GRE Exam Numerical Ability Pipes and Cistern

A hose starts filling an empty tank at 6 am and can fill it completely by 10 am. But due to leakage at the bottom of the tank, 1/3 rd of the tank would still remain empty by 10 am. Now if leakage is stopped at that time, at what time will the tank be filled by this hose ? (A) 11.30 am (B) 11.20 am (C) 11.40 am (D) 11.50 am

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GRE Other Question

English language has 26 alphabets, out of 4 distinct vowels and 6 distinct consonants, how many letter patterns can be made with each is to contain 4 distinct consonants and 2 distinct vowels ? If Robert writes coefficient of x incorrectly, while writing a quadratic equation and finds the roots as -2 and 8. Steven makes a mistake in writing the constant term and finds the root as 3 and 9. Find the correct equation.
(A) x²-12x-16=0 (B) x²+12x-16=0 (C) x²-12x+16=0 (D) x²+12x+16=0