In a certain code language, ‘D’ is coded as ‘16’, ‘B’ is coded as ‘4’ and ‘T’ is coded as ‘400’. How will ‘H’ be coded in the same language?
- (a)36
- (b)64
- (c)25
- (d)8
Answer
Why
Correct — B. Read each code as a function of the letter's position in the alphabet.
D is the 4th letter and is coded 16 = 4².
B is the 2nd letter and is coded 4 = 2².
T is the 20th letter and is coded 400 = 20².
Rule: the code is the square of the letter's alphabet position.
H is the 8th letter, so its code is 8² = 64 → option (b).
Why the others are wrong
- (a)36 — 36 is 6², which would be the code for F. H stands at position 8, not 6.
- (c)25 — 25 is 5², which would be the code for E. H is the 8th letter, not the 5th.
- (d)8 — 8 is H's alphabet position left unsquared. Apply that reading to the given examples and B would be coded 2, not 4.
Concept
Letter-to-number codes are built on the alphabet position, and this question hands you three worked examples — enough to fix the operation rather than guess it.
The codes given are 16, 4 and 400 for D, B and T. Positions 4, 2 and 20 make the operation clear the moment you notice that all three codes are perfect squares.
Test a candidate rule against every example, not just the first. 'Position × 4' fits D, since 4 × 4 = 16, and dies immediately on B, where 2 × 4 = 8 rather than 4.
T = 400 is the useful example: doubling, adding a constant or multiplying by a small number cannot carry 20 to 400, while squaring does it exactly.
Key facts
- Alphabet positions: B=2, D=4, H=8, T=20.
- The codes given are 2² = 4, 4² = 16 and 20² = 400.
- H at position 8 gives 8² = 64.
Study next
Common traps
- Answering 8, which is H's alphabet position with the squaring step forgotten
- Testing the rule against only one of the three given codes
- Counting H as the 7th letter by starting the alphabet at zero
Coding also runs on 26 Sep 2024, 12:30 at Reasoning Q.2, where FUTURE becomes IXWXUH by shifting every letter three places, and at Q.25, where whole words carry the codes.
Related PYQs
No directly related past PYQ was found.