Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
GPA: 3.88
WE: Medicine and Health (Health Care)

Collection of questions [#permalink]
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



Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
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.



Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 640
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 : \((2xx*\sqrt{2} )*100/2x\) or \((2\sqrt{2})*100/2\) \(\sqrt{2}\) is approx 1.41 , therefore 100(21.41) 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



Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
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



Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
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 cutoff 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



Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
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 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



Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
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.



Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
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



Intern
Joined: 01 Jun 2012
Posts: 21
Location: United States
Concentration: Nonprofit
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.



Director
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 619
Location: India
Concentration: Finance, Marketing
GMAT 1: 570 Q49 V19 GMAT 2: 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 So, Answer will be B 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



Director
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 619
Location: India
Concentration: Finance, Marketing
GMAT 1: 570 Q49 V19 GMAT 2: 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 So, Answer will be D 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



Director
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 619
Location: India
Concentration: Finance, Marketing
GMAT 1: 570 Q49 V19 GMAT 2: 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 cutoff 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



Director
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 619
Location: India
Concentration: Finance, Marketing
GMAT 1: 570 Q49 V19 GMAT 2: 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. 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



Director
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 619
Location: India
Concentration: Finance, Marketing
GMAT 1: 570 Q49 V19 GMAT 2: 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% So, answer will be D
_________________
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



Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 640
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



Manager
Joined: 05 Nov 2012
Posts: 170

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 Total money he made 0.12xy+0.91xy=1.03xy Profit/Loss= (1.03xy1.3xy)/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= (1.03xyxy)/xy *100 = 0.03*100 = 3% (approx profit)



Intern
Affiliations: CFA Society of San Francisco (Affiliate Member), American Society for Quality (Enterprise Member)
Joined: 10 Mar 2011
Posts: 23
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
13*11=xx3. only one answer has 3 as the units digit. stop, there is your answer.



Senior Manager
Joined: 03 Sep 2012
Posts: 336
Location: United States
Concentration: Healthcare, Strategy
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



Intern
Joined: 09 May 2012
Posts: 15

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.



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16022

Re: Collection of questions [#permalink]
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: Collection of questions
[#permalink]
05 Mar 2016, 18:54







