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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...
Analysis:
To find the number of possible values of X, we need to consider the factors of 60 and see how many of these factors are less than 9000.
Factors of 60:
- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Calculations:
Let's analyze each factor to see if it is a valid value for X:
- If X = 1, HCF(9000, 1) = 1 ≠ 60
- If X = 2, HCF(9000, 2) = 2 ≠ 60
- If X = 3, HCF(9000, 3) = 3 ≠ 60
- If X = 4, HCF(9000, 4) = 4 ≠ 60
- If X = 5, HCF(9000, 5) = 5 ≠ 60
- If X = 6, HCF(9000, 6) = 6 ≠ 60
- If X = 10, HCF(9000, 10) = 10 ≠ 60
- If X = 12, HCF(9000, 12) = 12 ≠ 60
- If X = 15, HCF(9000, 15) = 15 ≠ 60
- If X = 20, HCF(9000, 20) = 20 ≠ 60
- If X = 30, HCF(9000, 30) = 30 ≠ 60
- If X = 60, HCF(9000, 60) = 60 = 60
Conclusion:
There is only one possible value of X that satisfies the given condition, which is X = 60. Therefore, there is only 1 possible value of X that meets the criteria.
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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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