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If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?
- a)24 ∶ 36 ∶ 39 ∶ 32
- b)24 ∶ 32 ∶ 36 ∶ 39
- c)21 ∶ 32 ∶ 36 ∶ 39
- d)24 ∶ 32 ∶ 30 ∶ 39
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ ...
Given that
A ∶ B = 3 ∶ 4 = 3 × 8 × 12 ∶ 4 × 8 × 12
B ∶ C = 8 ∶ 9 = 8 × 4 × 12 ∶ 9 × 4 × 12
C ∶ D = 12 ∶ 13 = 12 × 4 × 9 ∶ 13 × 4 × 9
So, A ∶ B ∶ C ∶ D = 3 × 8 × 12 ∶ 4 × 8 × 12 ∶ 12 × 4 × 9 ∶ 13 × 4 × 9
⇒ A ∶ B ∶ C ∶ D = 24 ∶ 32 ∶ 36 ∶ 39
A ∶ B = 3 ∶ 4 = 3 × 8 × 12 ∶ 4 × 8 × 12
B ∶ C = 8 ∶ 9 = 8 × 4 × 12 ∶ 9 × 4 × 12
C ∶ D = 12 ∶ 13 = 12 × 4 × 9 ∶ 13 × 4 × 9
So, A ∶ B ∶ C ∶ D = 3 × 8 × 12 ∶ 4 × 8 × 12 ∶ 12 × 4 × 9 ∶ 13 × 4 × 9
⇒ A ∶ B ∶ C ∶ D = 24 ∶ 32 ∶ 36 ∶ 39
Most Upvoted Answer
If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ ...
Given Information:
We are given the following equations:
A B = 3 4,
B C = 8 9, and
C D = 12 13.
Explanation:
To find the value of A B C D, we need to find the values of A, B, C, and D individually and then multiply them together.
Let's start with the given equations:
Equation 1: A B = 3 4
From this equation, we can see that A = 3 and B = 4.
Equation 2: B C = 8 9
From this equation, we can substitute the value of B as 4: 4 C = 8 9.
Simplifying further, we get C = 8 - 4 9 = 4 9 = 36.
Equation 3: C D = 12 13
From this equation, we can substitute the value of C as 36: 36 D = 12 13.
Simplifying further, we get D = (12 13)/36 = 156/36 = 39/9 = 43/9 = 43/3.
Therefore, we have:
A = 3,
B = 4,
C = 36, and
D = 43/3.
Final Calculation:
Now, we can multiply these values together to find the value of A B C D:
A B C D = 3 4 36 43/3 = (3 4 36 43)/3 = (12 1296)/3 = 1308/3 = 436.
Answer:
Therefore, the value of A B C D is 436.
Key Points:
- Given equations: A B = 3 4, B C = 8 9, and C D = 12 13.
- We need to find the value of A B C D.
- From Equation 1, we get A = 3 and B = 4.
- Substituting B = 4 in Equation 2, we get C = 36.
- Substituting C = 36 in Equation 3, we get D = 43/3.
- Finally, multiplying A, B, C, and D, we get A B C D = 436.
We are given the following equations:
A B = 3 4,
B C = 8 9, and
C D = 12 13.
Explanation:
To find the value of A B C D, we need to find the values of A, B, C, and D individually and then multiply them together.
Let's start with the given equations:
Equation 1: A B = 3 4
From this equation, we can see that A = 3 and B = 4.
Equation 2: B C = 8 9
From this equation, we can substitute the value of B as 4: 4 C = 8 9.
Simplifying further, we get C = 8 - 4 9 = 4 9 = 36.
Equation 3: C D = 12 13
From this equation, we can substitute the value of C as 36: 36 D = 12 13.
Simplifying further, we get D = (12 13)/36 = 156/36 = 39/9 = 43/9 = 43/3.
Therefore, we have:
A = 3,
B = 4,
C = 36, and
D = 43/3.
Final Calculation:
Now, we can multiply these values together to find the value of A B C D:
A B C D = 3 4 36 43/3 = (3 4 36 43)/3 = (12 1296)/3 = 1308/3 = 436.
Answer:
Therefore, the value of A B C D is 436.
Key Points:
- Given equations: A B = 3 4, B C = 8 9, and C D = 12 13.
- We need to find the value of A B C D.
- From Equation 1, we get A = 3 and B = 4.
- Substituting B = 4 in Equation 2, we get C = 36.
- Substituting C = 36 in Equation 3, we get D = 43/3.
- Finally, multiplying A, B, C, and D, we get A B C D = 436.
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If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?a)24 ∶ 36 ∶ 39 ∶ 32b)24 ∶ 32 ∶ 36 ∶ 39c)21 ∶ 32 ∶ 36 ∶ 39d)24 ∶ 32 ∶ 30 ∶ 39Correct answer is option 'B'. Can you explain this answer?
Question Description
If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?a)24 ∶ 36 ∶ 39 ∶ 32b)24 ∶ 32 ∶ 36 ∶ 39c)21 ∶ 32 ∶ 36 ∶ 39d)24 ∶ 32 ∶ 30 ∶ 39Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?a)24 ∶ 36 ∶ 39 ∶ 32b)24 ∶ 32 ∶ 36 ∶ 39c)21 ∶ 32 ∶ 36 ∶ 39d)24 ∶ 32 ∶ 30 ∶ 39Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?a)24 ∶ 36 ∶ 39 ∶ 32b)24 ∶ 32 ∶ 36 ∶ 39c)21 ∶ 32 ∶ 36 ∶ 39d)24 ∶ 32 ∶ 30 ∶ 39Correct answer is option 'B'. Can you explain this answer?.
If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?a)24 ∶ 36 ∶ 39 ∶ 32b)24 ∶ 32 ∶ 36 ∶ 39c)21 ∶ 32 ∶ 36 ∶ 39d)24 ∶ 32 ∶ 30 ∶ 39Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?a)24 ∶ 36 ∶ 39 ∶ 32b)24 ∶ 32 ∶ 36 ∶ 39c)21 ∶ 32 ∶ 36 ∶ 39d)24 ∶ 32 ∶ 30 ∶ 39Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A ∶ B = 3 ∶ 4, B ∶ C = 8 ∶ 9 and C ∶ D = 12 ∶ 13, then what will be the value of A ∶ B ∶ C ∶ D?a)24 ∶ 36 ∶ 39 ∶ 32b)24 ∶ 32 ∶ 36 ∶ 39c)21 ∶ 32 ∶ 36 ∶ 39d)24 ∶ 32 ∶ 30 ∶ 39Correct answer is option 'B'. Can you explain this answer?.
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