A : B = 3 : 4 and B : C = 5 : 6 Find the C : A

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RRB NTPC Exam 19 Jan 2021 click here to view all questions

A : B = 3 : 4 and B : C = 5 : 6 Find the C : A

A5 : 2

B15 : 24

C8 : 5

D5 : 8

Akhilesh ? Apr 17 '25 at 22:20

Correct Answer: OPTION c : 8 : 5

Explanation:

We are given two ratios and need to find the ratio of C to A.

Given:

\( A : B = 3 : 4 \)

\( B : C = 5 : 6 \)

Steps:

\( A = \frac{3}{4}B \)

\( C = \frac{6}{5}B \)

\( C : A = \frac{6}{5}B : \frac{3}{4}B \)

\( \frac{6}{5} : \frac{3}{4} = \frac{6}{5} \times \frac{4}{3} = \frac{24}{15} = \frac{8}{5} \)

1. Express A and C in terms of B:
2. Set up the ratio \( C : A \):
3. Simplify the ratio by eliminating B:
4. Thus, \( C : A = 8 : 5 \)

Final Answer: \(\boxed{8 : 5}\)

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Correct Answer: OPTION c : 8 : 5 Explanation: We are given two ratios and need to find the ratio of C to A. Given: \( A : B = 3 : 4 \) \( B : C = 5 : 6 \) Steps: \( A = \frac{3}{4}B \) \( C = \frac{6}{5}B \) \( C : A = \frac{6}{5}B : \frac{3}{4}B \) \( \frac{6}{5} : \frac{3}{4} = \frac{6}{5} \times \frac{4}{3} = \frac{24}{15} = \frac{8}{5} \) Express A and C in terms of B: Set up the ratio \( C : A \): Simplify the ratio by eliminating B: Thus, \( C : A = 8 : 5 \) Final Answer: \(\boxed{8 : 5}\) Akhilesh ? answered Apr 17 '25 at 22:20

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