Question:
If \(a : b = 2 : 3\), \(b : c = 4 : 5\), and \(c : d = 6 : 7\), find \(a : d\).
यदि \(a : b = 2 : 3\), \(b : c = 4 : 5\) और \(c : d = 6 : 7\) है, तो \(a : d\) ज्ञात कीजिए।
Options:
- 16 : 35
- 8 : 35
- 16 : 21
- 12 : 35
- 16 : 35
- 8 : 35
- 16 : 21
- 12 : 35
Correct Answer: a)
Explanation:
\(\frac{a}{d} = \frac{a}{b} \times \frac{b}{c} \times \frac{c}{d} = \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} = \frac{2 \times 4 \times 2}{1 \times 5 \times 7} = \frac{16}{35}\).
\(\frac{a}{d} = \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} = \frac{16}{35}\)।