Discussion
What number should replace the question mark shown below?
Three cross-shaped figures, each with a top, left, centre, right and bottom cell:
first: top 4, left 5, centre 2, right 1, bottom 6;
second: top 9, left 7, centre 3, right 2, bottom 6;
third: top 19, left 13, centre ?, right 5, bottom 11.
Answer: B
The missing number is 6.
In each cross the four outer numbers add up to 8 times the centre:
- First: 4 + 5 + 1 + 6 = 16 = 8 × 2
- Second: 9 + 7 + 2 + 6 = 24 = 8 × 3
- Third: 19 + 13 + 5 + 11 = 48 = 8 × 6
So the centre of the third cross is 48/8 = 6. The other options would need outer totals of 32, 64 or 80.
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