GWD27-Q33

nicboy

    

Q33:

    

 

    
        
                
                
                
                
            
            
                
                
                
                
            
            
                
                
                
                
            
        

	Favorable	Unfavorable	Not Sure
Candidate M	40	20	40
Candidate N	30	35	35

    

 

    

The table above shows the results
of a survey of 100 voters each responded “favorable” or “unfavorable” or “not
sure” when asked about their impressions of candidate M and of candidate
N.  What was the number of voters
who responded “favorable” for both candidates?

    

(1)
            The
number of voters who did not respond “favorable” for either candidate was 40.

    

(2)
              The number of voters who responded
“unfavorable” for both candidates was 10.

    

              

    

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.

    

Answer: ( A)

看了以前的帖子，但还是不清楚，哪位帮忙分析一下，为什么是A啊

bth

Stem1:

No. of voters responded favorable for either of the candidates=100-40=60

60 = P(M) + P(N) - P(M&N)
=> 60 =40+30 - p(M&N)
=> P(M&N) = 70-60=10 (responded favourable for both the candidates)

Sufficient

Stem2:
Don't know about no. of voters who are unsure or in favor. So Insufficient.

Answer is A.