Trouble DS Questions

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Trouble DS Questions

by shashank.mehra » Tue Jun 16, 2009 11:18 am
Hi Guys,

My GMAT is due for July 22 and I am encountering a lotta trouble with the DS. Can anyone help me with following questions on DS. I have written the question along with the logic that I believe is right


Q1. In the xy-plane, does the line with eqn y=3x+2 contains the point (r.s)?

1) (3r + 2 – s)(4r + 9 – s)=0
2) (3r + 2 – s)(4r – 6 – s)=0

Each individual statement is sufficient to answer. See from both the statements you get 3r + 2 = s. So if you substitute (r,s) in the given eqn y = 3x + 2, what you get is s= 3r + 2.

But GMAT prep says that both statements are required.

Q2. A certain one-day seminar consisted of a morning session and an afternoon session. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?

(1) ¾ of the people attended both sessions
(2) 7/8 of the people attended the afternoon session

GMAT Prep says that Statement (2) alone can answer. I believe both are required. My logic is
If M indicates the number of guys who attended the morning session then…..

128 = M + (7/8)*128 + (3/4)*128

Q3. Each employee on a certain task force is either a manager or a director. What percent of the employees on the task force are directors.

1) The arithmetic mean of salaries of the managers on the task force is USD 5000 less than the average salary of all employees on the task forice
2) The arithmetic mean of the salaries of the directors on the task force is USD 1500 greater than the average salary of all employees on the task forice.

I believe that both the statements cannot answer. My logic

Let S1 = sum total of manager salaries, M = total no. of managers
S2= Sum total of Directors’ salaries, D= total no. of directors

Statement 1. (S1/M) + 5000 = ((S1 + S2)/(M + D)

Statement 2. (S1/D) - 15000 = ((S1 + S2)/(M + D)

I don’t think that from the above equations, one can solve for D & M

Q4. Given a sequence a1, a2, a3……. a15

In the sequence shown, an = an-1 + k, where 2 =< n =<15 and k is a non-zero constant. How many of the terms in the sequence are greater than 10?

(1) a1 = 24
(2) a8 = 10

this is the case of a AP. As per me both statements are required. GMAT Prep says that Statement (2) is required.

Thanking in anticipation
Source: — Data Sufficiency |

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IMO

by kc_raj » Tue Jun 16, 2009 4:07 pm
1. C both are required, because in 1. s=4r+9 or s=3r+2
same ways in 2. s=4r-6 or s=3r+2,
combining both statements s could only be 3r+2, so both are required

4. B, because if a8=10, all terms after a8 are greater than 10, i.e 15-8=7

2. 128=Monly+Aonly+both, Aonly+both=7/8*128=112, Monly=128-112=16,
B is correct,

3. ms/M=(ms+ds)/(M+D) -5000
ds/D=(ms+ds)/(M+D)+1500

ms+ds=(M+D)*(ms+ds)/(M+D)-5000M+1500D
5000M=1500D
C is correct, both are required.

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Thanks a lot. Doubt on q4

by shashank.mehra » Tue Jun 16, 2009 10:50 pm
Thanks a ton for your solutions. But I still got my doubts on Q4. If A8 = 10 then the succeeding terms can be either postive or negative depending upon whether K is negative or positive. Pl comment

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by shashank.mehra » Wed Jun 17, 2009 12:24 am
alrite got it. a8 is the middle term. thanx