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KVPY2015MathematicsStatistics

The average incomes of the people in two villages are p and Q , respectively. Assume that P Q . A person moves from the first village to the second village. The new average incomes are P' and Q', respectively. Which of the following is not possible?

Options

  1. AP^ >P and Q^ >Q
  2. BP^ >P and Q^ < Q
  3. CP^ =P and Q^ =Q
  4. DP^ < P and Q^ < Q

Correct answer

C. P^ =P and Q^ =Q

Step-by-step solution

Let number of peoples in two villages are n and m respectively So nP - P ^ ( n -1)=( m +1) Q ^ - mQ n ( P - P ^ )+ P ^ = m ( Q ^ - Q )+ Q ^

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