Recent activity in Spatial Aptitude

 A paper shown in Panel $\text{I}$ is folded along the dashed lines $(- - -)$ to construct a cube. The shaded regions shown in Panel $\text{I}$ appear on the outer surfac...

To continue the sequence of tiles shown, the tile indicated by the question mark should be

​​​​A regular dodecagon ($12$-sided regular polygon) is inscribed in a circle of radius $r$ cm as shown in the figure. The side of the dodecagon is $d \mathrm{~cm}$. All ...

​​​In the given figure, the numbers associated with the rectangle, triangle, and ellipse are $1,2$, and $3$, respectively. Which one among the given options is the most a...

Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertice...

An art gallery engages a security guard to ensure that the items displayed are \end{tabular} protected. The diagram below represents the plan of the gallery where the bou...

Consider the following square with the four corners and the center marked as $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ respectively.Let $\mathrm{X...

The least number of squares that must be added so that the line $P-Q$ becomes the line of symmetry is$4$ $3$$6$$7$

Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolve...

Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.The ratio of the area of the regular convex hexagon to the a...