GMAT Problem Solving Discussions

MBA
1211
I beg to differ from you. I guess ur explaination and ans both are wrong.
my pick wud be option A(statement 1 is sufficient).

Paralel lines have same slopes. Thus lines y=mx+b & y=(1-m)x +b+1 have same slopes
We can equate the slopes to get
m=1-m
which gives m=1/2 & thus solves it.

Statement 2 alone is anyways not sufficient

aah, didnt notice the word parallel in there....my mistake...accepted!
1212
harneet.m.kaur Says
Is the answer A ?


Yes. The OA is A.
Can you please provide the explanation?
1213
Yes. The OA is A.
Can you please provide the explanation?


Certainly

St 1 - k is parallel to the line with equation y = (1-m)x +b+1
which is y = (1-m)x+b+1

Eqn of a line is y = mx + c

and parallel lines have the same slope.
so slope of the line k is (1-m).

St 2 - Tells us the point of intersection but doesnot give any further details. If the line was perpendicular then slope could be dervied. Similarly if two intersection points were given - slope could be dervied.

Hope this helps 😃
1215

2. According to the graph above (attached) , when x = 3, y most nearly ?
(A) 1
(B)
(C) 0
(D)
(E) 1

How would one approach such problems ?
1216
I may sound harsh....ur ans is abso correct...bt explaination isnt.......while dis cud wrk in dis question, it mite nt work in oder similar situations....

the reason being 1-m is not a fixed ans for da slope of line....y=mx+c....its like saying dat we knew slope of line is m....n nw we have found out the slope to be 1-m.....


i have given an alternate explaination in post 119......i hope dat helps


Certainly not. But I quite dint understand your rationale for saying the explanation was note correct. Why do you say that (1-m) is not a fixed ans. I could not trace your post 119. Can you pls provide a link. Thanks
1218
Because it is in a variable,m... It is not a fixed ans. m can take any value.....u think it dis way...have u advanced in da direction of obtaining an answer?
A single line will have a single,unique slope......

1-m represents a family of lines having this slope,where m can vary.....




My post is on page no 121 of this thread itself


Makes Sense ...Thanks !!
1219

I beleive the answer for this should be C. Can anyone confirm / explain ?

What is the number of female employees in Company
X ?

(1) If Company
X were to hire 14 more people and all of these people were females, the ratio of the number of male employees to the number of female employees would then be 16 to 9.

(2) Company
X has 105 more male employees than female employees.



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.

1220

Guys,

Pls help me with these ones too

Train A leaves New York for Boston at 3 PM and travels at the constant speed of 100 mph. An hour later, it passes Train B, which is making the trip from Boston to New York at a constant speed. If Train B left Boston at 3:50 PM and if the combined travel time of the two trains is 2 hours, what time did Train B arrive in New York?
(1) Train B arrived in New York before Train A arrived in Boston.

(2) The distance between New York and Boston is greater than 140 miles.

(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.
8x(y^3) + 8 (x^3)y = /

What is xy?
(1) y>x
(2) x

(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.

1222

Ya....i agree with u.....

1. m/(f+14)=16/9
2. m=105+f

So C

1223

2. According to the graph above (attached) , when x = 3, y most nearly ?
(A) -1
(B)
(C) 0
(D)
(E) 1

How would one approach such problems ?

hey...the intercept of the curve on y axis is not clear nor u hav mentioned all the options ...so i wont be able to post the exact answer...but here goes the approach which u askd for:

the curve is a parabola with eq: (x-2)^2=4ay,
1) (x-2) because x-intercept of the parabola=2
2) u can find a by using the y-intercept. let us assume the y -intercept to be 3 then,
(-2)^2=4a*3
=>a=1/3
hence, (x-2)^2=4/3*y
substitute, x=3 in this, u ll get yr answer.

there's the other parabola y^2=4ax...thot u wud like to kno abt ....refer the attached diag.
1224

You are a Guru...Is there a place I can refer to for Coordinate Geometry and Stats Concepts ?

1225
Guys,

Pls help me with these ones too

Train A leaves New York for Boston at 3 PM and travels at the constant speed of 100 mph. An hour later, it passes Train B, which is making the trip from Boston to New York at a constant speed. If Train B left Boston at 3:50 PM and if the combined travel time of the two trains is 2 hours, what time did Train B arrive in New York?
(1) Train B arrived in New York before Train A arrived in Boston.
(2) The distance between New York and Boston is greater than 140 miles.
(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.
8x(y^3) + 8 (x^3)y = /
What is xy?
(1) y>x
(2) x
(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.

1) first statemnt is obviously sufficient...but m not sure if the second is....still i ll take a chance by marking option A

2)i didn't get yr ques....with the givn eq. we clearly get x=y and until we kno x or y...we wont be able to tell the absolute value of xy (i beliv that is wha is askd!)....let me kno where m mistaken
1226

A certain roller coaster has 3 cars, and a passenger is equally likely to ride any one of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?
a) 0
b) 1/9
c) 2/9
d) 1/3
e) 1
Please help!

1227

18. The figure above shows the dimensions of a rectangular board that is to be cut into four identical pieces by making cuts at points A, B, and C, as indicated. If x = 45, what is the length AB ?
(1 foot = 12 inches)
(A) 5 ft 6 in
(B) 5 ft in
(C) 5 ft 3 in
(D) 5 ft
(E) 4 ft 9 in


Hey Harneet,

Can you tell whats the correct choice for above question, I think it should be option C, I will post my explanation if its correct.
1228
Since, x=45, AP=PQ=6inches. Also, the figure is symmetrical so RB=20 ft/2=10 ft.
Now, RB=RA+AP+PB=10ft. Here, RA=PB
hence, PB=(10ft-6in)/2= 4ft 8in.
AB=AP+PB=4ft 8in + 6in =5ft 2in

can u chk the options?


Hi Holy_luv,

I think there's a calculation mistake here - (10ft-6in)/2 = (120-6)/2 = 57 inches i.e 4ft 9in.
So, AB = 4ft 9in + 6in = 5ft 3 in. so, option C should be correct, isnt it ?
1229

Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?
F.1/6
G.1/5
H.1/3
I.2/5
J.2/3

1230

Total no of ways to get a sum of 8 = 5 ( (2,6),(6,2),(3,5),(5,3),(4,4) )
no of ways of getting a 5 = 2 ( (3,5),(5,3))

So the prob of getting 5 = 2/5
Ans : I. 2/5

Cheers,
John

1231

There are 10 holes in line. There are 5 green, 2 blue and 3 red balls. If each ball must drop into a different hole. What is the probability that the 2 blue balls drop separate?

1232

Before being simplified, The instruction for computing incometax in country R were to add 2 percent of one's annual
income to the average(arithmatic mean) of 100 units of Country R's currency and 1 percent of one's annual income.
Which of the following represents the simplified formula for computing the income tax,in Country R's currency. for a
person in that country whose annual income is I.
a) 50 + I/200
b) 50 + 3I/100
c) 50 +I/40
d) 100+I/50
e) 100 +3I/100

can someon please solve this with explanation

1233

Is it 50 + I/40 ?!

Before being simplified, The instruction for computing incometax in country R were to add 2 percent of one's annual
income to the average(arithmatic mean) of 100 units of Country R's currency and 1 percent of one's annual income.
Which of the following represents the simplified formula for computing the income tax,in Country R's currency. for a
person in that country whose annual income is I.
a) 50 + I/200
b) 50 + 3I/100
c) 50 +I/40
d) 100+I/50
e) 100 +3I/100

can someon please solve hi with explanation