In the following question, the second word is related to the first word by a specific pattern of letter transformation. Identify the same pattern and apply it to the third word to find the correct option that completes the analogy. TIME : VJOG :: WORD : ?

Correct — A. Compare TIME and VJOG column by column. The four letters do not all move the same distance.

Rule: +2, +1, +2, +2 on the first, second, third and fourth letters.

TIME → VJOG: T+2=V, I+1=J, M+2=O, E+2=G.

W(23) + 2 = Y
O(15) + 1 = P
R(18) + 2 = T
D(4) + 2 = F

That spells YPTF, option (a).

Why the others are wrong

• (b)
  YQTG — Q moves O forward two places where the second letter moves only one (I → J), and G is D + 3 where the last letter moves two. Two positions break the rule.
• (c)
  YPSF — Y, P and F are right, but S is R + 1. The third letter moves two places in the sample (M → O), so R must become T, not S.
• (d)
  ZPSF — Z is W + 3 and S is R + 1. The sample moves the first and third letters two places each, so the answer must begin with Y and carry T third.

A letter-transformation analogy hides its rule in the column differences. Write each letter's position (A = 1 to Z = 26) above both words and subtract, one column at a time.

If every difference is equal, the rule is a constant shift. If not, as here, each position keeps its own step, and you apply that list, in order, to the new word.

Checking the first letter alone suggests +2 everywhere. That gives YQTF, which is not among the options, and is the signal to recheck the second column.

Key facts

• T → V, M → O and E → G are each +2, while I → J is +1.
• Alphabet positions: W = 23, O = 15, R = 18, D = 4.
• A uniform +2 on WORD gives YQTF, which is not offered.

Common traps

• Reading the step from the first letter and applying +2 to all four.
• Giving the third letter +1 as well as the second, which produces YPSF.

No directly related past PYQ was found.