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At Bridgewood High School, freshmen, sophomores, juniors, an
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10 Apr 2020, 09:20
10 Apr 2020, 09:20
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At Bridgewood High School, freshmen, sophomores, juniors, and seniors are in the ratio of 3:4:6:7, respectively. Which of the following CANNOT be the total number of students at the school?
A 40
B 80
C 90
D 100
E 140
Kudos for the right answer and explanation
A 40
B 80
C 90
D 100
E 140
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
At Bridgewood High School, freshmen, sophomores, juniors, an
[#permalink]
10 Apr 2020, 14:12
10 Apr 2020, 14:12
1
Carcass wrote:
At Bridgewood High School, freshmen, sophomores, juniors, and seniors are in the ratio of 3:4:6:7, respectively. Which of the following CANNOT be the total number of students at the school?
A 40
B 80
C 90
D 100
E 140
Kudos for the right answer and explanation
A 40
B 80
C 90
D 100
E 140
Kudos for the right answer and explanation
GIVEN: freshmen : sophomores : juniors : seniors = 3:4:6:7
There are infinitely-many cases that satisfy the above ratio.
For example, the school could have 3 freshmen, 4 sophomores, 6 juniors and 7 seniors for a TOTAL of 20 students
Or the school could have 6 freshmen, 8 sophomores, 12 juniors and 14 seniors for a TOTAL of 40 students
Or the school could have 9 freshmen, 12 sophomores, 18 juniors and 21 seniors for a TOTAL of 60 students
Or the school could have 12 freshmen, 16 sophomores, 24 juniors and 28 seniors for a TOTAL of 80 students
.
.
.
etc
As you can see, the TOTAL number of students is is always a multiple of 20
Check the answer choices....only answer choice C (90) is NOT a multiple of 20
Answer: C
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Re: At Bridgewood High School, freshmen, sophomores, juniors, an
[#permalink]
14 Jul 2024, 16:19
14 Jul 2024, 16:19
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
