SSC CGL Exam > SSC CGL Questions > If 1/4, 1/x, 1/10 are in HP, then what is the...
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If 1/4, 1/x, 1/10 are in HP, then what is the value of x?
- a)5
- b)6
- c)7
- d)8
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8C...
Concept:
If a, b, c are in HP then 
If a, b, c are in AP then 2b = a + c
A sequence of numbers is called a Harmonic progression if the reciprocal of the terms are in AP.
Calculation:
Given: 1 / 4, 1 / x, 1 / 10 are in HP
The sequence 1 / 4, 1 / x, 1 / 10 are in HP, so its reciprocals 4, x, 10 are in AP.
As we know, If a, b, c are in AP then 2b = a + c
⇒ 2x = 4 + 10
⇒ 2x = 14
∴ x = 7
Most Upvoted Answer
If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8C...
Given:
1/4, 1/x, 1/10 are in Harmonic Progression (HP)
To find:
The value of x
Solution:
Harmonic Progression (HP):
In a Harmonic Progression (HP), the reciprocals of the terms are in Arithmetic Progression (AP).
Given terms:
1/4, 1/x, 1/10
Reciprocals of the given terms:
4/1, x/1, 10/1
As per the concept of HP:
2 * (1/x) = (1/4) + (1/10)
Solving the equation:
2/x = (10 + 4) / 40
2/x = 14 / 40
x = 40 / 14
x = 20 / 7
x = 7
Therefore, the value of x is 7.
Hence, the correct answer is option C) 7.
1/4, 1/x, 1/10 are in Harmonic Progression (HP)
To find:
The value of x
Solution:
Harmonic Progression (HP):
In a Harmonic Progression (HP), the reciprocals of the terms are in Arithmetic Progression (AP).
Given terms:
1/4, 1/x, 1/10
Reciprocals of the given terms:
4/1, x/1, 10/1
As per the concept of HP:
2 * (1/x) = (1/4) + (1/10)
Solving the equation:
2/x = (10 + 4) / 40
2/x = 14 / 40
x = 40 / 14
x = 20 / 7
x = 7
Therefore, the value of x is 7.
Hence, the correct answer is option C) 7.
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If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?.
If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1/4, 1/x, 1/10 are in HP, then what is the value of x?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?.
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