GATE Overflow Test Series | Spatial and Analytical Aptitude | Test 1 | Question: 28

Question

Which of the following figures can be formed when the given figure is folded? (Mark all the appropriate choices)
 

• A.
   
• B.
   
• C.
   
• D.

Answer 1

We have $6$ parts in the fold. When completely folded  we get the following opposite pairs $(\Phi,\Gamma),$ $(\Psi,\Omega)$ and $(\Pi,\Lambda).$

If we take $\Phi$ and $\Gamma$ as top and bottom, then the other sides will be $\Pi, \Psi, \Lambda, \Omega.$

Since we are free to rotate the cube or flip it, any combination of pairs is possible except the opposite pairs coming adjacent.

In option C, opposite pairs $(\Psi,\Omega)$ are coming adjacent which is not possible.

For $A, B$ and $D$ no opposite pairs are adjacent and hence they are possible when the given figure is folded.

So, the correct answer is $A;B;D.$

Comments

sir even option A seems wrong because if $\psi$ comes to the right of $\phi$, then $\Pi$ cannot come at the top, but $\Lambda$ will come at the top.

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No. Try different folding.

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oh ok sir. By assuming that paper is printed on both sides, we are getting that possibility.