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26 Nov 2019, 02:05
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
39% (02:03) correct
61%
(01:51)
wrong
based on 199
sessions
History
Date
Time
Result
Not Attempted Yet
The difference between integers a and b is 7, and a > b. What is a?
(1) \(a^b=1\)
(2) \(ab \geq 0\)
Are You Up For the Challenge: 700 Level Questions
(1) \(a^b=1\)
(2) \(ab \geq 0\)
Are You Up For the Challenge: 700 Level Questions
26 Nov 2019, 03:14
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a-b=7
Statement 1-
Case 1- a=7 and b=0
Case 2- a=1 and b=-6
Case 3 a=-1 and b=-8
Insufficient
Statement 2-
Case 1- a=7 and b=0
Case 2- a=-1 and b=-8
Insufficient
Even after combining both equations, a can be 7 or -1
Insufficient
Statement 1-
Case 1- a=7 and b=0
Case 2- a=1 and b=-6
Case 3 a=-1 and b=-8
Insufficient
Statement 2-
Case 1- a=7 and b=0
Case 2- a=-1 and b=-8
Insufficient
Even after combining both equations, a can be 7 or -1
Insufficient
Bunuel
26 Nov 2019, 05:04
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Bunuel
a>b: a-b=7
(1) \(a^b=1\) insufic
\(a^b=1:1^{any}=1…a=1,b=a-7=1-7=-6…(a,b)=(1,-6)…(a>b)\)
\(a^b=1:(-1)^{even}=1…a=-1,b=a-7=-1-7=-8…(a,b)=(-1,-8)…(a>b)\)
\(a^b=1:{any}^{0}=1…b=0…a=7+0=7…(a,b)=(7,0)…(a>b)\)
(2) \(ab \geq 0\) insufic
\((a,b)=(same.sign;or,0)\)
(1&2) insufic
\(a^b=1:(-1)^{even}=1…a=-1,b=a-7=-1-7=-8…(a,b)=(-1,-8)…(a>b)\)
\(a^b=1:{any}^{0}=1…b=0…a=7+0=7…(a,b)=(7,0)…(a>b)\)
Ans (E)
