How many squares are there in the given figure?
Let's calculate the total number of squares present in the given figure step-by-step.
To systematically count the number of squares, we consider squares of different sizes.
- Count the smallest squares (1x1):
- There are 4 smallest squares within the top-left block.
- Another 4 smallest squares within the middle block.
- There are 6 separate small squares around the structure.
- Total = 4 + 4 + 6 = 14 squares of size 1x1.
- Count the medium squares (2x2):
- There is 1 medium square inside each 4x4 structure (top-left and center), contributing 2 squares.
- Additionally, other 2x2 squares can form using combinations of the 1x1 squares surrounding these blocks.
- Total = 2 (inside the 4x4 blocks) + 3 (from surrounding combinations) = 5 squares of size 2x2.
- Count the large squares (3x3 and 4x4):
- There are no 3x3 squares because such combinations cannot form given the structure.
- There are 2 squares of 4x4 size (considering combinations of 4 2x2 squares).
- Total = 2 squares of size 4x4.
So, adding up all the different squares we have:
- Total = 14 (1x1) + 5 (2x2) + 2 (4x4) = 21 squares.
Thus, the total number of squares in the given figure is 21. The correct answer is 21.
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?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?
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
