If X is a real number, is -3

Question

If X is a real number, is -3<X<3?

(1) Least integer which is greater than or equal to X, is 3.

(2) Greatest integer which is less than or equal to X, is 3.

Hero8888 · Accepted Answer

Hi,  rakeshmishra5690  and  SonalSinha803

If X is a real number, is -3<X<3?

(1) Least integer which is greater than or equal to X, is 3 means that 
2.000...01<=x<=3 - not suff, because x can lay or lay not in the range -3<X<3

(2) Greatest integer which is less than or equal to X, is 3.
3<=x<=3.99...99 - suff, because it means that X doesn't lay in range -3<X<3

Answer B

SonalSinha803 · Answer

Statement 1 says x could be 3, 4, 5 ,...and even greater. Thus, sufficient.

Statement 2 says, x could be less than or equal to 3,i.e., 3,2,1....even lesser. Hence, it could be lesser than -3 also. Hence, insufficient.

Hence, A.

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rakeshmishra5690 · Answer

IMO ans is C

given is a real number and we need to find whether x lies b/w (-3,3)

1) let integer be I
I>=x if I = 3,4,5 ......

if I = 3 and x = 3 then ans is no
if I = 3 and x = 2 then ans is yes 
so 1 is insufficient

2) let integer be I
I <=x if I<=3

if I = 3 and X = 3 then ans is no
if I = 2 and x = 2.5 then ans is yes

so 2 is insufficient

Now 1) + 2)
I = x and I = 3
hence X = 3
sufficient

SonalSinha803 · Answer

Hi, 
Note that the question says that x be between 3 and -3. This means, it cannot be 3. Statement says, 3,4,...., Thus, we know it is nothing in between that since , it begins with 3. Thus, should be A.

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AnuK2222 · Answer

Answer is B
If X is a real number, is -3<X<3?

(1) Least integer which is greater than or equal to X, is 3.- Insufficient, X can take values from 2.00001 to 3 so if X is 2.99 yes, if X=3, no. Insufficient

(2) Greatest integer which is less than or equal to X, is 3. Sufficient, X can take value 3 to 3.9999 and will always NOT lie in range in question stem, always no. hence sufficient

Harrry2207 · Answer

Hello,
how A is wrong?
As we can see, if x lies in 2.0001 to 3 then it will definitely lies between -3 and 3.
In other case if x<2 then first statement cannot hold so this will never be the case.

so A is sufficient to answer.

Bunuel · Answer

(1) implies that  2 < x \leq 3 . If x is 3, the answer to the question is NO. However, if x is any other number from that range, the answer to the question is YES.

If X is a real number, is -3<X<3? (1) Least integer which is greater

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