How many even integers lie between numbers N1 and N2? (1) N2 = 15 +

Question

How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

( Inspired by a Bunuel Question )

u1983 · Answer

Statement 1 ==> N2-N1=15, when N1=1 & N2=16 #even integers= 7
 Case 01 : when N1=1 & N2=16 #even integers= 7
 Case 02 : when N1=0 & N2=15 #even integers= 7
 Case 03 : when N1=-1 & N2=14 #even integers= 6 ( as 0 is neither even nor odd integer)....................Thus not Sufficient

Statement 2 ==> N1 is negative while N2 is positive. ........................................Not Sufficient as there could be any number of even integers 0 to infinite .... depending on the values of N1 & N2

But Statement 1 & 2 ...... Clearly limits the set. there will be always 6 even integers ( refer cases of statement 1)..... Thus Sufficient..... Hence I would go for option C.

PKN · Answer

Hi u1983 , In GMAT, Zero is even. You may go through the below thread for more clarity. https://gmatclub.com/forum/is-zero-even-84800.html As per OG: Any integer that is divisible by 2 is an even integer; the set of even integers is {. . . −4, −2, 0 , 2, 4, 6, 8, . . .} . Integers that are not divisible by 2 are odd integers; {. . . −3, −1, 1, 3, 5, . . .} is the set of odd integers.

LevanKhukhunashvili · Answer

You have to brush up the concept:
Even is an integer which is evenly divisible by 2, 0 is evenly divisible by 2, thus 0 is an even integer but the only one which doesn't have +- nature

As for me I would vote for answer  A

Mo2men · Answer

Hi amanvermagmat It seems you either want to compete with Bunuel or join GMAC team

It is really good question as always. The question is full of traps. 1- Because the question ask for even Integers, N1 & N2 are not mandatory to be integers. 2- The question does not mention 'inclusive'. I do not know if it a mistake or not but if N1 or N2 is integers, I will not take them into consideration. (2) N1 is negative while N2 is positive. Clearly no numbers to use. Insufficient (1) N2 = 15 + N1 Let N1= -2 then N2=13 ......N1 & N2 are not inclusive .......So Even integers (0, 2, 4, 6, 8, 10, 12).........7 integers Let N1= -2.5 then N2=12.5 ......N1 & N2 are not inclusive .......So Even integers (-2, 0, 2, 4, 6, 8, 10, 12).........8 integers Insufficient Combine 1 & 2 Use same examples.............No clear answer Insufficient Answer: E

PKN · Answer

Question stem:-No even integers between the numbers N1 & N2=?

Given:- N1 & N2 are  numbers .

St1:- N2 = 15 + N1
Or, N2-N1=15
Or, On the number line, the distance between N2 and N1 is 15.

No of even integers between N1 and N2 is 7, when N1 and N2 are integers.
No of even integers between N1 and N2 is 8, when N1 and N2 are not integers. (In case of decimals)

hence, insufficient.

St2:- N1 is negative while N2 is positive
There are numerous possibilities of even integers between N1 and N2.
Hence, insufficient.

Combining, there is no better taste, no added info.

So, insufficient.

Ans. (E)

u1983 · Answer

Thanks  PKN ....... I will be extra careful from the next time

u1983 · Answer

That is so true @LevanKhukhunashvili...............I really need to

Harsh07112001 · Answer

NOT ONLY IN GMAT BUT IN GENERAL MATHS 0 is even. Hi u1983 , In GMAT, Zero is even. You may go through the below thread for more clarity. https://gmatclub.com/forum/is-zero-even-84800.html As per OG: Any integer that is divisible by 2 is an even integer; the set of even integers is {. . . −4, −2, 0 , 2, 4, 6, 8, . . .} . Integers that are not divisible by 2 are odd integers; {. . . −3, −1, 1, 3, 5, . . .} is the set of odd integers.

How many even integers lie between numbers N1 and N2? (1) N2 = 15 +

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