A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.
What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?
To find the minimum number of doors that need to be opened to go from point P to point Q, we analyze the top view of the building and the arrangement of doors.
Step-by-step Analysis:
- Identify the Path: Observe the layout and identify possible paths from P to Q. Each room and door configuration needs to be checked.
- Minimize Door Openings: The objective is to open the least number of doors.
- Consider Direct Path: Starting from point P, move towards the nearest door and assess if it leads directly closer to Q.
Upon examination of the diagram, the most efficient path involves:
- Open the first door leading directly from room adjacent to P.
- Proceed through the next room and open the second door to reach the pathway towards Q.
This path involves the following door openings:
- First door (from P to the next room).
- Second door (connecting the pathway to Q).
Consequently, the minimum number of doors to be opened is 2.
Conclusion: Thus, the correct answer is \(2\), as it represents the least number of door openings needed to move from point P to point Q.
Important Questions from Analytical Aptitude
An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases.
Which one of the following is a part of a possible trajectory of the ant during the movement?An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.
If the security guard does not move around the posted location and has a 360° view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.
- A person was born on the fifth Monday of February in a particular year.
Which one of the following statements is correct based on the above information? - The vector sum of all the external forces acting on a rigid body is expressed as $\sum F$ and the vector sum of moments of the external forces about a point is given as $\sum M$. The rigid body is in equilibrium if
A rock block of mass 100 kg is to be lifted by a horizontal force P as shown in the figure below. Smooth rollers are placed between the wedges. The coefficient of static friction between wedge A and surface C and between wedge B and surface D is 0.3. Ignoring the weight of the wedges and the friction between the roller and the wedges, the minimum force P in kg required to lift the block (round off to one decimal place) is____.
