Answer :

**(a) **In the given question,

We have to check if the given statement is true.

Now,

We can check this as follows,

And,

Therefore,

40 : 200 = 15 : 75

Hence,

We can clearly observe that,

The given statement is true.

**(b)** In the given question,

We have to check if the given statement is true.

Now,

We can check this as follows,

And,

Therefore,

7.5 : 15 = 5 : 10

Hence,

We can clearly observe that,

The given statement is true.

**(c) **In the given question,

We have to check if the given statement is true.

Now,

We can check this as follows,

And,

Therefore,

99 : 45 = 44 : 20

Hence,

We can clearly observe that,

The given statement is true.

**(d)** In the given question,

We have to check if the given statement is true.

Now,

We can check this as follows,

And,

Therefore,

32 : 64 = 6 : 12

Hence,

We can clearly observe that,

The given statement is true.

**(e) **In the given question,

We have to check if the given statement is true.

Now,

We can check this as follows,

And,

Therefore,

45 : 60 ≠ 12 : 15

Hence,

We can clearly observe that,

The given statement is false.

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