In a certain code language, 'VAIN' is written as 'OKBY’ and 'VAST' is written as 'UUBY'. How will 'VERB’ be written in that language?
- (a)CTFY
- (b)CTYF
- (c)CFYT
- (d)CFTY
Answer
Why
Correct — A. Rule: reverse the word, then shift its four letters by +1, +2, +1, +3.
VAIN reversed is N, I, A, V.
N+1 = O, I+2 = K, A+1 = B, V+3 = Y → OKBY
VAST reversed is T, S, A, V.
T+1 = U, S+2 = U, A+1 = B, V+3 = Y → UUBY
VERB reversed is B, R, E, V.
B+1 = C, R+2 = T, E+1 = F, V+3 = Y → CTFY, option (a).
Why the others are wrong
- (b)CTYF — CTYF has the first two letters right and then swaps the last pair. The shifts are fixed by position: the third slot of the reversed word is E (+1 gives F) and the fourth is V (+3 gives Y), so F must come before Y.
- (c)CFYT — CFYT carries the four correct letters in the wrong order. Putting F second means the second slot was filled from E, but after reversing, the second letter of VERB is R, which takes +2 to give T.
- (d)CFTY — CFTY also puts F second. F is E+1, and E is the third letter of the reversed word BREV, not the second. Slot two belongs to R.
Concept
All four options here are the same four letters — C, F, T and Y — in different orders. The shifting is not what is being tested; the order is.
Decode by comparing what is fixed. VAIN and VAST share V and A in their first two slots, and both codes end in BY. A shared prefix surfacing as a shared suffix is the signature of a reversal.
With the reversal spotted, line the reversed word against the code letter by letter and read off the gaps: +1, +2, +1, +3.
Because every option is an anagram of the right answer, a candidate who computes the four letters and stops has done most of the work and is still left with a one-in-four guess.
Key facts
- VAIN codes to OKBY and VAST to UUBY, and both codes end in BY because both words begin with V and A.
- The rule is reverse the word, then shift the letters by +1, +2, +1, +3.
- VERB reversed is BREV, which shifts to CTFY.
Study next
Common traps
- Computing the four shifted letters correctly and then writing them in the word's original order
- Missing the reversal because both sample codes end in BY, which reads like an added suffix
- Assuming one uniform shift when the gaps differ by position
SSC gives two solved words and asks for a third. Where the options are anagrams of one another, the rule usually contains a rearrangement step, so settle the order before you settle the letters.
The 9 Sep 2024, 12:30 paper tests a different coding family at Reasoning Q.6, where whole words rather than letters are coded.
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