Question

$X\propto Y\propto \frac{1}{Z}$

Which of the following statements is correct?

• A. An increase in X leads to an increase in Z.
• B. An increase in Y leads to an increase in Z.
• C. An increase in X leads to a decrease in Z.
• D. An increase in X leads to a decrease in Y.

Answer 1

The correct option is C An increase in X leads to a decrease in Z.

$Given,X\propto Y\propto \frac{1}{Z}$

Here, the variables X and Y vary directly,
the variables X and Z vary inversely and
the variables Y and Z vary inversely.

If two quantities vary directly, then the increase in one of the quantities leads to an increase in the other quantity.

If two quantities vary inversely, then the increase in one of the quantities leads to a decrease in the other quantity.