Question

The antecedent and consequent of a ratio ___________ changed unless there is a change in the given statements.
A. Can be
B. Cannot be
C. Sometimes
D. None of these

Answer 1

Hint- In order to solve the problem use the basic concepts and basic definition of terms of ratio and proportion. antecedent means first term of ratio and consequent means second term of ratio.

Complete Step-by-Step solution:
As we know that if the ratio exists in general form as “p:q” then the first term in the ratio is known as antecedent and the second term after “:” sign is known as consequent.
Now let us compare two ratios.
Ratio 1 $ \Rightarrow 1:2$
Ratio 2 $ \Rightarrow 1:4$
As we know for the above two cases the value of the ratio is not the same as Ratio 1 $ \ne $ Ratio 2.
So, if the statement is not changed the ratio cannot be written in two forms as after changing the antecedent and consequent of a ratio the value of the ratio changes
Hence, the antecedent and consequent of a ratio cannot be changed unless there is a change in the given statements.
So, option B is the correct option.

Note- Ratio is the result of one number or quantity divided by another. Ratios are the simplest mathematical (statistical) tools that reveal significant relationships hidden in mass of data, and allow meaningful comparisons. In the ratio “a: b”, a and b are called terms of the ratio, a is called the antecedent or first term, and b is called the consequent or second term. Then, the ratio of two quantities = antecedent: consequent.