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Housing board built 100 flats. A painteris engaged to serially number each flatindividually from 1 to 100. How manytimes will he be required to write zero.
- a)9
- b)11
- c)10
- d)12
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Housing board built 100 flats. A painteris engaged to serially number ...
Clearly, the digit with zero are as
follows-
10, 20, 30, 40, 50, 60, 70, 80,
90,100
So, the number of zeroes are 11.
follows-
10, 20, 30, 40, 50, 60, 70, 80,
90,100
So, the number of zeroes are 11.
Most Upvoted Answer
Housing board built 100 flats. A painteris engaged to serially number ...
To find out how many times the painter will be required to write zero while serially numbering the flats from 1 to 100, we need to analyze the numbers from 1 to 100 and count the occurrence of zero.
Analysis:
The numbers from 1 to 100 can be divided into the following categories:
1. Single-digit numbers (1-9): These numbers do not contain zero, so the painter does not need to write zero for these numbers.
2. Two-digit numbers (10-99): These numbers can be further divided into two categories:
a) Numbers with zero in the units place (10, 20, 30, ..., 90): There are 10 such numbers, and the painter needs to write zero once for each of these numbers.
b) Numbers without zero in the units place (11, 12, 13, ..., 19, 21, 22, ..., 99): These numbers do not contain zero, so the painter does not need to write zero for these numbers.
3. Three-digit number (100): This number contains two zeros, and the painter needs to write zero twice for this number.
Calculation:
To calculate the total number of times the painter will be required to write zero, we add up the occurrences of zero in each category:
Occurrences of zero in category 2a: 10
Occurrences of zero in category 3: 2
Total occurrences of zero: 10 + 2 = 12
Therefore, the painter will be required to write zero 12 times while serially numbering the flats from 1 to 100.
Answer: d) 12
Analysis:
The numbers from 1 to 100 can be divided into the following categories:
1. Single-digit numbers (1-9): These numbers do not contain zero, so the painter does not need to write zero for these numbers.
2. Two-digit numbers (10-99): These numbers can be further divided into two categories:
a) Numbers with zero in the units place (10, 20, 30, ..., 90): There are 10 such numbers, and the painter needs to write zero once for each of these numbers.
b) Numbers without zero in the units place (11, 12, 13, ..., 19, 21, 22, ..., 99): These numbers do not contain zero, so the painter does not need to write zero for these numbers.
3. Three-digit number (100): This number contains two zeros, and the painter needs to write zero twice for this number.
Calculation:
To calculate the total number of times the painter will be required to write zero, we add up the occurrences of zero in each category:
Occurrences of zero in category 2a: 10
Occurrences of zero in category 3: 2
Total occurrences of zero: 10 + 2 = 12
Therefore, the painter will be required to write zero 12 times while serially numbering the flats from 1 to 100.
Answer: d) 12
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Housing board built 100 flats. A painteris engaged to serially number ...
B
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Housing board built 100 flats. A painteris engaged to serially number each flatindividually from 1 to 100. How manytimes will he be required to write zero.a)9b)11c)10d)12Correct answer is option 'B'. Can you explain this answer?
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