GMAT Problem Solving Discussions

If n is an integer and 100
1. n/36 is an odd integer
2. n/45 is an even integer

The exam answer says C but isn't that odd because from 2 itself I can see 180 as the answer. So I guess the answer should be B. Any clue?

The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997?

1. x>y
2. xy/100
My answer is D but exam says B. Can anyone please explain?

If x is not equal to 0, is sqr(x)/mod(x)
1. x 2. x > -1

My answer is E but exam says C. Please explain.

At a certain company each employee has a salary grade s that is at least 1 and at most 5.Each employee receives an hourly wage p in dollars%2C determined by the formula p=9.50 + 0.25(s - 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?

1. $.5
2. $1
3. $1.25
4. $1.5
5. $1.75

Now this is outrageous - my answer is 2 but exam says 3. How can this be??????

At a certain company each employee has a salary grade s that is at least 1 and at most 5.Each employee receives an hourly wage p in dollars%2C determined by the formula p=9.50 + 0.25(s - 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?

1. $.5
2. $1
3. $1.25
4. $1.5
5. $1.75

Now this is outrageous - my answer is 2 but exam says 3. How can this be??????


Whats hourly wage p in dollars%2C?
PearlCrystal Says
Whats hourly wage p in dollars%2C?


Sorry...mistake while copying from pdf. It should be 'hourly wage p in dollars determine by..?'
If x is not equal to 0, is sqr(x)/mod(x)
1. x 2. x > -1

My answer is E but exam says C. Please explain.


I think ..as per
1..X can be less than -1..in that case sqrt (X|) >1 so cannot be confirmed.
2. confirms the domain of X.. X|
The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997?

1. x>y
2. xy/100
My answer is D but exam says B. Can anyone please explain?


I worked it out as:
a=1997...........(1)
then b=1998=a.(100+x)/100.........................(2)
then c=1999=b.(100-y)/100== a........(3)
to compare eqns 1 & 3..checking if 3 > 1..
the non linear eqn comes down to.. xy/100 1997..
so all being positive..x-y >0... as xy>0..
so x>y..necessarily... so b itself is enough... 1.. is derived from 2..I think B can be right..
If n is an integer and 100
1. n/36 is an odd integer
2. n/45 is an even integer

The exam answer says C but isn't that odd because from 2 itself I can see 180 as the answer. So I guess the answer should be B. Any clue?


I believe it's B for sure..
At a certain company each employee has a salary grade s that is at least 1 and at most 5.Each employee receives an hourly wage p in dollars%2C determined by the formula p=9.50 + 0.25(s - 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?

1. $.5
2. $1
3. $1.25
4. $1.5
5. $1.75

Now this is outrageous - my answer is 2 but exam says 3. How can this be??????

r the solutions online or from a book.. This one is clear.. the answerer must have assumed the lower end as 0.. I think it has to be 2..
can any1plz give me d solution 2 this problem??

In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48((
(B) 64
(C) 50
(D) 144
(E) 160
aniruddha.maiti Says
r the solutions online or from a book.. This one is clear.. the answerer must have assumed the lower end as 0.. I think it has to be 2..



Got this from a pdf - not sure about the source as I got it from my friend.
can any1plz give me d solution 2 this problem??

In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48((
(B) 64
(C) 50
(D) 144
(E) 160



I'm getting the ans as 48.Here is the method

Divide the workers into 3 categories 10.

Cat A : Cat B : 5-10 yrs exp
Cat C : > 10 yrs exp

Cat A = 60% of the workforce
Cat B+ Cat c = 40% of the workforce
Cat c = 16 workers.

Also given that Cat A + Cat B = 90% of the worforce.So cat C forms 10% of the workforce which is 16.so total workforce = 160 workers.

Working it gives you : Cat B = 48.

Watz the OA?
can any1plz give me d solution 2 this problem??
In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
(A) 48((
(B) 64
(C) 50
(D) 144
(E) 160


total worker=X

0.40x >5

16 >10

0.90x
here 0.10x=16

so x=160

now 64 worker >5 & 16 >10


so more than 5 and less than 10

ans is 64-16=48
Two couples and one single person are seated at random in a row of five chairs. What is the probability that neither of the couples sits together in adjacent chairs?

1/5

3/8
2/5
Two couples and one single person are seated at random in a row of five chairs. What is the probability that neither of the couples sits together in adjacent chairs?
1/5

3/8
2/5


Hey Rockstar,
Same problem and solution has been posted here :
http://www.pagalguy.com/forum/gmat-and-related-discussions/19823-gmat-problem-solving-discussions-212.html#post1487550

Hope that helps !!
PLZ help me in this question..
If k, m, and t are positive integers and + = , do t and 12 have a common factor greater than 1 ?
(1) k is a multiple of 3.
(2) m is a multiple of 3.
While on a straight road, car
X and car Y are traveling at different constant rates. If car X is now 1 mile ahead of car Y, how many minutes from now
will car X be 2 miles ahead of car Y ?



(1) Car X is traveling at 50 miles per hour and car Y is traveling at 40 miles per hour.

(2) 3 minutes ago car X was 1/2 mile ahead of car Y.


A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH Statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.



from 1st option it is clear that car x gains 10miles per hour over car y.so we can find how much time it requires to gain 1mile over car y :
10 mile gain in 1hour(60min)
so 1 mile gain =1*60/10=6min

so option A is sufficient

now take option b
if 3 minutes ago car X was 1/2 mile ahead of car Y and now 1 mile ahead so in 3 mins car x run 1/2 mile
so time it takes to run 1 mile=1*3/(1/2)=6 mins
so it is also sufficient.
ans is D
PLZ help me in this question..
If k, m, and t are positive integers and + = , do t and 12 have a common factor greater than 1 ?
(1) k is a multiple of 3.
(2) m is a multiple of 3.


I thnk question is-
k+m=t
in that case , answer is C
PLZ help me in this question..
If k, m, and t are positive integers and + = , do t and 12 have a common factor greater than 1 ?
(1) k is a multiple of 3.
(2) m is a multiple of 3.


Hello sheetal,
Could you clarify the question, if it is k+m=t ...Ans is C...