rohit8865 wrote:
chetan2u wrote:
fattty wrote:
ㅣs – tㅣ > ㅣㅣsㅣ - ㅣtㅣㅣ?
1) s + t < 0
2) st < 0
Hi..
when we look at the equation, what stands out is-
1) If both s and t are of same sign, the answer to the Q is NO, as both will be equal.. and suff
2) If both have different signs, answer is YES... SUff..
lets see the choices..
1) s + t < 0
both s and t can be negative.. or both can be of different sign.. insuff
2) st < 0
both s and t are of different sign .. suff as per the condition 20 mentioned above..
B
Chetan
could you please elaborate it for me ...??
Hi Rohit,
lets see what the statement tells us..
ㅣs – tㅣ > ㅣㅣsㅣ - ㅣtㅣㅣ...
1) If both s and t are of same sign, the answer to the Q is NO, as both will be equal.. and sufflets take s as 4 and t as 5..
|4-5|>||4|-|5||..
|-1|>|-1|... 1>1.. NO
lets take them -ive now s=-4 and t=-5..
|-4-(-5)|>||-4|-|-5||..
|1|>|-1|... 1>1.. NO
so whatever values we take for s and t, if they both are of same sign, the two sides will be equal..
so our answer for [b]ㅣs – tㅣ > ㅣㅣsㅣ - ㅣtㅣㅣ is NO.. and thus suff..[/b]
2) If both have different signs, answer is YES... SUff..say s=4 and t=-5..
|4-(-5)|>||4|-|-5||..
|9|>|-1|... 9>1.. yes..
you can take any values for s and t but of different signs , you will always get YES for
ㅣs – tㅣ > ㅣㅣsㅣ - ㅣtㅣㅣ..
so what do we require to know, just that the signs of s and t is same or different and we will be able to answer for
is ㅣs – tㅣ > ㅣㅣsㅣ - ㅣtㅣㅣ?now lets see the statements..
1) s + t < 0We cannot say anything about signs
both s and t can be negative.. or both can be of different sign.. insuff
2) st < 0both s and t are of different sign, then only the product will be <0..
-a*-b= +ab
+a*+b=+ab, but -a*+b=-ab
.. suff as per the condition (2) mentioned above..
I hope it helps