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Question

The following ratios are given:

\(a : b = 2 : 3\)

\(b : c = 4 : 5\)

\(c : d = 3 : 2\)

\(d : e = 5 : 4\)

What is the value of the ratio a : e?

This question was previously asked in
RRB NTPC 2025 Under Graduate CBT 2 Question Paper PDF (17-Sep-2026) (Shift 1)
The correct answer is

1 : 1

The combined ratio \(a:e\) is obtained by multiplying all the given ratios together:

\(\frac{a}{e} = \frac{a}{b} \times \frac{b}{c} \times \frac{c}{d} \times \frac{d}{e} = \frac{2}{3} \times \frac{4}{5} \times \frac{3}{2} \times \frac{5}{4}\).

Simplifying, \(\frac{2 \times 4 \times 3 \times 5}{3 \times 5 \times 2 \times 4} = 1\).

So \(a:e = 1:1\).

Hence, the ratio a : e is 1 : 1.

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