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04 May 2016, 01:52
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C
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Difficulty:
25%
(medium)
Question Stats:
78% (01:08) correct
23%
(01:06)
wrong
based on 80
sessions
History
Date
Time
Result
Not Attempted Yet
If a ≠ 0 and a and b are two points on the number line, is a > b?
(1) a is 4 times as far from zero as b is from zero.
(2) √a is an integer.
(1) a is 4 times as far from zero as b is from zero.
(2) √a is an integer.
04 May 2016, 03:02
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Bunuel
(1) a is 4 times as far from zero as b is from zero.
This just gives us the distance between 0 and a or 0 and b..
it could be a is in -ive territory ..
If a<0, then a<b.
But if a>0, then a>b.
Insuff
(2) √a is an integer.
We just know that a is +ive
Insuff
combined..
a is +ive and farther from 0 than b is..
a>b
suff
C
26 Mar 2022, 06:54
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Bunuel
Great question!!
Target question: Is a > b?
Statement 1: a is 4 times as far from zero as b is from zero.
There are 4 possible general cases that satisfy statement 1:
case a: ------a--------b---0--------------
case b: ------a------------0---b---------
case c: ------0---b----------a-----
case d: ---b---0-----------a----
For cases a and b, the answer to the target question is NO, a is not greater than b
For cases c and d, the answer to the target question is YES, a is greater than b
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: √a is an integer
No information about the value of b.
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that there are 4 possible cases:
case a: ------a--------b---0--------------
case b: ------a------------0---b---------
case c: ------0---b----------a-----
case d: ---b---0-----------a----
Statement 2 tells us that a must be positive, otherwise we can't take the square root of a.
If a is positive, we can eliminate cases a and b.
In cases c and d, we get the SAME answer to the target question: YES, a is greater than b
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
