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

 It is currently 17 Jan 2019, 19:38

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If 4s - 3t = 10 where s and t are integers, which of the following can

Author Message
TAGS:

### Hide Tags

Manager
Joined: 17 Mar 2015
Posts: 86
If 4s - 3t = 10 where s and t are integers, which of the following can  [#permalink]

### Show Tags

04 Feb 2018, 12:23
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:16) correct 40% (02:16) wrong based on 71 sessions

### HideShow timer Statistics

If 4s - 3t = 10 where s and t are integers, which of the following cannot be true?

a. s and t have same signs.
b. s and t have opposite signs.
c. there is a solution such that t is divisible by 8.
d. there is solution such that when s is divided by 3, remainder is 1.
e .there is a solution such that both s and t are positive integers.
Director
Joined: 31 Jul 2017
Posts: 517
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If 4s - 3t = 10 where s and t are integers, which of the following can  [#permalink]

### Show Tags

04 Feb 2018, 13:10
prince00113 wrote:
If 4s - 3t = 10 where s and t are integers, which of the following cannot be true?

a. s and t have same signs.
b. s and t have opposite signs.
c. there is a solution such that t is divisible by 8.
d. there is solution such that when s is divided by 3, remainder is 1.
e .there is a solution such that both s and t are positive integers.

4s - 3t = 10. ---> 4s = 10 + 3t

a. $$t = 2, s = 4$$
b. $$t = -2, s= 1$$
c. $$t = \frac{10}{4} + 6k$$ --- No Such Solution
d. $$t = 2, s = 4$$
e. $$t= 2, s = 4.$$
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

VP
Joined: 07 Dec 2014
Posts: 1151
If 4s - 3t = 10 where s and t are integers, which of the following can  [#permalink]

### Show Tags

04 Feb 2018, 14:15
prince00113 wrote:
If 4s - 3t = 10 where s and t are integers, which of the following cannot be true?

a. s and t have same signs.
b. s and t have opposite signs.
c. there is a solution such that t is divisible by 8.
d. there is solution such that when s is divided by 3, remainder is 1.
e .there is a solution such that both s and t are positive integers.

a. is true for s=4;t=2
b. is true for s=1;t=-2
c. is not true:
4s-3t=10
→t=(4s-10)/3
→t/8=(4s-10)/24
4s-10 is not a multiple of 4
t≠integer
c
If 4s - 3t = 10 where s and t are integers, which of the following can &nbs [#permalink] 04 Feb 2018, 14:15
Display posts from previous: Sort by