I saw the posting here https://www.beatthegmat.com/og-ps-234-t8849.html, but had a question on it, so I'm starting a new topic. Hope that's ok.
The problem reads: In a certain game, a large container is filled with red, yellow, green and blue beads worth, respectively 7,5,3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
(A) 5 (B)4 (C)3 (D)2 (E) 0
The official answer states that the red beads represent factors of 7 in the final point score so all you have to do is figure out how many times you can divide 147 000 by 7 evenly. Which is twice. So there must be 2 red beads removed.
My problem with this answer is that would assume that the number of yellow, green or blue beads removed are not multiples of 7.2 is a possible answer, but why is it the ONLY possible answer?
As I understand the problem, we are saying that 147000 = 7R5Y3G2B, where R is the number of red removed, Yis the number of yellow removed, G is green and B is blue.
So 147000=210RYGB.
RYGB = 700
All we need are 4 numbers that have a product of 700. R cannot be 0 and it cannot be 3 because those numbers do not divide evenly into 700. But why R=5, Y=2, G=10, B=7 or R=4, Y=5, G=5, B=7? Or, if we are not restricted by the answer choices: R=700, Y=1, G=1, B=1?
Thanks in advance for the help, it's driving me crazy.
The problem reads: In a certain game, a large container is filled with red, yellow, green and blue beads worth, respectively 7,5,3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
(A) 5 (B)4 (C)3 (D)2 (E) 0
The official answer states that the red beads represent factors of 7 in the final point score so all you have to do is figure out how many times you can divide 147 000 by 7 evenly. Which is twice. So there must be 2 red beads removed.
My problem with this answer is that would assume that the number of yellow, green or blue beads removed are not multiples of 7.2 is a possible answer, but why is it the ONLY possible answer?
As I understand the problem, we are saying that 147000 = 7R5Y3G2B, where R is the number of red removed, Yis the number of yellow removed, G is green and B is blue.
So 147000=210RYGB.
RYGB = 700
All we need are 4 numbers that have a product of 700. R cannot be 0 and it cannot be 3 because those numbers do not divide evenly into 700. But why R=5, Y=2, G=10, B=7 or R=4, Y=5, G=5, B=7? Or, if we are not restricted by the answer choices: R=700, Y=1, G=1, B=1?
Thanks in advance for the help, it's driving me crazy.
