Olympiad Notes: Dot Situation | Math Olympiad for Class 5 PDF Download

Introduction

Dot situation is for the assessment and testing of students sharewd observation power. A problem figure is given in which has one or more dots are placed in the space enclosed by two or more geometrical figures such as square, rectangle, circle, triangle, pentagon, hexagon, octagon etc.
One has to identify the region(s) where the dot is/are situated in the problem figure. Then search for an answer figure in which dots are placed in a similar enclosed area.

Directions for questions 1 to 5: Select the appropriate alternatives, from among the answer figures marked (1), (2), (3), (4) and (5), satisfying the similar conditions of placement of dot(s) as in the problem figure.
Q1:

Solution: In the problem figure, one dot appers in a region common to both circle and rectangle only. Such a region is present in the answer figure (5). Choice (5)

Q2:

Solution: In the problem figure, there are two dots. One dot appears in a region common to both circle and square only and another dot appears in a region common to both triangle and square only. Such a region is present only in the answer figure (1).
Choice (1)

Q3:

Solution: In the problem figure, there are 3 dots. One dot appears in a region common to all the three figures; another dot appears in a region common to both circle and square only and another dot appears in a region common to both triangle and square only. Such a region is present only in the answer figure (5).
Choice (5)

Q4:

Solution: In the problem figure, there are 3 dots. One dot appears in a region common to both pentagon and circle only, another dot appears in a region common to both pentagon and triangle only and another dot appears in a region common to pentagon, triangle and square. Such a region is present only in the answer figure (1).
Choice (1)

Q5:

Solution: There are 4 dots in the problem figure. One dot appears in a region common to all the four figures; another dot appears in a region common to hexagon, circle and rectangle only; another dot appears in a region common to hexagon and circle only; another dot appears in a region common to hexagon and rectangle only. Such regions are present only in the answer figure (4). Choice (4)