GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 02 Aug 2021, 13:01
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

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
Your Progress

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

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

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
A certain two-digit integer x when divided by another integer t yields
6 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 78155
Premium Member CAT Tests Forum Quiz Mode Top Member of the Month
A certain two-digit integer x when divided by another integer t yields [#permalink] New post  23 May 2020, 07:25
12
Bookmarks
Expert Reply
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

74% (01:41) correct 26% (01:56) wrong based on 241 sessions

Hide Show timer Statistics

A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
V
nick1816
DS Forum Moderator
Joined: 19 Oct 2018
Posts: 2295
Location: India
Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post  23 May 2020, 09:59
x = 'ab' =10a+b = 7t+2

Statement 1-

'ba' = 85; 'ab' = x = 58

Sufficient

Statement 2-

x= 7*8+2 = 58

Sufficient



Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360
User avatar
V
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 6965
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE:Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge
Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post  23 May 2020, 17:09
Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360


given
that x= t*7+2
find x
#1

When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
only possible value of x = 85 so actual x is 58 and t = 8 sufficient
#2
t=8
so x has to be 58
sufficient
OPTION D
avatar
B
jigsagupta
Intern
Intern
Joined: 16 Dec 2017
Posts: 3
CAT Tests
Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post  23 May 2020, 18:55
1
Bookmarks
Answer will be (D) IMO.

From Statement 1 it can be seen that through the Number is 85 from the information given for the reversed number as the information is complete for the formation. As where 12 is the quotient, 7 is the divisor and 1 is remainder that number will be 12*7+1=85. So x will be 58.

From Statement 2, it can be seen that t=8. Can be used to find the value of x.
avatar
B
AbhishekDhanraJ72
Manager
Manager
Joined: 15 Apr 2020
Posts: 84
Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post  27 Sep 2020, 02:14
nick1816 wrote:
x = 'ab' =10a+b = 7t+2

Statement 1-

'ba' = 85; 'ab' = x = 58

Sufficient

Statement 2-

x= 7*8+2 = 58

Sufficient




Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360




how to calculate 58 or 85????
avatar
G
basshead
VP
VP
Joined: 09 Jan 2020
Posts: 1037
Premium Member
Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post  25 Nov 2020, 13:49
1
Kudos
Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360


x = two digit integer

\(x = 7t + 2\)

What is the value of x?

Lets start with statement 2:

(2) \(t = 8\)

Directly gives us our answer: \(x = 7(t) + 2\); SUFFICIENT.

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.

\(12 * 7 + 1 = 85\)

\(x = 58\)

SUFFICIENT.

Answer is D.
_________________
Help me get better -- please critique my responses!
Signature Read More
GMAT Club Bot
gmatclubot
Re: A certain two-digit integer x when divided by another integer t yields [#permalink]
25 Nov 2020, 13:49
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10175 posts
Bunuel
Math Expert
78155 posts
GMATBusters
GMAT Tutor
2009 posts
nick1816
DS Forum Moderator
2295 posts

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions