Physicians often estimate the adult height \(c\), in inches, of a female child by using the inequalities
\(\frac{m+f-13.2}{2}\leq c \leq \frac{m+f-2.8}{2}\)
where \(m\) represents the mother's adult height and \(f\) represents the father's adult height, both measured in inches. If Rachel is a 5-year-old girl, what is her maximum adult height that will satisfy these inequalities?
1. Rachel's height at age 5 is 44 inches.
2. Rachel's mother's adult height is 62 inches and Rachel's father's adult height is 71 inches.
The OA is B
Source: GMAT Prep
Physicians often estimate the adult height \(c\), in inches,
This topic has expert replies
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Given \(\frac{m+f-13.2}{2}\leq c \leq \frac{m+f-2.8}{2}\), we find that the estimated adult height of a female child is a function of mother's and father's heights and is not a function of female child's current height; thus, Statement 1 is of no use. We see that Statement 2 provides the required data, thus, it is sufficient to answer the question.swerve wrote:Physicians often estimate the adult height \(c\), in inches, of a female child by using the inequalities
\(\frac{m+f-13.2}{2}\leq c \leq \frac{m+f-2.8}{2}\)
where \(m\) represents the mother's adult height and \(f\) represents the father's adult height, both measured in inches. If Rachel is a 5-year-old girl, what is her maximum adult height that will satisfy these inequalities?
1. Rachel's height at age 5 is 44 inches.
2. Rachel's mother's adult height is 62 inches and Rachel's father's adult height is 71 inches.
The OA is B
Source: GMAT Prep
Maximum height a female child can attain = \(\frac{m+f-2.8}{2} = \frac{71+62-2.8}{2}\) = a unique value. Suffiicent.
The correct answer: B
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: GMAT Manhattan | GRE Prep Courses Austin | ACT Tutoring Tampa | Chicago IELTS Tutoring | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
-
- Legendary Member
- Posts: 2214
- Joined: Fri Mar 02, 2018 2:22 pm
- Followed by:5 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
$$\frac{\left(m+f-13.2\right)}{2}\le c\le\frac{\left(m+f-2.8\right)}{2}$$
m = mother's adult height
f = father's adult height
c = adult's height
Statement 1: Rachel height at age 5 was 44 inches. The inequality given does not require child's height. Hence, statement 1 is NOT SUFFICIENT
Statement 2: Rachel's mother's adult height is 62 inches and Rachel's father's adult height is 71 inches.
m = 62 inches, f = 71 inches
Since the greater part of the inequality is
$$\frac{\left(m+f-2.8\right)}{2},$$
we can get the minimum adult height <c>;
$$c=\frac{\left(m+f-2.8\right)}{2}$$
$$c=\frac{62+71-2.8}{2}\ \ =\ 65.1$$
Statement 2 alone is SUFFICIENT. The correct answer is option B
m = mother's adult height
f = father's adult height
c = adult's height
Statement 1: Rachel height at age 5 was 44 inches. The inequality given does not require child's height. Hence, statement 1 is NOT SUFFICIENT
Statement 2: Rachel's mother's adult height is 62 inches and Rachel's father's adult height is 71 inches.
m = 62 inches, f = 71 inches
Since the greater part of the inequality is
$$\frac{\left(m+f-2.8\right)}{2},$$
we can get the minimum adult height <c>;
$$c=\frac{\left(m+f-2.8\right)}{2}$$
$$c=\frac{62+71-2.8}{2}\ \ =\ 65.1$$
Statement 2 alone is SUFFICIENT. The correct answer is option B