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If 80% employees of a company play soccer, what percent of the employees play golf?
(1) 25% of the employees who play soccer also play golf.
(2) 50% of the employees who play golf also play soccer. 
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 80% employees of a company play soccer, what percent of the employe...
Steps 1 & 2: Understand Question and Draw Inferences
We are given that 80% employees of a company play soccer. We have to find the percentage of the employees who play golf.
Since this question only talks about the percentage, not the absolute numbers, let’s say the number of employees in the company is 100.
80% of these employees play soccer. Now, these 80% employees include the employees who play only soccer and the employees who play soccer and golf both.
So, the employees who play soccer = 80% of 100 = 80
Let’s say the number of employees who play both soccer and golf = x
Thus, the number of employees who play only soccer = 80 – x
Also, let the number of employees who play only golf = y
If there are any employees who play neither soccer nor golf = 20 – y
The total number of employees who play golf = x + y 
We have to find the value of (x + y).
 
 
Step 3: Analyze Statement 1
Statement (1) says: 25% of the employees who play soccer also play golf.     
The number of employees who play soccer and golf is x.
Per this statement:
 x = 25% of 80
x = 20   ………….. (1)
However, since we do not know the value of y, we cannot get the value of (x + y). 
Hence, statement (1) is not sufficient to answer the question: What is the value of (x + y)?     
 
Step 4: Analyze Statement 2
Statement (2) says:  50% of the employees who play golf also play soccer.         
The employees who play golf and soccer are (x + y). 50% of these employees also play soccer. Out of these (x + y) employees, the employees who play soccer = x
50% of (x + y) = x
x + y = 2x
y = x             …… (2)
However, we don’t know the value of x and y. so, we can’t determine the value of (x + y).
Hence, statement II is not sufficient to answer the question: What is the value of (x + y)?  
Step 5: Analyze Both Statements Together (if needed)
Since step 3 and step 4 were not able to provide the answer to the question, let’s analyse both the statements together:
Statement (1):
x = 20   ………….. (1)      
Statement (2):
y = x          ………… (2)      
Thus,
y = 20
Hence,
x + y = 20 + 20 = 40 
 
So, statement (1) and (2) combined are sufficient to answer the question.   
 
Answer: Option (C)  
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Most Upvoted Answer
If 80% employees of a company play soccer, what percent of the employe...
Statement 1:
25% of the employees who play soccer also play golf.

Statement 2:
50% of the employees who play golf also play soccer.

To determine the percent of employees who play golf, we need to consider the information provided in both statements.

Analysis:
Let's assume there are 100 employees in the company.

From statement 1, we know that 25% of the employees who play soccer also play golf. Hence, 25% of 80 employees play golf, which is 20.

From statement 2, we know that 50% of the employees who play golf also play soccer. Hence, 50% of the employees who play golf also play soccer, which is 20.

Therefore, we have determined that 20 employees play both soccer and golf.

Combining the Statements:
From statement 1, we know that 20 employees play golf. From statement 2, we know that 20 employees play both golf and soccer. However, we don't have enough information to determine the total number of employees who play golf.

Conclusion:
While each statement alone provides some information about the employees who play golf, only when both statements are considered together can we determine the total percentage of employees who play golf. Therefore, both statements together are sufficient to answer the question. The correct answer is option C.
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If 80% employees of a company play soccer, what percent of the employees play golf?(1) 25% of the employees who play soccer also play golf.(2) 50% of the employees who play golf also play soccer.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?
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