1
GATE CE 2024 Set 2
+2
-0.833

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

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

A

5/2

B

7/2

C

9/2

D

3

2
GATE CE 2024 Set 2
+2
-0.833

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?

A

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.

B

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.

C

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

D

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

3
GATE CE 2024 Set 2
+2
-0.833

Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is

A

120°

B

60°

C

90°

D

180°

4
GATE CE 2024 Set 1
+2
-0.83

Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people.

How many unique seating arrangements are possible such that each person is sitting next to their twin?

A

12

B

14

C

10

D

28

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