GATE CS 2022 : General Aptitude-1

If the speed of boat in up-stream is 15.3 km/hr and speed of current is 8.2 km/hr. Then find the time taken by boat to cover a distance of 158.5 km down-stream will be?

If the speed of a boat in still water is 26km/hr. and the speed of current is 8km/hr., then time taken by the boat to travel 136km with the current is –

What is the remainder when (21²⁹ + 29²⁹ + 37²⁹) is divided by 29

When positive numbers x, y and z are divided by 31, the remainders are 17, 24 and 27, respectively. When (4x – 2y + 3z) is divided by 31, the remainder will be:

A vessel is full of groundnut oil. One-fourth of the groundnut oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of groundnut oil is finally left in the vessel. What is the capacity of the vessel?