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In a sample of 800 high school students in which all students are eith

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In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 31 Jul 2016, 04:16
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Question Stats:

69% (02:13) correct 31% (02:43) wrong based on 159 sessions

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In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?

A. 42
B. 48
C. 56
D. 208
E. 256

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Re: In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 31 Jul 2016, 05:28
0.32*800- 0.26*800=48
Answer B

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Re: In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 31 Jul 2016, 10:03
Sophomores= 26%
Juniors = 22%
Seniors = 160/800 =20%
Total: 68%
1-68%=32% (Freshmen)

0,32*800-0,26*800=256-208=48.
Answer choice B
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Re: In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 03 Aug 2016, 10:36
SO F J SE
592 176 160 800
208 256 176 160 800

22%*800=176 J
74%*800=592
592 - 160 SE - 176 J = 256F

SO = 208
F = 256
J = 176
SE = 160

48
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Re: In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 02 Oct 2016, 04:38
1
To solve this problem one needs to understand that students can fit into any one of the four categories
Total students = 800
22% are juniors = .22 * 800 = 176
74 % are not sophomores which means that 26 % are sophomores
26 % sophomores = .26 * 800 = 208
160 students are seniors
freshmen are 800 - 208 - 160 - 176 = 256
we are asked to find how many more freshmen than sophomores are there among the sample of students
256 - 208 = 48 students
Correct answer - B
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Re: In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 06 May 2017, 19:42
Bunuel wrote:
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors,how many more freshmen than sophomores are there among the sample of students?
A. 42
B. 48
C. 56
D. 208
E. 256



Bunuel

isn't the question should ask "how many more sophomores than fisherman are there"??

please correct my understanding :roll:
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Re: In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 07 May 2017, 01:30
rohit8865 wrote:
Bunuel wrote:
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors,how many more freshmen than sophomores are there among the sample of students?
A. 42
B. 48
C. 56
D. 208
E. 256



Bunuel

isn't the question should ask "how many more sophomores than fisherman are there"??

please correct my understanding :roll:


TOTAL = 800;

Juniors = 800*0.22 = 176;
Seniors = 160;
Sophomores = 800*(1 - 0.74) = 208;
Freshmen = 800 - (176 + 160+ 208) = 256.

How many more freshmen than sophomores are there: Freshmen - Sophomores = 256 - 208 = 48.

Answer: B.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Posts: 52
Re: In a sample of 800 high school students in which all students are eith  [#permalink]

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New post 07 May 2017, 02:15
juniors = 0.22 * 800 = 176
26 % sophomores = .26 * 800 = 208
Seniors = 160
reshmen are 800 - 208 - 160 - 176 = 256
256-208=48
Re: In a sample of 800 high school students in which all students are eith &nbs [#permalink] 07 May 2017, 02:15
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