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Is there a difference between (D) and (E) in the ques below? [#permalink]

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15 Feb 2007, 07:23

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A

B

C

D

E

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Is there a difference between (D) and (E) in the ques below? Does the order of the sign matter?

Q. If the sum of two integers is 6, then it must be true that
(A) both integers are even
(B) both integers are odd
(C) both integers are positive
(D) if one integer is negative, the other is positive
(E) if one integer is positive, the other is negative

sum of two int = 6
(1,5), (3,3) Negates A
(2,4) Negates B
(-1,7), (-2,8), (-3,9),... Negates C

And options D E look similar to me.

And I did not get any answer to my previous ques i posted in a separate thread. Please help with that too. Below is the link.

If one interger is negative, lets say, -10 the other one MUST be positive +16 to have a value of 6. There is no other way to get a positive value of 6.

Now in E, if one interger is positive, the other figure NEED NOT BE necessarily negative.... 2+4=6, the other option for this one is 10-4=6... Two possible scenarios, thus E is out....

If one is -ve, then the other has to be +ve to give a +ve result. eg: -1,7 or 8,-2. The order does not matter.
But, if one is +ve, the other need not be -ve.eg:5,1

wow! pretty good explanations SimaQ and Sumithra. Didnt think that way. Yes that does ans to my this ques. Thanks
But I am still looking for a solution for my below mentioned ques

Q. [x] is the greatest integer less than or equal to the real number x. How many natural numbers n satisfy the equation [n ^(1/2) ] = 17?
#17
#34
#35
#36
#38

n can have values btw 17*17 = 289 and 18*18-1 = 323

323-289 = 34

Remark:
It's not difficult do subtract these two numbers, but on all basic mathematical calculations, when you calculate unit digit of a solution, check the given answers.

If there is only one answer with that unit digit, don't bother to calculate thens or hundreds

So when you calculate 13-9 = 4 its obvious that 34 is the solution

Thanks for your reply jvujuc but I didnt get the question at the first place. What are we trying to calculate? how did you get 18*18-1? Please explain. Thanks

jvujuc wrote:

n can have values btw 17*17 = 289 and 18*18-1 = 323

323-289 = 34

Remark: It's not difficult do subtract these two numbers, but on all basic mathematical calculations, when you calculate unit digit of a solution, check the given answers.

If there is only one answer with that unit digit, don't bother to calculate thens or hundreds

So when you calculate 13-9 = 4 its obvious that 34 is the solution