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All questions of Number Series for Bank 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?

Naroj Boda 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

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

6, 8, 8, 22, ?, 151
  • a)
    43
  • b)
    42
  • c)
    44
  • d)
    47
  • e)
    48
Correct answer is option 'D'. Can you explain this answer?

6 * 1 + 2 = 8
8 * 1.5 – 4 = 8
8 * 2 + 6 = 22
22 * 2.5 – 8 = 47
47 * 3 + 10 = 151

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?

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

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

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

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

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?

Naroj Boda 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.

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?

Divey Sethi 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

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.

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?

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

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?

Faizan Khan answered
5 * 1 + 2 = 7
7 * 2 – 4 = 10
10 * 3 + 6 = 36
36 * 4 – 8 = 136
136 * 5 + 10 = 690

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?

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

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

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

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

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?

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

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

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

3, ?, 12, 18, 44, 78
  • a)
    4
  • b)
    5
  • c)
    7
  • d)
    8
  • e)
    9
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
This question belongs to the Quant category and involves finding the missing number in a series. Let's analyze the given series:

3, ?, 12, 18, 44, 78

To find the missing number, we need to identify the pattern or rule followed in the series. There are multiple ways to approach this problem, so let's explore a couple of possible patterns:

1. Adding a constant value:
If we observe the difference between consecutive terms, we have:

? - 3 = x1
12 - ? = x2
18 - 12 = x3
44 - 18 = x4
78 - 44 = x5

Looking at the differences, we notice that they are not constant. Therefore, the series does not follow a simple addition pattern with a constant value.

2. Multiplying by a constant value:
Let's consider the ratio between consecutive terms:

? / 3 = y1
12 / ? = y2
18 / 12 = y3
44 / 18 = y4
78 / 44 = y5

Again, looking at the ratios, we can see that they are not constant. Therefore, the series does not follow a simple multiplication pattern with a constant value.

3. Combination of addition and multiplication:
Let's try considering a combination of addition and multiplication patterns. Looking at the series, we can notice that the terms seem to be increasing at an increasing rate. In other words, the differences between consecutive terms are themselves increasing.

Based on this observation, we can try a pattern where we multiply the term number by a constant value and then add another constant value:

Term 1: 3 * 1 + 1 = 4
Term 2: 3 * 2 + 1 = 7
Term 3: 3 * 3 + 1 = 10
Term 4: 3 * 4 + 1 = 13
Term 5: 3 * 5 + 1 = 16

Unfortunately, this pattern does not match the given series, as the resulting terms do not match the actual series.

Considering these analyses, it appears that the given series does not follow a simple and straightforward pattern. It is possible that the series follows a more complex or obscure pattern, or there may be an error or inconsistency in the series.

Therefore, without any further information or clarification, it is not possible to determine the missing number with certainty.

4, 5, 9, 20, ?, 160.5
  • a)
    52.5
  • b)
    47.5
  • c)
    67.5
  • d)
    37.5
  • e)
    27.5
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Pattern Analysis:
To find the missing number in the given sequence, we need to identify the pattern or rule that governs the progression of the numbers. Let's analyze the given sequence:

4, 5, 9, 20, ?, 160.5

First Difference:
The difference between consecutive terms in the sequence is as follows:

5 - 4 = 1
9 - 5 = 4
20 - 9 = 11
? - 20
160.5 - ?

Second Difference:
Now, let's calculate the difference between consecutive differences:

4 - 1 = 3
11 - 4 = 7
? - 11
? - 7

Pattern Identification:
By observing the differences, we can notice the following pattern:

First Difference:
1, 4, 11

Second Difference:
3, 7

If we analyze the first differences, we can observe that each number is incrementing by a consecutive odd number (1, 3, 5, 7, ...). Similarly, the second differences increment by 4, which is the next even number after 3.

Applying the Pattern:
Based on the pattern identified, we can calculate the missing term in the sequence:

20 + 11 = 31
31 + 5 = 36

Therefore, the missing number in the sequence is 36. Let's verify if it fits in the sequence:

4, 5, 9, 20, 36, 160.5

Conclusion:
The missing number in the given sequence is 36, which corresponds to option 'A' (52.5).

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