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03 Feb 2025, 16:34
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Minimum: 949
Maximum: 1264
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:
35% (02:51) correct
65%
(03:18)
wrong
based on 204
sessions
History
Date
Time
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Not Attempted Yet
Raphael works as a caretaker at a zoo, where his responsibilities include bathing and feeding the animals. According to the guidelines, an animal’s daily water requirement is directly proportional to the square root of its weight.
Based on this, a tiger weighing 400 kg requires more than 300 liters but less than 400 liters of water. Similarly, an elephant weighing 4000 kg requires \(x\) liters of water, where \(x\) is an integer.
Select for Minimum the least possible value of \(x\), and for Maximum the greatest possible value of \(x\). Make only two selections, one in each column.
Based on this, a tiger weighing 400 kg requires more than 300 liters but less than 400 liters of water. Similarly, an elephant weighing 4000 kg requires \(x\) liters of water, where \(x\) is an integer.
Select for Minimum the least possible value of \(x\), and for Maximum the greatest possible value of \(x\). Make only two selections, one in each column.
| Minimum | Maximum | |
| 947 | ||
| 948 | ||
| 949 | ||
| 1263 | ||
| 1264 | ||
| 1265 |
ShowHide Answer
Official Answer
Minimum: 949
Maximum: 1264
12 Feb 2025, 01:30
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Bunuel
Official Solution:
An animal’s daily water requirement being directly proportional to the square root of its weight implies that the water requirement equals \(\sqrt{weight} * k\) for some constant \(k\).
Given that a tiger weighing 400 kg requires more than 300 liters but less than 400 liters of water, we have:
\(300 < \sqrt{400} * k < 400\)
\(300 < 20k < 400\)
\(15 < k < 20\)
An elephant weighing 4000 kg would require \(x = \sqrt{4000} * k\) liters. Multiplying the above inequality by \(\sqrt{4000}\) gives:
\(15\sqrt{4000} < \sqrt{4000} * k < 20\sqrt{4000}\)
\(15\sqrt{4000} < x < 20\sqrt{4000}\)
Evaluating \(15\sqrt{4000}\) using a calculator, we get approximately 948.7.
Evaluating \(20\sqrt{4000}\) using a calculator, we get approximately 1264.9.
Thus:
\(948.7 < x < 1264.9\)
Since \(x\) is an integer, the least possible value of \(x\) is 949, and the greatest possible value of \(x\) is 1264.
Correct answer:
Minimum "949"
Maximum "1264"
Attachment:
GMAT-Club-Forum-4lcc78kd.png [ 11.15 KiB | Viewed 917 times ]
General Discussion
04 Feb 2025, 00:03
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Bunuel
I think the main point here is to remember that we have calculator for the data insights section. Reaching 300*sqrt(10)<water<400*sqrt(10) is a small job. But if we start solving this thing to see which option fits in terms of ratio or anything for options. That is going to ruin the whole question. Instead we need to remind ourself that this is the moment they have given that amazing toolbox for!
