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In a certain game, a large container is filled with red, yellow, green
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07 Jan 2022, 02:49
07 Jan 2022, 02:49
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Question Stats:
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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
Kudos for the right answer and explanation
See more at this link GRE Tips and Tricks - UPDATED 11/20/2021
(A) 5
(B) 4
(C) 3
(D) 2
(E) 0
Kudos for the right answer and explanation
See more at this link GRE Tips and Tricks - UPDATED 11/20/2021
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Joined: 10 Apr 2015
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Re: In a certain game, a large container is filled with red, yellow, green
[#permalink]
07 Jan 2022, 06:04
07 Jan 2022, 06:04
Carcass wrote:
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
Kudos for the right answer and explanation
See more at this link GRE Tips and Tricks - UPDATED 11/20/2021
(A) 5
(B) 4
(C) 3
(D) 2
(E) 0
Kudos for the right answer and explanation
See more at this link GRE Tips and Tricks - UPDATED 11/20/2021
Let's first find the prime factorization of 147,000....
147,000 = (147)(1,000)
= (3)(49)(1,000)
= (3)(7)(7)(1,000)
= (3)(7)(7)(10)(10)(10)
= (3)(7)(7)(2)(5)(2)(5)(2)(5)
Since there is only one unique way to write 147,000 as the product of prime numbers, we know that:
- three beads worth 2 points each were removed (i.e., three blue beads were removed)
- one bead worth 3 points each were removed (i.e., one green bead was removed)
- three beads worth 5 points each were removed (i.e., three yellow beads were removed)
- two beads worth 7 points each were removed (i.e., two red beads were removed)
Answer: D
gmatclubot
Re: In a certain game, a large container is filled with red, yellow, green [#permalink]
07 Jan 2022, 06:04
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