1.If n and k are integers and (-2)n^5 > 0, is k^37 (1). (nk)^z > 0, where z is an integer that is not divisible by two (2). k A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D) EACH statement ALONE is sufficient. E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
2. If x and y are integers, what is the ratio of 2x to y? (1). 8x^3 = 27y^3 (2) 4x^2 = 9y^2
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D) EACH statement ALONE is sufficient. E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
pretty good ones.... :) 1.if n and k are integers and (-2)n^5 > 0, is k^37 (1). (nk)^z > 0, where z is an integer that is not divisible by two (2). K a)statement (1) alone is sufficient, but statement (2) alone is not sufficient. B) statement (2) alone is sufficient, but statement (1) alone is not sufficient. C) both statements together are sufficient, but neither statement alone is sufficient. D) each statement alone is sufficient. E) statement (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
2. If x and y are integers, what is the ratio of 2x to y? (1). 8x^3 = 27y^3 (2) 4x^2 = 9y^2
a) statement (1) alone is sufficient, but statement (2) alone is not sufficient. B) statement (2) alone is sufficient, but statement (1) alone is not sufficient. C) both statements together are sufficient, but neither statement alone is sufficient. D) each statement alone is sufficient. E) statement (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
1.If n and k are integers and (-2)n^5 > 0, is k^37 (1). (nk)^z > 0, where z is an integer that is not divisible by two (2). k A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D) EACH statement ALONE is sufficient. E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
2. If x and y are integers, what is the ratio of 2x to y? (1). 8x^3 = 27y^3 (2) 4x^2 = 9y^2
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D) EACH statement ALONE is sufficient. E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
1.if n and k are integers and (-2)n^5 > 0, is k^37 (1). (nk)^z > 0, where z is an integer that is not divisible by two (2). K a)statement (1) alone is sufficient, but statement (2) alone is not sufficient. B) statement (2) alone is sufficient, but statement (1) alone is not sufficient. C) both statements together are sufficient, but neither statement alone is sufficient. D) each statement alone is sufficient. E) statement (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
2. If x and y are integers, what is the ratio of 2x to y? (1). 8x^3 = 27y^3 (2) 4x^2 = 9y^2
a) statement (1) alone is sufficient, but statement (2) alone is not sufficient. B) statement (2) alone is sufficient, but statement (1) alone is not sufficient. C) both statements together are sufficient, but neither statement alone is sufficient. D) each statement alone is sufficient. E) statement (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
1.If n and k are integers and (-2)n^5 > 0, is k^37 (1). (nk)^z > 0, where z is an integer that is not divisible by two (2). k A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D) EACH statement ALONE is sufficient. E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
n is negative. From 1. k will also be negative and Z will an odd number, -ve power raise to odd power is also negative. SO suff. From2. K negative so suff.
Hence D
2. If x and y are integers, what is the ratio of 2x to y? (1). 8x^3 = 27y^3 (2) 4x^2 = 9y^2
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D) EACH statement ALONE is sufficient. E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Please try another GMATPrep question in the thumbnail
again each 1 alone is sufficient:) statement1: using the values given in d statement 1 we get ^2= 21/100 +1 =>^2= ^2 =>1+r/100 = 11/10 we dnt need need to solve it further coz we can see here dat dis statement can ans the qustn.:)
Statement 2:
^2 > 1.15 ^2> (1.07)^2 >1.07 we dnt need need to solve it further coz we can see here dat dis statement can ans the qustn.:) Hence each 1 alone is sufficient.....
Its a little confusing one....so i'll solve it on a paper 1nce again n den will upload the image in d evening 😃 Wats d ans for the second 1??? P.S ....u Edited ur post??:biggrin: BTW Lucknow is my native.:biggrin: ???
If xyz not equal 0,if x(y+z) >= 0. 1) y+z = |y| + |z 2) x+y| = |x| + y
someone answered C,
I think,we have been asked to figure out if x(y+z) = 0 or x(y+z) > 0 .if we can answer either of them,we are good to say if the statement is true or false
from St 1...it proves y+z is pstive and x not being equal to 0,it always says x(y+z) cant be equal to 0...so this is enough to answer the query.
St 2 is useful,if someone wants to know if x(y+z) > 0 only
Correct me If I am wrong...
Thanks Soumik
from st 1 its clear that y+z is positive, and x not equal to zero as already given tht xyz is not equal to zero, it means, the value of x(y+z) depends on the sign of x, from st 1 u get no idea about the sign of x, so its unsure tht x is positive or negative....thus the value of x(y+z) will remain uncertain, hence st1 cant be the ans...
Its a little confusing one....so i'll solve it on a paper 1nce again n den will upload the image in d evening 😃 Wats d ans for the second 1??? P.S ....u Edited ur post??:biggrin: BTW Lucknow is my native.:biggrin: ???
Cool. Looks like I just started a new trend of uploading images instead of typing the stuff. Make sure your handwriting is legible though
Yeah I edited that part. Thought let me focus on the test. Its in a week.
again each 1 alone is sufficient:) statement1: using the values given in d statement 1 we get ^2= 21/100 +1 =>^2= ^2 =>1+r/100 = 11/10 we dnt need need to solve it further coz we can see here dat dis statement can ans the qustn.:)
Statement 2:
^2 > 1.15 ^2> (1.07)^2 >1.07 we dnt need need to solve it further coz we can see here dat dis statement can ans the qustn.:) Hence each 1 alone is sufficient.....
Wats d ans ???
The GMATPrep answer is A i.e. only 1 alone is sufficient.
BTW I too marked D.
I think I got this one.
1. Is sufficient for obvious reasons. So yes you are correct.
2. Is a problematic statement. But its now different from X^2>1.2. Find the value of X? ^2 > 1.15 - This statement alone is not sufficient. Here is the reason. We have to consider both +ve and -ve roots. I messed up the 1st time: Here is how we solve such an equation: ^2 > 1.15 => ^2 - 1.15 > 0 => > 0 Now as we know this has 2 solutions : either r/100 (sqrt(1.5)-1) - INSUFFICIENT.
A certain game requires a player to roll a standard six-sided die. If a player rolls even numbers six times more often than he rolls odd numbers, how many times did he roll even numbers?
(1)The player rolled the die a total of 30 times.
(2)The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.
Please tell the correct approach for above problem???
Ans (A)..m i correct... its a tricky one...if m correct i vll explain wat i understand from the question...otherwise take a look of the question in other way...
Given: Let # times he rolled odd number= X # times he rolled even number = X + 6
Objective: X + 6 = ?
Statement 1: Total number of times the die is rolled = 30. i.e. # times he rolled even number + # times he rolled odd number = 30 => (X + 6) + (X) = 30 => 2X + 6 = 30 This is linear Equation with 1 unknown. Hence can be solved. So. (1) alone is sufficient Statement 2: Final Score Given: 96
Score for every even roll = 4 Total Score for even roll = 4*(X+6)
Score for every odd roll = 2 Total Score for odd roll = 2*(X)
Overall Total Score = Total Score for even roll + Total Score for odd roll 96 = 4*(X+6) + 2*(X) 96 = 4X + 24 + 2X 96 = 6X + 24
This again is linear Equation with 1 unknown. Hence can be solved. So. (2) alone is sufficient
My 2 cents
A certain game requires a player to roll a standard six-sided die. If a player rolls even numbers six times more often than he rolls odd numbers, how many times did he roll even numbers?
(1)The player rolled the die a total of 30 times.
(2)The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.
Please tell the correct approach for above problem???
A certain game requires a player to roll a standard six-sided die. If a player rolls even numbers six times more often than he rolls odd numbers, how many times did he roll even numbers?
(1) The player rolled the die a total of 30 times.
(2) The player received 4 points each time he threw an even number, and 2 points each time he threw an odd number. His final score was 96.
Please tell the correct approach for above problem???
from 1)
x + x + 6 = 30 ..
so odd game is 12 and even game is 18 ..
from 2)
4(x+6) + 2x = 96
6x = 72 ..
odd game is 12 and even game is 18
both gives same conclusion ...
so answer is either of the statement alone is sufficient
^1/3 Suff
