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TheUltimateWinner
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Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
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08 Feb 2021, 07:41
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Difficulty:
55%
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Question Stats:
56% (01:59) correct
44%
(02:21)
wrong
based on 63
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What is the value of a two-digit positive integers n?
1) n has 12 factors, inclusive of 1 and n itself.
2) n is a multiple of 3
1) n has 12 factors, inclusive of 1 and n itself.
2) n is a multiple of 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
08 Feb 2021, 22:50
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What is the value of a two-digit positive integers n?
1) n has 12 factors, inclusive of 1 and n itself.
we can find the possible values of n as n<100.
12=12*1=(11+1)......least value \(2^11>100\)...Discard
12=6*2=(5+1)(1+1)......least value \(2^5*3=96<100\)...Keep it.
12=4*3=(3+1)(2+1)......least value \(2^3*3^2=72<100\)...Keep it.
12=4*3=(3+1)(2+1)......another value \(2^2*3^3=108>100\)...Discard.
12=2*2*3=(2+1)(1+1)(1+1)......least value \(2^2*3*5=60<100\)...Keep it.
12=2*2*3=(2+1)(1+1)(1+1)......another value \(2*3^2*5=90<100\)...Keep it.
There can be many more, but 2 values are sufficient to move ahead.
2) n is a multiple of 3
Insuff
Combined
n can be 96, 72 etc
E
1) n has 12 factors, inclusive of 1 and n itself.
we can find the possible values of n as n<100.
12=12*1=(11+1)......least value \(2^11>100\)...Discard
12=6*2=(5+1)(1+1)......least value \(2^5*3=96<100\)...Keep it.
12=4*3=(3+1)(2+1)......least value \(2^3*3^2=72<100\)...Keep it.
12=4*3=(3+1)(2+1)......another value \(2^2*3^3=108>100\)...Discard.
12=2*2*3=(2+1)(1+1)(1+1)......least value \(2^2*3*5=60<100\)...Keep it.
12=2*2*3=(2+1)(1+1)(1+1)......another value \(2*3^2*5=90<100\)...Keep it.
There can be many more, but 2 values are sufficient to move ahead.
2) n is a multiple of 3
Insuff
Combined
n can be 96, 72 etc
E
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