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

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Intern
Joined: 17 Jan 2019
Posts: 1
Re: If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

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07 Feb 2019, 20:57
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. $$m-v$$
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Posts: 960
Location: India
If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

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Updated on: 07 Feb 2019, 21:53
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.
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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, 21:03.
Last edited by KanishkM on 07 Feb 2019, 21:53, edited 1 time in total.
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Joined: 22 May 2016
Posts: 2474
If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

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07 Feb 2019, 21:26
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.
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Most people just exist.

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Posts: 960
Location: India
Re: If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

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07 Feb 2019, 21:54
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
Joined: 22 May 2016
Posts: 2474
If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

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07 Feb 2019, 22:06
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.
_________________

To live is the rarest thing in the world.
Most people just exist.

Oscar Wilde

Director
Joined: 09 Mar 2018
Posts: 960
Location: India
Re: If m is an even integer, v is an odd integer, and m > v> 0, which of  [#permalink]

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07 Feb 2019, 22:13
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

_________________

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.

SVP
Joined: 18 Aug 2017
Posts: 1775
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]

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09 Feb 2019, 00:14
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
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Re: If m is an even integer, v is an odd integer, and m > v> 0, which of   [#permalink] 09 Feb 2019, 00:14

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