GATE Mechanical 2021 Set 1 | GA | Question: 7

Question

A jigsaw puzzle has $2$ pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

• A.
• B.
• C.
• D.

Comments

Similar question: https://gateoverflow.in/357543/gate-cse-2021-set-2-ga-question-7

Answer 1

In the given figure both the end sides are flat. So, this rules out option D which has a dent on right side.

Now, if we draw a horizontal line from the end positions of the given figure (both end positions are at same level), we can see $2$ rectangle projections and $3$ dents out of which $2$ are $L$ shaped but not with same orientation. So, the correct option should complement this.

• Option A: satisfies the required criteria of having $3$ projections out of which $2$ are $L$ shaped having different orientation and $2$ rectangle dents.
• Option B: has only one dent.
• Option C: the orientation of the $2$ $L$ shapes are the same ans so cannot fit the given figure.

Correct Option: A.

Comments

Approximate diagrams:

Answer 2

In the given figure both the end sides are flat. So, this rules out option D which has a dent on right side.

Now, if we draw a horizontal line from the end positions of the given figure (both end positions are at same level), we can see $2$ rectangle projections and $3$ dents out of which $2$ are $L$ shaped but not with same orientation. So, the correct option should complement this.

• Option A: satisfies the required criteria of having $3$ projections out of which $2$ are $L$ shaped having different orientation and $2$ rectangle dents.
• Option B: has only one dent.
• Option C: the orientation of the $2$ $L$ shapes are the same ans so cannot fit the given figure.

Correct Option: A.