Proportional Reasoning 1 — Question 1

(i) Given statement is 4 : 7 :: 12 : 21. This is true if \(\frac{4}{7}=\frac{12}{21}\) or if \(\frac{4}{7}=\frac{4}{7}\), which is true. ∴ The given statement is true. (ii) Given statement is 8 : 3 :: 24 : 6. This is true if \(\frac{8}{3}=\frac{24}{6}\) or if \(\frac {8}{3}\) = 4 , which is false. ∴ The given statement is not true. (iii) Given statement is 7 : 12 :: 12 : 7. This is true if \(\frac{7}{12}=\frac{12}{7}\), which is false. ∴ The given statement is not true. (iv) Given statement is 21 : 6 :: 35 : 10. This is true if \(\frac{21}{6}=\frac{35}{10}\) or if \(\frac{7}{2}=\frac{7}{2}\), which is true. ∴ The given statement is true. (v) Given statement is 12 : 18 :: 28 : 12. This is true if \(\frac{12}{18}=\frac{28}{12}\) or if \(\frac{2}{3}=\frac{7}{3}\) or 2 = 7, which is false. ∴ The given statement is not true. (vi) Given statement is 24 : 8 :: 9 : 3. This is true if \(\frac{24}{8}=\frac{9}{3}\) Or if 3 = 3, which is true. ∴ The given statement is true.