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

Answers (1)

(a) 16:24::20:30

             \frac{16}{24}=\frac{2}{3}.......(1)

            \frac{20}{30}=\frac{2}{3}.......(2)

As we can see (1) and (2) are equal So, They are in proportion.

16:24::20:30

Hence the statement is True.

(b) 21:6::35:10

            

           \frac{21}{6}=\frac{7}{2}.......(1)

            \frac{35}{10}=\frac{7}{2}.......(2)

As we can see (1) and (2) are equal So, They are in proportion.i.e

.21:6::35:10.

Hence the statement is True.

(c) 12:18::28:12

             

            \frac{12}{18}=\frac{2}{3}.......(1)

            \frac{28}{12}=\frac{7}{3}.......(2)

As we can see (1) and (2) are not equal So, They are not in proportion.

Hence the statement is False.

(d) 8:9::24:27

            

             \frac{8}{9}=\frac{8}{9}.......(1)

            \frac{24}{27}=\frac{8}{9}.......(2)

As we can see (1) and (2) are equal So, They are in proportion.i.e.

8:9::24:27

Hence the statement is True.

(e) 5.2:3.9::3:4

             \frac{5.2}{3.9}=\frac{4}{3}.......(1)

            \frac{3}{4}=\frac{3}{4}.......(2)

As we can see (1) and (2) are not equal So, They are not in proportion.

Hence the statement is False.

(f)  0.9:0.36::10:4

           \frac{0.9}{0.36}=\frac{10}{4}.......(1)

            \frac{10}{4}=\frac{10}{4}.......(2)

As we can see (1) and (2) are equal So, They are in proportion.i.e.

0.9:0.36::10:4

Hence the statement is True.

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