanation
Answer: (b) 53
Explanation:
1. The series alternately adds 14 and subtracts 5.
2. 21 + 14 = 35, 35 - 5 = 30, 30 + 14 = 44, 44 - 5 = 39.
3. ? = 39 + 14 = 53.
Teacher's Note:
1. When the terms go up and down alternately, split the series into odd-position and even-position terms and study each part separately.
2. Two interleaved simple series (one adding, one multiplying, for example) are a favourite trick in reasoning papers.
7, 14, 30, 56, 93, ?
(a) 142
(b) 403
(c) 124
(d) 96
(e) 124
Show Answer & Explanation
Answer: (a) 142
Explanation:
1. Differences: 7, 16, 26, 37.
2. Second differences: 9, 10, 11, so the next is 12 and the next difference is 49.
3. ? = 93 + 49 = 142.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
23, 39, 32, 48, 41, ?
(a) 58
(b) 57
(c) 59
(d) 48
(e) 84
Show Answer & Explanation
Answer: (b) 57
Explanation:
1. The series alternately adds 16 and subtracts 7.
2. 23 + 16 = 39, 39 - 7 = 32, 32 + 16 = 48, 48 - 7 = 41.
3. ? = 41 + 16 = 57.
Teacher's Note:
1. When the terms go up and down alternately, split the series into odd-position and even-position terms and study each part separately.
2. Two interleaved simple series (one adding, one multiplying, for example) are a favourite trick in reasoning papers.
11, 13, 20, 48, 111, ?
(a) 237
(b) 125
(c) 273
(d) 255
(e) 555
Show Answer & Explanation
Answer: (a) 237
Explanation:
1. Differences: 2, 7, 28, 63.
2. These are 13 + 1, 23 - 1, 33 + 1, 43 - 1, so the next is 53 + 1 = 126.
3. ? = 111 + 126 = 237.
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
13, 17, 33, 97, ?, 1377
(a) 259
(b) 563
(c) 535
(d) 455
(e) 353
Show Answer & Explanation
Answer: (e) 353
Explanation:
1. Differences: 4, 16, 64 - powers of 4.
2. ? = 97 + 256 = 353.
3. Check: 353 + 1024 = 1377.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
6, 3.5, 4.5, 11, 48, ?
(a) 96
(b) 56
(c) 392
(d) 192
(e) 292
Show Answer & Explanation
Answer: (c) 392
Explanation:
1. 6 × 0.5 + 0.5 = 3.5, 3.5 × 1 + 1 = 4.5, 4.5 × 2 + 2 = 11, 11 × 4 + 4 = 48.
2. Multiplier and added number double each step.
3. ? = 48 × 8 + 8 = 392.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
6, 16, 45, 184, 917, ?
(a) 5056
(b) 5506
(c) 5006
(d) 5060
(e) 6050
Show Answer & Explanation
Answer: (b) 5506
Explanation:
1. 6 × 2 + 4 = 16, 16 × 3 - 3 = 45, 45 × 4 + 4 = 184, 184 × 5 - 3 = 917.
2. The multiplier rises by 1; +4 and -3 alternate.
3. ? = 917 × 6 + 4 = 5506.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
11, 20, 38, 74, ?
(a) 85
(b) 96
(c) 100
(d) 136
(e) 146
Show Answer & Explanation
Answer: (e) 146
Explanation:
1. Each term = previous × 2 - 2.
2. 11 × 2 - 2 = 20, 20 × 2 - 2 = 38, 38 × 2 - 2 = 74.
3. ? = 74 × 2 - 2 = 146.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
15, 21, 38, 65, 101, ?
(a) 150
(b) 120
(c) 125
(d) 145
(e) 154
Show Answer & Explanation
Answer: (d) 145
Explanation:
1. Differences: 6, 17, 27, 36.
2. Second differences: 11, 10, 9, so the next is 8 and the next difference is 44.
3. ? = 101 + 44 = 145.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
24, 28, 19, 35, 10, ?
(a) 45
(b) 44
(c) 46
(d) 42
(e) 47
Show Answer & Explanation
Answer: (c) 46
Explanation:
1. 24 + 22 = 28, 28 - 32 = 19, 19 + 42 = 35, 35 - 52 = 10.
2. Squares of 2, 3, 4, 5, 6 are added and subtracted alternately.
3. ? = 10 + 62 = 46.
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
14, 6, 4, 4, 8, ?
(a) 32
(b) 8
(c) 4
(d) 16
(e) 14
Show Answer & Explanation
Answer: (a) 32
Explanation:
1. 14 × 1 - 8 = 6, 6 × 2 - 8 = 4, 4 × 3 - 8 = 4, 4 × 4 - 8 = 8.
2. The multiplier rises by 1 and 8 is always subtracted.
3. ? = 8 × 5 - 8 = 32.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
14, 25, 47, 91, ?, 355
(a) 100
(b) 197
(c) 179
(d) 335
(e) 155
Show Answer & Explanation
Answer: (c) 179
Explanation:
1. Each term = previous × 2 - 3.
2. 14 × 2 - 3 = 25, 25 × 2 - 3 = 47, 47 × 2 - 3 = 91.
3. ? = 91 × 2 - 3 = 179; check: 179 × 2 - 3 = 355.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
11, 24, 44, 70, 101, ?
(a) 136
(b) 102
(c) 80
(d) 102
(e) 163
Show Answer & Explanation
Answer: (a) 136
Explanation:
1. Differences: 13, 20, 26, 31.
2. Second differences: 7, 6, 5, so the next is 4 and the next difference is 35.
3. ? = 101 + 35 = 136.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
18, 8, 6, 8, 24, ?
(a) 6
(b) 48
(c) 24
(d) 176
(e) 167
Show Answer & Explanation
Answer: (d) 176
Explanation:
1. 18 × 0.5 - 1 = 8, 8 × 1 - 2 = 6, 6 × 2 - 4 = 8, 8 × 4 - 8 = 24.
2. The multiplier and the number subtracted both double each step.
3. ? = 24 × 8 - 16 = 176.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
28, 32, 23, 39, 14, ?
(a) 30
(b) 50
(c) 55
(d) 6
(e) 14
Show Answer & Explanation
Answer: (b) 50
Explanation:
1. 28 + 22 = 32, 32 - 32 = 23, 23 + 42 = 39, 39 - 52 = 14.
2. Squares of 2, 3, 4, 5, 6 are added and subtracted alternately.
3. ? = 14 + 36 = 50.
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
5, 12, 33, 136, 675, ?
(a) 5569
(b) 4426
(c) 5046
(d) 4065
(e) 4056
Show Answer & Explanation
Answer: (e) 4056
Explanation:
1. 5 × 2 + 2 = 12, 12 × 3 - 3 = 33, 33 × 4 + 4 = 136, 136 × 5 - 5 = 675.
2. Multiply by n and add or subtract n alternately (n = 2, 3, 4, ...).
3. ? = 675 × 6 + 6 = 4056.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
2, 5, 9, 19, 37, ?
(a) 76
(b) 74
(c) 75
(d) 73
(e) None of these
Show Answer & Explanation
Answer: (c) 75
Explanation:
1. 2 × 2 + 1 = 5, 5 × 2 - 1 = 9, 9 × 2 + 1 = 19, 19 × 2 - 1 = 37.
2. Double and alternately add 1 and subtract 1.
3. ? = 37 × 2 + 1 = 75.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
4, -8, 16, -32, 64, ?
(a) 128
(b) -128
(c) 192
(d) -192
(e) None of these
Show Answer & Explanation
Answer: (b) -128
Explanation:
1. Each term = previous × (-2).
2. 64 × (-2) = -128.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
2, 9, 28, 65, 126, 216, 344
(a) 2
(b) 28
(c) 65
(d) 126
(e) 216
Show Answer & Explanation
Answer: (e) 216
Explanation:
1. Each term = n3 + 1: 1 + 1 = 2, 8 + 1 = 9, 27 + 1 = 28, 64 + 1 = 65, 125 + 1 = 126.
2. The 6th term should be 63 + 1 = 217, and 73 + 1 = 344 fits.
3. So 216 is wrong.
Teacher's Note:
1. In a wrong-number question, find the rule using the terms at the start and the end of the series, then recompute each term to spot the odd one.
2. Only one term breaks the rule, so a rule that fails at two places is the wrong rule; try another pattern.
10, 26, 74, 218, 654, 1946, 5834
(a) 26
(b) 74
(c) 218
(d) 654
(e) 1946
Show Answer & Explanation
Answer: (d) 654
Explanation:
1. Each term = previous × 3 - 4: 10 × 3 - 4 = 26, 26 × 3 - 4 = 74, 74 × 3 - 4 = 218.
2. 218 × 3 - 4 = 650, not 654; and 650 × 3 - 4 = 1946, 1946 × 3 - 4 = 5834.
3. So 654 is wrong.
Teacher's Note:
1. In a wrong-number question, find the rule using the terms at the start and the end of the series, then recompute each term to spot the odd one.
2. Only one term breaks the rule, so a rule that fails at two places is the wrong rule; try another pattern.
59.76, 58.66, 56.46, 52.06, ?, 25.66
(a) 48.08
(b) 46.53
(c) 43.46
(d) 43.26
(e) None of these
Show Answer & Explanation
Answer: (d) 43.26
Explanation:
1. Differences: 1.1, 2.2, 4.4 - each double the last.
2. Next difference = 8.8, so ? = 52.06 - 8.8 = 43.26.
3. Check: 43.26 - 17.6 = 25.66.
Teacher's Note:
1. First write the differences between consecutive terms; if they are not constant, take differences again or compare them with squares, cubes or powers of 2 and 3.
2. When a series grows by roughly the same factor each time, test multiply-and-add rules such as x × 2 + 1 before trying differences.
36, 157, 301, 470, ?, 891
(a) 646
(b) 695
(c) 639
(d) 669
(e) None of these
Show Answer & Explanation
Answer: (e) None of these
Explanation:
1. Differences: 121, 144, 169 = 112, 122, 132.
2. ? = 470 + 142 = 470 + 196 = 666; check: 666 + 152 = 891.
3. 666 is not in options (a) to (d).
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
14, 70, 350, ?, 8750, 43750
(a) 1570
(b) 875
(c) 1750
(d) 785
(e) None of these
Show Answer & Explanation
Answer: (c) 1750
Explanation:
1. Each term is 5 times the previous one.
2. ? = 350 × 5 = 1750; check: 1750 × 5 = 8750.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
13, 13, 65, 585, 7605, 129285, ?
(a) 2456415
(b) 2235675
(c) 2980565
(d) 2714985
(e) 2197845
Show Answer & Explanation
Answer: (d) 2714985
Explanation:
1. Multipliers: ×1, ×5, ×9, ×13, ×17 - they rise by 4.
2. Next multiplier = 21.
3. ? = 129285 × 21 = 2714985.
Teacher's Note:
1. If each term is roughly a fixed multiple of the previous one, divide neighbouring terms to find the multiplier, then check what is added or subtracted.
2. Multipliers that rise by 1 (×1, ×2, ×3 ...) or halve/double each step are very common in bank and SSC exam series.
1, 16, 81, 256, 625, 1296, ?
(a) 4096
(b) 2401
(c) 1764
(d) 3136
(e) 6561
Show Answer & Explanation
Answer: (b) 2401
Explanation:
1. The terms are 14, 24, 34, 44, 54, 64.
2. ? = 74 = 2401.
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
1, 7, 49, 343, ?
(a) 16807
(b) 1227
(c) 2058
(d) 2401
(e) None of these
Show Answer & Explanation
Answer: (d) 2401
Explanation:
1. Powers of 7: 70, 71, 72, 73.
2. ? = 343 × 7 = 74 = 2401.
Teacher's Note:
1. Learn squares up to 30 and cubes up to 15 by heart; many series are just n2, n3 or n4 with a small change.
2. If the terms are large and do not grow evenly, check whether they are powers such as 72, 63, 54.
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