Hard Number Series MCQ Questions And Answers

Series: 2, 5, 10, 17, 26, ...

Step 1: Starting with 2, we can observe that the numbers are increasing by consecutive odd numbers: 3, 5, 7, 9, ...

Step 2: Add the consecutive odd numbers to the previous number to get the next number in the series.

    2 + 3 = 5
    5 + 5 = 10
    10 + 7 = 17
    17 + 9 = 26

Step 3: Continuing this pattern, we need to add the next odd number, which is 11, to the last number in the series (26):

    26 + 11 = 37

So, the next number in the series is 37.

In summary, the series is formed by incrementing the previous number with consecutive odd numbers: 3, 5, 7, 9, 11, and so on. The next number in the series is obtained by adding 11 to the last number in the series (26), resulting in 37.

The series seems to be composed of perfect squares. Each number in the series is the square of a consecutive integer:

16 = 4^2
25 = 5^2
36 = 6^2
49 = 7^2 (missing number)
64 = 8^2
81 = 9^2
100 = 10^2

So, the missing number is 49, which is 7^2.

The given series seems to be a sequence of perfect squares, decreasing by one each time:

144 = 12^2
121 = 11^2
100 = 10^2
81 = 9^2
64 = 8^2

Following this pattern, the next number in the series would be:

49 = 7^2

The given sequence is a geometric sequence where each term is obtained by multiplying the previous term by decreasing multiples of 5.

Starting with 2:
2 * 6 = 12 (next term)
12 * 5 = 60 (next term)
60 * 4 = 240 (next term)

So, the correct pattern is multiplication by decreasing multiples of 5. Therefore, the next number in the sequence would be:

240 * 3 = 720

I apologize for the misunderstanding. Thank you for clarifying. The pattern can be simplified as follows:

Starting with 5, each term is generated by multiplying the previous term by 2 and then adding an increasing number:

5 * 2 + 2 = 12
12 * 2 + 3 = 27
27 * 2 + 4 = 58
58 * 2 + 5 = 121

Following this pattern:

121 * 2 + 6 = 248

So, the missing number is 248.

The given series does not follow a simple arithmetic or geometric pattern. However, it seems like the differences between consecutive terms are increasing, suggesting a second-degree polynomial or quadratic sequence.

Let's calculate the differences between consecutive terms:

15 - 8 = 7
29 - 15 = 14
50 - 29 = 21

The differences themselves appear to be increasing by 7 each time.

If we continue this pattern:

21 + 7 = 28 (next difference)
50 + 28 = 78 (next term)

So, the next number in the series might be 78.

To determine the pattern in the given sequence, let's look at the differences between consecutive terms:

18 - 12 = 6
30 - 18 = 12
48 - 30 = 18

We can observe that the differences between consecutive terms are increasing by 6 each time. Therefore, it's likely that the next difference would be 18 + 6 = 24.

Adding this difference to the last term in the sequence:

48 + 24 = 72

So, the missing number in the sequence is 72.

The given sequence seems to follow a pattern of increasing consecutive odd numbers:

4 + 7 = 11
11 + 11 = 22
22 + 15 = 37

Following this pattern, the next odd number to add would be 15 + 4 = 19.

Adding 19 to 37:

37 + 19 = 56

So, the next term in the sequence should be 56.

Starting with 3:
3 * 2 + 1 = 7
7 * 2 + 1 = 15
15 * 2 + 1 = 31

Continuing this pattern:
31 * 2 + 1 = 63

So, using the pattern of multiplying by 2 and adding 1, the missing number in the sequence is 63.

The given sequence appears to be based on the cubes of consecutive positive integers:

2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125

Following this pattern, the next number in the sequence would be:

6^3 = 216

So, the next number in the sequence should be 216.