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Which of the following is the smallest four-digit number formed using the numbers 3, 4, 0 and 5 exactly once?
- a)0345
- b)3045
- c)3054
- d)3405
Correct answer is option 'B'. Can you explain this answer?
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Which of the following is the smallest four-digit number formed using ...
Using the numbers 3, 4, 0 and 5 exactly once, we get 3045 as the smallest number.
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Which of the following is the smallest four-digit number formed using ...
Solution:
To find the smallest four-digit number using the given numbers (3, 4, 0, and 5), we need to determine the smallest possible digit for each place value.
Step 1: Determine the thousands place digit
Since the smallest digit among the given numbers is 0, it should be placed in the thousands place. Therefore, the number cannot start with 3 or 4.
Step 2: Determine the hundreds place digit
Now, we need to find the smallest digit among the remaining numbers. The smallest digit is 3, so it should be placed in the hundreds place.
Step 3: Determine the tens place digit
The remaining two digits are 4 and 5. To make the number as small as possible, we should place the smaller digit, 4, in the tens place.
Step 4: Determine the ones place digit
Finally, the remaining digit, 5, should be placed in the ones place.
Therefore, the smallest four-digit number formed using the numbers 3, 4, 0, and 5 exactly once is 3045.
Answer: Option B (3045)
To find the smallest four-digit number using the given numbers (3, 4, 0, and 5), we need to determine the smallest possible digit for each place value.
Step 1: Determine the thousands place digit
Since the smallest digit among the given numbers is 0, it should be placed in the thousands place. Therefore, the number cannot start with 3 or 4.
Step 2: Determine the hundreds place digit
Now, we need to find the smallest digit among the remaining numbers. The smallest digit is 3, so it should be placed in the hundreds place.
Step 3: Determine the tens place digit
The remaining two digits are 4 and 5. To make the number as small as possible, we should place the smaller digit, 4, in the tens place.
Step 4: Determine the ones place digit
Finally, the remaining digit, 5, should be placed in the ones place.
Therefore, the smallest four-digit number formed using the numbers 3, 4, 0, and 5 exactly once is 3045.
Answer: Option B (3045)
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Which of the following is the smallest four-digit number formed using ...
3045
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Which of the following is the smallest four-digit number formed using the numbers 3, 4, 0 and 5 exactly once?a)0345b)3045c)3054d)3405Correct answer is option 'B'. Can you explain this answer?
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