GMAT Problem Solving Discussions

Hi
Can anyone please let me know if there is a way(formula) to find answers to such questions (as stated below) or we have to do take the crudest path...

What is the total number of integers between 100 and 200 that are divisible by 3?
Answer:33

It seems like the quotient obtained by deviding 100 (number of integers between 200 and 100 ) by 3

Thanks and regards

Sorry guys but I got my answer
I stumbled upon the principle of Inclusion and exclusion very nicly explained in the following:

I'm In ... No, I'm Out

50 people in cafeteria. 14 eat out of soup bar, 28 from salad bar and 14 eat from neither soup nor salad. 25 eat from sandwich bar. 10% of total eats from all three, 2 eat nothing at all and are only visiting the cafeteria.. How many a) eats only from soup bar?

coolest Says
50 people in cafeteria. 14 eat out of soup bar, 28 from salad bar and 14 eat from neither soup nor salad. 25 eat from sandwich bar. 10% of total eats from all three, 2 eat nothing at all and are only visiting the cafeteria.. How many a) eats only from soup bar?


Hmm.. Cudnt solve it completly.. Have got a lil rusted with my quant skills i gues.. very bad.. My 50 in gmat looks so undeserving now.. May be i relied too much on the options and thats how i saved my A*S.. But then i guess GMAT is all about using the options to ur advantage.. so dude- where r the options..???

i know with options this could have been easier , unfortunately i don't have the options for this 😞

coolest Says
50 people in cafeteria. 14 eat out of soup bar, 28 from salad bar and 14 eat from neither soup nor salad. 25 eat from sandwich bar. 10% of total eats from all three, 2 eat nothing at all and are only visiting the cafeteria.. How many a) eats only from soup bar?


This is incomplete I guess. Need some more data...like ratio or something.
12 ppl eat out at sandwich only. 22 eat out at soup only or salad only.
so we need a break up of this 22. A= soup only B= salad only, then A+B = 22.

somethin else is reqd.
if it is for sandwich then the answer is 12.

plz clarify...and tell us the source!!

Got this question from a friend of mine .. will ask him and get the source to you soon !

where do we find answers to these??

Hi
Can anyone please let me know if there is a way(formula) to find answers to such questions (as stated below) or we have to do take the crudest path...

What is the total number of integers between 100 and 200 that are divisible by 3?
Answer:33

It seems like the quotient obtained by deviding 100 (number of integers between 200 and 100 ) by 3

Thanks and regards


One way to do this is by AP
a=102
n=?
d=3
an = 198
an = a + (n-1)d
=> 198 = 102 + (n-1)3
=>33=n

Helps?

Rick travels to shool at 10 km/hr but reaches 6 min. late. Whats the distance to school in km?
a 2 b 15 c 16 d 20 e unable to determine

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

how to subscribe to this thread!!!

Some fundoo problems....
--------------------------------

8x(y^3) + 8 (x^3)y = /
What is xy?
(1) y>x
(2) x


8xy(x^2+y^2) = 16x^2*y^2
=> either xy=0 OR x^2+y^2 = 2xy => x=y
1) y>x so we are sure that x #y so the only option possible is xy=0 ... looks good
2) x
A : 1 is sufficient

:grab:

Can someone providesolutions with detailed answers to above questions? Appreciate your help.

Thanks

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

hi all,
i am maldini... i.t. proffession...2 years work ex..giving a new attempt at gmat after two failed tries at CAT...planning to give it in june 2007... i got the OG for gmat last week and started with my preparations..
have a doubt in that .. not sure if this is the right thread but cudnt find any specific one for math...

in pg 120 of OG 11 they have given a eg for probability of mutually exclusive and independent events. can someone explain the last line in that paragraph .. the say that P(A or C) is both >= .83 and
sorry again if this is not the right thread.. but someone please suggest where to post such discussions..
thanks in advance and happy preparations..
maldini

Rick travels to shool at 10 km/hr but reaches 6 min. late. Whats the distance to school in km?
a 2 b 15 c 16 d 20 e unable to determine

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

Rick travels to shool at 10 km/hr but reaches 6 min. late. Whats the distance to school in km?
a 2 b 15 c 16 d 20 e unable to determine
---------
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

50 = 22 + 15 + 14 - ( 9 + 1 * 3 ) + 1 + A

so A = 10
Hi,
Can someone help with solutions to the questions below.
Appreciate your help.
Thanks


Here are the answers...

3) see it as 2X3X4X.100 + 1
now any no. + 1 cannot be divided by that no. 3 is not divisible by 2 4 is not 3 and 5 is not by 4like wise so the above expression will not be divided by 100. 100n+1 is the form.

So least is 101 by which it is divisible. So option 5.


5) simple one!
If 9 then third side is 8. but 2+5
Similarily for 15 and 19.
So option 1 ..none!


how can u not get this one!
First is sufficient.
For second form the equations: T/3 = D, T/5 = B, D=B+20 .solve!

Both sufficient


9)16 feet /sec = 10.9 mil/hr so in half an hour its just under 6 milesbut we still dont knowif its greater than 6. so not sufficient

18 feet/sec in half hour is 6.13 milesbut we dont know how lessso none suffice

should be E


15) so counting from the bottom that is 15th. And 19 boards are above itso total 34.


1 85-32 = 53
5/9 of 53 = 29.444
rounded to 29


21) in 5 hours distance is 250 miles. In 30 it uses 1 gallon. So in 250 its 25/3. fraction of total fuel that is 12 = 25/(3X12) = 25/36


24) now total card remaining is 46 and total stock card remainingg is 8.

So probab is 8/46 = 4/23

26) u hav no information given about the composition of the group. There may be unemployed people too. If it was given that the group has only employed, student or employed studentsthen C wud be the answer. Not in this case.

27) X > 0.075 so answer is yes
X > 1.5 so answer is yes

So answer is D..each suffice

34) first option has percentageso number cant be known

second has a number but we dont kno about the actual numberso no relation can be determined

even when u combine bothno relation.

E


35) let the integers be a-5, a-4, a-3, a-2, a-1, a, a+1, a+2, a+3, a+4, a+5

average is 11a/11 = a.

so all we hav to find is a.

avg of first 9 is 7. so (9a-9)/9 = 7 so a = 8 sufficient

avg of last 9 is 9. so 9a+9/9 = 9 so a =8 sufficient

eachD


Also I am uploading the file with answers in it.

Took me some effort :D

Cheers!

Can someone please help me with the answers to the following

a. If x, y, and k are positive numbers such that (x/x+y)(10) + (y/x+y)(20) = k and if x A. 10
B. 12
C. 15
D. 18
E. 30


2.

In the xy-plane, what is the slope of line l?
(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x 1.

3.
Guys net income equals his gross income minus his deductions. By what percent did Guys net income change on January 1, 1989, when both his gross income and his deductions increased?
(1) Guys gross income increased by 4 percent on January 1, 1989.
(2) Guys deductions increased by 15 percent on January 1, 1989.

The answer for this is E, If i assume values say 100 and 50 , i can find answers , but if i assume equations i cannot..whats the funda..

Also, is there a place where one can find Gmat sets answers with explanations

Appreciate the help

Transmogrified..

@Transmogrified

a. If x, y, and k are positive numbers such that (x/x+y)(10) + (y/x+y)(20) = k and if x A. 10
B. 12
C. 15
D. 18
E. 30

When we solve the equation we get 10x/(x+y) = k -10
A. 10 => Not the answer K has to be greater than 10 as x,y & k are siupposed to be +ve
B. 12 => Put k = 12, we get x = 4y i.e yx
C. 15 => Put k = 15, we get x = y, this is wrong as per data
D. 18 => Put k = 18, we get 4x = y, this matches with our data.
E. 30 => Put K = 30 , we get 2x = -y ,

..there aught to be better way of solving this.

----


2.

In the xy-plane, what is the slope of line l?
(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x 1.

1 is sufficient, as the line l is parallel to y = 1-x, so same slope.
2 isn't sufficient, for more than many reasons

3.
Guys net income equals his gross income minus his deductions. By what percent did Guys net income change on January 1, 1989, when both his gross income and his deductions increased?
(1) Guys gross income increased by 4 percent on January 1, 1989.
(2) Guys deductions increased by 15 percent on January 1, 1989.

In-sufficient data. We need some correlation between the magnitudes of gross income amd deductions to solve this, like the ratio gross income to deductions ...
@Transmogrified

a. If x, y, and k are positive numbers such that (x/x+y)(10) + (y/x+y)(20) = k and if x A. 10
B. 12
C. 15
D. 18
E. 30

When we solve the equation we get 10x/(x+y) = k -10
A. 10 => Not the answer K has to be greater than 10 as x,y & k are siupposed to be +ve
B. 12 => Put k = 12, we get x = 4y i.e yx
C. 15 => Put k = 15, we get x = y, this is wrong as per data
D. 18 => Put k = 18, we get 4x = y, this matches with our data.
E. 30 => Put K = 30 , we get 2x = -y ,

..there aught to be better way of solving this.



It shud be Y and not X...20y = 10y +10y...so left with 10y

the better method!

Ok so till 10 + 10y/(x+y) = k ....its clear...now next step shud be..

take y in the denominator....
10 + 10/(1+x/y) = k

now for minimum value...maximise the Dr...that is maximise x/y ...which is y=x ...tho it cant be equal..but limiting case...so x/y = 1
that gives 10+10/(1+1) = 15

and for maximum...minimise Dr ...maximise Y as much...at y = infinity...x/y = 0

so it gives 10 + 10/(1+0) = 20

remember these are boundary points and hence the values can never be 15 and 20..but always between...

choose one such value from the option....only 18...voila!