Question

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 1

(a) \(16:24::20:30\)
\(⇒\frac{ 16}{24} =\frac{ 20}{30}\)

\(⇒ \frac{2}{3} =\frac{ 2}{3}\)
Hence, it is True.

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(b) \(21:6::35:10\)
\(⇒ \frac{21}{6} = \frac{35}{10}\)

\(⇒\frac{ 7}{2} = \frac{7}{2}\)
Hence, it is True.

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(c) \( 12:18::28:12\)
\(⇒ \frac{12}{18} =\frac{ 28}{12}\)

\(⇒\frac{ 2}{3} ≠ \frac{7}{3}\)
Hence, it is False. 

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(d) \(8:9::24:27\)
\(⇒ \frac{8}{9} = \frac{24}{7}\)

\(⇒\frac{ 8}{9} =\frac{ 8}{9}\)
Hence, it is True.

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(e) \(5.2:3.9::3:4\)
\(⇒\frac{ 5.2}{3.9} =\frac{ 3}{4}\)

\(⇒ \frac{4}{3} ≠ \frac{3}{4}\)
Hence, it is False.

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(f) \(0.9:0.36::10:4\)
\(⇒\frac{ 0.9}{0.36} = \frac{10}{4}\)

\(⇒ \frac{5}{2}=\frac{5}{2}\)
Hence, it is True.