SSC JE Exam > SSC JE Questions > 101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथ...
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101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?
- a)13
- b)14
- c)15
- d)16
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित है...
Question: 101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?
Solution:
To solve this question, we need to find the numbers between 101 and 300 which are completely divisible by 3 and 5.
Step 1: Finding the smallest number between 101 and 300 which is completely divisible by 3 and 5.
The smallest number between 101 and 300 which is completely divisible by 3 and 5 is 105.
Step 2: Finding the largest number between 101 and 300 which is completely divisible by 3 and 5.
The largest number between 101 and 300 which is completely divisible by 3 and 5 is 300.
Step 3: Finding the total number of numbers between 101 and 300 which are completely divisible by 3 and 5.
To find the total number of numbers between 101 and 300 which are completely divisible by 3 and 5, we need to count the numbers in the sequence 105, 110, 115, ..., 300.
We can find the count of this sequence by using the formula:
Count = (Last term - First term) / Common difference + 1
Here, the first term is 105, the last term is 300, and the common difference is 5.
So, Count = (300 - 105) / 5 + 1 = 39
Therefore, there are 39 numbers between 101 and 300 which are completely divisible by 3 and 5.
Step 4: Finding the numbers between 101 and 300 which are completely divisible by 3 and 5.
To find the numbers between 101 and 300 which are completely divisible by 3 and 5, we can list the numbers in the sequence 105, 110, 115, ..., 300.
By listing these numbers, we get:
105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295
Therefore, there are 13 numbers between 101 and 300 which are completely divisible by 3 and 5.
Hence, the correct answer is option (a) 13.
Solution:
To solve this question, we need to find the numbers between 101 and 300 which are completely divisible by 3 and 5.
Step 1: Finding the smallest number between 101 and 300 which is completely divisible by 3 and 5.
The smallest number between 101 and 300 which is completely divisible by 3 and 5 is 105.
Step 2: Finding the largest number between 101 and 300 which is completely divisible by 3 and 5.
The largest number between 101 and 300 which is completely divisible by 3 and 5 is 300.
Step 3: Finding the total number of numbers between 101 and 300 which are completely divisible by 3 and 5.
To find the total number of numbers between 101 and 300 which are completely divisible by 3 and 5, we need to count the numbers in the sequence 105, 110, 115, ..., 300.
We can find the count of this sequence by using the formula:
Count = (Last term - First term) / Common difference + 1
Here, the first term is 105, the last term is 300, and the common difference is 5.
So, Count = (300 - 105) / 5 + 1 = 39
Therefore, there are 39 numbers between 101 and 300 which are completely divisible by 3 and 5.
Step 4: Finding the numbers between 101 and 300 which are completely divisible by 3 and 5.
To find the numbers between 101 and 300 which are completely divisible by 3 and 5, we can list the numbers in the sequence 105, 110, 115, ..., 300.
By listing these numbers, we get:
105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295
Therefore, there are 13 numbers between 101 and 300 which are completely divisible by 3 and 5.
Hence, the correct answer is option (a) 13.
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101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित है...
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101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?a)13 b)14c)15 d)16Correct answer is option 'A'. Can you explain this answer?
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101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?a)13 b)14c)15 d)16Correct answer is option 'A'. Can you explain this answer? for SSC JE 2025 is part of SSC JE preparation. The Question and answers have been prepared according to the SSC JE exam syllabus. Information about 101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?a)13 b)14c)15 d)16Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC JE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?a)13 b)14c)15 d)16Correct answer is option 'A'. Can you explain this answer?.
101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?a)13 b)14c)15 d)16Correct answer is option 'A'. Can you explain this answer? for SSC JE 2025 is part of SSC JE preparation. The Question and answers have been prepared according to the SSC JE exam syllabus. Information about 101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?a)13 b)14c)15 d)16Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC JE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 101 तथा 300 के बीच कितनी संख्याएँ हैं जो 3 तथा 5 से पूर्णतः विभाजित हैं?a)13 b)14c)15 d)16Correct answer is option 'A'. Can you explain this answer?.
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