Question

Which of the following is NOT proportional?

A. 0.4 to 1.2 and 3.4 to 10.2

B. 12 to 15 and 30 to 40

C. 8 to 12 and 6 to 9

D. 12 to 27 and 20 to 45

Answer 1

Answer:

option A is not proportional

Answer 2

Tip:

• The fact or quality of being in proper balance or relation as to size is known as proportionality.

Explanation for the correct answer:

We have :

$12$ to $15$ $=\frac{12}{15}$  or $\frac{4}{5}$  and

$30$ to $40$ $=\frac{30}{40}$ or $\frac{3}{4}$

So, $12$ to $15$ is not proportional to $30$ to $40$.

So, Option B) is correct .

Explanation for all other options:

The option A) is incorrect because:

$0.4$ to $1.2$ $=\frac{0.4}{1.2}$  or $\frac{4}{12}$ or $\frac{1}{3}$ and

$3.4$ to $10.2$ $=\frac{3.4}{10.2}$ or $\frac{34}{102}$ or $\frac{1}{3}$

So, $0.4$ to $1.2$  is proportional to $3.4$ to $10.2$

The option C) is incorrect because:

$8$ to $12$ $=\frac{8}{12}$  or $\frac{2}{3}$  and

$6$ to $9$ $=\frac{6}{9}$ or $\frac{2}{3}$

So, $8$ to $12$ is proportional to $6$ to $9$.

The option D) is incorrect because:

$12$ to $27$ $=\frac{12}{27}$  or $\frac{4}{9}$  and

$20$ to $45$ $=\frac{20}{45}$ or $\frac{4}{9}$

So, $12$ to $27$ is proportional to $20$ to $45$ .

Final Answer:

So, option B) is correct because the values of $12$ to $15$ is not equal to the value of $30$ to $40$. Hence, $12$ to $15$ is not proportional to $30$ to $40$.