In this page we will go through step-by-step solutions for some of the geometric object type of questions commonly asked in CEED exams. These type of pictorial questions were asked in exams to test your visual ability skills and you are required to solve these questions without the help of paper or pen so as to save time.
Here is my latest post - Improve imagination, work with 3D solids and unfolding of solid shapes
Question : 1Count the number of faces on geometric objects
This type of visualization can be solved by counting number of faces on each direction. You can view the solid in six different directions. They are front-right-back-left-top-bottom. Fix one particular direction/order to eliminate confusion. Now you can see the faces in the below images. The object face that can be directly seen has been shaded (hatched) in blue color while the face which is hidden has been hatched in red color for your convenience.
Total number of faces is thus 16
Question : 2
Correct reflection of composition by reflecting four times along the edges.
For this type of questions, you need to fix the direction of mirroring (for this example it is clock-wise). Firstly consider only the main object and first reflection image as shown in step-1 below; forget about the remaining part.
Next consider only the first reflected image and the next reflection to be carried and forget about the remaining triangles. Like this continue visually and thus you will come to the final solution. You should try this mentally without using pen or paper.
Question : 3
Identify shadow of the object
For this type of questions, you need to identify the direction of the sun/source; in this case its from left to right. For this cube you will count eight sharp edges. Trick is "higher the edge from ground and farther the edge from the sun/source, farther will be the shadow and only the top and side edges will have visible shadows".
Question : 4
Count the number of small cubes missing in this figure
The best thing is to count the missing cubes row-rise, starting from bottom; without being confused. Here I have given number of row-wise missing cubes from the bottom.
Row 1 - 2 cubes missing
Row 2 - 1 cube missing
Row 3 - 3 cubes missing
Row 4 - 9 cubes missing ((4*4 - 7) = 16-7 = 9)
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