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25 Oct 2022, 09:27
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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:
45%
(medium)
Question Stats:
62% (01:56) correct
38%
(01:59)
wrong
based on 115
sessions
History
Date
Time
Result
Not Attempted Yet
25 Oct 2022, 09:40
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The question can be translated to : Is the distance between 'a' and 'b' is less than the distance between 'a' and 'c' or Is 'a' closer to 'b' on a number line that it is to 'c'
Statement 1
a > 0
We know that 'a' lies to the right of 0 in a number line, but there is no information on the position of 'b' or of 'c'. Hence this statement will not help us get the answer to the question, and we can eliminate option A and option D.
Statement 2
|b| < |c|
Alright, this statement tells that the distance between 0 and 'b' is less than the distance between 0 and 'c'. In other words 'b' is closer to 0 on the number line than 'c' is. However, we do not know the position of 'a'.
Let consider two cases
Case 1
------A-----B----0--------------C-------
In this case 'a' is closer to 'b' than it is to 'c'.
Case 2
----------B----0--------------C-----A-
In this case 'a' is closer to 'c' than it is to 'b'.
Hence we can eliminate option B.
Combining
Combining doesn't help either as we still don't know the position of 'a' with respect to 'b' and 'c'. All we know from Statement 1 is that 'a' lies to the right of 0 in the number line, but the relative position is still not known. To visualize this consider the following cases -
Case 1
-----------B----0-A------------C-------
In this case 'a' is closer to 'b' than it is to 'c'.
Case 2
---------B----0--------------C-----A-
In this case 'a' is closer to 'c' than it is to 'b'.
Hence E
Statement 1
a > 0
We know that 'a' lies to the right of 0 in a number line, but there is no information on the position of 'b' or of 'c'. Hence this statement will not help us get the answer to the question, and we can eliminate option A and option D.
Statement 2
|b| < |c|
Alright, this statement tells that the distance between 0 and 'b' is less than the distance between 0 and 'c'. In other words 'b' is closer to 0 on the number line than 'c' is. However, we do not know the position of 'a'.
Let consider two cases
Case 1
------A-----B----0--------------C-------
In this case 'a' is closer to 'b' than it is to 'c'.
Case 2
----------B----0--------------C-----A-
In this case 'a' is closer to 'c' than it is to 'b'.
Hence we can eliminate option B.
Combining
Combining doesn't help either as we still don't know the position of 'a' with respect to 'b' and 'c'. All we know from Statement 1 is that 'a' lies to the right of 0 in the number line, but the relative position is still not known. To visualize this consider the following cases -
Case 1
-----------B----0-A------------C-------
In this case 'a' is closer to 'b' than it is to 'c'.
Case 2
---------B----0--------------C-----A-
In this case 'a' is closer to 'c' than it is to 'b'.
Hence E
13 Mar 2023, 11:26
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Each statement is clearly not sufficient on its own.
Choose smart numbers:
Option 1. a = 4, b = 3, c = 6 => RHS > LHS
Option 2. a = 4, b = - 3, c = 6 => LHS > RHS
So, answer is E
Choose smart numbers:
Option 1. a = 4, b = 3, c = 6 => RHS > LHS
Option 2. a = 4, b = - 3, c = 6 => LHS > RHS
So, answer is E
