Class 10 Exam > Class 10 Questions > If the HCF of 65 and 117 is expressible in th...
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If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ is
- a)4
- b)1
- c)3
- d)2
Correct answer is 'D'. Can you explain this answer?
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Verified Answer
If the HCF of 65 and 117 is expressible in the form 65m – 117, t...
First of all find the HCF of 65 and 117,
117 = 1×65 + 52
65 = 1× 52 + 13
52 = 4 ×13 + 0
∴ HCF of 65 and 117 is 13.
65m - 117 = 13
65m = 117+13 = 130
∴m =130/65 = 2
Most Upvoted Answer
If the HCF of 65 and 117 is expressible in the form 65m – 117, t...
Ya option (D) is correct...... Prime factorization of 65 and 11765 = 5×13 117=3×3×13 H.C.F = 13 65m-117= 13 65m=13+117 65m= 130 m=130/65 m=2 .............ans
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Community Answer
If the HCF of 65 and 117 is expressible in the form 65m – 117, t...
Explanation:
Given:
HCF of 65 and 117 is expressible in the form 65m + 117
Step 1: Finding the HCF of 65 and 117
To find the HCF of 65 and 117, we can use the Euclidean algorithm:
117 = 65 * 1 + 52
65 = 52 * 1 + 13
52 = 13 * 4 + 0
Therefore, the HCF of 65 and 117 is 13.
Step 2: Expressing the HCF in the given form
Since the HCF is 13, we need to express it in the form 65m + 117:
13 = 65m + 117
13 = 65m + 117
-104 = 65m
m = -104/65
m = -2
Conclusion:
Therefore, the value of m is 2, so the correct answer is option 'D'.
Given:
HCF of 65 and 117 is expressible in the form 65m + 117
Step 1: Finding the HCF of 65 and 117
To find the HCF of 65 and 117, we can use the Euclidean algorithm:
117 = 65 * 1 + 52
65 = 52 * 1 + 13
52 = 13 * 4 + 0
Therefore, the HCF of 65 and 117 is 13.
Step 2: Expressing the HCF in the given form
Since the HCF is 13, we need to express it in the form 65m + 117:
13 = 65m + 117
13 = 65m + 117
-104 = 65m
m = -104/65
m = -2
Conclusion:
Therefore, the value of m is 2, so the correct answer is option 'D'.
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If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ isa)4b)1c)3d)2Correct answer is 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ isa)4b)1c)3d)2Correct answer is 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ isa)4b)1c)3d)2Correct answer is 'D'. Can you explain this answer?.
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ isa)4b)1c)3d)2Correct answer is 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ isa)4b)1c)3d)2Correct answer is 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ isa)4b)1c)3d)2Correct answer is 'D'. Can you explain this answer?.
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