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UPSC Prelims

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CSAT 2024

Q48 2024, CSAT 2024

If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A?

यदि दो-अंकीय संख्याओं AB और CD का योगफल तीन-अंकीय संख्या 1CE है, जहाँ अक्षर A, B, C, D, E भिन्न अंकों को द्योतित करते हैं, तो A का मान क्या है?

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adding A to C is C itself. It means either A in zero, or there is some Carry forward of the B+D.
The maximum carry forward of B+D Could be 1. (even if bh B&D are 9 and 9, i. e. B+D = 18)
A can not be zero, else AB will not be a two digit number.
Hence, there is only one possibility.
A +C +1 = C,
means A = 9.

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