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How many whole numbers between 100 and 200 are divisible by 3?
- a)33
- b)34
- c)32
- d)31
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
How many whole numbers between 100 and 200 are divisible by 3?a)33b)34...
Whole numbers divisible by 3 between 100 and 200 are 102, 105, ..., 198. There are 34 such numbers.
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Most Upvoted Answer
How many whole numbers between 100 and 200 are divisible by 3?a)33b)34...
Explanation:
Finding the range of numbers:
To find the whole numbers between 100 and 200 that are divisible by 3, we need to determine the range of numbers first. The numbers between 100 and 200 can be represented as 101, 102, 103...199.
Determining the first number divisible by 3:
To find the first number divisible by 3 in this range, we divide 100 by 3. The quotient is 33 with a remainder of 1. So, the first number divisible by 3 is 102.
Determining the last number divisible by 3:
Next, we divide 200 by 3. The quotient is 66 with a remainder of 2. So, the last number divisible by 3 is 198.
Calculating the total number of multiples:
To calculate the total number of whole numbers between 100 and 200 that are divisible by 3, we subtract the first number divisible by 3 from the last number divisible by 3 and add 1 (to include both endpoints).
Total = (198 - 102) + 1 = 96 + 1 = 97
Therefore, there are 34 whole numbers between 100 and 200 that are divisible by 3. The correct answer is option 'A' (34).
Finding the range of numbers:
To find the whole numbers between 100 and 200 that are divisible by 3, we need to determine the range of numbers first. The numbers between 100 and 200 can be represented as 101, 102, 103...199.
Determining the first number divisible by 3:
To find the first number divisible by 3 in this range, we divide 100 by 3. The quotient is 33 with a remainder of 1. So, the first number divisible by 3 is 102.
Determining the last number divisible by 3:
Next, we divide 200 by 3. The quotient is 66 with a remainder of 2. So, the last number divisible by 3 is 198.
Calculating the total number of multiples:
To calculate the total number of whole numbers between 100 and 200 that are divisible by 3, we subtract the first number divisible by 3 from the last number divisible by 3 and add 1 (to include both endpoints).
Total = (198 - 102) + 1 = 96 + 1 = 97
Therefore, there are 34 whole numbers between 100 and 200 that are divisible by 3. The correct answer is option 'A' (34).
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How many whole numbers between 100 and 200 are divisible by 3?a)33b)34c)32d)31Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How many whole numbers between 100 and 200 are divisible by 3?a)33b)34c)32d)31Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many whole numbers between 100 and 200 are divisible by 3?a)33b)34c)32d)31Correct answer is option 'A'. Can you explain this answer?.
How many whole numbers between 100 and 200 are divisible by 3?a)33b)34c)32d)31Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How many whole numbers between 100 and 200 are divisible by 3?a)33b)34c)32d)31Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many whole numbers between 100 and 200 are divisible by 3?a)33b)34c)32d)31Correct answer is option 'A'. Can you explain this answer?.
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