November 14, 2018 November 14, 2018 07:00 PM PST 08:00 PM PST Join the webinar and learn timemanagement tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 28 Oct 2018
Posts: 1

Determine how many factors y has
[#permalink]
Show Tags
03 Nov 2018, 15:38
Which of the following statement(s) will support the ability to determine how many factors y has? y is the cube of an integer. y is the product of two distinct positive digits. It says that C is the correct answer. Here is the explanation: No information is given about y in the question prompt so the statements must be analyzed for clues about the factors of y.
Statement (1) indicates that y is an integer, but without knowing more, the number of factors cannot be determined.
Statement (2) indicates that y is either 2, 3, 4, 5, 6, 7, 8, 9 (1 × any digit), or the product of any 2 distinct digits (such as 2 × 3, 3 × 5). The largest possible value is 8 × 9, which is equal to 72.
Statements (1) and (2) together indicate that y is the product of 2 distinct digits that is also the cube of an integer, which means it could only be 8(2³ or 2 × 4) or 27(3³ or 3 × 9), both of which have 4 factors. I don't understand how they've deducted that from statement two. There isn't anything saying that it is the product of two single digit numbers. Under the statements, wouldn't it be possible for y to be 4^3? That would be 64 which is still the product of two distinct digits (ex. 2 and 32).



Manager
Joined: 15 Feb 2018
Posts: 77

Re: Determine how many factors y has
[#permalink]
Show Tags
03 Nov 2018, 19:14
You just have a terminology issue. The digits are 09. two distinct positive digits: •two distinct means two different •two distinct positive means two numbers that are different above 0 •two distinct positive digits means 1 through to 9 (can't be 0)
11 is not a digit. it contains two digits
It can't be 64 as the only two digits that multiply to 64 are 8x8=64, but those are not distinct.



Director
Joined: 30 Jan 2016
Posts: 786
Location: United States (MA)

Re: Determine how many factors y has
[#permalink]
Show Tags
04 Nov 2018, 09:45
Hi joejoe4868, If you want to learn more about number properties, visit the following link: Number theoryHope this helps!
_________________
Non progredi est regredi



Senior Manager
Joined: 22 Feb 2018
Posts: 390

Determine how many factors y has
[#permalink]
Show Tags
04 Nov 2018, 10:15
joejoe4868 wrote: Which of the following statement(s) will support the ability to determine how many factors y has? y is the cube of an integer. y is the product of two distinct positive digits. It says that C is the correct answer. Here is the explanation: No information is given about y in the question prompt so the statements must be analyzed for clues about the factors of y.
Statement (1) indicates that y is an integer, but without knowing more, the number of factors cannot be determined.
Statement (2) indicates that y is either 2, 3, 4, 5, 6, 7, 8, 9 (1 × any digit), or the product of any 2 distinct digits (such as 2 × 3, 3 × 5). The largest possible value is 8 × 9, which is equal to 72.
Statements (1) and (2) together indicate that y is the product of 2 distinct digits that is also the cube of an integer, which means it could only be 8(2³ or 2 × 4) or 27(3³ or 3 × 9), both of which have 4 factors. I don't understand how they've deducted that from statement two. There isn't anything saying that it is the product of two single digit numbers. Under the statements, wouldn't it be possible for y to be 4^3? That would be 64 which is still the product of two distinct digits (ex. 2 and 32). joejoe4868The ten digits of the decimal system are: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. 64 is a 2 digit number,2 digits being 6 and 4.
_________________
Good, good Let the kudos flow through you




Determine how many factors y has &nbs
[#permalink]
04 Nov 2018, 10:15






