Olympiad Test: Dot Situation - 1 - Class 6 MCQ

In fig. (X), one of the dots lies in the region common to the circle and the square only, another dot lies in the region common to the square, the triangle and the rectangle only and the third dot lies in the region common to the triangle and the rectangle only. In each of the figures (1), (2) and (3) there is no region common to the square, the triangle and the rectangle only. Only fig. (4) consists of all the three types of regions.

In Figure X, observe the three black dots:

• All three dots are inside the square.

• Each dot is also inside one more shape at the same time:
  • One dot is in the square and the circle,
  • One dot is in the square and the triangle,
  • One dot is in the square and the parallelogram.

The condition is that all dots must lie inside the square, and each dot must also lie within a different overlapping shape.

Now check the options:

• Figure (1): Satisfies this condition exactly.
• Figures (2), (3), (4): Do not satisfy the condition because the dots are not correctly placed inside the square and one other shape.

In fig. (X), the dot is contained in the region common to the triangle and the square only. Out of the four alternatives, only fig. (1) contains a region common to the triangle and the square only.

In fig. (X), one of the dots lies in the region common to the circle and the triangle only and the other dot lies in the circle alone. In each of the two figures (1) and (2), there is no region common to the circle and the triangle only. In fig. (4) there is no region which lies in the circle alone. Only fig. (3) consists of both the types of regions.

In fig. (X), one of the dots is placed in the region common to the circle and the triangle only and another dot is placed in the region common to the square and the triangle only. In each of the three alternatives (2), (3) and (4), there is no region common to the square and the triangle only. Only fig. (1) consists of both the types of regions.

In fig. (X), one of the dots lies in the region common to the circle the triangle and the rectangle only, another dot lies in the region common to the circle and the triangle only and the third dot lies in the region common to the circle, the square and the triangle only. In each of the figures (1), (2) and (4) there is no region common to the circle, the triangle and the rectangle only. Only fig. (3) consists of all the three types of regions.

In fig. (X), one of the dots lies in the region common to the circle and the square only, another dot lies in the region common to all the three figures - the circle, the square and the triangle and the third dot lies in the region common to the circle and the triangle only. In each of the alternatives (1), (3) and (4), there is no region common to the circle and the triangle only. Only fig. (2) consists of all the three types of regions.

In fig. (X), one of the dots lies in the region common to the circle and the square only and the other dot lies in the region common to all the three figures -the circle, the square and the triangle. In each of the alternatives (1), (2) and (3), there is no region common to the square and the circle only. Only fig. (4) consists of both the types of regions.

In fig. (X), the dot is contained in the region common to the triangle and the circle only. Out of the four alternatives, only fig. (3) contains a region common to the triangle and the circle only.

In fig. (X), one of the dots lies in the region common to the circle and the triangle only, another dot lies in the region common to the circle, the square and the triangle only and the third dot lies in the region common to the circle, the square and the rectangle only. In each of the figures (1) and (3) there is no region common to the circle and the triangle only. In fig. (4) there is no region common to the circle, the square and the rectangle only. Only fig. (2) consists of all the three types of regions.