GMAT Data Sufficiency Discussions

IMHO,
D....each statement alone is sufficient.

How? Statement 2 may be a square as well. right?

Yes...but a square is also a type of rhombus...
Rhombus is the superset and squares are a subset of it....because any square will always have the properties of a rhombus (viz. opposite sides equal and parallel,adjacent sides equal)...in addition, squares have few additional properties of their own (perpendicular sides)....so all squares are necessarily a rhombus, but a rhombus need not be a square...

Plz correct if wrong!

Question no 43 in DS in OG12. I am not getting the explanation. Can some one help?

The question is:

What is the tenths digit in the decimal representation of a certain number?
1) The number is less than 1/3
2) the number is greater than 1/4

Answer E, Both statements together are not sufficient.

Explanation:
1) Since the number is less that 1/3, the tenths digit can be 0,1,2, or 3; NOT sufficient
2)Since the number is greater than 1/4, the tenths digit can be 2,3,4,..,9; NOT sufficient.
From 1 and 2 taken together, the number, n, is greater than 1/4 but less than 1/3. The tenths digit can be 2 or 3.

Please help me understand how do I get to know what are the tenth digits for all the number less than 1/3 and greater than 1/4 .

Thanks

Question no 43 in DS in OG12. I am not getting the explanation. Can some one help?

The question is:

What is the tenths digit in the decimal representation of a certain number?
1) The number is less than 1/3
2) the number is greater than 1/4

Answer E, Both statements together are not sufficient.

Explanation:
1) Since the number is less that 1/3, the tenths digit can be 0,1,2, or 3; NOT sufficient
2)Since the number is greater than 1/4, the tenths digit can be 2,3,4,..,9; NOT sufficient.
From 1 and 2 taken together, the number, n, is greater than 1/4 but less than 1/3. The tenths digit can be 2 or 3.

Please help me understand how do I get to know what are the tenth digits for all the number less than 1/3 and greater than 1/4 .

Thanks


Tenths digit= the digit right after the decimal in a two-digit decimal number.
Eg. 7 is the tenths digit in 6.72
Here,
the no. is less than 1/3(0.33)...so, it may be anywhere between 0 and 0.32..but we cannot pinpoint which one, so we cannot say with certainty what is the tenth digit..
Similarly, it is greater than 0.25..so it can be any no. b/w 0.26 to infinity (infact, 0.2500001 to infinity)..again, we cannot say the precise value of the tenths digit, because the number has not been pinpointed-only it's range has been given.
BOTH TOGETHER: The no. is between 0.25 and 0.3333, but again, it's range has been provided, the no. hasn't been pinpointed, so we can't say its tenth digit with certainty..hence the question can't be answered

Hope this helped!

Hi, need help in this Q:

A total of 10 women and 20 men reside in the 30 flats that are in a certain building, one person to each flat. if a person is to select one
of the flat at random, what is the probability that the resident of the
flat selected will be a woman who is a student?

(1) Of the women, 6 are students.
(2) Of the women, 8 are not students

i think the answer should be A or statement 1alone as i know how many are students. rest of the 4 can be cook, teacher, college kid, grandma; BUT 6are students for sure.


now the answer is given as D (each statement alone can do)

now where am i wrong ? please correct my approach

You have a point....in statement II it is given that 8 are not students...the rest 2 need not be students...
What is the source of the question?

Hi, need help in this Q:

A total of 10 women and 20 men reside in the 30 flats that are in a certain building, one person to each flat. if a person is to select one
of the flat at random, what is the probability that the resident of the
flat selected will be a woman who is a student?

(1) Of the women, 6 are students.
(2) Of the women, 8 are not students

i think the answer should be A or statement 1alone as i know how many are students. rest of the 4 can be cook, teacher, college kid, grandma; BUT 6are students for sure.


now the answer is given as D (each statement alone can do)

now where am i wrong ? please correct my approach

You have a point....in statement II it is given that 8 are not students...the rest 2 need not be students...
What is the source of the question?


i found it in some 1000DS pdf, the Qs quality is good

the 2nd statement suggest 8 are not students which mean the balance may or may not be. here u can find probability of other 2 to be student and then multiply with the probability of finding the women among the total flats as student.
this should give u def answer.
hence each statement alone will be sufficient.

DS: numbers greater than 30 : GMAT Data Sufficiency (DS)

If the average (arithmetic mean) of 4 different numbers is 30, how many of the numbers are greater than 30?

(a) None of the 4 numbers is greater than 60.
(b) 2 of the 4 numbers are 9 and 10, respectively.



now the solution of this Q is given as C (this is OA) but i was thinking that the Q says average of 4 numbers and not average of 4 POSITIVE numbers.....
i can say rest of the 2numbers be +1000 and -800 something also... just to make the average come to 30.
shouldnt the answer be E?

is OA debatable in this case or is it an unsaid rule in gmat that all the average Qs would be positive only?
DS: numbers greater than 30 : GMAT Data Sufficiency (DS)

If the average (arithmetic mean) of 4 different numbers is 30, how many of the numbers are greater than 30?

(a) None of the 4 numbers is greater than 60.
(b) 2 of the 4 numbers are 9 and 10, respectively.



now the solution of this Q is given as C (this is OA) but i was thinking that the Q says average of 4 numbers and not average of 4 POSITIVE numbers.....
i can say rest of the 2numbers be +1000 and -800 something also... just to make the average come to 30.
shouldnt the answer be E?

is OA debatable in this case or is it an unsaid rule in gmat that all the average Qs would be positive only?



Lets analyse:

Statement 1:
none of the numbers are >60
cud be 59, 59, 59 and one -ve => 3 numbers above 30
cud be 33 and 29,29,29 => 1 no. above 30


Not conclusive

Statement 2:
two numbers are 9 and 10
others cud be anything from -infinity to +infinity, just taht avg has to come down to 30


Not conclusive


Statement 1+ statement 2:
sum of remaining 2 numbers = 30X4 - (10+9) = 101
since no numebr is greater than 60.
both the number have to be greater than 30 to meet the criteria

Ans: both statemnets together are sufficient

great explanation ! thanks

Is quadrilateral ABCD a rhombus?

(1) Line segments AC and BD are perpendicular bisectors of each other.

(2) AB = BC = CD = AD

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.


Here.. The differentiator between a square and rhombus would be the diagonals..
The Diagonals of a square are equal and bisect each other at right angles.
The Diagonals of a rhombus are not equal and bisect each other at right angles.

So both the statements are not sufficient..

Is quadrilateral ABCD a rhombus?

(1) Line segments AC and BD are perpendicular bisectors of each other.

(2) AB = BC = CD = AD

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

(1) as diag's are perpendicular, as in case of an rhombus, a is sufficient
(2) as four sides are equal its an square. & every square is an rhombus. So sufficient.

E is a set of consecutive even integers.what is there standard deviations

1. median is 23
2. range is 42.

Help

My answer is "C" . what you guys say ?

E is a set of consecutive even integers.what is there standard deviations

1. median is 23
2. range is 42.

Help

My answer is "C" . what you guys say ?



i think its B

1) doesnt say anything
2) we can find SD by range

E is a set of consecutive even integers.what is there standard deviations

1. median is 23
2. range is 42.

Help

My answer is "C" . what you guys say ?

X and Y are single digit positive interers.

IS X+Y multiple of 6 ?

1. X+4Y is even
2. YX ( y is tenth digit and x is ones digit) is divisible by 3

Help

i think its B

1) doesnt say anything
2) we can find SD by range

How to find SD with only range ?
gmatgmat40 Says
How to find SD with only range ?


sorry .. misread the question .. as there is no number of terms in the question , we need median as well

so OA is C)

IS N= 1 ?

1 . N| = 4N-6
2. |N
help