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What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?
- a)148
- b)153
- c)173
- d)163
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What is the smallest number which when increased by 17 is exactly divi...
LCM of 12, 15, and 18 is 180. The number is 180k - 17. Smallest such k = 1, 180 - 17 = 163.
Community Answer
What is the smallest number which when increased by 17 is exactly divi...
Smallest Number Divisible by 12, 15, and 18
- To find the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18, we need to look for the least common multiple (LCM) of 12, 15, and 18.
- The LCM of 12, 15, and 18 is 180.
Calculating the Smallest Number
- Let the smallest number be x.
- According to the question, when x is increased by 17, it becomes divisible by 12, 15, and 18.
- So, x + 17 should be a multiple of 180.
- We can express this as x + 17 = 180k, where k is a positive integer.
- To find the smallest x, we can start from k = 1 and calculate the corresponding x.
- When k = 1, x = 163. This means the smallest number that satisfies the given conditions is 163.
Therefore, the correct answer is option 'D' - 163.
- To find the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18, we need to look for the least common multiple (LCM) of 12, 15, and 18.
- The LCM of 12, 15, and 18 is 180.
Calculating the Smallest Number
- Let the smallest number be x.
- According to the question, when x is increased by 17, it becomes divisible by 12, 15, and 18.
- So, x + 17 should be a multiple of 180.
- We can express this as x + 17 = 180k, where k is a positive integer.
- To find the smallest x, we can start from k = 1 and calculate the corresponding x.
- When k = 1, x = 163. This means the smallest number that satisfies the given conditions is 163.
Therefore, the correct answer is option 'D' - 163.
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What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?a)148b)153c)173d)163Correct answer is option 'D'. Can you explain this answer?
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What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?a)148b)153c)173d)163Correct answer is option 'D'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?a)148b)153c)173d)163Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?a)148b)153c)173d)163Correct answer is option 'D'. Can you explain this answer?.
What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?a)148b)153c)173d)163Correct answer is option 'D'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?a)148b)153c)173d)163Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the smallest number which when increased by 17 is exactly divisible by 12, 15, and 18?a)148b)153c)173d)163Correct answer is option 'D'. Can you explain this answer?.
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