If 'READ' is coded as T2@3, and 'DEAR' is coded as 3@2T, then what is the code for 'DARE'?
- (a)3@T2
- (b)T@23
- (c)@32T
- (d)@32Y
Answer
Why
Correct — A.
Rule: read each letter's symbol from READ = T2@3.
READ → R = T, E = 2, A = @, D = 3
DARE = D A R E
= 3 @ T 2 = 3@T2 → option (a).
Why the others are wrong
- (b)T@23 — T@23 starts with T, which is R's symbol. DARE starts with D, and D's symbol is 3 in both example codes.
- (c)@32T — @32T starts with @. DARE's first letter is D, and D = 3 in both READ = T2@3 and DEAR = 3@2T.
- (d)@32Y — @32Y contains Y, a symbol in neither example code. Every symbol must come from T, 2, @ and 3, and the code must open with D's 3.
Concept
A letter-to-symbol code gives each letter one fixed symbol. DARE uses the same four letters as READ, so it needs no new symbol, only a new order.
Write DARE's letters in turn and replace each with its symbol: D, A, R, E becomes 3, @, T, 2.
R and D are coded the same way in both examples (R = T, D = 3), which already fixes the first and third places of DARE's code.
The two examples disagree on E and A. READ = T2@3 gives E = 2 and A = @, but DEAR = 3@2T gives E = @ and A = 2.
DEAR's code is READ's code written backwards, although DEAR is not READ backwards (that would be DAER). Coding DARE with DEAR's symbols gives 32T@, which no option prints. READ's symbols give 3@T2, the keyed option.
Key facts
- From READ = T2@3: R = T, E = 2, A = @, D = 3.
- R = T and D = 3 hold in both example codes.
- DARE under READ's symbols reads 3@T2.
Study next
Common traps
- Matching on symbols alone: options (a), (b) and (c) all use exactly T, 2, @ and 3, so only the order separates them
- Taking E and A from DEAR's code, which gives 32T@, a code none of the options prints
12 Sep 2025, 16:00, Reasoning Q.17 sets the same frame with examples that agree: SAVE is ★3#5 and VASE is #3★5, so EVAS is keyed 5#3★.
Related PYQs
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