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.