In a certain code language, 'GLOBAL' is written as '221714272817', 'FOREST' is written as '23141124109', how will 'IMPACT' be written in that language?
- (a)20161328269
- (b)18141126247
- (c)20161226259
- (d)20161327259
Answer
Why
Correct — A. Rule: each letter is replaced by 29 minus its alphabet position.
Test it on GLOBAL:
G(7) → 22, L(12) → 17, O(15) → 14, B(2) → 27, A(1) → 28, L(12) → 17 = 221714272817.
FOREST agrees:
F(6) → 23, O(15) → 14, R(18) → 11, E(5) → 24, S(19) → 10, T(20) → 9 = 23141124109.
IMPACT:
I(9) → 20, M(13) → 16, P(16) → 13, A(1) → 28, C(3) → 26, T(20) → 9 = 20161328269, option (a).
Why the others are wrong
- (b)18141126247 — 18141126247 is the plain reverse alphabet, 27 minus the position: I → 18, M → 14, P → 11, A → 26, C → 24, T → 7. Every value lands two short of what GLOBAL and FOREST actually use.
- (c)20161226259 — 20161226259 reads I → 20 and M → 16 correctly and then drifts. P comes out 12 instead of 13, A comes out 26 instead of 28, and C comes out 25 instead of 26.
- (d)20161327259 — The near miss. I, M, P and T are right, but A reads 27 and C reads 25 — those follow from 28 minus the position, while GLOBAL fixes the constant at 29, since A is coded 28.
Concept
A letters-to-numbers code is settled by one constant once you spot the direction. This one runs backwards through the alphabet, so early letters carry big numbers: A is 28 and Z is 3.
The tidy check is that a letter's position and its code always add to 29. G sits at 7, its code is 22, and 7 + 22 = 29.
That gives you a one-letter test. Decode the A in GLOBAL, see 28, and the scheme is fixed without walking the alphabet for every letter in the answer options.
The code string has no separators, so the split matters as much as the arithmetic. Codes above 9 take two digits and codes below 10 take one, which is why GLOBAL runs to 12 digits and FOREST to 11.
Key facts
- A letter's alphabet position plus its code equals 29 here, so A is 28 and Z is 3.
- GLOBAL codes as 22-17-14-27-28-17, all two-digit values, giving a 12-digit string.
- IMPACT codes as 20-16-13-28-26-9, printed without separators as 20161328269.
Study next
Common traps
- Stopping at the plain reverse alphabet and forgetting the constant, which produces option (b).
- Checking only the first two letters, where options (a), (c) and (d) all agree.
- Mis-splitting the digit string once a single-digit code such as 9 appears.
SSC dresses the letters-to-numbers idea differently from paper to paper.
At 12 Sep 2024, 16:00, Reasoning Q.7 the word is reversed first and then written as plain alphabet positions, so MUTUAL becomes 12121202113.
Alphabet-position work also drives Reasoning Q.14 and Q.23 of the 13 Sep 2024, 12:30 paper.
Related PYQs
No directly related past PYQ was found.