chiccufrazer1 wrote:
this is an lcm problem @mike...the lowest common multiple of 3 ,4 and 5 crates is 60 crates..therefore we multiply 60 and 125kg to get 7500kg..the statement in the stem question says that each crate weighs no less than 125kg, which means that each crate is greater than 125 kg or equal to it in terms of weight.
Dear
chiccufrazer1 -----
The problem begins, "
A trailer carries 3, 4 and 5 crates on a trip." First of all, the word "and" seems incorrect here --- Do you mean that a single trailer carries 3 crates, or 4 crates, or 5 crates? Or are you trying to say that the trailer capacity is 3 by 4 by 5 --- say each crate is a cubic meter, and the carriage of the trailer is (3 m) x (4 m) x (5 m) = 60 m^3? If this latter is what you want to communicate, the phrasing in the problem does not say anything like this.
Furthermore, I still contend something is wrong with saying both "
Each crate weighs no less than 125 kg" and "
What is the maximum weight of the crates on a single trip?" If there are 60 crates, and if each crate weighs 125 kg or more, this means that 60 x 125 = 7,500 kg is the
minimum weight of a single trip, NOT the
maximum weight. If each crate weighs exactly 125, then 60 crates weigh exactly 7,500, but if each crate weighs, say, 200 kg, then 60 crates would weight 12,000. In general, if the crates weigh more than 125 kg, the trailer will weigh more than 7,500 kg, so 7,500 is a minimum weight, not a maximum weight.
Finally, on the GMAT, numerical answer choices are always written in ascending order. Also, on the GMAT, numbers over 1000 always have commas. It's actually one of the telltale signs of a shoddy GMAT prep source that the numerical answer choices are not in the proper order & format.
If I understand what you are trying to communicate, here is, I believe, the question you were originally trying to pose. I actually chose to make 125 a maximum weight for the crates, not a minimum weight, as this seems more realistic.
A trailer has dimensions of (3 m) x (4 m) x (5 m). The crates are all (1 m)^3 in dimensions, and each one weigh no more than 125 kg. What is the maximum possible weight of the crates when the trailer is full loaded?
(A) 375
(B) 600
(C) 625
(D) 1,250
(E) 7,500This is now a clear and well-defined question. Is this, in essence, the question you were originally trying to ask?
Mike
_________________
Mike McGarry
Magoosh Test Prep