Which of the following three-digit numbers will be second largest among them…
2022
Which of the following three-digit numbers will be second largest among them when 2 is subtracted from the middle digit of each number and the positions of the first and third digits are interchanged?
Answer: D. 368 — Key steps: For each three-digit number subtract 2 from the middle digit, then interchange the first and third digits. Original 853 → middle digit 5 − 2 = 3 →…
- A.
853
- B.
572
- C.
489
- D.
368
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Correct answer: D
Key steps: For each three-digit number subtract 2 from the middle digit, then interchange the first and third digits.
Original 853 → middle digit 5 − 2 = 3 → digits become 8,3,3 → after swapping first and third → 3,3,8 = 338.
Original 572 → middle digit 7 − 2 = 5 → digits become 5,5,2 → after swapping first and third → 2,5,5 = 255.
Original 489 → middle digit 8 − 2 = 6 → digits become 4,6,9 → after swapping first and third → 9,6,4 = 964.
Original 368 → middle digit 6 − 2 = 4 → digits become 3,4,8 → after swapping first and third → 8,4,3 = 843.
Transformed numbers in descending order:
964 (from original 489)
843 (from original 368) — second largest
338 (from original 853)
255 (from original 572)
Answer: The second largest transformed number is 843, which corresponds to the original number 368.
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