All questions of Number Series for Banking Exams Exam

8, 9, 15, 32, ?, 250.5
  • a)
    82.5
  • b)
    47.5
  • c)
    62.5
  • d)
    37.5
  • e)
    64.5
Correct answer is option 'A'. Can you explain this answer?

Ravi Singh answered
8 * 1 + 1 = 9
9 * 1.5 + 1.5= 15
15 * 2 + 2 = 32
32 * 2.5 + 2.5 = 82.5
82.5 * 3 + 3 = 250.5
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2, 5, 9, 42, 98, ?
  • a)
    233
  • b)
    218
  • c)
    221
  • d)
    225
  • e)
    242
Correct answer is option 'A'. Can you explain this answer?

2 + 1³ + 2 = 5
5 + 2³ – 4 = 9
9 + 3³ + 6 = 42
42 + 4³ – 8 = 98
98 + 5³ + 10 = 233

3, 11, 47, 183, ?, 2947
  • a)
    775
  • b)
    770
  • c)
    765
  • d)
    783
  • e)
    739
Correct answer is option 'E'. Can you explain this answer?

Aisha Gupta answered
3 * 4 – 1 = 11
11 * 4 + 3 = 47
47 * 4 – 5 = 183
183 * 4 + 7 = 739
739 * 4 – 9 = 2947

17, 98, 26, ?, 35, 80
  • a)
    79
  • b)
    69
  • c)
    89
  • d)
    59
  • e)
    49
Correct answer is option 'C'. Can you explain this answer?

Kavya Saxena answered
The correct answer is 89 because each number in the sequence, when divided by 9, leaves a remainder of 8. Here’s the breakdown:
  • 17 divided by 9 leaves a remainder of 8.
  • 98 divided by 9 leaves a remainder of 8.
  • 26 divided by 9 leaves a remainder of 8.
  • 35 divided by 9 leaves a remainder of 8.
  • 80 divided by 9 leaves a remainder of 8.
So, the missing number should also leave a remainder of 8 when divided by 9. Among the given options, 89 is the only number that fits this pattern.

7, 4.5 ,5.5, 12, 49,?
  • a)
    393
  • b)
    351
  • c)
    362
  • d)
    375
  • e)
    364
Correct answer is option 'A'. Can you explain this answer?

Faizan Khan answered
7 × 0.5 + 1 = 4.5.
4.5 × 1 + 1 = 5.5.
5.5 × 2 + 1 = 12.
12 × 4 + 1 = 49.
49 × 8 + 1 = 393.

4, 15, 63, 247, 995, ?
  • a)
    3975
  • b)
    3973
  • c)
    3965
  • d)
    3971
  • e)
    3955
Correct answer is option 'D'. Can you explain this answer?

Rhea Reddy answered
4 * 4 – 1 = 15
15 * 4 + 3 = 63
63 * 4 – 5 = 247
247 * 4 + 7 = 995
995 * 4 – 9 = 3971

7, ?, 19, 45, 95, 177
  • a)
    8
  • b)
    5
  • c)
    6
  • d)
    7
  • e)
    9
Correct answer is option 'E'. Can you explain this answer?

Aarav Sharma answered
Explanation:

To find the missing number in the sequence 7, ?, 19, 45, 95, 177, we need to observe the pattern or rule followed by the given numbers.

Pattern:
Let's look at the differences between consecutive numbers in the sequence:

- The difference between the first and second numbers is 2.
- The difference between the second and third numbers is 4.
- The difference between the third and fourth numbers is 8.
- The difference between the fourth and fifth numbers is 16.
- The difference between the fifth and sixth numbers is 32.

We can see that the differences between consecutive numbers are increasing in multiples of 2. This suggests that the next difference should be 32 * 2 = 64.

Finding the missing number:
To find the missing number, we can add the next difference to the last given number in the sequence:

177 + 64 = 241

Therefore, the missing number is 241.

Answer:
The correct answer is option 'E' (9).

2, 5, 17, 50, 122, ?
  • a)
    252
  • b)
    258
  • c)
    257
  • d)
    225
  • e)
    242
Correct answer is option 'C'. Can you explain this answer?

Harsh Goyal answered
1²+1 = 2
2²+1 = 5
4²+1 = 17
7²+1 = 50
11²+1 = 122
16²+1 = 257*

series of square is according to:
1 , 1+1=2 , 2+2=4 , 4+3=7 , 7+4=11 , 11+5=16

5, 7, 10, 36, 136, ?
  • a)
    640
  • b)
    680
  • c)
    650
  • d)
    690
  • e)
    620
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Given sequence: 5, 7, 10, 36, 136, ?

To find the next number in the sequence, we need to observe the pattern.

Observations:
- The difference between the first two numbers is 2, then it gradually increases.
- The difference between the last two numbers is 136 - 36 = 100.
- It seems that each term is a multiple of the previous term plus a constant.

Using these observations, we can find the next number in the sequence as follows:

- The difference between 10 and 7 is 3, and the difference between 36 and 10 is 26. So, it seems that the difference between consecutive differences is increasing by 1.
- Therefore, the difference between the next two numbers should be 26 + 4 = 30.
- The last number in the sequence is 136, so the next number should be 136 + 30 = 166.

Therefore, the correct answer is option D) 690.

2, 4, 7, ?, 87, 344
  • a)
    38
  • b)
    24
  • c)
    56
  • d)
    44
  • e)
    62
Correct answer is option 'B'. Can you explain this answer?

Kavya Saxena answered
2 + 1² + 1 = 4
4 + 2² – 1 = 7
7 + 4² + 1 = 24
24 + 8² – 1 = 87
87 + 16² + 1 = 344

4, 5, 6, 14, ?, 100.5
  • a)
    32.5
  • b)
    47.5
  • c)
    67.5
  • d)
    37.5
  • e)
    27.5
Correct answer is option 'A'. Can you explain this answer?

Nikita Singh answered
4 * 1 + 1 = 5
5 * 1.5 – 1.5= 6
6 * 2 + 2 = 14
14 * 2.5 – 2.5 = 32.5
32.5 * 3 + 3 = 100.5

3, 5, 15, 45, 113, ?
  • a)
    253
  • b)
    263
  • c)
    243
  • d)
    651
  • e)
    655
Correct answer is option 'C'. Can you explain this answer?

Arya Roy answered
Sub-series formed by the difference between consecutive terms is 2, 10, 30 and 68.
This sub-series follows the below pattern.
1^3 + 1, 2^3 + 2, 3^3 + 3 and 4^3 + 4.

So the next term of the difference sub-series will be 5^3 + 5 = 130. Final answer will be 113 + (5^3 + 5) = 113 + 130 = 243.

Hence answer is 243.

below is a detailed representation of the entire series.

3 + (1^3 + 1) = 3 + 2 = 5
5 + (2^3 + 2) = 5 + 10 = 15
15 + (3^3 + 3) = 15 + 30 = 45
45 + (4^3 + 4) = 45 + 68 = 113
113 + (5^3 + 5) = 113+130 = 243.

9, 5, 6, 10.5, 23 ?
  • a)
    50
  • b)
    65
  • c)
    70
  • d)
    55
  • e)
    60
Correct answer is option 'E'. Can you explain this answer?

Ravi Singh answered
9 * 0.5 + 0.5 = 5
5 * 1 + 1 = 6
6 * 1.5 + 1.5 = 10.5
10.5 * 2 + 2 = 23
23 * 2.5 + 2.5 = 60

12 7 9 22 96 ?
  • a)
    754
  • b)
    784
  • c)
    794
  • d)
    734
  • e)
    744
Correct answer is option 'B'. Can you explain this answer?

Aisha Gupta answered
12 * 0.5 + 1 = 7
7 * 1 + 2 = 9
9 * 2 + 4 = 22
22 * 4 + 8 = 96
96 * 8 + 16 = 784

5, 6, 10, 33, 128, ?
  • a)
    645
  • b)
    680
  • c)
    650
  • d)
    690
  • e)
    620
Correct answer is option 'A'. Can you explain this answer?

Nikita Singh answered
5 * 1 + 1 = 6
6 * 2 – 2 = 10
10 * 3 + 3 = 33
33 * 4 – 4 = 128
128 * 5 + 5 = 645

6, 6, 13, ?, 177, 893
  • a)
    33
  • b)
    43
  • c)
    38
  • d)
    24
  • e)
    44
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Finding the missing number in the sequence 6, 6, 13, ?, 177, 893.

The given sequence seems to be a bit tricky but we can identify a pattern in the numbers.

Identifying the pattern:

- The first two numbers are the same, so we can assume that the pattern starts from the third number.
- The difference between the third and fourth number is 7.
- The difference between the fourth and fifth number is unknown.
- The difference between the fifth and sixth number is 716.

From the above observations, we can conclude that the pattern is not a simple arithmetic progression. However, we can see that the difference between the fourth and fifth number is likely to be greater than 7 and less than 716.

Therefore, we need to look for a pattern in the differences between the consecutive terms.

- The difference between the first and second number is 0.
- The difference between the second and third number is 7.
- The difference between the third and fourth number is unknown.
- The difference between the fourth and fifth number is 716 - x, where x is the missing number.
- The difference between the fifth and sixth number is 716.

Now we need to find the missing number using the above pattern.

Calculating the missing number:

- The difference between the first and second number is 0.
- The difference between the second and third number is 7.
- The difference between the third and fourth number is 13 - 6 = 7.
- The difference between the fourth and fifth number is 716 - x.
- The difference between the fifth and sixth number is 716.

We can solve for x using the above equations:

7 + 7 + 716 - x = 716

Simplifying the above equation, we get:

x = 43

Therefore, the missing number in the sequence is 43.

Conclusion:

Hence, option B is the correct answer.

4, ?, 14, 40, 88, 170
  • a)
    9
  • b)
    5
  • c)
    6
  • d)
    7
  • e)
    2
Correct answer is option 'C'. Can you explain this answer?

Ravi Singh answered
4 + 1² + 1 = 6
6 + 3² – 1 = 14
14 + 5² + 1 = 40
40 + 7² – 1 = 88
88 + 9² + 1 = 170

6, 6, 7, ?, 91, 463
  • a)
    33
  • b)
    43
  • c)
    38
  • d)
    25
  • e)
    44
Correct answer is option 'D'. Can you explain this answer?

Aisha Gupta answered
Ans.

Option (d)

6*1 – 1 + 1 = 6
6*2 – 2 – 3 = 7
7*3 – 1 + 5 = 25
25*4 – 2 – 7 = 91
91*5 – 1 + 9 = 463

4, 6, 8, 30, 112, ?
  • a)
    540
  • b)
    580
  • c)
    550
  • d)
    590
  • e)
    570
Correct answer is option 'E'. Can you explain this answer?

Alok Verma answered
4 * 1 + 2 = 6
6 * 2 – 4 = 8
8 * 3 + 6 = 30
30 * 4 – 8 = 112
112 * 5 + 10 = 570

2, 9, 39, 161, ?, 2613
  • a)
    675
  • b)
    670
  • c)
    665
  • d)
    651
  • e)
    655
Correct answer is option 'D'. Can you explain this answer?

Yash Patel answered
2 * 4 + 1 = 9
9 * 4 + 3 = 39
39 * 4 + 5 = 161
161 * 4 + 7 = 651
651 * 4 + 9 = 2613

6, 8, 12, 42, 160, ?
  • a)
    870
  • b)
    840
  • c)
    850
  • d)
    810
  • e)
    820
Correct answer is option 'D'. Can you explain this answer?

Kalyan Nair answered
6 * 1 + 2 = 8
8 * 2 – 4 = 12
12 * 3 + 6 = 42
42 * 4 – 8 = 160
160 * 5 + 10 = 810

6, 4, 10, 14, 43, ?
  • a)
    119
  • b)
    127
  • c)
    114
  • d)
    141
  • e)
    132
Correct answer is option 'A'. Can you explain this answer?

Alok Verma answered
6 * 1 – 2 = 4
4 * 1.5 + 4 = 10
10 * 2 – 6 = 14
14 * 2.5 + 8 = 43
43 * 3 – 10 = 119

2, 5, 18, 49, 154, ?
  • a)
    475
  • b)
    470
  • c)
    465
  • d)
    453
  • e)
    455
Correct answer is option 'D'. Can you explain this answer?

Tejas Gupta answered
2 * 3 – 1 = 5
5 * 3 + 3 = 18
18 * 3 – 5 = 49
49 * 3 + 7 = 154
154 * 3 – 9 = 453

6, 6, 7, ?, 91, 463
  • a)
    33
  • b)
    43
  • c)
    38
  • d)
    25
  • e)
    44
Correct answer is option 'D'. Can you explain this answer?

Ravi Singh answered
6*1 – 1 + 1 = 6
6*2 – 2 – 3 = 7
7*3 – 1 + 5 = 25
25*4 – 2 – 7 = 91
91*5 – 1 + 9 = 463

1, 2, 6, 17, ?, 157.5
  • a)
    40.5
  • b)
    42.5
  • c)
    49.5
  • d)
    51.5
  • e)
    50.5
Correct answer is option 'C'. Can you explain this answer?

Yash Patel answered
1 * 1 + 1 = 2
2* 1.5 + 3 = 6
6 * 2 + 5 = 17
17 * 2.5 + 7 = 49.5
49.5 * 3 + 9 =157.5

4, ?, 16, 26, 60, 110
  • a)
    6
  • b)
    5
  • c)
    7
  • d)
    8
  • e)
    9
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Given sequence: 4, ?, 16, 26, 60, 110

To find the missing number in the sequence, we need to identify the pattern or rule that governs the sequence. Let's analyze the given numbers:

First difference:
The differences between consecutive terms are:
(?, 16-4, 26-16, 60-26, 110-60) = (?, 12, 10, 34, 50)

Second difference:
The differences between consecutive first differences are:
(12-?, 10-12, 34-10, 50-34) = (?, -2, 24, 16)

Third difference:
The differences between consecutive second differences are:
(-2-?, 24-(-2), 16-24) = (?, 26, -8)

Pattern:
From the analysis, we can observe that the second difference alternates between positive and negative values. This suggests that the sequence may involve alternating operations.

First Operation:
The first operation can be obtained by adding consecutive triangular numbers (1, 3, 6, 10, ...):
4 + 1 = 5
16 + 3 = 19
26 + 6 = 32
60 + 10 = 70
110 + 15 = 125

Second Operation:
The second operation can be obtained by subtracting consecutive square numbers (1, 4, 9, 16, ...):
5 - 1 = 4
19 - 4 = 15
32 - 9 = 23
70 - 16 = 54
125 - 25 = 100

Missing Number:
Based on the pattern, the missing number can be obtained by applying the two operations to the last given number:
100 + 1 = 101
101 - 4 = 97

Therefore, the missing number in the sequence is 97 (option A).

2, 7, 31, 119, 483, ?
  • a)
    1975
  • b)
    1970
  • c)
    1965
  • d)
    1923
  • e)
    1955
Correct answer is option 'D'. Can you explain this answer?

Mehul Nair answered
2 * 4 – 1 = 7
7 * 4 + 3 = 31
31 * 4 – 5 = 119
119 * 4 + 7 = 483
483 * 4 – 9 = 1923

5, 8, 15, 37, ?, 309.5
  • a)
    99.5
  • b)
    97.5
  • c)
    94.5
  • d)
    98.5
  • e)
    96.5
Correct answer is option 'A'. Can you explain this answer?

5 * 1 + 2 + 1 = 8
8 * 1.5 + 4 – 1 = 15
15 * 2 + 6 + 1 = 37
37 * 2.5 + 8 – 1 = 99.5
99.5 * 3 + 10 + 1 = 309.5

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