Last visit was: 23 Apr 2024, 14:22 It is currently 23 Apr 2024, 14:22

Close

GRE Prep 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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
Retired Moderator
Joined: 07 Jan 2018
Posts: 739
Own Kudos [?]: 1373 [0]
Given Kudos: 93
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2214 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
avatar
Intern
Intern
Joined: 05 Jan 2018
Posts: 32
Own Kudos [?]: 38 [1]
Given Kudos: 0
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 11679 [0]
Given Kudos: 136
Send PM
Re: When Q is divided by W, the quotient is R and the remainder [#permalink]
1
amorphous wrote:
When Q is divided by W, the quotient is R and the remainder is E. Which of the following expressions is equal to E?

A. RW + Q
B. RW - Q
C. Q - RW
D. QW - R
E. Q/RW


-----ASIDE-----------------------
There's a nice rule that says, "If N divided by D equals Q with remainder R, then N = DQ + R"
For example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2
Likewise, since 53 divided by 10 equals 5 with remainder 3, then we can write 53 = (10)(5) + 3
-------------------------------------

GIVEN: When Q is divided by W, the quotient is R and the remainder is E.
So, we can write: Q = WR + E

Which of the following expressions is equal to E?
Take: Q = WR + E
Subtract WR from both sides to get: Q - WR = E

Answer: C

Cheers,
Brent
Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1085
Own Kudos [?]: 883 [1]
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Send PM
Re: When Q is divided by W, the quotient is R and the remainder [#permalink]
1
When Q is divided by W, the quotient is R and the remainder is E

Theory: Dividend = Divisor*Quotient + Remainder

Q -> Dividend
W -> Divisor
R -> Quotient
E -> Remainder

=> Q = W*R + E = WR + E
=> E = Q - WR = Q - RW

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Remainders

Prep Club for GRE Bot
[#permalink]
Moderators:
Moderator
1085 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne