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555-605 (Medium)|   Number Properties|                     
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arraj
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If m is an even integer, v is an odd integer, and m > v> 0, which of 05 Mar 2024, 00:27
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using arithmetic progression we can solve this.
l = a+(n-1)*d
l = m-2
a= v+1
d=2
m-2 =v+1+2n-2
m-v-3=2n-2
m-v-1/2 =2
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If m is an even integer, v is an odd integer, and m > v> 0, which of 18 Mar 2024, 15:51
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Mo2men

carcass
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 = 10 & v = 1...........There are 4 Even number less than 10 and greater than 1

A. \(\frac{10-1}{2} -1\)= Fraction number....Eliminate

B. \(\frac{10-1-1}{2}\) = 4.........................Keep

C. \(\frac{10-1}{2}\) = Fraction...................Eliminate

D. \(10-1-1\) = 8........................................Eliminate

E. \(10-1\)=9.............................................Eliminate

Answer: B
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­
Hello,
Why are we eliminating option D. Both option B and D are giving us the even integers as per the requirement. Can you explain with examples why we are eliminating D and not choosing B
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If m is an even integer, v is an odd integer, and m > v> 0, which of 19 Mar 2024, 00:11
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mehul2494

Mo2men

carcass
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 = 10 & v = 1...........There are 4 Even number less than 10 and greater than 1

A. \(\frac{10-1}{2} -1\)= Fraction number....Eliminate

B. \(\frac{10-1-1}{2}\) = 4.........................Keep

C. \(\frac{10-1}{2}\) = Fraction...................Eliminate

D. \(10-1-1\) = 8........................................Eliminate

E. \(10-1\)=9.............................................Eliminate

Answer: B
­
Hello,
Why are we eliminating option D. Both option B and D are giving us the even integers as per the requirement. Can you explain with examples why we are eliminating D and not choosing B
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­
If m = 10 and v = 1, the number of even integers between them is four: 2, 4, 6, and 8. Plugging m = 10 and v = 1 into D, m - v - 1, we get 8, not 4. So, D is not correct. 
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belro
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If m is an even integer, v is an odd integer, and m > v> 0, which of 07 Dec 2025, 00:21
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m is even and v is odd. m > v
v + 1 is even
No of even integers between v+1 and m but not including m is [m - (v+1)] / 2
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choton96
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If m is an even integer, v is an odd integer, and m > v> 0, which of 26 Mar 2026, 12:15
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No. of total integers between any 2
integers =
(Larger - Smaller - 1)
Here, Even - Odd - 1 = Even
Now, in some even numbered
consecutive integers, half are even
and the remaining half are odd. So,
No. of even integers = (m-v-1)/2
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Akansha2000
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If m is an even integer, v is an odd integer, and m > v> 0, which of 24 Jun 2026, 06:23
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To find the number of even integers strictly between m (even) and v (odd), we need to identify the actual largest and smallest even integers inside that boundary.

1. Identify the boundaries: Upper limit: The integers must be less than m. Since m is even, the largest even integer less than m is m - 2.Lower limit: The integers must be greater than v. Since v is odd, the smallest even integer greater than v is v + 1.

2. Apply the counting formula:
Now, plug these actual endpoints into the consecutive sequence formula:{Number of Evens} = {(m - 2) - (v + 1)}/{2} + 1

3. Simplify the expression:{Number of Evens} = {m - v - 3}/{2} + 1

{Number of Evens} = {m - v - 1}/{2}

Carcass
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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If m is an even integer, v is an odd integer, and m > v> 0, which of 20 Aug 2026, 04:39
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I actually plugged in consecutive numbers and got the answers as both B and D. Can you explain why this plug-in doesn't work?
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Bunuel
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If m is an even integer, v is an odd integer, and m > v> 0, which of 20 Aug 2026, 05:02
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I actually plugged in consecutive numbers and got the answers as both B and D. Can you explain why this plug-in doesn't work?
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With the plug-in method, sometimes more than one answer choice can give the same result for the numbers you pick. If that happens, just choose another pair of valid numbers and check only those choices.

For example, take m = 4 and v = 1.

There is only one even integer between them: 2.

B: (4 - 1 - 1)/2 = 1
D: 4 - 1 - 1 = 2

So B is correct and D is not.
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