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JEE Math Practice Question

The mean of set of 30 observations is 75. If each observation is multiplied by a non-zero number $$\lambda $$ and then each of them is decreased by 25, their mean remains the same. Then $$\lambda $$ is equal to :

  1. A.$${1 \over 3}$$
  2. B.$${2 \over 3}$$
  3. C.$${4 \over 3}$$
  4. D.$${10 \over 3}$$

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