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24 Jul 2019, 00:26
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:26) correct
27%
(01:06)
wrong
based on 78
sessions
History
Date
Time
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Not Attempted Yet
If \(\sqrt{Z}\) is greater than 0, is \(\sqrt{Z}\) greater than Z ?
(1) Z is greater than zero
(2) \(\sqrt{Z}\) is less than 1
(1) Z is greater than zero
(2) \(\sqrt{Z}\) is less than 1
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
firas92
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Last visit: 24 Jul 2026
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Concentration: General Management
Schools: Tepper '23 (M$) Foster '23 (D)
GMAT 1: 740 Q50 V40
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24 Jul 2019, 00:52
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If \(\sqrt{Z}>0\), then \(Z>0\),
If \(Z<1\), then \(\sqrt{Z}>Z\)
If \(Z>1\), then \(\sqrt{Z}<Z\)
So, we need to know if \(0<Z<1\)
1. \(Z\) is greater than zero
We already know this from the stem.
If \(Z<1\), then \(\sqrt{Z}>Z\)
If \(Z>1\), then \(\sqrt{Z}<Z\)
1 is insufficient
2. \(\sqrt{Z}\) is less than 1
If \(\sqrt{Z}<1\), \(Z<1\)
So, if \(Z<1\), then \(\sqrt{Z}>Z\)
We have an answer
2 is sufficient
Answer is (B)
If \(Z<1\), then \(\sqrt{Z}>Z\)
If \(Z>1\), then \(\sqrt{Z}<Z\)
So, we need to know if \(0<Z<1\)
1. \(Z\) is greater than zero
We already know this from the stem.
If \(Z<1\), then \(\sqrt{Z}>Z\)
If \(Z>1\), then \(\sqrt{Z}<Z\)
1 is insufficient
2. \(\sqrt{Z}\) is less than 1
If \(\sqrt{Z}<1\), \(Z<1\)
So, if \(Z<1\), then \(\sqrt{Z}>Z\)
We have an answer
2 is sufficient
Answer is (B)
24 Jul 2019, 01:28
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If √Z is greater than 0, is √Z greater than Z ?
(1) Z is greater than zero
(2) √Z is less than 1
We have √Z > 0. √Z > Z ?
Statement 1) Z > 0
Since both √Z and Z are greater than 0, it is possible that
√Z > Z OR Z >√Z (Yes and No both possibilities).
INSUFFICIENT.
Statement 2) √Z < 1
From question stem we have √Z > 0
0 < √Z < 1
Z is a fraction less than 1
Let’s take √Z = ¼
Z = 1/16
√Z > Z
OR
√Z = ½
Z = ¼
√Z > Z again
SUFFICIENT.
Answer (B)
(1) Z is greater than zero
(2) √Z is less than 1
We have √Z > 0. √Z > Z ?
Statement 1) Z > 0
Since both √Z and Z are greater than 0, it is possible that
√Z > Z OR Z >√Z (Yes and No both possibilities).
INSUFFICIENT.
Statement 2) √Z < 1
From question stem we have √Z > 0
0 < √Z < 1
Z is a fraction less than 1
Let’s take √Z = ¼
Z = 1/16
√Z > Z
OR
√Z = ½
Z = ¼
√Z > Z again
SUFFICIENT.
Answer (B)
