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19 May 2021, 21:05
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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:
25%
(medium)
Question Stats:
72% (01:21) correct
28%
(01:33)
wrong
based on 87
sessions
History
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Each employee of two offices A and B donated for a charity cause. If the range of the charity amount of office A and the charity amount of office B was $p and $q respectively, is p > q?
(1) The highest amount collected from office A was more than that from office B.
(2) The least amount collected from office A was more than the least amount collected from office B.
(1) The highest amount collected from office A was more than that from office B.
(2) The least amount collected from office A was more than the least amount collected from office B.
19 May 2021, 21:17
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My approach for the question was:
Donations A made: a1........b1
Range p = b1-a1
Donation B made: a2........b2
Range q = b2-a2
Find out p>q? or b1-a1>b2-a2
1) b1>b2 not sufficient
2) a1>a2 not sufficient
1) & 2) all we know is a1+b1>a2+b2.
I know that we can subtract the two inequalities only if the inequality signs are opposite, which in this case they are not. so we can't find out the relation between (b1-a1) and (b2-a2). So the answer is Option E
chetan2u and VeritasKarishma is this approach correct. I marked the answer in a very short time without testing with some numbers. Can you please tell if this could have gone wrong in any situation ?
Donations A made: a1........b1
Range p = b1-a1
Donation B made: a2........b2
Range q = b2-a2
Find out p>q? or b1-a1>b2-a2
1) b1>b2 not sufficient
2) a1>a2 not sufficient
1) & 2) all we know is a1+b1>a2+b2.
I know that we can subtract the two inequalities only if the inequality signs are opposite, which in this case they are not. so we can't find out the relation between (b1-a1) and (b2-a2). So the answer is Option E
chetan2u and VeritasKarishma is this approach correct. I marked the answer in a very short time without testing with some numbers. Can you please tell if this could have gone wrong in any situation ?
19 May 2021, 23:21
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ShreyKapil08
Yes, you are correct...
We can combine the statements and take them on a number line.
Each employee of two offices A and B donated for a charity cause. If the range of the charity amount of office A and the charity amount of office B was $p and $q respectively, is p > q?
Range depend on the largest and the smallest..
\(R_a=p=L_a-S_a\) and \(R_b=q=L_b-S_b\)
(1) The highest amount collected from office A was more than that from office B.
So \(L_a>L_b\)
(2) The least amount collected from office A was more than the least amount collected from office B.
So \(S_a>S_b\)
\(0...........S_b.......S_a..L_b............................L_a\)..........Clearly p>q
\(0...........S_b....................S_a..L_b...L_a\)..........Clearly q>p
E
