The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is

O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to

A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-

A does half as much work as B in one-third of the time taken by B. If together they take 10 days to complete a work, then the time take by B alone to do it would have been__

A Man rows to a place 63 km far and comes back in 16 hours. He finds that he can row 18 km with the flow in the same time taken to row 14 km against the flow. What is the speed of the stream?

Directions: Find the wrong number in the following number series:

0.5, 2, 1, 4, 32, 512, 16384

A sum of ₹14,375, when invested at r% interest per year compounded annually, amounts to ₹16,767 after two years. What is the value of r?

An office opens at 10 am and closes at 5 pm. The lunch break is of 30 minutes. What is the ratio of lunch break and total office hours?