GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Sep 2018, 23:46

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.

Close

Request Expert Reply

Confirm Cancel

If c is the product of a and b, which of the following is the quotient

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49303
If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 17 Aug 2018, 05:59
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (01:13) correct 20% (01:37) wrong based on 45 sessions

HideShow timer Statistics

If c is the product of a and b, which of the following is the quotient of a and b?


A) \(\frac{b^2}{c}\)

B) \(\frac{c}{b^2}\)

C) \(\frac{b}{c^2}\)

D) \(bc^2\)

E) \(b^2c\)

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 857
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 17 Aug 2018, 06:21
Bunuel wrote:
If c is the product of a and b, which of the following is the quotient of a and b?


A) \(\frac{b^2}{c}\)

B) \(\frac{c}{b^2}\)

C) \(\frac{b}{c^2}\)

D) \(bc^2\)

E) \(b^2c\)


Hi Bunuel,
I couldn't figure out "what is quotient of a and b". I know "quotient concept is related to a division operation. Is it "which of the following is quotient of a/b"?
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6800
Re: If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 17 Aug 2018, 06:30
2
Bunuel wrote:
If c is the product of a and b, which of the following is the quotient of a and b?


A) \(\frac{b^2}{c}\)

B) \(\frac{c}{b^2}\)

C) \(\frac{b}{c^2}\)

D) \(bc^2\)

E) \(b^2c\)



The question must be meaning quotient when a is divided by b..
Our answer *b=a..
See the choices..

A) \(\frac{b^2}{c}\)....\(b^2/c * b=b^3/c=b^2/a\)

B) \(\frac{c}{b^2}\).......\(c/b^2*b=c/b=a\)..answer

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1979
Premium Member CAT Tests
If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 17 Aug 2018, 20:25
Bunuel wrote:
If c is the product of a and b, which of the following is the quotient of a and b?


A) \(\frac{b^2}{c}\)

B) \(\frac{c}{b^2}\)

C) \(\frac{b}{c^2}\)

D) \(bc^2\)

E) \(b^2c\)

"The quotient of \(a\) and \(b\)" means "\(a\) divided by \(b\)." In English, if the operation is division, the quantity mentioned first goes on top.

I. Algebra
Answers have only \(b\) and \(c\)

Define \(a\) in terms of \(b\) and \(c\)

1) \(a*b=c\)

2) \(a=\frac{c}{b}\)

3) \(\frac{a}{b}= ?\)

Substitute \(a\)'s value from (2) above (\(\frac{c}{b}\)) into \(\frac{a}{b}\)

\(\frac{a}{b}= \frac{(\frac{c}{b})}{b} = \frac{c}{b^2}\)

ANSWER B

II. Assign values
Almost always, if VICs and division are involved, assign values that are ALL even, and make dividend greater than divisor. Use unusual numbers, but not too hard.*
\((a*b)=c\)
Let
\(a=10\)
\(b=2\), so
\(c=20\)

\((a*b)=c\)
\((10*2)=20\), and
\(\frac{a}{b}=\frac{10}{2}=5\)

Using \(b=2\) and \(c=20\), find the answer choice that yields \(5\)

A) \(\frac{b^2}{c}=\frac{4}{20}=\frac{1}{5}\) REJECT

B) \(\frac{c}{b^2}=\frac{20}{4}=5\) KEEP

C) \(\frac{b}{c^2}=\frac{2}{(20)(20)}\) = tiny. REJECT

D) \(bc^2=(2*20*20)\) = huge. REJECT

E) \(b^2c=(2*2*20)\) = huge. REJECT

ANSWER B

*"Usual" = 0, 1, and 2. If you pick (2 * 1) = 2, answers B and E will be correct. Or usual = only multiples of 2 such as 4, 2, 8. They work here, but often, they will yield more than one correct answer.
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 857
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 17 Aug 2018, 23:19
PKN wrote:
Bunuel wrote:
If c is the product of a and b, which of the following is the quotient of a and b?


A) \(\frac{b^2}{c}\)

B) \(\frac{c}{b^2}\)

C) \(\frac{b}{c^2}\)

D) \(bc^2\)

E) \(b^2c\)


Hi Bunuel,
I couldn't figure out "what is quotient of a and b". I know "quotient concept is related to a division operation. Is it "which of the following is quotient of a/b"?


Hi Bunuel,
My doubt is cleared. Thanks to Quant mega-thread.

In the following cases, order is important:
‘quotient/ratio of’ construction
If a problems says ‘the ratio of x and y’, it means ‘x divided by y’ NOT 'y divided by x'.

Thanks generis for elaborating it. Your last line may be a typo(Ans. (C))
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1979
Premium Member CAT Tests
If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 17 Aug 2018, 23:45
PKN wrote:

generis Your last line may be a typo(Ans. (C))

PKN , thank you! Indeed it is a typo. Maybe now my pals on the verbal forums will believe me when I say that I never edit my own work! :)
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1088
Re: If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 18 Aug 2018, 07:30
Bunuel wrote:
If c is the product of a and b, which of the following is the quotient of a and b?


A) \(\frac{b^2}{c}\)

B) \(\frac{c}{b^2}\)

C) \(\frac{b}{c^2}\)

D) \(bc^2\)

E) \(b^2c\)


ab=c
dividing by b, a=c/b
dividing by b again, a/b=c/b^2
B
Intern
Intern
avatar
B
Joined: 25 Jul 2012
Posts: 27
Location: India
Concentration: Finance, Marketing
GMAT 1: 660 Q44 V37
Re: If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 18 Aug 2018, 07:36
c=a*b
Thus, a = c/b
We need to find a/b
therefore, (c/b)/b
Thus, a= c/b^2
_________________

If you like my post, consider giving me KUDOS :-)

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2835
Re: If c is the product of a and b, which of the following is the quotient  [#permalink]

Show Tags

New post 20 Aug 2018, 11:33
Bunuel wrote:
If c is the product of a and b, which of the following is the quotient of a and b?


A) \(\frac{b^2}{c}\)

B) \(\frac{c}{b^2}\)

C) \(\frac{b}{c^2}\)

D) \(bc^2\)

E) \(b^2c\)



We are given that c = ab. We need to find a/b in terms of b and c as we can see from the given choices. We can multiply a/b by b/b and obtain:

a/b * b/b = ab/b^2 = c/b^2

Alternate Solution:

We know that ab = c. Dividing each side of the equation by b^2, we get a/b = c/b^2.

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: If c is the product of a and b, which of the following is the quotient &nbs [#permalink] 20 Aug 2018, 11:33
Display posts from previous: Sort by

If c is the product of a and b, which of the following is the quotient

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.