morya003 wrote:
Attachment:
Bookrack.PNG
Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?
(1) x = 50 centimeters.
(2) Twelve of the volumes have an average (arithmetic mean) thickness of 5 centimeters.
Target question: Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above? Statement 1: x = 50 centimeters. We have no idea how THICK the first 10 volumes are.
They COULD each be 1 mm thick, in which case
the 10 volumes will easily fit in the 50 cm rack Or they COULD each be 1 km thick, in which case
the 10 volumes will NOT fit in the 50 cm rack Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Twelve of the volumes have an average (arithmetic mean) thickness of 5 centimeters.We have no idea how wide the book rack is.
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined We have no info about the thickness of the 10 volumes to be placed in the rack.
Consider these two possible cases:
Case a: Each of the 12 volumes noted above in statement 2 are 5 cm thick. Two of those 5-cm-thick volumes are added to eight volumes that are each 1
mm thick. In this case,
the 10 volumes will easily fit in the 50 cm rack Case b: Each of the 12 volumes noted above in statement 2 are 5 cm thick. Two of those 5-cm-thick volumes are added to eight volumes that are each 1
km thick. In this case,
the 10 volumes will NOT fit in the 50 cm rack Since we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
1.Does that mean we are only concerned about it upright (through height) in the stack and not about the base overflowing or not fitting properly across the rack base?
What is implied meaning of thickness .Is it he height of the book standing upright.
((I came across an official question wherein a glass had to be fitted completely on the table so length breadth role was important))