A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15th July of the same year?

"His face ___________ with joy when the solution of the puzzle was _______ to him."

The words that best fill the blanks in the above sentence are

"Although it does contain some pioneering ideas, one would hardly characterize the work as _________."

The word that best fills the blank in the above sentence is

Given that $${{\log \,P} \over {y - z}} = {{\log \,Q} \over {z - x}} = {{\log \,R} \over {x - y}} = 10$$ for $$x \ne y \ne z$$, what is the value of the product PQR?