It is currently 19 Nov 2019, 05:22

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Ray is 2 inches taller than Lin, and Ray is 3 inches taller

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 8780
Followers: 175

Kudos [?]: 2044 [0], given: 8095

Ray is 2 inches taller than Lin, and Ray is 3 inches taller [#permalink]  06 Nov 2018, 14:16
Expert's post
00:00

Question Stats:

65% (01:25) correct 34% (00:47) wrong based on 46 sessions

Ray is 2 inches taller than Lin, and Ray is 3 inches taller than Sam.

 Quantity A Quantity B The average (arithmetic mean) height of Ray, Lin, and Sam The median height of Ray, Lin, and Sam

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

GRE Instructor
Joined: 10 Apr 2015
Posts: 2569
Followers: 91

Kudos [?]: 2731 [1] , given: 40

Re: Ray is 2 inches taller than Lin, and Ray is 3 inches taller [#permalink]  08 Nov 2018, 08:39
1
KUDOS
Expert's post
Carcass wrote:
Ray is 2 inches taller than Lin, and Ray is 3 inches taller than Sam.

 Quantity A Quantity B The average (arithmetic mean) height of Ray, Lin, and Sam The median height of Ray, Lin, and Sam

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Let's write all heights in terms of Ray's height.

Let R = Ray's height (in inches)
So, R - 2 = Lin's height
And R - 3 = Sam's height

Average height = [R + (R-2) + (R-3)]/3
= [3R - 5]/3
= 3R/3 - 5/3
= R - 5/3

To find the median height, arrange heights in ASCENDING ORDER: R-3, R-2, R
So, the median height = R-2

So, we get:
QUANTITY A: R - 5/3
QUANTITY B: R - 2

Subtract R from both quantities to get:
QUANTITY A: -5/3
QUANTITY B: -2

Since -5/3 is greater than -2, the correct answer is A

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Intern
Joined: 04 Nov 2018
Posts: 44
Followers: 0

Kudos [?]: 6 [0], given: 8

Re: Ray is 2 inches taller than Lin, and Ray is 3 inches taller [#permalink]  09 Nov 2018, 14:30

Ray= 2+Lin's age
Ray= 3+Sam's age
If Lin is aged 6 then Ray is 8 which means Sam (8-3) is 5
Quant A=5+6+8=(20/3)= 6+
Quant B=6 is the median
So Quant A is greater

Please share if there is an easier way to solve this.
Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 8

Kudos [?]: 137 [0], given: 4

Re: Ray is 2 inches taller than Lin, and Ray is 3 inches taller [#permalink]  09 Nov 2018, 19:20
Expert's post
Carcass wrote:
Ray is 2 inches taller than Lin, and Ray is 3 inches taller than Sam.

 Quantity A Quantity B The average (arithmetic mean) height of Ray, Lin, and Sam The median height of Ray, Lin, and Sam

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

2 inches and 3 inches more means the lower two heights are consecutive integers.But the third height is not consecutive but slightly more..
Had the third height too been consecutive, both median and mean would be EQUAL.
Because the third number is not consecutive but slightly more, the mean will be greater .

You can check with values..
x,x+1,X+3...
Median is x+1
Mean is x+$$\frac{4}{3}$$
So A is more.
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: Ray is 2 inches taller than Lin, and Ray is 3 inches taller   [#permalink] 09 Nov 2018, 19:20
Display posts from previous: Sort by