Series Number Sequence Practice Problems: Level 02

DIRECTIONS for questions 1-10: In each of the following number series given, one particular number is wrong. Find out that wrong number in each series.
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  1. 2 3 10 38 172
    1. 192
    2. 10
    3. 38
    4. 2
    5. 3
    Sol: Option 3
    Explanation: Logic is 2×1 + 1 = 3, 3 × 2 + 4 =10, 10 × 3 + 9 = 39, 39 × 4 + 16 = 172…. So in place of 38, it should be 39.
  2. 8 19 52 151 447
    1. 19
    2. 8
    3. 52
    4. 447
    5. 151
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    Sol: Option 4
    Explanation: The logic is 8 × 3 – 5 = 19, 19 × 3 – 5 = 52, 52 × 3 – 5 = 151. So in place of 447, it should be 448.
  3. 4 2 3 7.5 26.75
    1. 26.75
    2. 7.5
    3. 3
    4. 2
    5. 4
    Sol: Option 1
    Explanation: Logic is 4 × .5 = 2, 2 × 1.5 = 3, 3 × 2.5 = 7.5, 7.5 × 3.5 = 26.25 In place of 26.75, it should be 26.25.
  4. 2 3 10 40 172 885 5346
    1. 3
    2. 885
    3. 40
    4. 172
    5. 10
    Sol: Option 3
    Explanation: Logic is 2 × 1 + 1 = 3, 3 × 2 + 4 = 10, 10 × 3 + 9 = 39. Thus the wrong number is 40,it should be 39.
  5. 15 18 20 29 45 70 106
    1.18
    2.20
    3.29
    4.45
    5.70
    Sol: Option 1
    Explanation: Starting from the back
    106– 70 = 36, 70- 45 = 25, 45 – 29 = 16, 29 – 20 = 9, 20 – 16 = 4, 16 – 15 = 1. Every difference is perfect square starting from 36 and decreasing. Thus the wrong number is 18, it should be 16.
  1. 11 14 20 29 40 56
    1. 40
    2. 4
    3. 10
    4. 19
    5. 1
    Sol: Option 1
    Explanation: Logic is that first difference is 3, next difference is 6, 9, so next should be 12 & 15. So instead of 40 the term should be 41
  2. 49 50 46 55 38 64 28
    1. 49
    2. 46
    3. 55
    4. 38
    5. 64
    Sol: Option 4
    Explanation: Logic is 49 + 1 = 50, 50 – 4 = 46, 46 + 9 = 55, 55 – 16 = 39, 39 + 25 = 64. Thus the wrong number is 38, it should be 39.
  3. 6 15 41 179 839
    1. 15
    2. 6
    3. 179
    4. 41
    5. 839
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    Sol: Option 3
    Explanation: Logic is 6 × 2 + 3 = 15, 15 × 3 – 4 = 41, 41 × 4 + 5 = 169, 169 × 5 – 6 = 839
    Thus the wrong number is 179, it should be 169.
  4. 4 6 12 30 90 312.50 1260
    1. 6
    2. 90
    3. 30
    4. 12
    5. 312.50
    Sol: Option 5
    Explanation: Logic is 4 × 1.5 = 6, 6 × 2 = 12, 12 × 2.5 = 30, 30 × 3 = 90, 90 × 3.5 = 315, 315 × 4 = 1260. Thus the wrong number is 312.50, it should be 315.
  5. 35 19 11 7 5 4.5 3.5
    1. 4.5
    2. 5
    3. 11
    4. 19
    5. 7
    Sol: Option 1
    Explanation: 35-19 = 16, 19-11 = 8, 11-7 = 4, 7-5 = 2, 5-4 = 1, 4-3.5 = .5 The difference is halved every time. Thus the wrong number is 4.5, it should be 4.
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