X^2x? 1) if x double, the result is less than 1 2)

Question

X^2>x?
1) if x double, the result is less than 1
2) 0<=x<1

abhijit_sen · Answer

Statement 1:
Can be true for all the -ve numbers as well as for x between 0 and .49.
Any value of x between -.99 and .49 squared will be less than 1 but any -ve value smaller than -1 if suqared will be more than the original number.
So insufficient

Statement 2:
Says x is between 0 and 1.
If x is 0 then X^2 is not greater than X but if X is anything other than 0 then X^2 is smaller than X.
So insufficient.

On combining this we don't get any concrete value. So Answer should be E.

FN · Answer

i get E as well..basically if x=0 then it meets both statment or if x=1/2 meets the statements..

sreehari · Answer

I am going to go with B

Here is my rationale - This is an Yes or No type question.

Explanation to statement 1 is already given above. Now moving on to statement 2...

In both cases, when x=0 and 0<x<1 the answer is No. so sufficient.

FN · Answer

i agree B it is...we know that x<1..this should be sufficient..

rohit929 · Answer

hi i think u forgot 0<=x so we can take o also which means 0>0

FN · Answer

hey why not C..

we know that if X doubles its less than 1..

but second statement says <=0<1

combining..we know X^2<x

AlbertNTN · Answer

if u take x=0, and x=0.4, results are different. I think the tricky part is the equal sign

moni77 · Answer

I'm going with E here.
(1) X<1/2
if x=1/3, x^2 <x
x=-2, x^2>x -not sufficient
(2) 0<=x<1
if x=1/3 => x^2<x
x=0 => x^2=x, which means is not > => not sufficient

(1) (2) we have that 0<=x< 1/2
if you take the examples from (2) => not sufficient

FN · Answer

OK .folks I was doing this problem when i was half asleep..now that i hav rested..here is how to do this..

Question asks X^2>X? YES or NO..

1) x=-1, 2*-x=-2.. or x=1/2 x^2=1/4 Insuff

2) 0<=x<1...

well either way x^2 cannot be greater than X..its either at most 0; i.e x=0..or x=0.99 then x^2 is definetly less than X...
Sufficient

B it is..

bsd_lover · Answer

Yeah agree with B - its a nice little trap - +1 for poster and for sreehari for cracking it first.

GMAT TIGER · Answer

agree with B.

a good question

X^2>x? 1) if x double, the result is less than 1 2)

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