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31 Jan 2020, 06:56
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
53% (01:29) correct
47%
(01:12)
wrong
based on 62
sessions
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Find the value of Integer x?
1) x is the factor of product of first four positive integers
2) x has exactly 4 distinct factor
Source: www.GMATinsight.com
1) x is the factor of product of first four positive integers
2) x has exactly 4 distinct factor
Source: www.GMATinsight.com
31 Jan 2020, 07:50
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1) x is the factor of product of first four positive integers
x is factor 1*2*3*4
so x can be 1,2,3,4,6,..
NOT SUFFICIENT
2) x has exactly 4 distinct factor
it means x is in form of \(a^3\) or ab where a, b are prime.
NOT SUFFICIENT
Combing St 1 & 2,
x can be 8 or 6.
NOT SUFFICIENT
Answer E
x is factor 1*2*3*4
so x can be 1,2,3,4,6,..
NOT SUFFICIENT
2) x has exactly 4 distinct factor
it means x is in form of \(a^3\) or ab where a, b are prime.
NOT SUFFICIENT
Combing St 1 & 2,
x can be 8 or 6.
NOT SUFFICIENT
Answer E
GMATinsight
Find the value of Integer x?
1) x is the factor of product of first four positive integers
2) x has exactly 4 distinct factor
Source: https://www.GMATinsight.com
1) x is the factor of product of first four positive integers
2) x has exactly 4 distinct factor
Source: https://www.GMATinsight.com
31 Jan 2020, 19:08
Kudos
Bookmarks
GMATinsight
Find the value of Integer x?
1) x is the factor of product of first four positive integers
2) x has exactly 4 distinct factor
Source: https://www.GMATinsight.com
1) x is the factor of product of first four positive integers
2) x has exactly 4 distinct factor
Source: https://www.GMATinsight.com
Statement 1: I almost missed the word 'factor' here and incorrectly assumed this was sufficient! But, x isn't necessarily the product of the first four positive integers; it's just a factor of that product. Every positive integer (except for 1) will have at least two different factors, so x could definitely have at least two different values. This is insufficient. I'm going to wait on doing the calculation until I've seen whether I need to...
Statement 2: x has 4 distinct factors. I'm not sure what numbers have 4 distinct factors, so I'm going to just start trying some numbers. I won't bother to try primes, because primes only have 2 factors, not 4.
x = 4: only 3 factors - 1, 2, and 4
x = 6: 4 factors! 1, 2, 3, and 6
x = 8: 4 factors as well! 1, 2, 4, and 8
Okay, x could be either 6 or 8, so this is insufficient as well.
Statements 1 and 2
Now it looks like I need to jot down the actual value of 1*2*3*4 for the first statement: x is a factor of 24. However, both 6 and 8 work for this statement, as well as for statement 2. Therefore, there are two different cases that both fit both of the statements, so the statements are still insufficient together.
The correct answer is E.
