A question was asked in a mental ability test (which ended on Saturday).
Can you solve it?
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My guess is that it is:
an L. If you take the first letter at the top, append the middle string "age", and combine it with the last letter on the bottom string, you get words, and L is the only letter which fits.
Bagel Pager Lager Cagey Waged Eager Rages
I went with the first thing that made numbers fit together:
The top triangle is three letters wide. The bottom triangle is five letters wide. You can align the top triangle so that it "funnels" three letters into one of the ones in age, and the top triangle so that it funnels five.
Assign each letter of the alphabet a number, from 1 to 26. Now place both triangles with the pointy end pointing towards A. That is B+P+L on the top and S+R+D+Y+R. This adds up to 5 and 6 (modulo 26). 6 - 5 = 1 = A.
Repeat for G. The letters above add up to 12, and the letters below add to 5. 12 - 5 = 7 = G.
Solve for E. It adds up to: 5 on top, and 18 + ? on the bottom. Caveat: there are two solutions to this approach: M and W (so that the operations are either 5-0 or 10-5). Which is pretty cool IMO and seems better than coincidence, but I can't come up with a way to choose one over the other. Which probably dooms my answer.