UPSC Exam > UPSC Questions > There are two consecutive number such that th...
Start Learning for Free
There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13?
Most Upvoted Answer
There are two consecutive number such that the difference of the recip...
Consecutive Numbers with Reciprocal Difference
To solve this problem, we need to find two consecutive numbers whose reciprocals have a difference of 1/240.
Let the numbers be x and x+1
Given that the difference of their reciprocals is 1/240, we can set up the following equation:
1/x - 1/(x+1) = 1/240
Find a common denominator
To simplify the equation, we need to find a common denominator for the fractions on the left side. The common denominator in this case would be x(x+1).
Solve the equation
After finding a common denominator, we can rewrite the equation as follows:
(x+1 - x) / (x(x+1)) = 1/240
1 / (x(x+1)) = 1/240
Cross multiplying, we get:
x(x+1) = 240
Find the consecutive numbers
By solving the above equation, we get:
x^2 + x - 240 = 0
(x+16)(x-15) = 0
Therefore, the consecutive numbers are 15 and 16 (option A).
Conclusion
Thus, the two consecutive numbers whose reciprocals have a difference of 1/240 are 15 and 16.
To solve this problem, we need to find two consecutive numbers whose reciprocals have a difference of 1/240.
Let the numbers be x and x+1
Given that the difference of their reciprocals is 1/240, we can set up the following equation:
1/x - 1/(x+1) = 1/240
Find a common denominator
To simplify the equation, we need to find a common denominator for the fractions on the left side. The common denominator in this case would be x(x+1).
Solve the equation
After finding a common denominator, we can rewrite the equation as follows:
(x+1 - x) / (x(x+1)) = 1/240
1 / (x(x+1)) = 1/240
Cross multiplying, we get:
x(x+1) = 240
Find the consecutive numbers
By solving the above equation, we get:
x^2 + x - 240 = 0
(x+16)(x-15) = 0
Therefore, the consecutive numbers are 15 and 16 (option A).
Conclusion
Thus, the two consecutive numbers whose reciprocals have a difference of 1/240 are 15 and 16.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13?
Question Description
There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13?.
There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13?.
Solutions for There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? defined & explained in the simplest way possible. Besides giving the explanation of
There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13?, a detailed solution for There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? has been provided alongside types of There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? theory, EduRev gives you an
ample number of questions to practice There are two consecutive number such that the difference of the reciprocalci is one by 240 the numbers are option A 15 16 option to 17 option C 13 option d 12 13? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup