Let A, B and C represent distinct non-zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition. Consider the following statements : 1. The 4-digit least value of x is 1332. 2. The 3-digit greatest value of x is 888. Which of the above statements is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 1 only

Option(1) is correct.

The minimum possible value of three distinct non-zero digits (A, B, C) is 1,2,3.

All possible 3-digit numbers formed by A, B, and C without repetition are 123, 132, 213, 231, 312, and 321.

So, x = 123 + 132 + 213 + 231 + 312 + 321 = 1332.

So the least value of x is 1332.

Statement 1: The 4-digit least value of x is 1332: Correct.

Statement 2: The 3-digit greatest value of x is 888: False, as the least value of x is 1332.

Hence, the correct answer is an option(1) i.e., 1 only.

4 views Answered 2022-09-04 04:29

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