Longest rod in a room = space diagonal root(l^2 + b^2 + h^2)
This type of question, asked 4 times: CDS 2 2021, CDS 2 2022, CDS 1 2025, CDS 2 2026. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2021
66The length and breadth of a room are 21 m and 16 m respectively. If the length of the longest rod that can be placed in the room is 29 m, then what is the height of the room ?Tap an option to check your answer.
Question 2
CDS 2 2022
70The length of a room is times its breadth and breadth is times its height. If H is the height of the room and L is the longest rod that can be placed in the room, then which one of the following is correct ?Tap an option to check your answer.
Question 3 (case study, 2 parts)
CDS 1 2025
A hall is of length , breadth b and height h. The maximum distance between any two points (say P and Q) inside the hall is 14 m, whereas the maximum distance between two points (say P and R) on the floor is m.61What is h equal to ?Tap an option to check your answer.
62If is the angle between the line joining P and Q, and the line joining P and R, then what is equal to ?Tap an option to check your answer.
Question 4
CDS 1 2025
11A lamp is kept on a vertical pole. The height of the top of the lamp above the ground is m. The perpendicular distances of the bottom of the pole from two adjacent walls meeting perpendicularly are 0.7 m and 2.4 m. What is the distance of the top of the lamp from the corner point of the walls on the ground ?Tap an option to check your answer.
Question 5
CDS 2 2026
76A room is L m long, B m wide and H m high. Further, L > B > H and L, B and H are integers. The length of the longest pole that can be placed in the room is 17 m and the length of the longest pole that can be placed on the floor is 15 m. What is the volume of the room ?Tap an option to check your answer.