If y 0, what is the value of y ? (1) y^2 ≤ y (2) y is an integer.

Question

If y > 0, what is the value of y ?

(1) y^2 ≤ y
(2) y is an integer.

ArunSharma12 · Answer

statement 1:

y(y-1)\leq{0}

0\leq{y}\leq1 ; but it is given that y >0
 0\lt{y}\leq1 
not sufficient.

statement 2:
y is an integer greater than 0. not sufficient

combining both statements,
 0\lt{y}\leq1  and y is an integer.
y =1.
Ans: C

vaibhav101 · Answer

(1)  y^2  ≤ y
It is only possible when 0<y≤1. So y could be 1/2 or 1. NOT SUFFICIENT

(2) y is an integer
y could be any integer 1,2,3,..... NOT SUFFICIENT

Combining both statements 
the value of y must be an integer and 0<y≤1 .So y=1

Answer is C

yashikaaggarwal · Answer

If y > 0, the value of y ?

(1) y^2 ≤ y
Since Y^2 is equal to Y or is less than Y
That means Y is either 1 or in positive fraction.
(Not sufficient)

(2) y is an integer.
Since Y is greater than 0, its value can range till positive infinity. (Not sufficient)

1&2: Y = 1 or 1/n
Since y is an integer.
Y = 1
(Sufficient)

Answer is C

Posted from my mobile device

satya2029 · Answer

From 1
Y(Y-1)<=0
...(+)...0...(-).....1(+)
Y will be between  
Y=1/2,1/3
Not sufficient
From 2
Y =any integer
From 1 and 2
Y=1
C:)

Papist · Answer

(1) y could be 1 or any positive decimal. NOT SUFFICIENT.

(2) Since the prompt only tells us that y is an integer, y could be equal to any positive integer. NOT SUFFICIENT.

(1+2) We established in S1 could either be 1 or a decimal and S2 rules out it being decimal. Therefore y=1. SUFFICIENT.

Answer: C

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If y > 0, what is the value of y ? (1) y^2 ≤ y (2) y is an integer.

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