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In T. Nagar the building were numbered from 1 to 100.Then how many 6s will be present in the numbers?
- a)18
- b)19
- c)20
- d)21
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In T. Nagar the building were numbered from 1 to 100.Then how many 6s ...
Answer c)
In 60-69 there are 11- 6's (includes 66)
Now between 1-100 excluding 60-69
1- 6's in each of 9 set
So 9- 6's are here
Total= 11+9= 20
Most Upvoted Answer
In T. Nagar the building were numbered from 1 to 100.Then how many 6s ...
Solution:
To count the number of 6s in the numbers from 1 to 100 in T. Nagar, we need to consider each digit of the numbers separately.
1. Counting 6s in units place:
- There are 10 numbers from 1 to 10, out of which only one number (i.e., 6) has 6 in the units place.
- There are 10 numbers from 11 to 20, out of which only one number (i.e., 16) has 6 in the units place.
- Similarly, there will be one number with 6 in the units place in each set of 10 numbers (such as 26, 36, 46, 56, 66, 76, 86, and 96) until we reach 100.
Therefore, there are a total of 9 numbers with 6 in the units place.
2. Counting 6s in tens place:
- There are 10 numbers from 1 to 10, out of which none of the numbers have 6 in the tens place.
- There are 10 numbers from 11 to 20, out of which one number (i.e., 60) has 6 in the tens place.
- Similarly, there will be one number with 6 in the tens place in each set of 10 numbers (such as 16, 26, 36, 46, 56, 66, 76, 86, and 96) until we reach 100.
Therefore, there are a total of 9 numbers with 6 in the tens place.
3. Counting 6s in hundreds place:
- There is only one number (i.e., 60) with 6 in the hundreds place.
Therefore, there is only one number with 6 in the hundreds place.
Overall, we have counted 9 numbers with 6 in the units place, 9 numbers with 6 in the tens place, and 1 number with 6 in the hundreds place. Hence, the total number of 6s in the numbers from 1 to 100 in T. Nagar is:
9 + 9 + 1 = 19
Therefore, the correct answer is option (b) 19.
To count the number of 6s in the numbers from 1 to 100 in T. Nagar, we need to consider each digit of the numbers separately.
1. Counting 6s in units place:
- There are 10 numbers from 1 to 10, out of which only one number (i.e., 6) has 6 in the units place.
- There are 10 numbers from 11 to 20, out of which only one number (i.e., 16) has 6 in the units place.
- Similarly, there will be one number with 6 in the units place in each set of 10 numbers (such as 26, 36, 46, 56, 66, 76, 86, and 96) until we reach 100.
Therefore, there are a total of 9 numbers with 6 in the units place.
2. Counting 6s in tens place:
- There are 10 numbers from 1 to 10, out of which none of the numbers have 6 in the tens place.
- There are 10 numbers from 11 to 20, out of which one number (i.e., 60) has 6 in the tens place.
- Similarly, there will be one number with 6 in the tens place in each set of 10 numbers (such as 16, 26, 36, 46, 56, 66, 76, 86, and 96) until we reach 100.
Therefore, there are a total of 9 numbers with 6 in the tens place.
3. Counting 6s in hundreds place:
- There is only one number (i.e., 60) with 6 in the hundreds place.
Therefore, there is only one number with 6 in the hundreds place.
Overall, we have counted 9 numbers with 6 in the units place, 9 numbers with 6 in the tens place, and 1 number with 6 in the hundreds place. Hence, the total number of 6s in the numbers from 1 to 100 in T. Nagar is:
9 + 9 + 1 = 19
Therefore, the correct answer is option (b) 19.
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In T. Nagar the building were numbered from 1 to 100.Then how many 6s will be present in the numbers?a)18b)19c)20d)21Correct answer is option 'C'. Can you explain this answer?
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