Explanation

Mean = Sum of all numbers / Total count of numbers  

Given data: 14, 24, ____, 18, 30  

Total numbers = 5  

Mean = 23  

So, Sum of all numbers = Mean × Total count = 23 × 5 = 115  

Let the missing number be x  

14 + 24 + x + 18 + 30 = 115  

86 + x = 115  

x = 115 - 86  

x = 29

Last verified on 24-08-2026

Explanation

Series pattern is =6+9+12+15

6+6=12 is missing 

Explanation

Each handshake involves 2 people.

Formula for handshakes = n_(n-1) / 2

Where n = number of people

Here n = 12

Handshakes = 12 _ (12-1) / 2

Handshakes = 12 * 11 / 2

Handshakes = 132 / 2

Handshakes = 66

Last verified on 03-08-2026

Explanation

Pattern: n _ (n+1) _ (n+1)

1st term: 1 _ 2 _ 1 = 2  

2nd term: 2 _ 3 _ 2 = 12  

3rd term: 3 _ 4 _ 3 = 36  

4th term: 4 _ 5 _ 4 = 80  

5th term: 5 _ 6 _ 5 = 150  

6th term: 6 _ 7 _ 6 = 252  

Last verified on 02-08-2026

Explanation

The series is:

2×1^2+4×2^2+6×3^2+⋯

The 10th term is:

2n×n2^=2n^3

For $n=10$:

2(10)^3

$$=2\times 1000$$

=2000

Last updated 26-07-2026 by NA
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Explanation

The pattern alternates between +2 and ×2:

• 4 → 6 (+2)
• 6 → 12 (×2)
• 12 → 14 (+2)
• 14 → 28 (×2)
• 28 → 30 (+2)
• 30 → 60 (×2)

Last updated 17 july 2026 by NA

Explanation

Check the difference between terms:  

9 - 5 = 4  

17 - 9 = 8  

The difference is doubling: +4, +8  

Next difference should be +16

So: 17 + 16 = 33

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Explanation

Look at the differences or the formula:

2 = 2 × 1² = 2  

8 = 2 × 2² = 8  

18 = 2 × 3² = 18  

32 = 2 × 4² = 32  

50 = 2 × 5² = 50  

72 = 2 × 6² = 72  

So the next term = 2 × 7² = 2 × 49 = 98.

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Explanation

Check the pattern:

1 = 1³  

8 = 2³  

27 = 3³  

65 = ?  

4³ = 64, not 65  

So 1, 8, 27 are perfect cubes. 65 does not fit.

Last verified on 28-07-2026

Explanation

2 = 1³ + 1 = 1 + 1  

9 = 2³ + 1 = 8 + 1  

28 = 3³ + 1 = 27 + 1  

65 = 4³ + 1 = 64 + 1  

Next term = 5³ + 1 = 125 + 1 = 126

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