Question

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​

Answer 1

Step-by-step explanation:

16:25::20:30

\frac{16}{24}=\frac{20}{30}=\frac{2}{3}=\frac{2}{3}

hence it is true

ii) 21:6::35:10

\frac{21}{6}=\frac{35}{10}=\frac{7}{2}=\frac{7}{2}

hence, it is true

iii) 12:18::28:12

\frac{12}{18}=\frac{28}{12}=\frac{2}{3}\ne\frac{7}{3}

hence, it is false.

iv) 8:9::24:27

\frac{8}{9}=\frac{24}{27}=\frac{8}{9}=\frac{8}{9}

hence, it is true.

v) 5.2:3.9::3:4

\frac{5.2}{3.9}=\frac{3}{4}=\frac{4}{3}\ne\frac{3}{4}

hence, it is false.

vi) 0.9:0.36::10:4

\frac{0.9}{0.36}=\frac{10}{4}=\frac{5}{2}=\frac{5}{2}

hence, it is true.

Answer 2

Answer:

(a) True

(b) True

(c) False

Step-by-step explanation:

(a) 16:24 = 8:12 = 4:6 = 2:3

20:30 = 10:15 = 2:3

So, it is true because it simply matches.

(b) 21:6 = 7:2

35:10 = 7:2

So, it is true because it simply matches.

(c) 12:18 = 6:9 = 2:3

28:12 = 14:6 = 7:3

So, it is false because it doesn't matches.