If MASTER is coded as NBTUFS, how is NBTUFS coded?
- (a)OCUVGT
- (b)OCVTGT
- (c)OBTVGT
- (d)OBTVFS
Answer
Why
Correct — A.
Rule: every letter moves one place forward (+1).
MASTER → NBTUFS: M→N, A→B, S→T, T→U, E→F, R→S
Apply +1 to NBTUFS:
N→O, B→C, T→U
U→V, F→G, S→T
Code: OCUVGT → option (a).
Why the others are wrong
- (b)OCVTGT — The middle reads VT, but T + 1 = U and U + 1 = V, so the third and fourth letters must be UV.
- (c)OBTVGT — B and T are left unshifted. The rule moves every letter, so B becomes C and T becomes U.
- (d)OBTVFS — Only N and U are shifted. B, T, F and S stay as printed, while the rule moves every letter one place.
Concept
A uniform shift code adds the same number to every letter's position. Find the step from one pair (M 13 → N 14 is +1), confirm it on another (R 18 → S 19), then apply it.
Coding the code applies that step a second time. MASTER → NBTUFS → OCUVGT is +2 in total from the original word.
Key facts
- M(13) → N(14): the code adds 1 to each letter's position.
- NBTUFS moved +1 letter by letter is OCUVGT.
- Two +1 codings in a row equal one +2 coding: MASTER → OCUVGT.
Study next
Common traps
- Decoding (−1) instead of coding (+1), which returns MASTER
- Checking the first letter and assuming the rest
14 Sep 2025, 12:30, Reasoning Q.11 prints the +2 code outright, MASTER : OCUVGT :: LABOUR : ?, keyed a, NCDQWT.
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