If in a code A=26, B=25, ..., Z=1, what is the code for CAT?
- (a)24, 26, 7
- (b)24, 26, 6
- (c)25, 26, 7
- (d)24, 27, 7
Answer
Why
Correct — A.
Rule: code = 27 − position (A = 26 down to Z = 1).
C is the 3rd letter: 27 − 3 = 24
A is the 1st letter: 27 − 1 = 26
T is the 20th letter: 27 − 20 = 7
CAT → 24, 26, 7 → option (a).
Why the others are wrong
- (b)24, 26, 6 — 6 is the code for U, the 21st letter. T is the 20th, so its code is 27 − 20 = 7. C and A are coded correctly here, which is what makes it tempting.
- (c)25, 26, 7 — 25 is the code for B, not C. C is the 3rd letter, so its code is 27 − 3 = 24. The codes for A and T are right.
- (d)24, 27, 7 — 27 is outside this code, which runs from Z = 1 up to A = 26. The question itself sets A = 26, so the middle number must be 26.
Concept
A reverse-alphabet code numbers the letters from Z instead of from A. The shortcut is 27 − position, because a letter's forward and reverse positions always add to 27: A is 1 and 26, M is 13 and 14, Z is 26 and 1.
So you never need to write the reversed alphabet out. Learn a few anchor positions, E = 5, J = 10, O = 15, T = 20, and subtract from 27.
Reading the code the ordinary way (A = 1) gives 3, 1, 20, which none of the options shows. The question's A = 26 is the signal that the count runs backwards.
Key facts
- A letter's forward and reverse positions add up to 27.
- Anchor positions: E = 5, J = 10, O = 15, T = 20.
- Under this reverse code, C = 24, A = 26 and T = 7.
Study next
Common traps
- Counting T as the 21st letter and writing 6
- Slipping back into the forward code, C = 3, A = 1, T = 20
Here SSC states the reverse code and asks you to apply it to a three-letter word.
14 Sep 2025, 09:00, Reasoning Q.12 uses the same 27 − position idea inside a letter analogy: DINS : WRMH swaps each letter for its opposite (D = 4 ↔ W = 23), and EKPT is keyed as VPKG.
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