A train travelling at 36 km/h crosses a pole in 25 seconds. How much time (in seconds) will it take to cross a bridge 350 m long?

When positive numbers a, b and c are divided by 13, the remainders are 9, 7 and 10, respectively. What will be the remainder when (a+2b+5c) is divided by 13?

A and B enter into a partnership with capital in the ratio 5: 6. After 4 months, A withdraws $$1\over 5$$of his capital, while B increases his capital by $$33{1\over 3}\%$$. What is the share (in ₹ lakhs) of B in the annual profit of ₹6.3 lakhs?

The value $${7+3\sqrt {5}\over3+\sqrt { 5}}-{7-3\sqrt {5}\over3-\sqrt { 5}}$$ lies between

The rate of interest for the first 2 years is 6% p.a., for the next 3 years is 10% p.a., and for the period beyond 5 years is 12% p.a. If a person gets ₹12,771 as simple interest after 7 years, then how much money did he invest?

A cylindrical roller made of iron is 1.2 m long. Its internal radius is 24 cm and thickness of the iron sheet used in making the roller is 15 cm. What is the mass (in kg) of the roller, if 1 cm³ of iron has 8 g mass?

A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 litres per second. How much time (in hours) will it take to empty $$2\over 3$$ part of the tank, if the internal radius of the tank is 10.5 m?

The circumference of the base of a cylindrical vessel is 158.4 cm and its height is 1 m. How many litres of water can it hold (correct to one decimal place)?

(Take π = 22/7)