Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 03:20 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If m is an even integer, v is an odd integer, and m > v> 0, which of

Author Message
TAGS:

### Hide Tags

VP  G
Joined: 09 Mar 2018
Posts: 1002
Location: India
If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

### Show Tags

carcass wrote:
If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?

A. $$\frac{m-v}{2} -1$$

B. $$\frac{m-v-1}{2}$$

C. $$\frac{m-v}{2}$$

D. $$m-v-1$$

E. $$m-v$$

Let m = 4 and v = 3

Always remember to check all the values, if in some case you find 2 options satisfying the values take another value and we should be good.

4>3>0, here the number of even integers less than m and greater than v = 0

Put back the values in the answer options

We can get a zero from B and D, Now we will to test for some other value for m and v

m = 8 v = 1

8>1>0, number of even integers less than m and greater than v = 3

(8-1-1)/2 = 3

D says there are 6 such values

So B wins.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Originally posted by KanishkM on 07 Feb 2019, 22:03.
Last edited by KanishkM on 07 Feb 2019, 22:53, edited 1 time in total.
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3079
If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

### Show Tags

1
KanishkM wrote:
carcass wrote:
If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?

A. $$\frac{m-v}{2} -1$$

B. $$\frac{m-v-1}{2}$$

C. $$\frac{m-v}{2}$$

D. $$m-v-1$$

E. $$m-v$$

Let m = 4 and v = 3

4>3>0, here the number of even integers less than m and greater than v = 0

Put back the values in the answer options

We can get a zero from B

Always remember to check all the values, if in some case you find 2 options satisfying the values take another value and we should be good.

KanishkM , with those choices, we also get a zero from option D.
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
VP  G
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

### Show Tags

generis wrote:
KanishkM wrote:
carcass wrote:
If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?

A. $$\frac{m-v}{2} -1$$

B. $$\frac{m-v-1}{2}$$

C. $$\frac{m-v}{2}$$

D. $$m-v-1$$

E. $$m-v$$

Let m = 4 and v = 3

4>3>0, here the number of even integers less than m and greater than v = 0

Put back the values in the answer options

We can get a zero from B

Always remember to check all the values, if in some case you find 2 options satisfying the values take another value and we should be good.

KanishkM , with those choices, we also get a zero from option D.

generis,

My reasoning backfired on me I truly agree on that , said that,i have done the amendments.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3079
If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

### Show Tags

KanishkM wrote:
generis,

My reasoning backfired on me I truly agree on that , said that,i have done the amendments.

KanishkM - mmm, not exactly.
Your reasoning is really solid —including the part
in which you tell us, correctly, that we should check each option. No matter. Mistakes are how we learn.
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
VP  G
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

### Show Tags

generis wrote:
KanishkM - mmm, not exactly.
Your reasoning is really solid —including the part
in which you tell us, correctly, that we should check each option. No matter. Mistakes are how we learn.

generis I fully support your statement.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 4247
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

### Show Tags

carcass wrote:
If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?

A. $$\frac{m-v}{2} -1$$

B. $$\frac{m-v-1}{2}$$

C. $$\frac{m-v}{2}$$

D. $$m-v-1$$

E. $$m-v$$

simply plugin m=6 and v= 3

4 ie. 1 digit even possible >3 <6 so
IMO B
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Senior Manager  P
Joined: 10 Apr 2018
Posts: 270
Location: United States (NC)
Re: If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

### Show Tags

Hi here are my two cents for this questions.

If this question were to be marked based on options here is how i would go about solving it .

Well,
Option A, C can be ruled out for following reason.

$$\frac{odd}{Even}$$ is never Integer and we are looking for how many even integers would there be between v and m excluding m ,

and Option E gives number of integers between v and m, excluding either m or v

Which leaves us with choice B and D

Now choice B and D both gives us integers value but look at choice D . It actually gives us number of integers between v and m excluding both .

So our answer is Choice B

Lets do this algebraically.

if v is odd, then v+1 will be even . and if m is even

So we have number of integers between m and v+1 excluding one of the ends is = $$\frac{m-v-1}{2}$$

So we do have a formula for such type of questions

If we are counting in steps of x , from $$n_1$$ to $$n_z$$ including both end points we get $$\frac{n_z - n_1}{x}$$ +1

If we are counting in steps of x , from $$n_1$$ to $$n_z$$ including only one end points we get $$\frac{n_z - n_1}{x}$$

If we are counting in steps of x , from $$n_1$$ to $$n_z$$ excluding both end points we get $$\frac{n_z - n_1}{x}$$ -1
_________________
Probus

~You Just Can't beat the person who never gives up~ Babe Ruth Re: If m is an even integer, v is an odd integer, and m > v> 0, which of   [#permalink] 18 Mar 2019, 15:55

Go to page   Previous    1   2   [ 27 posts ]

Display posts from previous: Sort by

# If m is an even integer, v is an odd integer, and m > v> 0, which of  