GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 15:29

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Determine how many factors y has

Author Message
TAGS:

### Hide Tags

Intern
Joined: 28 Oct 2018
Posts: 3
Determine how many factors y has  [#permalink]

### Show Tags

03 Nov 2018, 16:38
1
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).
Senior Manager
Joined: 15 Feb 2018
Posts: 367
Re: Determine how many factors y has  [#permalink]

### Show Tags

03 Nov 2018, 20:14
2
You just have a terminology issue.
The digits are 0-9.
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.
VP
Joined: 30 Jan 2016
Posts: 1160
Re: Determine how many factors y has  [#permalink]

### Show Tags

04 Nov 2018, 10:45
Hi joejoe4868,

Number theory

Hope this helps!
_________________
Non progredi est regredi
Senior Manager
Joined: 22 Feb 2018
Posts: 420
Determine how many factors y has  [#permalink]

### Show Tags

04 Nov 2018, 11:15
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).

joejoe4868
The 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
Intern
Joined: 28 Oct 2018
Posts: 3
Re: Determine how many factors y has  [#permalink]

### Show Tags

13 Nov 2018, 18:22
Thanks Phillip, that makes sense.
Re: Determine how many factors y has   [#permalink] 13 Nov 2018, 18:22
Display posts from previous: Sort by