Direct and inverse variation Quiz 1

Question 1

Which of the following options satisfies direct variation:

Accepted Answer

$$y = 2x$$

Answer

$$y = \dfrac{1}{{2x}}$$

Answer

$$y = \dfrac{x}{2}$$

Answer

$$y = \dfrac{1}{{{x^2}}}$$

Question 2

If $$y = 5$$ and $$x = 25$$, solve using direct variation.

Accepted Answer

$$\dfrac{1}{5}$$

Answer

$$1$$

Answer

$$\dfrac{1}{2}$$

Answer

$$2$$

Question 3

Check if the variation is direct or inverse using the table provided. $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/485760cf-d9a7-492f-aead-df509ffce6ee5286138958699021252.png"/>

Accepted Answer

Inverse variation

Answer

Direct variation

Answer

Undefined

Answer

None of the above

Question 4

Find $$y$$ when $$x = 5$$, If $$y$$ varies inversely with $$x$$ and $$y = 10$$ when $$x = 2$$.

Accepted Answer

$$4$$

Answer

$$1$$

Answer

$$5$$

Answer

$$0$$

Question 5

Find the length of the paper that was $$30cm$$ before it was reduced in the ratio $$5:2$$.

Accepted Answer

$$12cm$$

Answer

$$23cm$$

Answer

$$10cm$$

Answer

$$1cm$$