17. At a certain university, if 50 percent of the people who inquire about admission policies actually submit applications for admission, what percent of those who submit applications for admission enroll in classes at the university?
(1) Fifteen percent of those who submit applications for admission are accepted at the university.
(2) Eighty percent of those who are accepted send a deposit to the university.
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.
Is quadrilateral Q a square?
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length.
If x^2 + 5y =49,is y an integer?
1. 1
I was not satisfied with the answer I found on the book.Someone pls clarify
If x^2 + 5y =49,is y an integer?
1. 1
2. x^2 is an integer
I was not satisfied with the answer I found on the book.Someone pls clarify
Statement 1 (x is between 1 and 4)
X must be = 3 and Y= 8 to solve the equation.
As x could be 1,5; 2; 3; or 3,5 this statement is not sufficient.
Statement 2
Only says that x.x = integer. So x=1,2,3,4. Eg. x could be 4 and y 9. We dont know anything about y. Also insufficient.
Using both
If x is an integer and is between 1 and 4; x must be 3 and so y=8.
Answer would be C.
Which is the correct one in your book?
Statement 1 (x is between 1 and 4)
X must be = 3 and Y= 8 to solve the equation.
As x could be 1,5; 2; 3; or 3,5 this statement is not sufficient.
Statement 2
Only says that x.x = integer. So x=1,2,3,4. Eg. x could be 4 and y 9. We dont know anything about y. Also insufficient.
Using both
If x is an integer and is between 1 and 4; x must be 3 and so y=8.
Answer would be C.
Which is the correct one in your book?
I too answered C but,
The answer is E according to the book.The book interprets condition 1 as 1
fyi this question is a DS practice question in KAPLAN CD.
Ok tks. I think I will be doing Kaplan CD in a month. Will check with my teacher of math and let you know.
long time people. here's a decent one on DS.
Q:
There are x numbers from 1 to x written on a board. A student goes and selects one of the numbers. Then, a series S is generated, consisting of 10 consecutive natural numbers starting from S(including S). What is the probability that any number, selected from S, will be a multiple of 3?
(A) The last number in S is a prime number less than 20
(B) x is less than 11.
as always, your inputs will be appreciated.
slam.
long time people. here's a decent one on DS.
Q:
There are x numbers from 1 to x written on a board. A student goes and selects one of the numbers. Then, a series S is generated, consisting of 10 consecutive natural numbers starting from S(including S). What is the probability that any number, selected from S, will be a multiple of 3?
(A) The last number in S is a prime number less than 20
(B) x is less than 11.
as always, your inputs will be appreciated.
slam.
Hi Slam - I go with A . Here's how I understand this:
Option B - X
Eliminating B, eliminates option D as well( from the answer choices). Now we are left with A, C and E.
Lets take A :
Last Number is the series S is
I admit, this was a tough question, took more than 3-4 mins to solve this. :(
Hope I got it right!!!!! :)
Thanks
Nikhil
HI there..
ANS-I C, let four balls be A,B,C,&D.; S (A+B+C+D)/4 = 20;
now the median weight of the balls is 20 , so B+C?)/2=20 i.e. B+C=40 and A+D= 40, and as per the second statement no ball weighs 20 pounds hence...from above two eqns we can safely say that by combining two statements...we can get the answer ....
So i think the answer should be C....
ANS-II. my take on the question is B,we can solve the question by using only the seconsd statement... As the average is 32 so we can solve for x. and x =32...so the mode of the would be = 32...
what are the answers.,...
regrds
Jakhar:biggrin:
Ans to 2nd question should be D. As both the statements,when taken separately, are sufficient to answer the question.
As for the staement A we can take the mean of the five numbers and equate it to x. and in that case also x comes out to be 32. Have i gone wrong sumwhr???
20. If $ represents one of the operations +, -, and , is
k$(l+m) = k$l + k$m for all numbers k,l and m ?
(1) kl is not equal to lk for some numbers k.
(2) represents subtraction.
20. If $ represents one of the operations +, -, and , is
k$(l+m) = k$l + k$m for all numbers k,l and m ?
(1) kl is not equal to lk for some numbers k.
(2) represents subtraction.
Bro....
Ans should be E..........
dunno how a gmat qn can be so simple or is it that some info in the qn is missing.....
Nyways assuming that the question is as it is :
Here is my explanation :
20. If $ represents one of the operations +, -, and , is
k$(l+m) = k$l + k$m for all numbers k,l and m ?
(1) kl is not equal to lk for some numbers k.
(2) represents subtraction.
here $ represents the mentioned operations but when we go to choice 2 first :
choice 2 mentions about . which is not present in the equation presented for us . So straight away eliminate B or D .
Choice 1 mentions k.l where . is no way related since . is not at all mentioned in the equation to be examined .
So none of the choices basically give us enuff info to evaluate and come to a conclusion abt the mentioned eqn....
So i say E is my answer.
P.S : "." i have mentioned above refers to dot operator in choice 2 .
someone pls explain the correct answer to this problem.
If r and s are positive integers ,is r/s an integer?
a)Every factor of s is also a factor of r
b)Every prime factor of s is also a prime factor of r
someone pls explain the correct answer to this problem.
If r and s are positive integers ,is r/s an integer?
a)Every factor of s is also a factor of r
b)Every prime factor of s is also a prime factor of r
the answer is that statement a alone is sufficient to answer the question
as every factor of s is a factor of r
so lets say s has facotrs 9,4,11 then r will also have the same factors atleast so the result will be an integer
but in option b they are talkin about the prime no.s but in what power we dont know i mean that s can have facotrs like 2,2,2,3,3,3,3 but r has only 2,2,3,3 so r has the same set but not in same power or it may have so we are not sure whether the result will be an integer or not
hope this helps
lemme know if i m wrong
Sillyfool
the answer is that statement a alone is sufficient to answer the question
as every factor of s is a factor of r
so lets say s has facotrs 9,4,11 then r will also have the same factors atleast so the result will be an integer
but in option b they are talkin about the prime no.s but in what power we dont know i mean that s can have facotrs like 2,2,2,3,3,3,3 but r has only 2,2,3,3 so r has the same set but not in same power or it may have so we are not sure whether the result will be an integer or not
hope this helps
lemme know if i m wrong
Sillyfool
correctly done...ans is A
Statement 1 (x is between 1 and 4)
X must be = 3 and Y= 8 to solve the equation.
As x could be 1,5; 2; 3; or 3,5 this statement is not sufficient.
Statement 2
Only says that x.x = integer. So x=1,2,3,4. Eg. x could be 4 and y 9. We dont know anything about y. Also insufficient.
Using both
If x is an integer and is between 1 and 4; x must be 3 and so y=8.
Answer would be C.
Which is the correct one in your book?
I too answered C but,
The answer is E according to the book.The book interprets condition 1 as 1
fyi this question is a DS practice question in KAPLAN CD.
i hope by now ..this question is understood and solved..
let me explain why ans is E..
@Paki...statement in bold is incorrect...
statement 2 says x^2 is an integer, this does not imply x is an integer. hence you cannot assume x=3.
consider an example..root 2 is not an integer...but root 2 squared is 2, which is an integer..
even combining 2 statments we only know x is a real no between 1 & 4, i.e x could be an integer or any other real no, hence y is an integer or any other real no. Hence 2 statements combined is also not sufficient.
someone pls explain the correct answer to this problem.
If r and s are positive integers ,is r/s an integer?
a)Every factor of s is also a factor of r
b)Every prime factor of s is also a prime factor of r
Statement 1. We know that one # s has the same factors of the # r (although this does not imply that the factors of r are also factors of s). Suposse 42 = s All factors of 42 are also factors of r: 1,2,3,6,7,14 and 21. So r could be 42 x 8 or 42 x 9. The division would be (42x
/42= 8 or (42x9)/42=9. = integerStatement 2. If every prime factor of S is also a prime factor of R Eg. 42 = s prime factors 2,3,7 and so R would have (2,3,7)^2 or ^3 in which case the division would result in 42 or in 42^2 = integer.
Answer would be D).
Pls. tell me which is the correct answer in your book.
Statement 1. We know that one # s has the same factors of the # r (although this does not imply that the factors of r are also factors of s). Suposse 42 = s All factors of 42 are also factors of r: 1,2,3,6,7,14 and 21. So r could be 42 x 8 or 42 x 9. The division would be (42x/42= 8 or (42x9)/42=9. = integer
Statement 2. If every prime factor of S is also a prime factor of R Eg. 42 = s prime factors 2,3,7 and so R would have (2,3,7)^2 or ^3 in which case the division would result in 42 or in 42^2 = integer.
Answer would be D).
Pls. tell me which is the correct answer in your book.
D is not correct...ans is A..solution has been posted by sillyfool...
statement 2 is not sufficient...
consider the bold statement...if u replace the values of r with s for your assumption..r/s will not be a integer but a fraction..
i.e say r=42. (pf=2,3 and 7
s= 42^2
hope this clears your doubt..
D is not correct...ans is A..solution has been posted by sillyfool...
statement 2 is not sufficient...
consider the bold statement...if u replace the values of r with s for your assumption..r/s will not be a integer but a fraction..
i.e say r=42. (pf=2,3 and 7
s= 42^2
hope this clears your doubt..
hi sf,
Thanks for your reponse.I think I understand your reponse.
A is also the correct choice according to the book.
But my line of thinking is similiar to Paki's .I too chose answer choice 'D'.
But your explanation is clears things up for me.
Raj
hi sf,
Thanks for your reponse.I think I understand your reponse.
A is also the correct choice according to the book.
But my line of thinking is similiar to Paki's .I too chose answer choice 'D'.
But your explanation is clears things up for me.
Raj
Yes I think our mistake was that we assumed too much... Eg That r was bigger than s, etc-
Tks to Pagalguy and all those who point out the mistakes, I was able to recognize that sometimes in DS I assume too much. Tks!
I got another one.I want to understand when to choose between C and E on such questions.
If n is an integer,is n-1>0?
1. n^2 - n >0
2.n^2 = 9
I got another one.I want to understand when to choose between C and E on such questions.
If n is an integer,is n-1>0?
1. n^2 - n >0
2.n^2 = 9
I approach DS problems which deal with integer variables in the following way: (Considering above example)
n-1>0 becomes n>1. So we need to answer whether n>1?
Now consider 1st statement:
n^2 - n > 0
Here, n could be both positive and negative. E.g. n = -2 and n = 2.
For both the cases n^2 - n > 0. However, in one case n > 1 and in another n
hence 1 alone is not sufficient.
Now,check 2nd statement:
n^2 = 9.
Here 'n' has 2 possibilities: n = 3 and n = -3.
Again we cannot determine for sure whether n is > 1 or n is
So answers A,B and D are out of the window.
Now using both statements together
n^2 = 9 basically gives values n = 3 or -3.
But, the first statement doesn't really help. Hence, we cannot answer this question using both the statements.
Hence answer is 'E'.
HTH 😃