NEW HERE? LEARN MORE
closeclose
Last visit was: 27 Apr 2024, 15:49 It is currently 27 Apr 2024, 15:49
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

If t is a positive integer and 3*10^t > 15,000, what is t?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
B
anooo31
Intern
Intern
Joined: 12 Aug 2014
Posts: 3
Own Kudos [?]: 21 [5]
Given Kudos: 19
Send PM
If t is a positive integer and 3*10^t > 15,000, what is t? [#permalink] New post   Updated on: 06 May 2018, 01:58
5
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

62% (02:00) correct 38% (02:15) wrong based on 198 sessions
Hide Show timer Statistics
If t is a positive integer and \(3*10^{t} > 15,000\), what is t?


(1) \(10^t < 20,000\)

(2) \(5 * 10^t < 600,000\)
ShowHide Answer
Official Answer
A

Originally posted by anooo31 on 06 May 2018, 01:07.
Last edited by anooo31 on 06 May 2018, 01:58, edited 3 times in total.
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5962
Own Kudos [?]: 13397 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: If t is a positive integer and 3*10^t > 15,000, what is t? [#permalink] New post   06 May 2018, 01:21
Expert Reply
anooo31 wrote:
If t is a positive integer and \(3*10^{t} > 15,000\), what is t?


(1) \(10^t < 20,000\)

(2) \(5 * 10^t < 600,000\)


Show Spoiler
Struggling to see if the answer is B or D. Spoiler: Don't have OA yet


\(3*10^{t} > 15,000\)

i.e. \(10^{t} > 5,000\)

i.e. \(10^{t-3} > 5\)

i.e. t-3 > 0

i.e. t > 3

Question : t = ?

Statement 1: \(10^t < 20,000\)

i.e. \(10^{t-4} < 2\)

i.e. t - 4 < 1

i.e. t < 5

i.e. 3 < t < 5

i.e. t = 4

SUFFICIENT

Statement 2: \(5 * 10^t < 600,000\)

i.e. \(10^t < 120,000\)

i.e. \(10^{t-5} < 1.2\)

i.e. t-5 <1
i.e. t < 6

i.e. t may be 4 or 5 hence

NOT SUFFICIENT

Answer: Option A
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92959
Own Kudos [?]: 619481 [1]
Given Kudos: 81611
Send PM
CAT Tests Forum Quiz Mode
Re: If t is a positive integer and 3*10^t > 15,000, what is t? [#permalink] New post   06 May 2018, 01:22
1
Kudos
Expert Reply
If t is a positive integer and \(3*10^{t} > 15,000\), what is t?

\(3*10^{t} > 15,000\);

\(10^{t} > 5,000\);

Since t is a positive integer, then t > 3. It can be: 4, 5, 6, 7, ...


(1) \(10^t < 20,000\). From this t can be 4, 3, 2, or 1. Thus, t = 4. Sufficient.

(2) \(5 * 10^t < 600,000\) --> \(10^t < 120,000\). From this t can be 5, 4, 3, 2, or 1. Thus, t = 4 or t = 5. Not sufficient.


Answer: A.
avatar
B
wade2niks
Intern
Intern
Joined: 14 Aug 2015
Posts: 2
Own Kudos [?]: 5 [0]
Given Kudos: 74
Location: India
Schools: ISB '18
GPA: 4
WE:Engineering (Energy and Utilities)
Send PM
Re: If t is a positive integer and 3*10^t > 15,000, what is t? [#permalink] New post   06 May 2018, 02:14
From the question stem we know that t can be an integer greater than 3
Now let's consider (1)- t can be an integer from 1 to 4
Therefore, we can conclude that t=4; (1) is sufficient

Considering (2)- t can be an integer from 1 to 5
Thus we have two possible values of t, 4 & 5; (2) is not sufficient

Therefore, the answer is A
User avatar
P
push12345
Director
Director
Joined: 02 Oct 2017
Posts: 552
Own Kudos [?]: 481 [0]
Given Kudos: 14
Send PM
Re: If t is a positive integer and 3*10^t > 15,000, what is t? [#permalink] New post   07 May 2018, 12:17
anooo31 wrote:
If t is a positive integer and \(3*10^{t} > 15,000\), what is t?


(1) \(10^t < 20,000\)

(2) \(5 * 10^t < 600,000\)



I) here we get t=1,2,3,4
But only t=4 satisfy 3*10^t>15000
Sufficient

II) here t=1,2,3,4,5
But t=4 and 5 satisfy
3*10^t>15000
Insufficient

So A is answer

Posted from my mobile device
User avatar
B
SPatel1992
Manager
Manager
Joined: 23 Jul 2015
Posts: 68
Own Kudos [?]: 27 [0]
Given Kudos: 297
Schools: Marshall '22 (S)
Send PM
Re: If t is a positive integer and 3*10^t > 15,000, what is t? [#permalink] New post   31 Jul 2019, 14:36
Bunuel wrote:
If t is a positive integer and \(3*10^{t} > 15,000\), what is t?

\(3*10^{t} > 15,000\);

\(10^{t} > 5,000\);

Since t is a positive integer, then t > 3. It can be: 4, 5, 6, 7, ...


(1) \(10^t < 20,000\). From this t can be 4, 3, 2, or 1. Thus, t = 4. Sufficient.

(2) \(5 * 10^t < 600,000\) --> \(10^t < 120,000\). From this t can be 5, 4, 3, 2, or 1. Thus, t = 4 or t = 5. Not sufficient.


Answer: A.


For B, how did you get 5? \(5*10^t<600,000\) on diving both sides by 5 is \(10^t<120,000\)
so 120,000 can be written as 12 X 10000 = 12 X 10^4

Can you point the error I am making?

Thanks in advance!
GMAT Club Bot
gmatclubot
Re: If t is a positive integer and 3*10^t > 15,000, what is t? [#permalink]
31 Jul 2019, 14:36
Moderator:
Bunuel
Math Expert
92959 posts

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