Number Series Questions of Reasoning [Different Types]

Hello Dear Candidates,
Number Series Questions of Reasoning is a part of Series Completion Questions. You have to understand the series pattern to answer the question. Sometimes its easy but not all the time.

See the various types of questions asked in other exams which we have included here to help you understand the fundamental to some difficult questions.

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Number Series Questions of Reasoning

Type-I: Completing The Given Series By Finding The Missing Term.

1. 2, 5, 9, 19, 37, ?
1. 73
2. 75
3. 76
4. 78
   Ans: 75 (2 x 2 + 1 = 5, 5 x 2 - 1 = 9, 9 x 2 + 1 = 19, 19 x 2 - 1 = 37)


2. 4, 8, 28, 80, 244, ?
1. 278
2. 428
3. 628
4. 728
   Ans: 728 (3¹+1, 3²-1, 3³+1, 3⁴-1, 3⁵+1)


3. 0, 6, 24, 60, 120, 210, ?
1. 240
2. 290
3. 336
4. 504
   Ans: 336 (1³-1, 2³-2, 3³-3, 4³-4, 5³-5, 6³-6)


4. 1, 4, 27, 16, ?, 36, 343
1. 25
2. 87
3. 120
4. 125
   Ans: 125 (1³, 2², 3³, 4², 5³)


5. 4, 6, 12, 14, 28, 30, ?
1. 32
2. 60
3. 62
4. 64
   Ans: 60 (there are two series ie. 4, 12, 28, ? and 6, 14, 30 & pattern is +8, +16, +32)




6. Which fraction comes next in the sequences 1/2, 3/4, 5/8, 7/16, ?
1. 9/32
2. 10/17
3. 11/34
4. 12/35
   Ans: 9/32 (Numerators are 1, 3, 5, 7, 9 and denominators are 2, 4, 8, 16, 32)


7. Find the missing term in the series: 3, 20, 63, 144, 275, ?
1. 354
2. 468
3. 548
4. 554
   Ans: 468 (
   
   Triangular Pattern Series)


8. In the series 357, 363, 369, ......, what will be the 10th term?
1. 405
2. 411
3. 413
4. 417
   Ans: 411 (use Arithmetic Progression Formula "nth term = a + (n – 1) d")
   ∴ 10th term = a + (10 – 1) d = a+9d
              = (357 + 9 x 6) = (357 + 54) = 411


9. How many terms are there in the series 201, 208, 215, ......, 369?
1. 23
2. 24
3. 25
4. 26
   Ans: 25 [using A.P Formula a = 201 and d = 7 then
   ∴ 369 = 201 + (n-1)x7 or n = 25]


10. In the series 7, 14, 28, ....., what will be the 10th term?
1. 1792
2. 2456
3. 3584
4. 4096
   Ans: 3584 ( use Geometric Progression Formula "nth term = ar^n-1")
   ∴ 10th term = ar^10-1 = ar⁹ = 7 x 2⁹ = 7 x 512 = 3584




11. 1, 9, 25, 49, ?, 121
1. 64
2. 81
3. 91
4. 100
   Ans: 81


12. 4, 7, 12, 19, 28, ?
1. 30
2. 36
3. 39
4. 49
   Ans: 39


13. 11, 13, 17, 19, 23, 25, ?
1. 26
2. 27
3. 29
4. 37
   Ans: 29


14. 6, 12, 21, ?, 48
1. 33
2. 38
3. 40
4. 45
   Ans: 33


15. 2, 5, 9, ?, 20, 27
1. 14
2. 16
3. 18
4. 24
   Ans: 14


16. 6, 11, 21, 36, 56, ?
1. 42
2. 51
3. 81
4. 91
   Ans: 81


17. 10, 18, 28, 40, 54, 70, ?
1. 85
2. 86
3. 87
4. 88
   Ans: 88




18. 120, 99, 80, 63, 48, ?
1. 35
2. 38
3. 39
4. 40
   Ans: 35


19. 22, 24, 28, ?, 52, 84
1. 36
2. 38
3. 42
4. 46
   Ans: 36


20. 4832, 5840, 6848, ?
1. 7815
2. 7846
3. 7856
4. 7887
   Ans: 7856


21. 0.5, 0.55, 0.65, 0.8, ?
1. 0.9
2. 0.82
3. 1
4. 0.95
   Ans: 1


22. 1, 1, 2, 6, 24, ?, 720
1. 100
2. 104
3. 108
4. 120
   Ans: 120

Type - II : Finding the Wrong Term in the Given Series

1. Find the wrong number in the series 7, 28, 63, 124, 215, 342, 511
1. 7
2. 28
3. 124
4. 215
5. 342
   Ans: 28 (Pattern is 2³ – 1, 3³ – 1, 4³ – 1, 5³ -1, 6³ – 1, 7³ – 1, 8³ – 1)


2. Find the wrong number in the series 3, 8, 15, 24, 34, 48, 63
1. 15
2. 24
3. 34
4. 48
5. 63
   Ans: 34 (Difference between consecutive terms of the given series are respectively 5, 7, 9, 11, 13 and 15)


3. 196, 169, 144, 121, 101 find the wrong number in the series?
1. 101
2. 121
3. 169
4. 196
   Ans: 101 (sequence is 14², 13², 12², 11², 10²)


4. 16, 22, 30, 45, 52, 66 find the wrong number in the series?
1. 30
2. 45
3. 52
4. 66
   Ans: 45

More questions will be added soon