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Question

What is the smallest 3-digit number that can be formed (without repeating a digit) using the digits 5, 9 and 0 ?

A
59
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B
905
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C
590
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D
509
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Solution

The correct option is D 509
To find the smallest 3-digit number given 3 digits, we usually place the smallest digit at the hundreds place.
But, when 0 is placed at the hundreds place, the numbers possible are 059 and 095 (59 and 95), which are both 2-digit numbers.

Thus, we place the second smallest digit in the hundreds place.
Then, we place 0 in the tens place and finally, 9 in the ones place.

Thus, 509 is the smallest 3-digit number that can be formed from the digits 5, 9 and 0.

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