Find the mean proportional between (4 + \(\sqrt{5}\)) and (12 − 2\(\sqrt{20}\)). [IMAGE QUESTION - refer to PDF]
\(\sqrt{39}\)
2\(\sqrt{7-5}\)
\(\sqrt{7-5}\)
2\(\sqrt{7+5}\)
If p varies directly to q and p1 = 15, q1 = 630, and p2 = 6, then find the value of q2.
A and B working separately can finish a work in 18 days and 24 days, respectively. A begins the work and works for two consecutive days, while B works on the 3rd day. This pattern is continued till the work is completed. In how many days will the work be completed?
14 \( \frac{3}{5} \)
16 \( \frac{2}{3} \)
23 \( \frac{2}{3} \)
19 \( \frac{1}{2} \)
David has two grandsons Rodney and Amit. 15 year old Rodney gets some money from David's wealth and 16 year old Amit gets rest of the money. But Rodney and Amit will get money only when they turn 22 years old. Till then the money is in a bank getting interest at rate 8% compounded annually. When both turn 22, they receive the same amount. How much had David given Amit (in ₹) initially, if total money with David was ₹23,400?