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

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