GMAT Problem Solving Discussions

Thanks mucool, It was a typo (Y X).

The better method is truly super.

Hi,
Can someone help with solutions to the questions below.
Appreciate your help.
Thanks

Are you even referring to the answers sent by me...I dun see an acknowledgment!! Dude it doesn't work like that....the moderator is sending e a thanks...i think the guy who posted shud be doin that!!

It took a lot of effort, hope you understand that its only hman to kno that u are actually interested in knowing the answers.

Anyways I am posting the answers to testprep2 also.
Hi,
Can someone help with solutions to the questions below.
Appreciate your help.
Thanks

Here are the answers...refer the attachment for questions...


6) From either of statements we can get the equation for line Kthat is parallel to Y axis and passing thru 1,1 and 1,-1.
But no info is there for line M. We need two points to ascertain its equation. But only one is given.
So we cannot say whether its perpendicular or not.
So E


7) From 1 we cant say anythingsimply not enuf info

from 2we get that 10 offices are of 350but how the remaining 6000 sq feet is divided among 200 or 300 area officeswe dont knowit can be all 200 or all 300 or mixedthe answer will vary.

Even by combining it gives no clue!

So E.


37) For 10 miles in city, gallons used = 10/25 = 2/5 = 0.4
for 50 miles on highway, gallons used = 50/40 = 1.25

average = (10+50)/(1.25+0.4) = 60/1.65 = 36.3 almost 36

answer shud be D

Cheers!
A certain city wid a population of 132000 is to be didvided into 11 districts and no district shuould have a populatn that is 10% greater than population of any other district wat is the min populn that the least populated district could have ?


A)10700
B)10800
C)10900
D)11000
E)11100


there are 50 students, 22 take accounts, 15 take finance and 14 take marketing. 9 take exactly 2 courses and 1 takes all 3. How many of total took none?
a.10 b 11 c 12 d 14 e 0



22+15+14-9 +1 =43

50-43 = 7


But this doesn't match with any of the options , can somebody please tell me where i am going wrong !
22+15+14-9 +1 =43

50-43 = 7


But this doesn't match with any of the options , can somebody please tell me where i am going wrong !

the answer should be 22+15+14-10+1=42
so 8 will not take any ...
the reason for subtracting 10 is because 9 will take exactly two .. and the 1 person who takes all the three also should be counted ..
the answer should be 22+15+14-10+1=42
so 8 will not take any ...
the reason for subtracting 10 is because 9 will take exactly two .. and the 1 person who takes all the three also should be counted ..

I concur....it shud be 22+15+14 - 9-1 = 42 ....
1 has to be counted...as the 9 doesn't include it
Are you even referring to the answers sent by me...I dun see an acknowledgment!! Dude it doesn't work like that....the moderator is sending e a thanks...i think the guy who posted shud be doin that!!

It took a lot of effort, hope you understand that its only hman to kno that u are actually interested in knowing the answers.

Anyways I am posting the answers to testprep2 also.

Dear Mucool,
Thanks for the effort. Always fascinating to see someone take their time off and do this. Really !

The First Question you answered

For every positive even integer n h(n) is the product of all even numbers till n, find the smallest prime factor of h(100) + 1

I did not quite get it how you arrived at 101 , Can you please explain.

for eg take h( = 2 x 4 x 6 x 8 + 1 = 385, so the smallest prime is 5 . Though your answer is correct, i don't get the logic.

Could you please help.
Dear Mucool,
Thanks for the effort. Always fascinating to see someone take their time off and do this. Really !

The First Question you answered

For every positive even integer n h(n) is the product of all even numbers till n, find the smallest prime factor of h(100) + 1

I did not quite get it how you arrived at 101 , Can you please explain.

for eg take h( = 2 x 4 x 6 x 8 + 1 = 385, so the smallest prime is 5 . Though your answer is correct, i don't get the logic.

Could you please help.


dude i think i hav screwed that up!
wil let u kno...how to solve that...
sorry!
coolest Says
A certain city wid a population of 132000 is to be didvided into 11 districts and no district shuould have a populatn that is 10% greater than population of any other district wat is the min populn that the least populated district could have

let the minimum populn be x. Hence the max popln of a city can be 1.1x
for a district to have the least value
x+11x=132000
=> x = 11000
Are you even referring to the answers sent by me...I dun see an acknowledgment!! Dude it doesn't work like that....the moderator is sending e a thanks...i think the guy who posted shud be doin that!!

It took a lot of effort, hope you understand that its only hman to kno that u are actually interested in knowing the answers.

Anyways I am posting the answers to testprep2 also.


Thank you very much. I really appreciate the explanations. will come again if I have a question.

If the sequence x1, x2, x3,........,xn is such that x1=3, xn+1=2xn-1 for n=1, then

x20-x19= ?

a. 2^19

b. 2^20

c. 2^21

d. 2^20-1

e. 2^21-1

If the sequence x1, x2, x3,........,xn is such that x1=3, xn+1=2xn-1 for n=1, then

x20-x19= ?

a. 2^19

b. 2^20

c. 2^21

d. 2^20-1

e. 2^21-1

is there a typo in the question ??? I think it should be n>1
assuming so ... the answer is 2^19 πŸ˜ƒ

A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set?

1) 32
2) 37
3) 40
4) 43
5) 50

A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set?

1) 32
2) 37
3) 40
4) 43
5) 50


Range = largest - smallest = 25.... therefore largest = 25 + smallest.... so to make the largest number as large as possible the smallest number shuld be as large as possible.. considering the fact that the median is 25... the largest possible value for the smallest no. is 25 ..... therefore the greatest possible value for the largest no. is 50... therefore the answer is the 5th option...

Well here is where i bounce in !!! Will try to contribute as much as I can !! Well this was a spam to subscribe.

1) If n and y are positive integers and 450y = n^3, which of the following must be an integer?

I. y/ II. y/ III. y/

a) None
b) I only
c) II only
d) III only
e) I, II and III.

Cheers!
Satish

1) If n and y are positive integers and 450y = n^3, which of the following must be an integer?

I. y/ II. y/ III. y/

a) None
b) I only
c) II only
d) III only
e) I, II and III.

Cheers!
Satish

450 = 25 * 2 * 9
hence y = 4 * 3 * 5 * k^3 where k is an integer
y is definitely divisible by 1 only
hence B πŸ˜ƒ

Hey guys,

can u help me out with these??

1) A square countertop has a square tile inlay in the cente, leaving an untiled stripof uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39, which of the following could be the width in inches of the strip?

a) 1.5
b) 3
c) 4.5

a) a only
b) b only
c) a and b only
d) a and c only
e) a, b and c

2) If n is a positive integer and n^2 is divisible by 72, then the largest possible integer that must divide n is

a) 6
b) 12
c) 24
d) 36
e) 48

3) Whcih of the following is the least positive integer that is divisible by 2,3,4,5,6,7,8,9 ?

a) 15120
b) 3024
c) 2520
d) 1890
e) 1680

Could you post your ans with the explns??

Hey guys,

can u help me out with these??

1) A square countertop has a square tile inlay in the cente, leaving an untiled stripof uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39, which of the following could be the width in inches of the strip?

a) 1.5
b) 3
c) 4.5

a) a only
b) b only
c) a and b only
d) a and c only
e) a, b and c

answer is e .. coz irrespective of the length of the strip we can always find a square tile inside satisfying the given ratio

2) If n is a positive integer and n^2 is divisible by 72, then the largest possible integer that must divide n is

a) 6
b) 12
c) 24
d) 36
e) 48
should not the question be least possbl integer that mst divide n ?

3) Whcih of the following is the least positive integer that is divisible by 2,3,4,5,6,7,8,9 ?

a) 15120
b) 3024
c) 2520
d) 1890
e) 1680

Could you post your ans with the explns??
lcm of all the numbers 2520