OGQR 2020: Question No. 211
In the figure above, is the shaded region a square region?
- ABCD and EFGH are squares.
- BC = EF
| Source | OGQR 2020 |
| Type | Data Sufficiency |
| Topic | Geometry |
| Sub-Topic | Polygons |
| Difficulty | Medium |
Solution
Steps 1 & 2: Understand Question and Draw Inferences
We are given:
- A shaded region
We need to find:
- Whether the shaded region is a square region or not.
For a region to be a square, its all the sides should be equal, and all the internal angles must be 900.
- So, we will check if all the sides are equal and all internal angles are 900.
With this understanding, let us now analyse the individual statements.
Step 3: Analyse Statement 1
“ABCD and EFGH are squares.”
From this information, we cannot say anything about the shaded region.
- It may or may not be a square.
Thus, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“BC = EF”
This information does not help us say anything about the shaded region.
- Thus, statement 2 is not sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
From statement 1:
- ABCD and EFGH are squares.
From statement 2:
- BC = EF
On combining both the statements, we can say that sides of square ABCD and EFGH are equal.
However, this does not ensure that shaded region is also a square.
Hence, we can find the answer even after combining both the statements together.
Thus, the correct answer choice is option E.
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