7 and 9 are factors of x . What is the possible value for
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GMAT Club Forum Index Data Sufficiency (DS)
If the positive integer x has 8 positive factors, what is the value of : Data Sufficiency (DS)
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Bunuel
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Jul 9, 2019
00:00 ABCDE
DIFFICULTY: 75% (hard) QUESTION STATS: based on 313 sessions
50% (01:42) correct
50% (01:43) wrong
If the positive integer x has 8 positive factors, what is the value of x?
(1) The product of ANY two positive factors of x is even
(2) x has 7 even positive factors
Spoiler: OA
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ruchik
Jul 9, 2019
If the positive integer x has 8 positive factors, what is the value of x?
(1) The product of ANY two positive factors of x is even
(2) x has 7 even positive factors
Option 1: if product of any two positive factors is even then atleast 7 factors of X are even. Now even factors like 6 will not be there. because if 2 and 6 are factor, 3 will be a factor. Hence even factors will only constitute powers of 2. So the highest factor will be 128. hence the number will be 128. - Sufficient
Option 2: X has 7 even positive factors. One of the factors will be 1. Hence rest 7 are even. It follows same explanation as above.
Answer:
Possible value can be 63
Step-by-step explanation:
We are taking the common numbers from the table of 7 and 9 and hence the common number is only 63
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