The top of a table is rectangular and its dimensions are $6' \times 10'$. Two rectangular portions of the table top are painted in blue colour; both these portions have dimensions $2.5' \times 8'$ and each of them has exactly two sides common with two edges of the table top. If the table is fixed to the ground and the remaining portion of the table top is painted in white, how many different patterns are possible when observed from above?
Detailed Explanation:
The table is 6' × 10' (fixed orientation). Each blue rectangle is 2.5' × 8' with exactly two sides common with table edges—meaning each blue rectangle must occupy a corner. The 8' side must align with the 10' edge, and the 2.5' side with the 6' edge.
There are 4 corner positions. Since two blue rectangles are placed, we evaluate valid non-overlapping pairs: Adjacent corners on the same long/short side overlap (bottom-left + bottom-right, or top-left + top-right). Opposite or diagonal corner pairs do not overlap: (bottom-left + top-left), (bottom-right + top-right), (bottom-left + top-right), (bottom-right + top-left).
Therefore, 4 distinct non-overlapping patterns are possible, making Option 2 the correct answer.
Question 2 of 2 Data Interpretation
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