GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 May 2020, 01:14

### 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

# If s and t are positive integers and s/t = 39.12, then which one of th

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64073
If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

17 Apr 2019, 20:32
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:24) correct 30% (01:50) wrong based on 144 sessions

### HideShow timer Statistics

If s and t are positive integers and s/t = 39.12, then which one of the following could t equal?

(A) 8
(B) 13
(C) 15
(D) 60
(E) 75

_________________
Manager
Joined: 05 Feb 2016
Posts: 151
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

17 Apr 2019, 20:47
1
Bunuel wrote:
If s and t are positive integers and s/t = 39.12, then which one of the following could t equal?

(A) 8
(B) 13
(C) 15
(D) 60
(E) 75

$$s/t=3912/100=978/25=978*3/25*3=X/75$$

Option E
Intern
Joined: 27 Mar 2019
Posts: 1
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

19 Apr 2019, 05:42
kunalcvrce wrote:
Bunuel wrote:
If s and t are positive integers and s/t = 39.12, then which one of the following could t equal?

(A) 8
(B) 13
(C) 15
(D) 60
(E) 75

$$s/t=3912/100=978/25=978*3/25*3=X/75$$

Option E

Could you please explain following step: 978*3/25*3=X/75[/m]

I don't understand why you multiplied everything by 3.

Thanks
Intern
Joined: 03 Dec 2014
Posts: 1
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

19 Apr 2019, 05:49
i could not understand the solution,any alternate method ?
Manager
Joined: 21 Feb 2019
Posts: 123
Location: Italy
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

19 Apr 2019, 05:59
Flixus16 he multiplied the fraction set forth above by 3 to get 75 as multiple of 25. The reasoning behind is that you need 25 or a multiple of it. Hence, 25*3= 75.
Intern
Joined: 26 Feb 2020
Posts: 1
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

26 Feb 2020, 12:40
[quote="Bunuel"]If s and t are positive integers and s/t = 39.12, then which one of the following could t equal?

(A) 8
(B) 13
(C) 15
(D) 60
(E) 75

Bunuel, could you please explain why this doesn't align with the very similar (almost exact) question that has s/t=64.12? The solution for that question shows that simplifying 12/100 to 3/25 results in the solution having to be a multiple of 3. In that problem, there was only 1 answer with a multiple of 3.

In this situation, it is the same simplification of 12/100 into 3/25. However for this problem that thought process does not work the same as there are several options for multiples of 3. Why is there a different approach here if the problem is exactly the same?
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4871
GMAT 1: 770 Q49 V46
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

26 Feb 2020, 14:26
1
Top Contributor
Bunuel wrote:
If s and t are positive integers and s/t = 39.12, then which one of the following could t equal?

(A) 8
(B) 13
(C) 15
(D) 60
(E) 75

First take 39.12 and convert into a FRACTION to get 3912/100
In other words, s/t = 3912/100

So, as you can see, t COULD equal 100 (this is why the question asks, "Which of the following COULD t equal?")
Since 100 isn't one of the answer choices, we'll keep going

Simplify the fraction to get: 978/25
Since 25 isn't one of the answer choices, we'll keep going

At this point we can see that, if we take 978/25 and multiply numerator and denominator by 3, we get the equivalent fraction 2934/75
So, t COULD equal 75

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Intern
Joined: 02 Dec 2018
Posts: 15
If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

27 Feb 2020, 20:32
Bunuel wrote:
If s and t are positive integers and s/t = 39.12, then which one of the following could t equal?

(A) 8
(B) 13
(C) 15
(D) 60
(E) 75

s/t = 39.12 = 39 12/100 = 39 3/25

Hence, answer choice must be a multiple of 25. Only choice (E) satisfies this condition.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3367
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

28 Feb 2020, 09:11

Solution

Given
• s and t are positive integers
• s/t = 39.12

To find
• Find one of the possible value of t

Approach and Working out

• s=39 t + 0.12 t
• S and t are integer.
o So, 0.12 t must also be an integer.
o 0.12 t= 12/100 t = 3/25t
o For 3/25 t to be an integer, t must be divisible by 25.

Hence, option E is the correct answer.

_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10540
Location: United States (CA)
Re: If s and t are positive integers and s/t = 39.12, then which one of th  [#permalink]

### Show Tags

29 Feb 2020, 05:30
Bunuel wrote:
If s and t are positive integers and s/t = 39.12, then which one of the following could t equal?

(A) 8
(B) 13
(C) 15
(D) 60
(E) 75

We can create the equation:

s/t = 39 + 12/100

s/t = 39 + 3/25

Since s/t = Q + r/t, we see that t must be a multiple of 25, so t could be 75.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
202 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If s and t are positive integers and s/t = 39.12, then which one of th   [#permalink] 29 Feb 2020, 05:30