# Section-1: Venn Diagrams Solved QuestionLogical Reasoning Discussion

Common Information

Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, FloodRelief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.

• A maximum number of volunteers are involved in the FR project. Among them, the number of volunteers involved in FR project alone is equal to the volunteers having additional involvement in the ER project.
• The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.
• 17 volunteers are involved in the TR project.
• The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER Project alone.
• Ten volunteers involved in the TR project are also involved in at least one more project.
 Q. Common Information Question: 2/4 Which of the following additional information would enable to find the exact number of volunteers involved in various projects?
 ✔ A. Twenty volunteers are involved in FR. ✖ B. Four volunteers are involved in all the three projects. ✖ C. Twenty three volunteers are involved in exactly one project. ✖ D. No need for any additional information.

Solution:
Option(A) is correct

We can obtain the information in options 2 and 3 from the initial data.

Based on the information given in the explanation to the first question, the information in option 1 will give us the value of a, which in turn will give us the value of b. Thus, option 1 would enable us to find the exact number of volunteers involved in various projects.

Hence, option A is the correct choice.