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Solution


Q.

Let X={x∈ℕ:1≤x≤19} and for some a,b∈ℝ,  Y={ax+b:x∈X}. If the mean and variance of the elements of Y are 30 and 750, respectively, then the sum of all possible values of b is                 [2026]
1 100  
2 20  
3 80  
4 60  

Ans.

(4)