GATE EC 2021 Question Paper (07-Feb-2021) (Shift 2)

Given below are two statements and ttwo conclusions.

Statement 1: All purple are green.

Statement 2: All black are green

Conclusion I: Some black are purple.

Conclusion II: No black is purple

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

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 topic. AI enables computers to learn given enough training data. For humans, sitting in front of a computer for long hours can lead to health issues.

Which of the following can be deduced from the above passage?

(i) Nowadays, computers are present in almost all places.

(ii) Computers cannot be used for solving problems in engineering.

(iii) For humans, there are both positive and negative effects of using computers.

(iv) Artificial intelligence can be done without data.

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 about its short edge to form a solid cone. The volume of resulting cone, in cubic units, is _____

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

The number of the day in the given week in which one of the students spent a minimum of 10% more than the other students, on a given day, is

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 area of the original equilateral triangle is