Quantity I: A bag contains x green balls, 7 blue balls, and 8 red balls. Two balls are drawn randomly from the bag. The probability that one ball is g...

Question

Quantity I: A bag contains x green balls, 7 blue balls, and 8 red balls. Two balls are drawn randomly from the bag. The probability that one ball is green and the other is red is given as 415\frac{4}{15}. Find the value of x (where x cannot exceed 18).

Quantity II: A cistern has two pipes: one fills it in 15 hours, and the other empties it in 12 hours. If both pipes are opened simultaneously when 35\frac{3}{5} of the cistern is already full, in how many hours will the cistern be completely emptied?

Compare Quantity I and Quantity II:

Options

A.

(a) Quantity I > Quantity II

B.

(b) Quantity I < Quantity II

C.

(c) Quantity I \geq Quantity II

D.

(d) Quantity I \leq Quantity II

E.

(e) Quantity I = Quantity II or No relation

probabilitypipes and cisternscomparisontime and work

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