It is currently 21 Sep 2017, 12:38

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Collection of questions

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)

### Show Tags

15 Nov 2012, 07:30
1
This post was
BOOKMARKED
A number when divided by 84 leaves a remainder of 57. What is the remainder when the same number is divided by 12?

(A) 7
(B) 8
(C) 9
(D) 11
(E) Cannot be determined
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Kudos [?]: 214 [0], given: 31

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)
The diagonal of a square is approximately how much less than [#permalink]

### Show Tags

15 Nov 2012, 08:22
The diagonal of a square is approximately how much less than the two of its sides combined ?

(A) 30%
(B) 40%
(C) 29%
(D) 39%
(E) 66%
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Last edited by vomhorizon on 15 Nov 2012, 08:36, edited 1 time in total.

Kudos [?]: 214 [0], given: 31

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 639

Kudos [?]: 644 [0], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: The diagonal of a square is approximately how much less than [#permalink]

### Show Tags

15 Nov 2012, 08:35
vomhorizon wrote:
The diagonal of a square is approximately how much less than the two if its sides combined ?

(A) 30%
(B) 40%
(C) 29%
(D) 39%
(E) 66%

I think you meant "The diagonal of a square is approximately how much less than the two of its sides combined"

clearly, if side of a square is x , the diagonal will be $$x*\sqrt{2}$$
What we want is : $$(2x-x*\sqrt{2} )*100/2x$$ or $$(2-\sqrt{2})*100/2$$

$$\sqrt{2}$$ is approx 1.41 , therefore 100(2-1.41) is slightly less than 60. Dividing it by 2 we get a number slightly less than 30.
Among answer choices C is the only one slightly less than 30.

Ans C it is!
_________________

Lets Kudos!!!
Black Friday Debrief

Kudos [?]: 644 [0], given: 23

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)
Re: The diagonal of a square is approximately how much less than [#permalink]

### Show Tags

15 Nov 2012, 08:36
Quote:
I think you meant "The diagonal of a square is approximately how much less than the two of its sides combined"

corrected !
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Kudos [?]: 214 [0], given: 31

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)
A square carpet with an area of 169m^2.. [#permalink]

### Show Tags

15 Nov 2012, 08:37
A square carpet with an area of 169m^2 must have 2 meters cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of the rectangular room.?

(A) 140 m^2

(B) 128 m^2

(C) 143 m^2

(D) 147 m^2

(E) 151 m^2
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Kudos [?]: 214 [0], given: 31

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)
Of three numbers, the first is four times the second [#permalink]

### Show Tags

15 Nov 2012, 08:48
Of three numbers, the first is four times the second, and three times the third. If average of all the three numbers is 95, then the third number is?

(A) 57

(B) 76

(C) 38

(D) 60

(E) 130

[Reveal] Spoiler:
Let the numbers be 12x, 3x, and 4x

The avg. of the numbers = 95; so 19x/3 = 95; x = 15

The third number is 4 x = 60 (D)

_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Kudos [?]: 214 [0], given: 31

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)
If the average of a, b, c is M ad ab+bc = - ca then the [#permalink]

### Show Tags

15 Nov 2012, 08:59
If the average of a, b, c is M ad ab+bc = - ca then the average of a^2, b^2, c^2 is?

(A) M^2

(B) 3M^2

(C) 9M^2

(D) 36M^2

(E) 27M^2
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Last edited by Bunuel on 16 Nov 2012, 03:00, edited 1 time in total.
Renamed the topic.

Kudos [?]: 214 [0], given: 31

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)
A dealer marks articles at a price that gives him a profit.. [#permalink]

### Show Tags

15 Nov 2012, 09:07
A dealer marks articles at a price that gives him a profit of 30%. 6% of the consignment was lost in a fire, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on the consignment?

(A) 2%

(B) 2.5%

(C) 6.2%

(D) 3%

(E) He broke even ..
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Kudos [?]: 214 [0], given: 31

Intern
Joined: 01 Jun 2012
Posts: 21

Kudos [?]: 9 [0], given: 15

Location: United States
Concentration: Nonprofit
GMAT 1: 720 Q48 V43
GPA: 3.83
Re: A square carpet with an area of 169m^2.. [#permalink]

### Show Tags

15 Nov 2012, 09:07
First, you need to find the length of the sides of the original carpet:

x^2 = 169

x = 13

If you cut the length of the square by 2, the square now becomes a rectangle with the side lengths of: 13, 11, 13, 11.

New area of the carpet (and hence the room) is 13 x 11 = 143.

Not sure if this is a 700 level question.

Kudos [?]: 9 [0], given: 15

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 624

Kudos [?]: 743 [0], given: 59

Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: If the average of a, b, c is M.. [#permalink]

### Show Tags

15 Nov 2012, 09:10
vomhorizon wrote:
If the average of a, b, c is M ad ab+bc = - ca then the average of a^2, b^2, c^2 is?

(A) M^2

(B) 3M^2

(C) 9M^2

(D) 36M^2

(E) 27M^2

(a+b+c)/3 = M
=> a+b+c = 3M

ab + bc = -ca
=> ab+ bc+ca = 0

(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca = a^2 + b^2 + c^2 + 2(ab + bc + ca)

substituting values
(3M)^2 = a^2 + b^2 + c^2 + 2*0
=> a^2 + b^2 + c^2 = 9M^2

Avg of a^2, b^2, c^2 = (a^2 + b^2 + c^2)/3 = (9M^2)/3 = 3M^2

Hope it helps!
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Kudos [?]: 743 [0], given: 59

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 624

Kudos [?]: 743 [0], given: 59

Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: Of three numbers, the first is four times the second [#permalink]

### Show Tags

15 Nov 2012, 09:26
Of three numbers, the first is four times the second, and three times the third. If average of all the three numbers is 95, then the third number is?

(A) 57

(B) 76

(C) 38

(D) 60

(E) 130

F -> first, s-> second, t-> third
f = 4s
f = 3t

Let f be 12x then s = 3x and t = 4x
Avg = (12x+3x+4x)/3 = 95
=> x = 95*3/19 = 15

Third number = 4x = 4*15 = 60
Hope it helps!
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Kudos [?]: 743 [0], given: 59

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 624

Kudos [?]: 743 [0], given: 59

Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: A square carpet with an area of 169m^2.. [#permalink]

### Show Tags

15 Nov 2012, 09:35
vomhorizon wrote:
A square carpet with an area of 169m^2 must have 2 meters cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of the rectangular room.?

(A) 140 m^2

(B) 128 m^2

(C) 143 m^2

(D) 147 m^2

(E) 151 m^2

Side of the square is sqrt169 = 13m
since one of the side has to be reduced by 2m so the dimensions of the rectangle will be 13*11 = 143m^2
So, answer will be C. Hope it helps!
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Kudos [?]: 743 [0], given: 59

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 624

Kudos [?]: 743 [0], given: 59

Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: A number when divided by 84 leaves a remainder of 57 [#permalink]

### Show Tags

15 Nov 2012, 09:41
vomhorizon wrote:
A number when divided by 84 leaves a remainder of 57. What is the remainder when the same number is divided by 12?

(A) 7
(B) 8
(C) 9
(D) 11
(E) Cannot be determined

The number(n) can be written as
n = 84k + 57
where k is an integer

when n is divided by 12 then 84k+57 is divided by reminder.
84k goes with 12. and 57 gives 9 as a reminder when divided by 12.
So, 84k + 57 which is n will give 9 as reminder.

Hope it helps!
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Kudos [?]: 743 [0], given: 59

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 624

Kudos [?]: 743 [0], given: 59

Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: A dealer marks articles at a price that gives him a profit.. [#permalink]

### Show Tags

15 Nov 2012, 10:05
vomhorizon wrote:
A dealer marks articles at a price that gives him a profit of 30%. 6% of the consignment was lost in a fire, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on the consignment?

(A) 2%

(B) 2.5%

(C) 6.2%

(D) 3%

(E) He broke even ..

SP = 1.3 * CP (30% profit)
Total Size of the consignment is T
6% is lost so remaining is 94% of T
24% of T is sold at CP/2
Remaining 70% of T is sold at SP

Total SP = ((24/100) * T *CP/2) + ((70/100) * T * 1.3CP)
= T*CP (.12 + .91)
= T*CP (1.03)

So the profit is 3%

_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Kudos [?]: 743 [0], given: 59

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 639

Kudos [?]: 644 [0], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: A dealer marks articles at a price that gives him a profit.. [#permalink]

### Show Tags

15 Nov 2012, 10:11
vomhorizon wrote:
A dealer marks articles at a price that gives him a profit of 30%. 6% of the consignment was lost in a fire, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on the consignment?

(A) 2%

(B) 2.5%

(C) 6.2%

(D) 3%

(E) He broke even ..

If the original cost is x.
The money dealer made was = (6*0x + 24*0.5x+1.3x*70) /x %
= 12+91 = 103%

So the dealer made a profit of 3%

Ans D it is.
_________________

Lets Kudos!!!
Black Friday Debrief

Kudos [?]: 644 [0], given: 23

Manager
Joined: 05 Nov 2012
Posts: 166

Kudos [?]: 40 [0], given: 57

Re: A dealer marks articles at a price that gives him a profit.. [#permalink]

### Show Tags

15 Nov 2012, 10:50
I don't understand how it is 6.2%?!
Consider the consignment to be ‘y’.
If nothing went wrong he must have made money of 1.3xy
Since he sold 0.24y for x/2=> 0.12xy
0.06y is a loss
So the remaining is 0.7y which he sold for 0.7*1.3xy
Profit/Loss= (1.03xy-1.3xy)/1.3xy *100 = -0.27/1.3 *100 = 20% (approx loss)

Even if he is asking abt the profit he made on the amount he invested... the last line would be...
Profit/Loss= (1.03xy-xy)/xy *100 = 0.03*100 = 3% (approx profit)

Kudos [?]: 40 [0], given: 57

Intern
Affiliations: CFA Society of San Francisco (Affiliate Member), American Society for Quality (Enterprise Member)
Joined: 10 Mar 2011
Posts: 23

Kudos [?]: 6 [0], given: 0

Location: United States (CA)
Concentration: Finance
GMAT 1: 630 Q39 V38
GMAT 2: 650 Q39 V40
WE: Supply Chain Management (Aerospace and Defense)
Re: A square carpet with an area of 169m^2.. [#permalink]

### Show Tags

15 Nov 2012, 10:55
length of all sides = 13

now length of one side = 11

Kudos [?]: 6 [0], given: 0

Senior Manager
Joined: 03 Sep 2012
Posts: 336

Kudos [?]: 214 [0], given: 31

Location: United States
Concentration: Healthcare, Strategy
GMAT 1: 730 Q48 V42
GPA: 3.88
WE: Medicine and Health (Health Care)
Re: A number when divided by 84 leaves a remainder of 57 [#permalink]

### Show Tags

15 Nov 2012, 20:04
We can also answer this question by simply plugging in..

Since the number leaves a remainder of 57 when divided by 84 , the number can be :

57 (Q is 0) , 141 (Q1 R57) , 225(Q2 R57), 309..... Etc

We can divide each one our "TEST NUMBERS" by 12, and we will get 9 as the remainder for each one..
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Kudos [?]: 214 [0], given: 31

Intern
Joined: 09 May 2012
Posts: 15

Kudos [?]: 8 [0], given: 7

Re: A number when divided by 84 leaves a remainder of 57 [#permalink]

### Show Tags

15 Nov 2012, 20:31
If a number can be divided by 84 and leaves a remainder of 57 . then it should be:
84x+57/12

Here x can be 0,1,2,3.....

So we got the number , 84x+57. Now divide this number by 12. Bingooooo 84 is divisible by 12 then only left is 57. Now divide 57/12.. we get 9..

This problem would be little more complicated if the divisor was 11.

Kudos [?]: 8 [0], given: 7

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 17586

Kudos [?]: 270 [0], given: 0

### Show Tags

05 Mar 2016, 18:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 270 [0], given: 0

Re: Collection of questions   [#permalink] 05 Mar 2016, 18:54
Similar topics Replies Last post
Similar
Topics:
13 Collection of Manhattan Weekly Challenge Questions 5 24 Aug 2014, 15:17
1 Collection of Probability And Combination questions by bkrao 1 17 Oct 2011, 13:05
1 Is there a weighted averages questions collection? 3 05 Mar 2017, 13:01
6 Collection of questions-by Zarrolou 3 12 Apr 2017, 14:03
8 Collection of Questions 24 05 Mar 2016, 18:54
Display posts from previous: Sort by