If [x] denotes the greatest integer less than or equal to x, is [x] = 0?
(1) 5x + 1 = 3 + 2x
(2) 0 < x < 1
OA D
Pls. explain wrt option (2).
REPLY:
According to option 2) X can have any "real" value between 0 and 1. We are given that [X] is less than or equal to x, thus integer value less than 1 is 0.
DS ques . Pls explain.
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Thanks gig92, but the solution mentioned that the question can be restated as - 0 <= x < 1. I dont understand where this came from?gig92 wrote:If [x] denotes the greatest integer less than or equal to x, is [x] = 0?
(1) 5x + 1 = 3 + 2x
(2) 0 < x < 1
OA D
Pls. explain wrt option (2).
REPLY:
According to option 2) X can have any "real" value between 0 and 1. We are given that [X] is less than or equal to x, thus integer value less than 1 is 0.
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[x]<=x
if x=0,then it should have value between 0 and 1(x is an integer). if x greater than 1, then x cannot equal 0
if x=0,then it should have value between 0 and 1(x is an integer). if x greater than 1, then x cannot equal 0
r2kins wrote:Thanks gig92, but the solution mentioned that the question can be restated as - 0 <= x < 1. I dont understand where this came from?gig92 wrote:If [x] denotes the greatest integer less than or equal to x, is [x] = 0?
(1) 5x + 1 = 3 + 2x
(2) 0 < x < 1
OA D
Pls. explain wrt option (2).
REPLY:
According to option 2) X can have any "real" value between 0 and 1. We are given that [X] is less than or equal to x, thus integer value less than 1 is 0.
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aloneontheedge
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This is how greatest integer is calculatedr2kins wrote:Thanks gig92, but the solution mentioned that the question can be restated as - 0 <= x < 1. I dont understand where this came from?gig92 wrote:If [x] denotes the greatest integer less than or equal to x, is [x] = 0?
(1) 5x + 1 = 3 + 2x
(2) 0 < x < 1
OA D
Pls. explain wrt option (2).
REPLY:
According to option 2) X can have any "real" value between 0 and 1. We are given that [X] is less than or equal to x, thus integer value less than 1 is 0.
[1.4] = 1,[4]=4,[3.9]=3,[-5.6]=-5
hope this helps
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saloniarora
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I might be missing something obvious here but will the answer still be 0 if x is .99(recurring)?
- aneesh.kg
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Saloni,
when x = 0.9999999999.., it is still 0.0000000000..1 lesser than 1.
What are the integers smaller than 0.9999999999.. ?
0, -1, -2,..
What is the greatest integer among these?
0
So, the greatest integer smaller or equal to x is 0.
i.e. [0.9999999999..] = 0
when x = 0.9999999999.., it is still 0.0000000000..1 lesser than 1.
What are the integers smaller than 0.9999999999.. ?
0, -1, -2,..
What is the greatest integer among these?
0
So, the greatest integer smaller or equal to x is 0.
i.e. [0.9999999999..] = 0
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- ronnie1985
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Data sufficiency questions are all about solvable questions. the answer to the question can be yes or no or may be. "May be" is "not sufficient". In this case if we can answer yes or no we are definite in our answer.
S1. [x] = -1 m=not equal to 0
Sufficient
S2. [x] = 0, sufficient
(D) is answer.
S1. [x] = -1 m=not equal to 0
Sufficient
S2. [x] = 0, sufficient
(D) is answer.
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- ronnie1985
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Yes as 0.9 bar is still less than 1, though infinitesimally. The nearest integer less than 0.9 bar is zero.saloniarora wrote:I might be missing something obvious here but will the answer still be 0 if x is .99(recurring)?
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