Dot Situation

**Category : **10th Class

**Dot Situation**

**Dot Situation**

** **

The problems on Dot Situation involve a combination of three or more geometrical shapes usually triangle, square, rectangle or/and circle having one or more dots placed at any point inside the combination. This combination is followed by a set of four alternative figures each composed of a combination of same type of figures. Now, for each dot we have to observe the region in which it is enclosed, i.e. to which of the geometrical figures this region is common. Then, one has to look for such a region in the four alternatives. Once this is found, the procedure for other dots if any is repeated. The alternative figure which contains all such regions is the answer

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**Example:**

**1. Select the figure from the following options which satisfies the same conditions of placement of the dot as in fig. (X)**

(X)

(a) (b) (c) (d)

**Ans. **(c)

**Explanation:** In fig. (X), the dot is placed in the region common to all the three geometrical shapes- the square, the triangle and the circle. Among the given options, only in figure (c), we have a region common to the square, the triangle and the circle. So option (c) is correct.

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**2. Select the figure from the following options which satisfies the same condition of placement of the dots as in fig. (X)**

(X)

(a) (b) (c) (d)

**Ans.** (b)

**Explanation:** In figure (X), one of the two dots is paced in the region common to all three; the circle, the square and the triangle and other dot is placed in the region common the square and the triangle. Among the given potions, only in option B, there exist one region common to all three shapes and another region common to the square and the triangle. So option (b) is correct.

**3. Select the figure from the following options which satisfies the same condition of placement of the dots as in fig. (X)**

(X)

(a) (b) (c) (d)

**Ans. **(d)

**Explanation:** In figure (X), one of the dots lies in the region common to the circle and the square, another dot lies in the region common to the square and the triangle and the third dot lies in the triangle alone. Among the given options, only options d) contains all such three types of regions. So option (d) is correct.

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**4. Select**** the figure from the following options which satisfies the same condition of placement of the dots as in fig. (X)**

(X)

(a) (b) (c) (d)

**Ans. **(b)

**Explanation:** Figure (X) contains three dots. One of the dots lies in the region common to the square/ the rectangle and the circle. The second dot is in the region common to the circle, the square, the triangle and the rectangle/ and the last dot lies in the region common to the circle, the triangle, and the rectangle. The same region is represented in the figure B..

**Snap Test**

** Direction:** In each of the following questions, there is a figure marked (X) with one or more dots. You have to choose the figure from the options which satisfies the same condition of placement of the dots as in the figure (X).

**1.**

(X)

(a) (b) (c) (d)

**Ans. **(c)

**Explanation:** In fig. X, the dot is placed in the region common to the square and triangle only. Among the given options, only in option C there exist a region common to the square and the triangle. Hence option (c) is correct.

**2**.

(X)

(a) (b) (c) (d)

**Ans. **(c)

**Explanation:** The dot, fig. X contains, lies in the region which is common to the square and the triangle only. The same condition holds in option (c).

**3.**

(X)

(a) (b) (c) (d)

**Ans. **(d)

**Explanation:** Fig. X contains a dot which is placed in the region common to the circle, the rectangle and the square. The same condition holds in option D. Hence option (d) is correct.

**4. **

(X)

(a) (b) (c) (d)

**Ans. **(a)

**Explanation:** Fig. X contains two dots. One dot is placed in the region common to all three shapes and another is placed in the rectangle alone. The same condition holds in option A. So option A is correct.

**5. **

(a) (b) (c) (d)

**Ans. **(b)

**Explanation:** Fig. X contains two dots. One dot is placed in the region common the circle and the square and another dot is placed in the region common to the triangle and the square. Only option B holds the same condition. Hence option (b) is correct

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