Which one will replace the question mark ?
2023
Which one will replace the question mark ?

- A.
6
- B.
7
- C.
8
- D.
9
Attempted by 3 students.
Show answer & explanation
Correct answer: B
Concept:
In this cross-figure number series, the four corner numbers combine by a fixed rule to give the center number. Testing the two complete figures shows the rule: the center equals half the sum of the four corner numbers. Once confirmed, the same rule applies to the incomplete figure to find the missing corner.
Application:
First figure: corners are 10, 9, 7, 14. Sum = 10 + 9 + 7 + 14 = 40. Half of 40 = 20, which matches the given center value of 20.
Second figure: corners are 11, 16, 13, 10. Sum = 11 + 16 + 13 + 10 = 50. Half of 50 = 25, which matches the given center value of 25 — confirming the rule holds across figures.
Third figure: corners are 15, ?, 10, 12, with center 22. So the corner sum must be 2 × 22 = 44. The three known corners add to 15 + 10 + 12 = 37, so the missing corner is 44 − 37 = 7.
Cross-check:
Substituting 7 back: corners 15, 7, 10, 12 sum to 44, and half of 44 is 22 — exactly the given center. The value 7 is confirmed.