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Question

Choose all statements which are correct.
  1. If two quantities are in direct proportion, then one quantity will be a multiple of another.
  2. If two quantities are in direct proportion, then if one quantity increases, the other quantity doubles.
  3. If two quantities are in direct proportion, they cannot be equal.
  4. If two quantities are in direct proportion, then if one quantity increases, the other quantity increases by the same factor.


Solution

The correct options are
D If two quantities are in direct proportion, then if one quantity increases, the other quantity increases by the same factor.
If two quantities are said to be in direct proportion, then it means that when one quantity increases, the other quantity also increases at the same rate. We cannot determine if the two quantities are equal, or if one is a multiple of the other, or the rate of increase, unless we know the numerical values of the quantities.

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