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HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X?
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HCF of (9000,X)=60; where X is a natural number less than 9000 find th...
Analysis:
To find the number of possible values of X, we need to understand the concept of the highest common factor (HCF). The HCF of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the HCF of 9000 and X is 60.
Determination of Possible Values of X:
- The HCF of 9000 and X is 60.
- Since 60 is a factor of 9000, X must also be divisible by 60.
- Therefore, X can take any value that is a multiple of 60 and less than 9000.
- The possible values of X are all the natural numbers that are less than 9000 and divisible by 60.
Calculation:
- To find the number of possible values of X, we need to calculate how many multiples of 60 are less than 9000.
- The multiples of 60 less than 9000 are 60, 120, 180, ..., 8940.
- Dividing 9000 by 60 gives us 150. So, there are 150 possible values of X that satisfy the given conditions.
Conclusion:
In conclusion, there are 150 possible values of X that are natural numbers less than 9000 and satisfy the condition that the HCF of 9000 and X is 60.
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HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X?
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HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X?.
HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HCF of (9000,X)=60; where X is a natural number less than 9000 find the number of possible values of X?.
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