My take (A) Stmt 1 is sufficient...

STarting with the fact that mode=7,
This implies that 7 occurs max times:: surely more than once..
Now if 7 appeared 4 times, the sequence in increasing order will be:
7,7,7,7,a,b OR a,7,7,7,7,b OR a,b,7,7,7,7 In none of the cases, we can hav median=6 as mentioned

So 7 occurs twice or thrice, and since 7> median the two/three occurances must be on right hand side of mid-point
Now if 7 were the greatest number, then all numbers have to be equal to 7 ( 'coz mean=7)
which is not the case...(median=6)

So 7 occurs twice and on 4th and 5th order in increasing sequence...
The series as of now stands at: a,b,c,7,7,d

Since median=6, => c=5
So the seuence becomes: a,b,5,7,7,d
Mean=7 => sum =42
a+b+5+7+7+d=42
or a+b+d=23 (3)

Now taking condition (1) (a+b) = (7+d)/5

Putting in(3) (7+d)/5 +d =23 This gives d=18...

So statement (1) is sufficient

(2) tells us what we already know.... So not sufficient

Hence answer = (A)

Six numbers are randomly selected and placed within a set. If the set has a range of 16, a median of 6, a mean of 7 and a mode of 7, what is the greatest of the six numbers?
(1) The sum of the two smallest numbers is one-fifth of the sum of the two greatest numbers
(2) The middle two numbers are 5 and 7

Well here is where i bounce in !!! Will try to contribute as much as I can !! Well this was a spam to subscribe.


""" I DID'NT MEANT TO """ --- MODS PLEASE FORGIVE !!

1. E
the satement itself says no is of form 4y+3
option A says its an odd multiple of 3 and Op B says multiple of 5, combining all 15z+60 . no unique no

2.C
statement gives the sequence GYR (1,2,3...............)
op A says that either R or G at 18 so no solution but B says no R at 18. So gives a unique answer when put together.

but since the statement says about all the tiles in row, and only G has no precedence requirement. The pattern GYR should follow from the first tile and hence no need of any other statement to deduce answer, but it has no corresponding answer choice.

3.C
rearranging says if b

Some good DS questions i came across...

1. When the positive integer x is divided by 4, is the remainder equal to 3?
(1) When x/3 is divided by 2, the remainder is 1.
(2) x is divisible by 5.


2. In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row?
(1) The 18th tile in the row is not yellow.
(2) The 19th tile in the row is not green.


3. If a and b are integers, and a > |b|, is a b < a - b?
(1) a < 0
(2) ab 0




4. What is the standard deviation of Q, a set of consecutive integers?
(1)Q has 21 members.
(2)The median value of set Q is 20

If you consider the asking price and the selling price to be the same then you can get the answer from 2nd statement also else not.
Where did u pick this question from?

hi man thanks.i got this from a book called gmat plus. it is free to download as i have found on one site while searching for GMAT tips;

here is the link it consists of all the sections

My Home Page

bye

A jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent of the original cost. What was the original cost of the bracelet?
(1) After reducing this asking price by 10 percent, the jewelry dealer sold the bracelet at a profit of $403.
(2) The jewelry dealer sold the bracelet for $1,953.

can some one help me in this ;;the answer given is A but with option 2 also we can get the answer??

thanks in adv

If you consider the asking price and the selling price to be the same then you can get the answer from 2nd statement also else not.
Where did u pick this question from?

A jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent of the original cost. What was the original cost of the bracelet?
(1) After reducing this asking price by 10 percent, the jewelry dealer sold the bracelet at a profit of $403.
(2) The jewelry dealer sold the bracelet for $1,953.

can some one help me in this ;;the answer given is A but with option 2 also we can get the answer??

thanks in adv

c153 Says

where do we find answers to these??

Please post DS questions in the corresponding thread.

I request the Mods to move the above posts to DS section...

[LEFT]What is the number of female employees in Company [/LEFT]

[LEFT]X ?[/LEFT]



(1) If Company
[LEFT]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.[/LEFT]


[LEFT](2) Company

[/LEFT]

[LEFT]X has 105 more male employees than female employees.[/LEFT]


[LEFT]is it C??[/LEFT]

I took my GMAT long time back so I dont remember option corresponds to what but the answer is : Both statements are required. Which I guess sud be C

Explaination: 1) A is not sufficient as it gives the current ratio that doesnt give us a single solution.

B) No single solution.possible.

Using Both- Current ratio- 16:9. Difference 16-9=7.

So number of female employees: [{current difference (105)/ ratio difference (7)}* Ratio of female employees (9)] 14
= [{105/7}*9]-14 = [ 15*9 ] 14 = 135-14 = 121

Hence the answer is C

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.
is it C??

Are at least 10% of the people in Country X who are 65 years old or older employed?

1) In Country X, 11.3% of the population is 65 years old or older.

2) In Country X, of the population 65 years old or older, 20% of the men and 10% of the women are employed. x

Its B.
Irrespective of no of men or women the percentage cannot drop below 10.

Are at least 10% of the people in Country X who are 65 years old or older employed?

1) In Country X, 11.3% of the population is 65 years old or older.

2) In Country X, of the population 65 years old or older, 20% of the men and 10% of the women are employed. x

Is it D?
According to first statement and given data if m=n then p is also even and n+2=< p =<2n-2. In this case the remainder can be anything between 2 to 2n-2 which is always greater than 1.
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.

i concur !!
whats the rite answer
but i ve read in some books tht although its not necessary for the two answer to be the same(calculated frm the two separate options) but a question has never been cited to give two different answers.
i also faced a couple of similar questions whr i marked D as the answer but at the end found myself to be wrong...ans was either A or B
but thrs no flaw in the reasoning given above..
plz explain......

Q. The integers m and p are such that 2

1 ?

1. the greatest common factor of m and p is 2

2. the least common multiple of m and p is 30

Is it D?
According to first statement and given data if m=n then p is also even and n+2=< p =<2n-2. In this case the remainder can be anything between 2 to 2n-2 which is always greater than 1.
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.

Q. The integers m and p are such that 2

1 ?

1. the greatest common factor of m and p is 2

2. the least common multiple of m and p is 30

aim-wsc Says

Anybody interested sharing his/her DS strategies?

@aim Keep posting questions and I am sure many would join in with their strategies and approach.

Anybody interested sharing his/her DS strategies?

is it B?
1) If N already has 2 a factor then it will have 4 factors but 2 is not a factor then N would have 3 factor. So number of factors is uncertain
2) Squaring a number would not change distinct prime factors. If N^2 has 4 then N has 4

Rusty so not very sure of the answer

Correct it is B to cite an example

Stem 1 - 2N can be 2 x 105 this may have prime factors viz 2, 3, 5, 7 and N will have prime factors 3, 5, 7 OR 2N can be 2 x 210 this may have prime factors 2, 3, 5, 7 and N will have prime factors 2, 3, 5, 7. Insufficient

Stem 2 - Sufficient and reasoning as provide above

is it B?
1) If N already has 2 a factor then it will have 4 factors but 2 is not a factor then N would have 3 factor. So number of factors is uncertain
2) Squaring a number would not change distinct prime factors. If N^2 has 4 then N has 4

Rusty so not very sure of the answer

Ans is C. Am i correct?
From (1) we can infer y and z have same sign. Similarly from (2) x and y have same signs. So combining both x, y, z have same sign. So x(y+z) is greater than 0.

Correct and well explained

Here is one more that's posted in one of threads in this forum

How many different prime factors does N have?

(1) 2N has 4 different prime factors.
(2) N ^2 has 4 different prime factors.

Q If xyz 0, is x (y + z) 0?

(1) y + z = |y| + |z
(2) x + y| = |x| + y

Ans is C. Am i correct?
From (1) we can infer y and z have same sign. Similarly from (2) x and y have same signs. So combining both x, y, z have same sign. So x(y+z) is greater than 0.

Q If xyz 0, is x (y + z) 0?

(1) y + z = |y| + |z
(2) x + y| = |x| + y