GMAT Data Sufficiency Discussions

Venn diagram is the best way to solve this q.

4% of French students study both the subjects.

Statement 1:
==========
16 students study both the subjects.So 4% of French studying students = 16 .100% french studying students = 16*25.But we don't the no.of students studying Japanese (atleast 100)

So this is not suff.

Statement 2:
==========
10% of Japanese students study both the subjects which will become 4% of French studying students.So this wud be suff to solve the problem.

Ahhh!!! we have to find which one is more.... french studying students or japanese AND not actual number of students in each class... GOt the point... thanks a ton....

Venn diagram is the best way to solve this q.

4% of French students study both the subjects.

Statement 1:
==========
16 students study both the subjects.So 4% of French studying students = 16 .100% french studying students = 16*25.But we don't the no.of students studying Japanese (atleast 100)

So this is not suff.

Statement 2:
==========
10% of Japanese students study both the subjects which will become 4% of French studying students.So this wud be suff to solve the problem.

Is m a prime number? m is a positive integer

1) No integer in the interval 1 and m^2 + 1, both exclusive, divides m exactly
2) No integer in the interval 1 and m + 1, both exclusive, divides m exactly


Bhavin....Pls throw some light on this .... no one has convincingly answered this Q 😞

Is m a prime number? m is a positive integer

1) No integer in the interval 1 and m^2 + 1, both exclusive, divides m exactly
2) No integer in the interval 1 and m + 1, both exclusive, divides m exactly


Bhavin....Pls throw some light on this .... no one has convincingly answered this Q :(


IMO: E

Since m is a positive integer, consider the conditions for m=1:
1. Interval will be (1, 2). Since both are exclusive, the condition stands. But 1 is not prime.
2. Interval will again be (1, 2). Since both are exclusive, the condition stands. But 1 is not prime.

What is the OA?

@ grtembey,

Your explanation is on track. But, if we are able to say that:-
"m" is not prime for 1 and for 2, then answer should be D

IMO: E

Since m is a positive integer, consider the conditions for m=1:
1. Interval will be (1, 2). Since both are exclusive, the condition stands. But 1 is not prime.
2. Interval will again be (1, 2). Since both are exclusive, the condition stands. But 1 is not prime.

What is the OA?
Is m a prime number? m is a positive integer

1) No integer in the interval 1 and m^2 + 1, both exclusive, divides m exactly
2) No integer in the interval 1 and m + 1, both exclusive, divides m exactly


Bhavin....Pls throw some light on this .... no one has convincingly answered this Q :(


I wud go with option D for the above one.Only number satisfying the above condition is m=1 which is neither prime nor composite.
Is m a prime number? m is a positive integer

1) No integer in the interval 1 and m^2 + 1, both exclusive, divides m exactly
2) No integer in the interval 1 and m + 1, both exclusive, divides m exactly


Bhavin....Pls throw some light on this .... no one has convincingly answered this Q :(


Sorry Elan...have logged in after a long time !

IMO, Ans is D ...

Even a prime no m has 2 factors, 1 and m...
And range of factors for any given integer n lies between 1 and n inclusive..

St 1: Since m is a positive factor, m^2 is greater than 1...so range between 1 and m^2 + 1 includes m....hence, for any no equal to or greater than 2 for m, there would be a factor in the range...which is not permissible.

Hence, 1 and m have to be the same no. 1 is not prime...conclusive, sufficient...

Similarly for St 2 as well...

Hence, IMO Ans D

If IxI denotes the greatest integer less than or equal to x, is zero?

1) = 0
2) = 0

Please answer with explanation.

If IxI denotes the greatest integer less than or equal to x, is zero?

1) = 0
2) = 0

Please answer with explanation.



From statement (1): it is sufficient that = 0. because, 0 similarly, from statement (2); it is also sufficient that = 0, because, 0
therefore, either statement is sufficient to answer the question. hence option (D).

The average weight of the women in a room is 120 lbs, and the average weight of the men in the room is 150 lbs. What is the average weight of the people in the room?

(1) There are twice as many men as women in the room.

(2) There are a total of 120 people in the room.

IMO = A

1) if women = x, men = 2x, Avg wt = 140 ---> Sufficient
2) we don't know ratio , so can't find avg wt-------> Insufficient


The average weight of the women in a room is 120 lbs, and the average weight of the men in the room is 150 lbs. What is the average weight of the people in the room?

(1) There are twice as many men as women in the room.

(2) There are a total of 120 people in the room.
The average weight of the women in a room is 120 lbs, and the average weight of the men in the room is 150 lbs. What is the average weight of the people in the room?

(1) There are twice as many men as women in the room.

(2) There are a total of 120 people in the room.

It can be solved by 1st option only. If number of women is W, then numbe rof men is 2W. Total weight of women is 120W and total weight of men in 300W. So average weight will be 140. But by second option there is no definite solution.

OA for the above question is A ! u r right gys !! thanks !

The average weight of the women in a room is 120 lbs, and the average weight of the men in the room is 150 lbs. What is the average weight of the people in the room?

(1) There are twice as many men as women in the room.

(2) There are a total of 120 people in the room.


I will go with option A for the above DS

cud anybody help me out with this one(along with the explanations), please?

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 jewelery dealer sold the bracelet for $1,953.

(1) Let C.P. = x, Profit = .40x, Asking Price(A.P.) = 1.40x
But AP reduced by 10% = New AP = 0.90 X 1.40x => 1.26x
So, with new AP, Profit reduced to 26% because CP is constant and AP decreases.
SO, 403 = 0.26x --> x = 1550
So, A is Sufficient

( 2) there is "initially" word given in the Q, and nothing is given if the initial asking price and final selling price are same. I think we can't consider them equal. So, this will be insufficient.

SO, IMO = A

cud anybody help me out with this one(along with the explanations), please?

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 jewelery dealer sold the bracelet for $1,953.
cud anybody help me out with this one(along with the explanations), please?

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 jewelery dealer sold the bracelet for $1,953.


I will go with option A for the above DS

Option A is sufficient to answer the question. Option B is insufficient

The average weight of the women in a room is 120 lbs, and the average weight of the men in the room is 150 lbs. What is the average weight of the people in the room?

(1) There are twice as many men as women in the room.

(2) There are a total of 120 people in the room.

Is quadrilateral ABCD a rhombus?
(1) Line segments AC and BD are perpendicular bisectors of each other.

(2) AB = BC = CD = AD

Is quadrilateral ABCD a rhombus?
(1) Line segments AC and BD are perpendicular bisectors of each other.

(2) AB = BC = CD = AD



Neither statement alone is suff.Even combining both the statement we can't say if the quadrilateral is either a square or a rhombus.

I will go with option E