Solve for x, if \((3 \times 22) + (5^2 + 2^3) - 2^x = -30\)
If a certain sum at compound interest becomes \(2\tfrac{1}{2}\) times in 5 years, then in how many years will it become \(6\tfrac{1}{4}\) times, at the same rate of interest p.a.?
If the diameter of the base of a cone is 32 cm and its curved surface area is \(3268\tfrac{4}{7}\,\text{cm}^2\), then its height is: \(\text{(Take }\pi = \tfrac{22}{7}\text{)}\)
Suman lent ₹6,400 to Rahul for three years and ₹4,000 to Ganesh for 5 years on simple interest at the same rate of interest p.a., and received ₹4,116 in all from both as interest. The interest paid by Ganesh is:
A man covers \(\tfrac{3}{7}\) of a total journey by train, \(\tfrac{5}{14}\) of the total journey by bus, and the remaining 3 km on foot. His total journey is: