If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y : Problem Solving (PS)

saruba

Current Student

Joined: 13 Jul 2009

Posts: 116

Location: Barcelona

Schools:SSE

If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

03 Sep 2009, 04:15

3

Kudos

17

Bookmarks

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

37% (00:46) correct

63% (00:43) wrong

based on 123 sessions

Hide Show timer Statistics

If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y?

A. 4
B. 13
C. 14
D. 15
E. 16

Show Answer

Official Answer

Official Answer and Stats are available only to registered users. Register/Login.

fmdc

Intern

Joined: 03 Sep 2009

Posts: 1

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

03 Sep 2009, 12:25

2

Kudos

why is this not 14? 8+6?

saurabhricha

Intern

Joined: 24 Aug 2009

Posts: 21

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

03 Sep 2009, 12:44

1

Kudos

fmdc wrote:

why is this not 14? 8+6?

Because greatest integer value of x+y comes when x=6.5 and y =8.5
x+y = 6.5+8.5 = 15

L

chetan2u

RC & DI Moderator

Joined: 02 Aug 2009

Status:Math and DI Expert

Posts: 11123

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

03 Sep 2009, 12:47

Expert Reply

it is 15 and not 14 because we r not told x and y r integers themselves therefore their value can be 6.9 and 8.9 also.... ie x+y<9+7
i hope it helped
_________________

1. Absolute modulus:. 2. Fractions: 3. Percentage increase: 4. Combinations:

Signature Read More

risys82

Manager

Joined: 15 Aug 2009

Posts: 66

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

Updated on: 16 Sep 2009, 11:14

If the x and y can be 6.9 and 8.9, then the sum would 15.8, which would round up to 16? Or are we assumed to round down?

Originally posted by risys82 on 14 Sep 2009, 02:17.
Last edited by risys82 on 16 Sep 2009, 11:14, edited 1 time in total.

saurabhricha

Intern

Joined: 24 Aug 2009

Posts: 21

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

14 Sep 2009, 04:19

1

Kudos

risys82 wrote:

If the x and y can be 6.9 and 8.9, then the sum would 15.8, which would round up to 16? Or are we assumed to round down? Or am I missing the point?

We can do round off if we are asked the approximate value in the question. But in this case, we are asked to find the "greatest integer value" and there is no mention of approximation in the question.

srivas

Manager

Joined: 27 Oct 2008

Posts: 97

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

16 Sep 2009, 10:52

x = 6.5 and y = 8.5.
x + y = 15
Hence , 15 it is.

rlevochkin

Manager

Joined: 03 Nov 2005

Posts: 149

Location: Chicago, IL

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

18 Sep 2009, 12:34

Solution:

1+2<x+y<7+9;

3<x+y<15

x+y has to be an integer that is less than 15, the next largest to 15 is 14.

cano

BSchool Moderator

Joined: 19 Feb 2010

Posts: 271

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

18 Sep 2010, 07:34

Interesting question.
If you put the possible answers, probably we could have fallen for the trap more easily.

LJ

Intern

Joined: 07 Jun 2009

Status:Getting ready for the internship summer

Posts: 25

Location: Rochester, NY

Schools:Simon

WE 1: JPM - Treasury

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

18 Sep 2010, 10:44

cano wrote:

Interesting question.
If you put the possible answers, probably we could have fallen for the trap more easily.

Also don't put tricky in the subject of the thread. :wink:

This is the type of question everyone needs to practice on so they understand there can be questions where there is a distinct difference between available inputs and outputs.

B

nagu

Intern

Joined: 28 Sep 2017

Posts: 18

Location: India

Concentration: Technology, General Management

GPA: 3.5

WE:Information Technology (Computer Software)

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

01 Oct 2017, 01:56

15 should be answer
x= 6.99999999999999999
y = 8.9999999999999999
when adding up integer value should be 15

B

BigUD94

Intern

Joined: 28 Aug 2016

Posts: 19

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

17 Nov 2017, 11:38

Since they've asked for the largest integer value hence it would be, 6.5+8.5= 15

samarthsurana

Intern

Joined: 13 Nov 2017

Posts: 1

Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y [#permalink]

18 Nov 2017, 06:15

2

Kudos

1

Bookmarks

If you add both the inequalities you will get the largest possible integer value as 15 only.

1<x<7
+ 2<y<9
----------
3<x+y<16
----------

Hence, the largest possible integer value is 15

B

mamun09

Intern

Joined: 06 May 2019

Posts: 1