BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

how ??

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Wed Aug 24, 2011 9:37 am

how ??

by rmazzawi » Fri Sep 16, 2011 8:25 am
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) 2
(B) 4
(C) 8
(D) 20
(E) 45

plz helpppp
Last edited by rmazzawi on Tue Sep 20, 2011 5:44 am, edited 1 time in total.
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 504
Joined: Tue Apr 19, 2011 1:40 pm
Thanked: 114 times
Followed by:11 members

by knight247 » Fri Sep 16, 2011 8:59 am
s/t=64.12 You're missing that part in your problem. You may wanna edit that. Anway, 64.12 is a number written in the form Q+(R)/d where Q=Quotient R=Remainder and d=divisor. Comparing to this form we get 64 is the quotient and R/d=0.12
Now, R/d=12/100=3/25

R/d=3/25
But the divisor is t which is a piece of info already given to us. So we rewrite the equation as

R/t=3/25
t=R*25/3

Now whichever value of R we plug in, we NEED to get an integer value for t.
(1)Put R=2 in t=R*25/3. We don't get an integer value so NO
(2)Put R=4 in t=R*25/3. We don't get an integer value so NO
(3)Put R=8 in t=R*25/3. We don't get an integer value so NO
(4)Put R=20 in t=R*25/3. We don't get an integer value so NO
(5)Put R=45 in t=R*25/3. We do get an integer value so YES. Hence E. Hope your clear.
Last edited by knight247 on Sun Sep 18, 2011 1:57 am, edited 1 time in total.
Top
User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 am
Location: India
Thanked: 310 times
Followed by:123 members
GMAT Score:750

by cans » Fri Sep 16, 2011 9:01 am
i think the q is : s/t=64.12
remainder = .12*t
t is integer.
a) .12*t = 2 not integer.
b) .12*t=4 not integer
c) .12*t=8 not integer
d) .12*t=20 not integer
e) .12*t=45 -> t=4500/12 =375
IMO E
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!
Top
Legendary Member
Posts: 1084
Joined: Fri Apr 15, 2011 2:33 pm
Thanked: 158 times
Followed by:21 members

by pemdas » Fri Sep 16, 2011 9:01 am
s=64, t=12, s/t=64/12=5*12 +4
b
rmazzawi wrote:If s and t are positive integers such that = 64.12,
which of the following could be the remainder when
s is divided by t ?
(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

plz helpppp
Success doesn't come overnight!
Top
User avatar
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

by GMATGuruNY » Fri Sep 16, 2011 9:24 am
I posted a solution here:

https://www.beatthegmat.com/number-systems-t67512.html
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
Top
Post new topic Post Reply
• Page 1 of 1