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14 Aug 2019, 01:22
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D
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Difficulty:
5%
(low)
Question Stats:
91% (00:41) correct
9%
(01:00)
wrong
based on 145
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What is the cube root of z?
(1) The 5th root of z is 243.
(2) The 25th root of z is 3.
(1) The 5th root of z is 243.
(2) The 25th root of z is 3.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
14 Aug 2019, 11:49
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Bunuel
#1 The 5th root of z is 243.
z^1/5 = 243
equating
z^1/5 = (243)^1/5
z=3
sufficient
#2
z^1/25 = 3
not sure though i think upon doing equating
z= 3
IMO D ;
15 Aug 2019, 07:40
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We are trying to find a numerical value here. Also keep in mind we don’t need to actually calculate the value. We just need to make sure that we can.
Statement 1:
This means \(z = 243^5\). The cube root of z is \(243^\frac{5}{3}\), which is a known value so this is sufficient.
Statement 2:
Similar as above, the cube root of z is \(3^\frac{25}{3}\). As you may notice this is an irrational number but it is a fixed value regardless, therefore sufficient.
Answer: D
Statement 1:
This means \(z = 243^5\). The cube root of z is \(243^\frac{5}{3}\), which is a known value so this is sufficient.
Statement 2:
Similar as above, the cube root of z is \(3^\frac{25}{3}\). As you may notice this is an irrational number but it is a fixed value regardless, therefore sufficient.
Answer: D
