Select the related number from the given alternatives. 84 : 32 :: 67 : ?

Concept

In a number analogy A : B :: C : ?, the same rule that converts A into B must be applied to C to find the missing term. Here, the second number in each pair is the product of the two digits of the first (two-digit) number.

Application

1. For the first pair, 84 has digits 8 and 4, and 8 × 4 = 32, which matches the given second term.

2. Applying the same digit-multiplication rule to 67, whose digits are 6 and 7, gives 6 × 7 = 42.

Cross-check

Since 42 is exactly the product of 67's own digits (6 and 7) — the same operation that turned 84 into 32 — the analogy holds consistently, and none of the other listed values equal 6 × 7.

Hence, the correct answer is 42.