If r and s are consecutive even integers, is r greater than s ?

Question

(1) r is prime.
(2) rs > 0

niks18 · Answer

Is  r>s ?

Statement 1:   r=2 => s=0  or  4 . so  r  can be greater or less than  s .  Insufficient

Statement 2:  both  r  &  s  are either positive or negative. but we don't know their values.  Insufficient

Combining 1 & 2 we know  r=2  and  s  cannot be  0 . hence  s=4  so  r<s .  Sufficient

Option  C

GMATinsight · Answer

Question  : Is r > s?

Statement 1:  r is prime. 
i.e. r = 2, But s may be either 0 (less than r) or 4 (Greater than r) hence
NOT SUFFICIENT

Statement 2:  rs > 0 
i.e. either both r and s are Positive or both r and s are Negative, Also no-one of r and s is ZERO but comparison between r and s can't be established hence
NOT SUFFICIENT

COmbining the two statements  
r = 2 now s can't be 0 because their product is greater than 0
hence s must be 4 (because r and s are consecutive even Integers)

i.e. r < s SUFFICIENT

Answer: Option C

torto · Answer

when the statement says even consecutive integers. arent we supposed to assume r=2. how is r=0

zero is not even

niks18 · Answer

Hi  torto ,

Can you clarify what is your query and where you are assuming r=0?

as far as 0 is concerned, 0 is an even integer.

GMATBusters · Answer

Zero is an even number. It is evenly divisible by 2.

torto · Answer

I thought zero is not an even integer

--

chetan2u · Answer

0 is even as it is divisible by 2.. 0/2=0
...-6,-4,-2,0,2,4,6...
BUT 0 is neither positive nor negative....
so when we say x is non negative, x could be 0 or more
and if x is non positive , it could be 0 or less

Bunuel · Answer

ZERO:

1. 0 is an integer.

2. 0 is an even integer. An even number is an   integer   that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

For more check below:
 ALL YOU NEED FOR QUANT ! ! ! 
 Ultimate GMAT Quantitative Megathread

Hope it helps.

If r and s are consecutive even integers, is r greater than s ?

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GMAT Data Sufficiency (DS) Questions

If r and s are consecutive even integers, is r greater than s ?

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