How many of the integers between 25 and 45 are even?

Question

(A) 21
(B) 20
(C) 11
(D) 10
(E) 9

nkin · Accepted Answer

Number of even numbers between 26 and 44, both inclusive =  \frac{(44-26)}{2}  + 1 = 10

Option D

BrentGMATPrepNow · Answer

Given how quickly one can list/count the even integers between 25 and 45, students should not dismiss this approach.
We get:   26, 28, 30, 32, 34, 36, 38, 40, 42, 44

We get 10 such values.

Answer: D

Cheers,
Brent

dave13 · Answer

Since the question isn't asking inclusive and 35 and 45 are odd numbers i simply deducted 25 from 45 and divided by 2 and got 10 (TEN

)

Gmat2Cracker · Answer

sol-
(45+25)/2 =10
Answer- (D)

Shrey9 · Answer

How many of the integers between 25 and 45 are even?

(A) 21 
(B) 20 
(C) 11 
(D) 10 
(E) 9

There are two ways to calculate this-

Inclusive and non- inclusive
for inclusive, we add 1 to the total (after dividing it by 2).. and for non-inclusive, we don't need to add anything, just divide by 2 (for even)

1st way non-inclusive, i.e. the staring and end number is odd, therefore, we don't have to add 1 to the total 
45-25 = 20 total numbers
20/2 (for even) = 10 option D

Or

2nd way for inclusive,

44-26 = 18 total numbers, (as starting and end numbers are even)
18/2 (for even) = 9+1 (for inclusive ) = 10 option D

dcummins · Answer

(44-26)/2 +1 (to count the ends) =9+1 =10

Kinshook · Answer

Asked: How many of the integers between 25 and 45 are even?

Permissible numbers = {26,28,.....44}
Number of even integers = (44-26)/2 + 1 = 10

IMO D

kungfury42 · Answer

First even number = 26 = 2*13
Last even number = 44 = 2*22
Total even numbers = 22-13+1 = 10
Hence, D.

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

How many of the integers between 25 and 45 are even?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

How many of the integers between 25 and 45 are even?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards