Each question is followed by two statements A and B. Answer each question using the following instructions:
Answer (1) if the question can be solved by any one of the statements, but not the other one.
Answer (2) if the question can be solved by using either of the two statements.
Answer (3) if the question can be solved by using both the statements together and not by any one of them.
Answer (4) if the question cannot be solved with the help of the given data and more data is required.
Members in a club either speak French or Russian or both. Find the number of members in a club who speak only French.
A. There are 300 members in the club and the number of members who speak both French and Russian is 196.
B. The number of members who speak only Russian is 58.
Answer: C
Let F represent the set of members speaking French and R represent the set of members speaking Russian.
Also, let x represent the number of members speaking only French.
Consider statement A:
Here, total number of members = 300
∴ Number of members who speak only Russian = 300 – 196 – x = 104 – x
However, we cannot find the value of x.
∴ Statement A alone is not sufficient.
Consider statement B:
We are given that the number of members speaking Russian = 58
∴ Statement B alone is not sufficient.
Consider both statements together:
We have, 104 – x = 58
∴ Number of members speaking only French, x = 104 – 58 = 46
∴ The question can be answered using both statements together.
Hence, option (c).