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JEE Math Practice Question

Let X = {x $$ \in $$ N : 1 $$ \le $$ x $$ \le $$ 17} and Y = {ax + b: x $$ \in $$ X and a, b $$ \in $$ R, a > 0}. If mean and variance of elements of Y are 17 and 216 respectively then a + b is equal to :

  1. A.7
  2. B.9
  3. C.-7
  4. D.-27

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