GATE IN 2024 Paper 1 — page 3

Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.

Seven identical cylindrical chalk-sticks are fitted tight in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.

Diagram for Instrumentation Engineering question 7

The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is

Your answerChoose one option.

5/2

7/2

9/2

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The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

Diagram for Instrumentation Engineering question 8

Your answerChoose one option.

The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk reduction on increasing the steps/day from 10000 to 20000.

The risk reduction on increasing the steps/day from 0 to 5000 is less than the risk reduction on increasing the steps/day from 15000 to 20000.

For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 5000.

For any 5000 increment in steps/day the largest risk reduction occurs on going from 15000 to 20000.

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Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B.

Figure A: