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What is the resulting number when the digits at the tens and hundreds place are exchanged in the smallest 4-digit number formed using the digits 2, 0, 8, and 6?

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2068

2086

2608

2860

answer is C.

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Detailed Solution

Using the digits 2, 0, 8, and 6 the possible four-digit numbers are

2068	6028	8026
2086	6208	8206
2680	6280	8260
2608	6082	8062
2806	6802	8602
2860	6820	8620

The number with 0 at the thousands place cannot be considered a four-digit number.

Therefore the smallest 4-digit number formed using the digits 2, 0, 8, and 6 is 2068.

If we exchange the digits at the tens and hundreds places in 2068, we get the number 2608.

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