Which one will replace the question mark of the given diagram above?
2023

Which one will replace the question mark of the given diagram above?
- A.
45
- B.
8
- C.
38
- D.
48
Attempted by 223 students.
Show answer & explanation
Correct answer: C
The correct answer is 38.
Rule: in each figure, the number in the centre equals the sum of the four outer numbers, minus 2. That is, Centre = (sum of the four corners) − 2.
Figure 1: corners are 0, 6, 2 and 4. Sum = 0 + 6 + 2 + 4 = 12, and 12 − 2 = 10, which is the centre value shown.
Figure 2: corners are 6, 2, 8 and 10. Sum = 6 + 2 + 8 + 10 = 26, and 26 − 2 = 24, which is the centre value shown.
Figure 3: corners are 4, 14, 10 and 12. Sum = 4 + 14 + 10 + 12 = 40, so the missing centre value is 40 − 2 = 38.
Therefore the question mark is replaced by 38.