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HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?
- a)1/56
- b)7/96
- c)1/96
- d)1/8
- e)8/56
Correct answer is option 'B'. Can you explain this answer?
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HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Th...
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HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Th...
Given:
HCF = 8
LCM = 96
Sum of numbers = 56
To find:
Sum of reciprocals of the numbers
Solution:
Let the two numbers be a and b.
We know that HCF × LCM = a × b
=> 8 × 96 = a × b
=> ab = 768
Also, we know that a + b = 56
We need to find (1/a) + (1/b)
=> (a+b)/ab
Substituting the values we get,
=> (56)/(ab)
=> (56)/(768)
=> 7/96
Therefore, sum of reciprocals of the numbers = 7/96
Hence, option B is the correct answer.
HCF = 8
LCM = 96
Sum of numbers = 56
To find:
Sum of reciprocals of the numbers
Solution:
Let the two numbers be a and b.
We know that HCF × LCM = a × b
=> 8 × 96 = a × b
=> ab = 768
Also, we know that a + b = 56
We need to find (1/a) + (1/b)
=> (a+b)/ab
Substituting the values we get,
=> (56)/(ab)
=> (56)/(768)
=> 7/96
Therefore, sum of reciprocals of the numbers = 7/96
Hence, option B is the correct answer.
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HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?a)1/56b)7/96c)1/96d)1/8e)8/56Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?a)1/56b)7/96c)1/96d)1/8e)8/56Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?a)1/56b)7/96c)1/96d)1/8e)8/56Correct answer is option 'B'. Can you explain this answer?.
HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?a)1/56b)7/96c)1/96d)1/8e)8/56Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?a)1/56b)7/96c)1/96d)1/8e)8/56Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?a)1/56b)7/96c)1/96d)1/8e)8/56Correct answer is option 'B'. Can you explain this answer?.
Solutions for HCF and LCM of two numbers is 8 and 96. Sum of those numbers is 56. Then what is sum of their reciprocals?a)1/56b)7/96c)1/96d)1/8e)8/56Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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