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RenB
Joined: 13 Jul 2022
Last visit: 06 Jul 2026
Posts: 388
Given Kudos: 302
Location: India
Concentration: Finance, Nonprofit
Schools: Stanford '26 Wharton '26 (D) Booth '26 (D) Yale '26 (D) CBS '26 (A$$$) Darden '26 (WL) HBS '28 (D) Ross '26 (A$$$$) LBS '26 (D) Tuck '26 (A$$) Kellogg '26 (A)
GMAT Focus 1: 715 Q90 V84 DI82 
GPA: 3.74
WE:Corporate Finance (Consulting)
Schools: Stanford '26 Wharton '26 (D) Booth '26 (D) Yale '26 (D) CBS '26 (A$$$) Darden '26 (WL) HBS '28 (D) Ross '26 (A$$$$) LBS '26 (D) Tuck '26 (A$$) Kellogg '26 (A)
GMAT Focus 1: 715 Q90 V84 DI82
Posts: 388
26 Jun 2023, 08:17
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
53% (01:54) correct
47%
(01:39)
wrong
based on 148
sessions
History
Date
Time
Result
Not Attempted Yet
If q is a positive integer, does q^2 have exactly 3 positive factors?
(1) LCM of q and 7 is 14.
(2) GCD of q and 7 is 7.
(1) LCM of q and 7 is 14.
(2) GCD of q and 7 is 7.
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
26 Jun 2023, 08:30
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RenB
Question: does \(q^2 \) have exactly 3 positive factors
Inference: Is q prime ?
Statement 1
(1) LCM of q and 7 is 14
Case 1: q = 2; LCM (2,7) = 14
Is q prime → Yes
Case 2: q = 14; LCM (14,7) = 14
Is q prime → No
As we have contradictory answers to the question, this statement alone is not sufficient. We can eliminate A and D.
Statement 2
(2) GCD of q and 7 is 7
Case 1: q = 7; GCD (7,7) = 7
Is q prime → Yes
Case 2: q = 14; GCD (14,7) = 7
Is q prime → No
As we have contradictory answers to the question, this statement alone is not sufficient. We can eliminate B.
Combined
LCM * GCD = Product of two numbers
q * 7 = 14 * 7
q = 14
Is q prime → No
We have a definite answer, Option C
18 Aug 2024, 07:22
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