Last visit was: 27 Apr 2024, 13:34 It is currently 27 Apr 2024, 13:34

Close

GRE Prep 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
Your Progress

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

Practice
Pays

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 28660
Own Kudos [?]: 33141 [0]
Given Kudos: 25178
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2214 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
avatar
Intern
Intern
Joined: 12 Nov 2018
Posts: 25
Own Kudos [?]: 15 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 28660
Own Kudos [?]: 33141 [1]
Given Kudos: 25178
Send PM
Re: In a four-digit positive integer y, the thousands digit is 2 [#permalink]
Expert Reply
1
Bookmarks
This is a good question.

Now, the thousands digits must be a number between 1 and 9 and at the same time is 2.5 greater than the tens digit.

The question asks if the latter is inferior to 4 or bigger.

If the tens is 5 then 5*2.5= 12.5 which is impossible. The tens digit must be between 1 and 9 as well.

4*2.5=10 impossible as well.The tens digit must be 2 because is the only number that is less 2.5 times another digit the thousands 2*2.5=5

So the tens is 2 and the thousands is 5. If the tens is 2 this is < 4. So B is the answer.

Hope now is clear to you
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 2949 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: In a four-digit positive integer y, the thousands digit is 2 [#permalink]
1
Carcass wrote:
In a four-digit positive integer y, the thousands digit is 2.5 times the tens digit.

Quantity A
Quantity B
The tens digits of y
4


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


Let \(y\) be \(abcd\)
We are given \(a = 2.5(c)\)

Let us plug some values for \(c\):

When \(c = 1\), \(a = 2.5\) - Not Possible
When \(c = 2\), \(a = 5\) - Possible (5,b1d)
When \(c = 3\), \(a = 7.5\) - Not Possible
When \(c = 4\), \(a = 10\) - Not Possible .....

Any value of \(c\) after this will give us a value of \(a\) which is Not Possible

Col. A: \(c = 2\)
Col. B: \(4\)

Hence, option B
Prep Club for GRE Bot
[#permalink]
Moderators:
Moderator
1085 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne