Find out the missing (?) number and letter.
![Screenshot 2025-04-10 at 2.35.06 AM.png](https://res.cloudinary.com/aptidude/image/upload/v1744232721/aptidude_questions/fhhjqx1ousm0lssmgvdz.png)

Question

Find out the missing (?) number and letter.  
![Screenshot 2025-04-10 at 2.35.06 AM.png](https://res.cloudinary.com/aptidude/image/upload/v1744232721/aptidude_questions/fhhjqx1ousm0lssmgvdz.png)

Accepted Answer

To solve this problem, I need to identify both the arithmetic pattern for the numbers and the sequential pattern for the letters in the grid.

For the numbers:
If we arrange all the numbers in ascending order: 5, 8, 13, 20, 31, 44, [?], 80
I can find the differences between consecutive numbers:
- 8 - 5 = 3
- 13 - 8 = 5
- 20 - 13 = 7
- 31 - 20 = 11
- 44 - 31 = 13
- [?] - 44 = ?
- 80 - [?] = ?

These differences form a sequence of prime numbers: 3, 5, 7, 11, 13...
The next prime numbers would be 17 and 19.
Therefore: [?] - 44 = 17, giving [?] = 61
And 80 - 61 = 19, confirming the pattern.

For the letters:
The letters in the grid (A, C, C, E, F, G, I) show a pattern where several letters follow odd-numbered positions in the alphabet:
A (1st), C (3rd), E (5th), G (7th), I (9th)
The missing letter would be the 11th letter in the alphabet, which is K.

Therefore, the missing values are 61 and K.

Answer

Answer

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