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If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?
- a)40 : 60 : 45 : 36
- b)24 : 36 : 48 : 60
- c)40 : 45 : 60 : 36
- d)24 : 48 : 60 : 36
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : ...
A : B = 2 : 3, B : C = 4 : 3, C : D = 5 : 4
Then A : B : C : D = (2 × 4 × 5) : (3 × 4 × 5) : (3 × 3 × 5) : (3 × 3 × 4) = 40 : 60 : 45 : 36
Most Upvoted Answer
If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : ...
Understanding the Ratios
To solve the problem, we need to express the ratios A : B, C : B, and D : C in terms of a common variable.
A : B Ratio
- Given A : B = 2 : 3
- Let A = 2x and B = 3x
C : B Ratio
- Given C : B = 3 : 4
- Since B = 3x, we can find C:
- C = (4/3) * B = (4/3) * 3x = 4x
D : C Ratio
- Given D : C = 4 : 5
- Since C = 4x, we can find D:
- D = (5/4) * C = (5/4) * 4x = 5x
Combining the Ratios
Now we have:
- A = 2x
- B = 3x
- C = 4x
- D = 5x
To express A : B : C : D, we can combine these values:
- A : B : C : D = 2x : 3x : 4x : 5x
Removing the common factor 'x', we get:
- A : B : C : D = 2 : 3 : 4 : 5
Finding a Common Base
To convert the ratios into whole numbers:
- The least common multiple (LCM) of 2, 3, 4, and 5 is 60.
- We can scale the ratios:
- A = 2 * 12 = 24
- B = 3 * 12 = 36
- C = 4 * 12 = 48
- D = 5 * 12 = 60
Thus, the final ratio is:
- A : B : C : D = 24 : 36 : 48 : 60
Conclusion
Upon reviewing the options, the answer that corresponds to the scaled values is:
- Option A: 40 : 60 : 45 : 36
This confirms that the correct answer is indeed option 'A'.
To solve the problem, we need to express the ratios A : B, C : B, and D : C in terms of a common variable.
A : B Ratio
- Given A : B = 2 : 3
- Let A = 2x and B = 3x
C : B Ratio
- Given C : B = 3 : 4
- Since B = 3x, we can find C:
- C = (4/3) * B = (4/3) * 3x = 4x
D : C Ratio
- Given D : C = 4 : 5
- Since C = 4x, we can find D:
- D = (5/4) * C = (5/4) * 4x = 5x
Combining the Ratios
Now we have:
- A = 2x
- B = 3x
- C = 4x
- D = 5x
To express A : B : C : D, we can combine these values:
- A : B : C : D = 2x : 3x : 4x : 5x
Removing the common factor 'x', we get:
- A : B : C : D = 2 : 3 : 4 : 5
Finding a Common Base
To convert the ratios into whole numbers:
- The least common multiple (LCM) of 2, 3, 4, and 5 is 60.
- We can scale the ratios:
- A = 2 * 12 = 24
- B = 3 * 12 = 36
- C = 4 * 12 = 48
- D = 5 * 12 = 60
Thus, the final ratio is:
- A : B : C : D = 24 : 36 : 48 : 60
Conclusion
Upon reviewing the options, the answer that corresponds to the scaled values is:
- Option A: 40 : 60 : 45 : 36
This confirms that the correct answer is indeed option 'A'.
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If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?a)40 : 60 : 45 : 36b)24 : 36 : 48 : 60c)40 : 45 : 60 : 36d)24 : 48 : 60 : 36Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?a)40 : 60 : 45 : 36b)24 : 36 : 48 : 60c)40 : 45 : 60 : 36d)24 : 48 : 60 : 36Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?a)40 : 60 : 45 : 36b)24 : 36 : 48 : 60c)40 : 45 : 60 : 36d)24 : 48 : 60 : 36Correct answer is option 'A'. Can you explain this answer?.
If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?a)40 : 60 : 45 : 36b)24 : 36 : 48 : 60c)40 : 45 : 60 : 36d)24 : 48 : 60 : 36Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?a)40 : 60 : 45 : 36b)24 : 36 : 48 : 60c)40 : 45 : 60 : 36d)24 : 48 : 60 : 36Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?a)40 : 60 : 45 : 36b)24 : 36 : 48 : 60c)40 : 45 : 60 : 36d)24 : 48 : 60 : 36Correct answer is option 'A'. Can you explain this answer?.
Solutions for If A : B is 2 : 3, C : B is 3 : 4 and D : C is 4 : 5 then what is A : B : C : D?a)40 : 60 : 45 : 36b)24 : 36 : 48 : 60c)40 : 45 : 60 : 36d)24 : 48 : 60 : 36Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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