In each of the following questions, a word is transformed into a combination of letters and numbers following a specific pattern. Analyze the transformation used in the first pair and apply the same rule to find the missing term in the second pair. BOAT : C40U :: JUMP : ?

Correct — A.
Rule: first letter +1, last letter +1, the middle two letters become a number.

BOAT: B+1 = C, T+1 = U → C _ U
JUMP: J+1 = K, P+1 = Q → K _ Q

(a) is the one option ending in Q, so the letters settle it → option (a).

The number agrees: O + A = 15 + 1 = 16 gave 40.
U + M = 21 + 13 = 34, which is 18 more.
40 + 18 = 58, as option (a) prints.

Why the others are wrong

• (b)
  K76P — Its last letter is P, JUMP's own last letter left unchanged. BOAT's T moved one place to U, so P must move one place to Q.
• (c)
  K95T — Its last letter T is P moved four places. BOAT's T moved just one place, to U, so JUMP's P must end as Q.
• (d)
  K52E — Its last letter E is not P moved one place forward. BOAT's code ends in U, the letter after T, so JUMP's code must end in Q.

In a mixed letter-and-number code, work on each position separately. Solve the letter slots first: they are quick, and they can settle the answer before any arithmetic.

Here the outer letters move +1 (B → C, T → U). The middle pair O, A becomes a number, and alphabet positions (A = 1 … Z = 26) are the natural first test for it.

Key facts

• Alphabet positions: O = 15, A = 1, U = 21, M = 13.
• BOAT → C40U moves the first and last letters one place forward: B → C, T → U.
• Under the same +1 step, J → K and P → Q.

Common traps

• Working on the number before the letters, which already leave one option
• Trusting a number rule because it fits BOAT, without checking what it gives for JUMP

No directly related past PYQ was found.