MT1302

Can the first 5 pieces from an 8-piece sectional sofa fit along the available wall space in the living room shown above?
(1) The first 6 pieces of the sectional sofa have an average (arithmetic mean) length of 4.5 feet.
(2) D = 20 feet.
(1) The first 6 pieces of the sectional sofa have an average (arithmetic mean) length of 4.5 feet.We do not know the length of D.
INSUFF.
(2) D = 20 feet.We do not know the total length of the \(5\) pieces.
INSUFF.
1+2We know that the total length of the \(6\) pieces is \(27 \)
The length of D is \(20 \)
So we could have \(5*4 + 1*7= 27,\) We can answer yes (The required \(5\) pieces each has a length \(4\) and sixth piece has length 7 )
Or we could have \(5*5+ 1*2 =27,\) We can answer NO (The required \(5\) pieces each has a length \(5\) and sixth piece has length \(2\) )
INSUFF.Ans E
Hope it helped.