GMAT Data Sufficiency Discussions

The OA's are


1) E
2) C
3) E
4) E

Someone can please help me with the explanation for following questions

1)The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?
(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.
2). On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work?
(1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day.
(2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.
Someone can please help me with the explanation for following questions

1)The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?
(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.
2). On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work?
(1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day.
(2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.

Answer to Q 1 is D
Working with both statements eparately one arrives at side of the square = 8

As for Q 2, I'm unable to decipher the meaning of ratio of distance driven from home to work time to drive from home to work

Could u explain.
Is it D?
According to first statement and given data if m=n then p is also even and n+2=According to sec statement LCM of m and p is 30. Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. m>2 So possible values of m and p are 3 and 10 or 5 and 6 and in both the cases remainder is 1.
So both statements are individually sufficient.

Can anyone send me links of DS practice ques......i hv completed OG n before beginning the KAPLAN CATs, I'd like to do some more of it....DS is an area where i falter.

so plz plz help me.

yup i agree....
but for the 4th ques i feel OA is A.
ur views y u chose C

4) How many people heard the chairman's threat?
(A) The chairman threatened 3 employees each of whom repeated it to 4 friends who did not repeat it to any one else for the fear of persecution
(B) No one heard the threat twice


I'll try to explain here as why I chosen C -

Option A says that chairman threatened 3 employees and all those 3 employees repeated the threat to 4 of their friends. If its being assumed that the 3 empolyees have 4 different unique friends (i.e. no 2 employees have any common friends) then this option will be sufficient to answer the question and total no. of people who heard the threat will be 3x4=12. But no such information is given in this option.

Option B does say that no one heard the threat twice i.e. all the 4 friends of 3 employees were different.
Hence, by considering both Option A and B together, you can arrive at the answer.

But the OA is E, can anyone explain please ?
excellent dopa!!need a small help.....
i hvbeen preparing for over a month n hv foud tht DS is one of the area where i need to wrk. I hv done OG n need more practice in DS. Kindly suggest alternative stuff for good practice n breaking this DS jinx.
The problem is tht i seem to be solving them correctly bt am not confidentunless i see answers to them.

so plz help


Shrikant, I can suggest some materials but I am sorry that I dont have any pdf/soft copy available. I am not in India so my network has kinda become weak :huh:

At first, you can try to go through the DS section of OG 11 again if you have not already did that, you might be familiar with some questions, but thats ok...it will boost your confidence.

Then, you can go through the DS section of these books -
OG - Quant review - Some question might be same as OG 11.
Kaplan GMAT, 2007/08 Edition

there will be some other books definitely available in market which will be worth solving.

Cheers!

Statement (1) says that the chairman threatened 3 employees and all those 3 employees repeated the threat to 4 of their friends - we do not know if the 4 friends are unique or common to the 3 employees who first received the threat. Therefore Statement (1) is insufficient.

Statement (2) - only gives us information about the no. of times the threat was heard. It does not give us information about the no. of people who heard the threat - so insufficient.

Combining statements (1) & (2) - is still insufficient to answer the question because, even if we are told that no one heard the threat twice, we cannot come to a conclusion about the no. of people who heard the employees threat.

This is because, of the phrase "3 employees each of whom repeated it to 4 persons". The phrase can mean that each employee has 4 friends to whom they go and tell (OR) they all have 4 friends in common. Either way, the number of people who heard the threat cannot be inferred.

Hence the answer is (E).

Plz correct me if i'm wrong!

I'll try to explain here as why I chosen C -

Option A says that chairman threatened 3 employees and all those 3 employees repeated the threat to 4 of their friends. If its being assumed that the 3 empolyees have 4 different unique friends (i.e. no 2 employees have any common friends) then this option will be sufficient to answer the question and total no. of people who heard the threat will be 3x4=12. But no such information is given in this option.

Option B does say that no one heard the threat twice i.e. all the 4 friends of 3 employees were different.
Hence, by considering both Option A and B together, you can arrive at the answer.

But the OA is E, can anyone explain please ?
Statement (1) says that the chairman threatened 3 employees and all those 3 employees repeated the threat to 4 of their friends - we do not know if the 4 friends are unique or common to the 3 employees who first received the threat. Therefore Statement (1) is insufficient.

Statement (2) - only gives us information about the no. of times the threat was heard. It does not give us information about the no. of people who heard the threat - so insufficient.

Combining statements (1) & (2) - is still insufficient to answer the question because, even if we are told that no one heard the threat twice, we cannot come to a conclusion about the no. of people who heard the employees threat.

This is because, of the phrase "3 employees each of whom repeated it to 4 persons". The phrase can mean that each employee has 4 friends to whom they go and tell (OR) they all have 4 friends in common. Either way, the number of people who heard the threat cannot be inferred.

Hence the answer is (E).

Plz correct me if i'm wrong!

@arch,
I will try to put my point -

Your statement -
"3 employees each of whom repeated it to 4 persons". The phrase can mean that each employee has 4 friends to whom they go and tell (OR) they all have 4 friends in common.
We can be sure that all 3 employees do not have any friend in common by considering 2nd option that "no one heard the threat twice", that means that none of the 4 friends of 3 employees are common.
Else, if the 3 people have 1 or more friends in common, atleast one friend must have heard the threat twice or more than that.

So, the total no. of people who heard the threat is 12.

Am I going somewhere wrong ?

Hi Dopa,

Well.. this was what I meant -

Lets take 3 employees - X, Y and Z; the statement in the question says
"3 employees each of whom repeated it to 4 persons" This can mean many things -

X, Y and Z EACH go to 4 persons and tell them about the threat
(OR)
X, Y and Z ALL go to 4 persons and tell them about the threat.

So even if we have information from statement (2) - that no person heard the threat twice, we DON'T have sufficient information to answer the question.

I hope this is clear..!

@arch,
I will try to put my point -

Your statement -
"3 employees each of whom repeated it to 4 persons". The phrase can mean that each employee has 4 friends to whom they go and tell (OR) they all have 4 friends in common.
We can be sure that all 3 employees do not have any friend in common by considering 2nd option that "no one heard the threat twice", that means that none of the 4 friends of 3 employees are common.
Else, if the 3 people have 1 or more friends in common, atleast one friend must have heard the threat twice or more than that.

So, the total no. of people who heard the threat is 12.

Am I going somewhere wrong ?

Puys, try these 2 D.S questions --

1. Three segments are drawn from opposite corners of a hexagon to form six triangles.These segments all bisect each other at point A. Are all of the triangles equilateral?
A. all six sides of hexagon are the same length.
B. the three segments drawn between the opposite corners are equal length.

2. If a and b are integers, and a > |b|, is a b A. a B. ab >= 0

Puys, try these 2 D.S questions --

1. Three segments are drawn from opposite corners of a hexagon to form six triangles.These segments all bisect each other at point A. Are all of the triangles equilateral?
A. all six sides of hexagon are the same length.
B. the three segments drawn between the opposite corners are equal length.

2. If a and b are integers, and a > |b|, is a b A. a B. ab >= 0

I would say this
1. A
2. C

What are the answers available with you ?

Try these DS Questions

1. Last year in a group of 40 entrepreneurs, 31 reported a net profit and
16 had investments in equities. How many of the entrepreneurs
did not report a net profit nor invest in equities last year?
(1) last year 22 of the 40 entrepreneurs
reported a net profit and had investments
in equities.
(2) last year 34 of the 40 entrepreneurs
reported a net profit or invested in
equities, or both.

2. If the average (arithmetic mean) of the assessed values
of x estates is $100,000 and the average of the assessed
values of y other estates is $400,000, what is the average
of the assessed values of the x+y estates ?
(1) x+y=24
(2) x=2y


Try these DS Questions

1. Last year in a group of 40 entrepreneurs, 31 reported a net profit and
16 had investments in equities. How many of the entrepreneurs
did not report a net profit nor invest in equities last year?
(1) last year 22 of the 40 entrepreneurs
reported a net profit and had investments
in equities.
(2) last year 34 of the 40 entrepreneurs
reported a net profit or invested in
equities, or both.

2. If the average (arithmetic mean) of the assessed values
of x estates is $100,000 and the average of the assessed
values of y other estates is $400,000, what is the average
of the assessed values of the x+y estates ?
(1) x+y=24
(2) x=2y



Is it D & B?
ashishjha100 Says
Is it D & B?

I had also picked the same, but the OA were mentioned as B & C, which I do not agree with.
jainrachit Says
I had also picked the same, but the OA were mentioned as B & C, which I do not agree with.

My picks are D and C

Q1) From the venn diagram, entrepreneurs registering net profit = 31 and those investing in equities = 16
Stem 1: 22 of these recorded both profits and investment in equities
Hence those reporting only profits = (31-22) = 9
Those investing in equities = (16-22) = -6
Hence entrepreneurs reporting profit, or imvesting in equities or both = 9+22+(-6) = 25
Hence companies reporting neither profits nor investing in equities = (40-25) = 15....sufficient
From Stem 2: Entrepreneurs registered neither profits nor investments = (40-34) = 6......=>sufficient

Hence D

Q2) Let x nos be x1,x2,x3.....xx and y nos be y1,y2,y3......yy
Sum of x nos = (x1+x2+x3+x4......+xx)= 100000x and sum of y nos = (y1+y2+y3....+yy)= 400000y
Avg of x +y nos = (100000x+400000y)/(x+y)
Stem 1: x+y = 24.....=>Not sufficient alone
Stem 2: x=2y.....=>Not sufficient alone
Together we can find values of x and y and he avg can be found

Hence OA is C

wts the explanation for q1?

thanks
My picks are D and C

Q1) From the venn diagram, entrepreneurs registering net profit = 31 and those investing in equities = 16
Stem 1: 22 of these recorded both profits and investment in equities
Hence those reporting only profits = (31-22) = 9
Those investing in equities = (16-22) = -6
Hence entrepreneurs reporting profit, or imvesting in equities or both = 9+22+(-6) = 25
Hence companies reporting neither profits nor investing in equities = (40-25) = 15....sufficient
From Stem 2: Entrepreneurs registered neither profits nor investments = (40-34) = 6......=>sufficient

Hence D

Q2) Let x nos be x1,x2,x3.....xx and y nos be y1,y2,y3......yy
Sum of x nos = (x1+x2+x3+x4......+xx)= 100000x and sum of y nos = (y1+y2+y3....+yy)= 400000y
Avg of x +y nos = (100000x+400000y)/(x+y)
Stem 1: x+y = 24.....=>Not sufficient alone
Stem 2: x=2y.....=>Not sufficient alone
Together we can find values of x and y and he avg can be found

Hence OA is C

wts the explanation for q1?

thanks

Avg of x +y nos = (100000x+400000y)/(x+y)

Stem 2: x=2y substitute in equation

(100000*2y+400000y)/(2y+y)=600000/3= 200000

Then hw can 2 be insufficient?????
Avg of x +y nos = (100000x+400000y)/(x+y)

Stem 2: x=2y substitute in equation

(100000*2y+400000y)/(2y+y)=600000/3= 200000

Then hw can 2 be insufficient?????

Yes, I have used the same reasoning.. and thus,B is sufficient.

Unfortunately, I do not have the explanations for the OA's. But I think with mutual consensus, the answers are D & B.

Thanks to everyone.
Avg of x +y nos = (100000x+400000y)/(x+y)

Stem 2: x=2y substitute in equation

(100000*2y+400000y)/(2y+y)=600000/3= 200000

Then hw can 2 be insufficient?????

oh yea......statement 2 is suff.

thanks...

1. Three segments are drawn from opposite corners of a hexagon to form six triangles.These segments all bisect each other at point A. Are all of the triangles equilateral?
A. all six sides of hexagon are the same length.
B. the three segments drawn between the opposite corners are equal length.

2. If a and b are integers, and a > |b|, is a b A. a B. ab >= 0

The OAs are -

1. C
2. E

Try attempting now...

1. Three segments are drawn from opposite corners of a hexagon to form six triangles.These segments all bisect each other at point A. Are all of the triangles equilateral?
A. all six sides of hexagon are the same length.
B. the three segments drawn between the opposite corners are equal length.

2. If a and b are integers, and a > |b|, is a |b A. a B. ab >= 0

The OAs are -

1. C
2. E

Try attempting now...

I remember q1 from OG where i had differed frm option C n here goes my explanation why i chose A
Statement 1 says that all sides of the hexagon are equal.....which means the figure is a regular hexagon, whose each interior angle = 120 deg
Hence diagonals of this hexagon bisect the angle and 6 triangles are formed, whose each angle = 60 deg
Hence all 6 triangles are equilateral.

Statement 2: Each diagonal bisects each other....=>does not say anything about the sides of the figure n hence is not sufficient.

OA is A
i cud nt understand the explanation either...if any of u cud explain i'll be very grateful

q2) Is it a-IbI
thanks