Simplification: \(25^{(2.7)} \times 5^{(4.2)} \div 5^{(5.4)} = ?\)

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

Simplification: 18800 / 470 / 20

Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q and R together can complete the work in 30 days then in how many days P alone can do the work?

Find the HCF of \(\frac{2}{3}, \frac{4}{6}, \frac{8}{27}\)

Raj invested Rs.76000 in a business. After few months Monty joined him and invests Rs.57000. At the end of the year, both of them share the profits at the ratio of 2:1. After how many months Monty joined Raj?

If \(\log 2\), \(\log(2^x - 1)\) and \(\log(2^x + 3)\) are in A.P, then x is equal to _______________.

John's present age is one fourth of his father's age two years ago. John's father's age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?

A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is