Q3.

Two taps can fill a cistern in 4 hours and 17 hours, respectively. A third tap can empty it in 17 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

Q4.

Find the value of m which satisfies

 \(\left(\dfrac{22}{5}\right)^{18} \times \left(\dfrac{5}{22}\right)^{8} \times \left(\dfrac{22}{5}\right)^{6} = \left(\dfrac{5}{22}\right)^{9m+4}.\)

Q5.

Three friends P, Q, and R start a business by investing in the ratio 2:3:5. If the total profit is ₹10,000, how much more does R receive than P?