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Question

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)

This question was previously asked in
SSC CHSL 2025 Tier 1 Question Paper (21-Nov-2025) (Shift 1)
The correct answer is

BM290 − DP155

In each pair the number on the right should be exactly half of the number on the left, while the two letters shift forward by a fixed amount.

XR432 → ZU216: \(432 \div 2 = 216\), and the letters move X→Z (+2) and R→U (+3).

FN504 → HQ252: \(504 \div 2 = 252\), with F→H (+2) and N→Q (+3), the same pattern.

TC386 → VF193: \(386 \div 2 = 193\), with T→V (+2) and C→F (+3), again matching.

BM290 → DP155: the letters do follow B→D (+2) and M→P (+3), but the number fails because \(290 \div 2 = 145\), not 155.

Since three pairs halve correctly and only this one does not, it is the pair that breaks the common rule.

Hence the odd one out is BM290 − DP155.

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