In the following question, a pair of letters is given, followed by its corresponding product of alphabetical positions (A = 1, B = 2, ..., Z = 26). A second pair of letters is given without its product. Identify the correct product for the second pair that maintains the same relationship as the first. B×D : 2×4 :: G×J : ?

Correct — B.
Rule: write each letter as its alphabet position, keeping the × between them.

First pair: B = 2, D = 4 → 2×4.
Second pair: G = 7, J = 10 → 7×10 → option (b).

Why the others are wrong

• (a)
  6×11 — 6×11 is F×K, one letter outside G and J on each side. G is the 7th letter, not the 6th.
• (c)
  8×9 — 8×9 is H×I, the two letters between G and J. The positions of G and J themselves are 7 and 10.
• (d)
  5×12 — 5×12 is E×L, two letters outside G and J on each side. J is the 10th letter, not the 12th.

The relation is letter → alphabet position, and the answer keeps the first pair's form: two positions joined by ×, not the product worked out.

Anchor positions save counting from A. E = 5, J = 10, O = 15, T = 20, so G is two after E (7) and J is 10 outright.

Key facts

• G is the 7th letter and J the 10th.
• Anchor positions: E = 5, J = 10, O = 15, T = 20, Z = 26.
• All four options sum to 17, so only the separate positions tell them apart.

Common traps

• Checking only that the two numbers add to 17, which every option does
• Miscounting G as the 6th or 8th letter without an anchor

No directly related past PYQ was found.