GATE PI 2021 question paper — Paper 1

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

and are positive integers and , then,

The least number of squares that must be added so that the line P-Q becomes the line of symmetry is

Nostalgia is to anticipation as is to Which one of the following options maintains a similar logical relation in the above sentence?

Consider the following sentences: (i) I woke up from sleep. (ii) I woked up from sleep. (iii) I was woken up from sleep. (iv) I was woken up from sleep. Which of the abo…

Given below are two statements and two conclusions. Statement 1: All purple are green. Statement 2: All black are green. Conclusion I: Some black are purple. Conclusion …

Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence (AI) is currently a hot…

Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved…

The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in whic…

Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the…

A product has an exponential time-to-failure distribution with a constant failure rate of 0.0006 per hour. The reliability of the product after 400 hours of operation is

In a typical product development process under concurrent engineering approach, all elements of product life cycle from conception to disposal are considered at