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0, which of

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arraj

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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

mehul2494

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18 Mar 2024, 15:51

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Mo2men

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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

Bunuel

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19 Mar 2024, 00:11

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mehul2494

Mo2men

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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

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.

belro

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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

choton96

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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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