Fractions, ratio and decimals

This topic has expert replies
Moderator
Posts: 772
Joined: Wed Aug 30, 2017 6:29 pm
Followed by:6 members

Fractions, ratio and decimals

by BTGmoderatorRO » Mon Sep 18, 2017 1:36 pm
In Mr. Smith's class, what is the ratio of the number of boys to the number of girls?
(1) There are 3 times as many girls as boys in Mr. Smith's class.
(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.

a. None of the statement is sufficient
b. only statement 1 is sufficient
c. statement 1 and 2 are sufficient
d. statement 2 is not sufficient
e. statement 2 is sufficient and statement 1 is insufficient

QA is c.

why is statement 2 wrong?

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Mon Sep 18, 2017 1:41 pm
Roland2rule wrote:In Mr. Smith's class, what is the ratio of the number of boys to the number of girls?

(1) There are 3 times as many girls as boys in Mr. Smith's class.
(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.
Target question: What is the ratio of the number of boys to the number of girls?

Statement 1: There are 3 times as many girls as boys in Mr. Smith's class.
This means there are 3 girls for every 1 boy
So, the ratio of the number of boys to the number of girls = 3 : 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.
So, for every 4 children there are 3 girls and 1 boy
So, the ratio of the number of boys to the number of girls = 3 : 1
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Mon Sep 18, 2017 1:42 pm
Roland2rule wrote:In Mr. Smith's class, what is the ratio of the number of boys to the number of girls?
(1) There are 3 times as many girls as boys in Mr. Smith's class.
(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.

a. None of the statement is sufficient
b. only statement 1 is sufficient
c. statement 1 and 2 are sufficient
d. statement 2 is not sufficient
e. statement 2 is sufficient and statement 1 is insufficient

QA is c.

why is statement 2 wrong?
Hey Roland2rule,

You have posted incorrect answers to several questions.
Please look at the answer key before posting more incorrect answers.


Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image