In the following question, four letter-number pairs are given. The letter-number on the left side of (–) is related to the letter-number on the right side of (–) with some Logic/Rule/Relation. Three pairs are similar on the basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
Show answer & explanation
Correct answer: D
Explanation
We are given four letter-number pairs. The left side (letters + number) is related to the right side (letters + number) using a certain logic or rule. Three pairs follow the same logic, and one does not. We need to find the odd one out.
Analyzing the Letter Pattern
Check the letter transformation for each pair:
1) AS16 → HZ324
A → H: +7 letters forward in the alphabet.
S → Z: +7 letters forward.
2) PI18 → RK400
P → R: +2 letters forward.
I → K: +2 letters forward.
3) UH20 → SF484
U → S: -2 letters backward.
H → F: -2 letters backward.
4) EW22 → DV676
E → D: -1 letter backward.
W → V: -1 letter backward.
It seems the letter shifts are not consistent across all options, so the main logic might be in the number transformation.
Analyzing the Number Pattern
Check how the numbers transform:
1) 16 → 324
(16+2)2=182=324
2) 18 → 400
(18+2)2 = 202 = 400
3) 20 → 484
(20+2)2=222= 484
4) 22 → 676
(22+2)2 = 242= 576
but here it is 676, which is (22+4)2=262=676
This does not match the pattern.
4) EW22 – DV676 is the odd one out.
Hence, the correct answer is option (4).