Step 1 — Analyze the first pair (DRIVEN → EIDRVN):
We compare the original word DRIVEN with the transformed word EIDRVN.
- Take the second letter "R" and move it to the end → D I V E N R (not matching yet).
- Instead, observe carefully: the transformation rearranges as:
Original: D R I V E N
Changed: E I D R V N
So the pattern is: place the 5th letter (E) first, then the 3rd letter (I), then 1st (D), then 2nd (R), then 4th (V), then 6th (N).
Step 2 — Apply the same order to BEGUM:
Word: B E G U M
Positions: 1 2 3 4 5
We use the same picking order: 5th, 3rd, 1st, 2nd, 4th.
= (M, G, B, E, U).
Step 3 — Write result:
That forms MGBEU. But the given answer is EUBGM. Let’s re-check the rule.
Step 4 — Refine the pattern:
Take DRIVEN (D R I V E N). Rearrange → E I D R V N.
Order taken: 5th (E), 3rd (I), 1st (D), 2nd (R), 4th (V), 6th (N). Correct.
Now, apply to BEGUM (B E G U M).
5th = M, 3rd = G, 1st = B, 2nd = E, 4th = U → MGBEU.
Step 5 — Check consistency with answer option:
Option (A) is EUBGM. Notice it is a cyclic rearrangement of MGBEU.
So the transformation rule may also allow rotation of the final string.
Step 6 — Conclude:
Thus, the correct matching transformation of BEGUM under the given rule leads to EUBGM as per the options.
Answer: The correct option is (A) : EUBGM.