IMO E
I dont know whether my method is a genuine one, This is the way I solved:
s/t = 64.12
we can write 6412/100 =3206/50 = 1603/25
So when 1603 divided by 25 we see remainder 3.
Now see the options there is only one option which is a multiple of 3. Thus the answer is E
Number systems
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
When one number doesn't divide evenly into another number, we can represent what's left over either as a decimal (5/2 = 2.5) or as a remainder (5/2 = 2 R 1). The problem above is testing the relationship between the decimal representation and the remainder representation. Here's the relationship:narik11 wrote:If s and t are positive integers such that s/t = 64.12,
which of the following could be the remainder when s is divided by t ?
(a) 4
(b) 2
(c) 8
(d) 20
(e) 45
decimal * divisor = remainder
Let's revisit 5/2 = 2.5. If we multiply the decimal (.5) by the divisor (2), we get .5 * 2 = 1, which is the remainder if we represent the division as 5/2 = 2 R1.
In the problem above the decimal is .12, the divisor is t, and the remainder is one of the answer choices. So .12t = answer choice. The problem stipulates that t must be an integer. Which answer choice will result in an integer value for t?
Only answer choice E works:
.12t = 45
t =45/.12 = 4500/12 = 375.
The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
shovan85
- Community Manager
- Posts: 991
- Joined: Thu Sep 23, 2010 6:19 am
- Location: Bangalore, India
- Thanked: 146 times
- Followed by:24 members
Thanks GMATGuruNY!! Now it is much clear, but the way I did is it acceptable or may fail sometimes?GMATGuruNY wrote:When one number doesn't divide evenly into another number, we can represent what's left over either as a decimal (5/2 = 2.5) or as a remainder (5/2 = 2 R 1). The problem above is testing the relationship between the decimal representation and the remainder representation. Here's the relationship:narik11 wrote:If s and t are positive integers such that s/t = 64.12,
which of the following could be the remainder when s is divided by t ?
(a) 4
(b) 2
(c) 8
(d) 20
(e) 45
decimal * divisor = remainder
Let's revisit 5/2 = 2.5. If we multiply the decimal (.5) by the divisor (2), we get .5 * 2 = 1, which is the remainder if we represent the division as 5/2 = 2 R1.
In the problem above the decimal is .12, the divisor is t, and the remainder is one of the answer choices. So .12t = answer choice. The problem stipulates that t must be an integer. Which answer choice will result in an integer value for t?
Only answer choice E works:
.12t = 45
t =45/.12 = 4500/12 = 375.
The correct answer is E.
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
My pleasure. Try your approach on the following question, which tests the same concept:shovan85 wrote:Thanks GMATGuruNY!! Now it is much clear, but the way I did is it acceptable or may fail sometimes?GMATGuruNY wrote:When one number doesn't divide evenly into another number, we can represent what's left over either as a decimal (5/2 = 2.5) or as a remainder (5/2 = 2 R 1). The problem above is testing the relationship between the decimal representation and the remainder representation. Here's the relationship:narik11 wrote:If s and t are positive integers such that s/t = 64.12,
which of the following could be the remainder when s is divided by t ?
(a) 4
(b) 2
(c) 8
(d) 20
(e) 45
decimal * divisor = remainder
Let's revisit 5/2 = 2.5. If we multiply the decimal (.5) by the divisor (2), we get .5 * 2 = 1, which is the remainder if we represent the division as 5/2 = 2 R1.
In the problem above the decimal is .12, the divisor is t, and the remainder is one of the answer choices. So .12t = answer choice. The problem stipulates that t must be an integer. Which answer choice will result in an integer value for t?
Only answer choice E works:
.12t = 45
t =45/.12 = 4500/12 = 375.
The correct answer is E.
https://www.beatthegmat.com/remainder-ru ... tml#270804
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
LalaB
- Master | Next Rank: 500 Posts
- Posts: 425
- Joined: Wed Dec 08, 2010 9:00 am
- Thanked: 56 times
- Followed by:7 members
- GMAT Score:690
imho, we can avoid time-consuming division by checking answer choices quickly.GMATGuruNY wrote: (a) 4
(b) 2
(c) 8
(d) 20
(e) 45
0.12t = 45
t =45/.12 = 4500/12 = 375.
The correct answer is E.
since 12 has 3 and we need an integer as a result of division, we can see than only E has 3 in common. it is for a lazy one like me hehe
