In a certain code language, ‘CYCLE’ is coded as ‘242241522’ and ‘FINAL’ is coded as ‘2118132615’. How will ‘MUSIC’ be coded in that language?
- (a)14681824
- (b)1421191824
- (c)146191824
- (d)146192184
Answer
Why
Correct — A.
Rule: replace each letter by 27 minus its alphabet position, then write the values one after another.
CYCLE: C(3)→24, Y(25)→2, C(3)→24, L(12)→15, E(5)→22, giving 24 2 24 15 22 = 242241522.
FINAL: F(6)→21, I(9)→18, N(14)→13, A(1)→26, L(12)→15, giving 21 18 13 26 15 = 2118132615.
MUSIC: M(13)→14, U(21)→6, S(19)→8, I(9)→18, C(3)→24.
Strung together that is 14 6 8 18 24 = 14681824, which is option (a).
Why the others are wrong
- (b)1421191824 — 1421191824 reads 14-21-19-18-24. U and S have been given their forward positions 21 and 19 instead of the reverse values 6 and 8.
- (c)146191824 — 146191824 reads 14-6-19-18-24. Only S slips here: it is written as 19, its forward position, where the reverse value is 8.
- (d)146192184 — 146192184 keeps M=14 and U=6, then breaks. After S the digits 2184 cannot be split into values for I and C that are either their forward or their reverse positions.
Concept
Reverse-alphabet coding replaces a letter by the one an equal distance from the other end of the alphabet. In numbers, position p becomes 27 minus p, because A(1) pairs with Z(26) and every such pair sums to 27.
The giveaway is a code whose digits run against the letters. C is the third letter but is coded 24, so the count is coming from the back.
Learn four anchor pairs — A and Z, B and Y, C and X, M and N — and every other value is a short step from one of them.
The values are concatenated with no separator, so a single-digit value such as 6 or 8 shortens the string. That is why the wrong options differ in length as well as in content.
Key facts
- Reverse position equals 27 minus the forward position, since A pairs with Z.
- In this code CYCLE gives 24-2-24-15-22, printed without separators as 242241522.
- MUSIC gives 14-6-8-18-24, printed as 14681824.
- The repeated C in CYCLE takes the same value 24 both times, which confirms the mapping is letter-based.
Study next
Common traps
- Reading the code as forward positions because 14 for M sits close to M's own position of 13.
- Splitting the digit string in the wrong places once single-digit values appear.
Two coded words are given and a third is wanted, so the rule has to survive both checks before you use it. Alphabet-position arithmetic also drives Reasoning Q.7 and Q.21 in this shift.
Related PYQs
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