Question

Given below is the diagram which represents various sports played by the students. Based on the diagram find the number of girls who neither play hockey nor football

• A. 6
• B. 9
• C. 8
• D. 7

Answer 1

The Correct Option is A

To determine the number of girls who neither play hockey nor football, we need to analyze the given diagram and understand the relationships between the sets.

The diagram consists of three intersecting areas representing different groups of students:

• The rectangle represents students who play football.
• The triangle represents students who play hockey.
• The circle represents girls.

We are interested in finding the number of girls who do not participate in either hockey or football. By analyzing the partitioning of the circle (which represents girls), we can identify the sections related to hockey, football, both, or neither:

• The number inside only the circle without overlaps is 6, which represents girls who do not play hockey or football.

Let's examine the sections involving intersections:

• The number 3 appears in the circle overlapping with both rectangle and triangle, representing girls who play both hockey and football.
• The number 4 appears in the intersection of circle and rectangle, representing girls who play football but not hockey.
• The number 5 appears in the intersection of circle and triangle, representing girls who play hockey but not football.

Thus, the only part of the circle not overlapping with either triangle or rectangle signifies girls who do not play either sport. This portion is the value 6 from the diagram.

Conclusion: Therefore, the number of girls who neither play hockey nor football is 6, which matches the correct answer option.