# Q.2 Write True (T) or False ( F ) against each of the following statements : (a) 16 : 24 :: 20 : 30 (b) 21: 6 :: 35 : 10 (c) 12 : 18 :: 28 : 12 (d) 8 : 9 :: 24 : 27 (e) 5.2 : 3.9 :: 3 : 4 (f) 0.9 : 0.36 :: 10 : 4

Answer :

(a) 16: 24 :: 20: 30
$$\frac{16}{24} = \frac{2}{3}$$
$$\frac{20}{30} = \frac{2}{3}$$
Hence, 16: 24 = 20: 30
Therefore True
(b) 21: 6:: 35: 10
$$\frac{21}{6} = \frac{7}{2}$$
$$\frac{35}{10} = \frac{7}{2}$$
Hence, 21: 6 = 35: 10
Therefore True
(c) 12: 18 :: 28: 12
$$\frac{12}{18} = \frac{2}{3}$$
$$\frac{28}{12} = \frac{7}{3}$$
Hence, 12: 18 $$\neq$$28:12
Therefore False
(d) 8: 9:: 24: 27
$$\frac{24}{27} = \frac{8}{9}$$
Hence, 8: 9 = 24: 27
Therefore True
(e) 5.2: 3.9:: 3: 4
$$\frac{5.2}{3.9} = \frac{4}{3}$$
Hence, 5.2: 3.9 $$\neq$$ 3: 4
Therefore False
(f) 0.9: 0.36:: 10: 4
$$\frac{0.9}{0.36} = \frac{10}{4}$$
Hence, 0.9: 0.36 = 10: 4
Therefore True