Of the 400 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between: Choose the correct choice
A) 40 to 100 B) 80 to 140 C) 160 to 260 D) 220 to 260 E) 220 to 300
260-X+X+300-X+GT60 = 400   =&gt;X = GT 620-400   =&gt; X = GT 220   =&gt; X &gt;= 220 (Here GT means Greater than)   So Min value of X is 220 coming to options 220 to 260/E   X's maximum value cannot exceed 260 as per the venn diagramsince 'W' circle cannot accomodate 'X' More than 260   ANSWER:220 to 260
<result>D</result>
Of the 400 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between: