To do a certain work, the ratio of the efficiencies of X and Y is 5:4. Working together, they can complete the same work in 10 days. Y alone starts the work and leaves after 5 days. The remaining work will be completed by X alone in:

A man starts from his house and travelling at 30 km/h, he reaches his office late by 10 minute, and travelling at 24 km/h, he reaches his office late by 18 minutes. The distance (in km) from his house to his office is:

If $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ is equal to:

The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

The bisector of ∠B in ΔABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is:

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm³, then its lateral surface area ( in cm²) is:

A field roller, in the shape of a cylinder, has a diameter of 1 meter and length of $$ {1}{1\over4}$$ meter. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area ( in m²) that it can roll in 1 hour is:

The area of the base of a right circular cone is 400π and its height is 15 cm. The curved surface of the cone ( in cm²) is: