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  1. The average of class in 35 yr. 6 new students with an average age of 33 yr. joined in that class, there by decreasing the average by half year. The original strength of the class was
    1. 14
    2. 18
    3. 16
    4. 20
Correct Option: B

Let the number of students in the class = N
According to the question,
(35N + 6 x 33) / (N + 6) = 35 - (1/2)
⇒ 35N + 198 = 34.5 (N + 6)
⇒ 35N +198 = 34.5N + 207
⇒ 0.5N = 207 -198N = 9/0.5 = 18
∴ N = 18 days



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