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If all those numbers from 1-40 each of which is exactly divisible by 4 and/or has 4 as a digit in it are removed, how many numbers will remain?
- a)27
- b)29
- c)28
- d)26
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If all those numbers from 1-40 each of which is exactly divisible by 4...
Numbers exactly divisible by4 are table of 4 and 14 , 34 have 4 as a digit so the numbers which left are 40 _ 12 = 28.
Most Upvoted Answer
If all those numbers from 1-40 each of which is exactly divisible by 4...
Understanding the Problem
To solve the problem, we need to identify numbers from 1 to 40 that are either divisible by 4 or contain the digit 4. Once we remove these numbers, we can count how many remain.
Step 1: Identify Numbers Divisible by 4
Numbers divisible by 4 from 1 to 40 are:
- 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Total: 10 numbers
Step 2: Identify Numbers Containing the Digit 4
Numbers containing the digit 4 from 1 to 40 are:
- 4, 14, 24, 34
Total: 4 numbers
Step 3: Count Duplicates
Among the identified numbers, 4 and 24 appear in both groups. We need to ensure we only count them once.
Unique Numbers to Remove
Thus, the unique numbers to remove are:
- From divisibles by 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 (10 total)
- From containing digit 4: 14, 34 (2 new, since 4, 24 are already counted)
Combining these gives us:
- 4, 8, 12, 14, 16, 20, 24, 28, 32, 34, 36, 40
Total unique removals: 12
Step 4: Calculate Remaining Numbers
Total numbers from 1 to 40 = 40
Remaining numbers = 40 - 12 = 28
Conclusion
Therefore, after removing all numbers that are either divisible by 4 or contain the digit 4, 28 numbers remain. Thus, the correct answer is option 'C'.
To solve the problem, we need to identify numbers from 1 to 40 that are either divisible by 4 or contain the digit 4. Once we remove these numbers, we can count how many remain.
Step 1: Identify Numbers Divisible by 4
Numbers divisible by 4 from 1 to 40 are:
- 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Total: 10 numbers
Step 2: Identify Numbers Containing the Digit 4
Numbers containing the digit 4 from 1 to 40 are:
- 4, 14, 24, 34
Total: 4 numbers
Step 3: Count Duplicates
Among the identified numbers, 4 and 24 appear in both groups. We need to ensure we only count them once.
Unique Numbers to Remove
Thus, the unique numbers to remove are:
- From divisibles by 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 (10 total)
- From containing digit 4: 14, 34 (2 new, since 4, 24 are already counted)
Combining these gives us:
- 4, 8, 12, 14, 16, 20, 24, 28, 32, 34, 36, 40
Total unique removals: 12
Step 4: Calculate Remaining Numbers
Total numbers from 1 to 40 = 40
Remaining numbers = 40 - 12 = 28
Conclusion
Therefore, after removing all numbers that are either divisible by 4 or contain the digit 4, 28 numbers remain. Thus, the correct answer is option 'C'.
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If all those numbers from 1-40 each of which is exactly divisible by 4...
Numbers exactly divisible by 4 are table of 4 and 14 are 34 have 4 as a digit so the numbers which left are 40 -12 = 28.
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If all those numbers from 1-40 each of which is exactly divisible by 4 and/or has 4 as a digit in it are removed, how many numbers will remain?a)27b)29c)28d)26Correct answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If all those numbers from 1-40 each of which is exactly divisible by 4 and/or has 4 as a digit in it are removed, how many numbers will remain?a)27b)29c)28d)26Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If all those numbers from 1-40 each of which is exactly divisible by 4 and/or has 4 as a digit in it are removed, how many numbers will remain?a)27b)29c)28d)26Correct answer is option 'C'. Can you explain this answer?.
If all those numbers from 1-40 each of which is exactly divisible by 4 and/or has 4 as a digit in it are removed, how many numbers will remain?a)27b)29c)28d)26Correct answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If all those numbers from 1-40 each of which is exactly divisible by 4 and/or has 4 as a digit in it are removed, how many numbers will remain?a)27b)29c)28d)26Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If all those numbers from 1-40 each of which is exactly divisible by 4 and/or has 4 as a digit in it are removed, how many numbers will remain?a)27b)29c)28d)26Correct answer is option 'C'. Can you explain this answer?.
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