If x is not equal to y and if √x =y, what is the value of y^3 ?
(1) x = y^x
(2) x^3 = 8
Help is needed in understanding.
OA D
NumberProperties
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- neerajkumar1_1
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given:
root(x)=y
Find: y^3
first, we can find y, as soon as we have a value for x...
lets start with the easy statement
statement2)
x^3= 8
Hence we have a unique value for x = 2... so we can find y
Sufficient
Statement 1)
x = y^x
substituting value of x in equation : root(x) = y
y^(x/2) = y
since bases are same... we can equate the exponents..
x/2=1
x=2
again.. we can get the value for y..
sufficient..
IMO: D
root(x)=y
Find: y^3
first, we can find y, as soon as we have a value for x...
lets start with the easy statement
statement2)
x^3= 8
Hence we have a unique value for x = 2... so we can find y
Sufficient
Statement 1)
x = y^x
substituting value of x in equation : root(x) = y
y^(x/2) = y
since bases are same... we can equate the exponents..
x/2=1
x=2
again.. we can get the value for y..
sufficient..
IMO: D
- ramannjit
- Senior | Next Rank: 100 Posts
- Posts: 47
- Joined: Sun May 09, 2010 7:21 am
- Location: NewDelhi
- Thanked: 1 times
Thanks Neeraj for explaination!neerajkumar1_1 wrote:given:
root(x)=y
Find: y^3
first, we can find y, as soon as we have a value for x...
lets start with the easy statement
statement2)
x^3= 8
Hence we have a unique value for x = 2... so we can find y
Sufficient
Statement 1)
x = y^x
substituting value of x in equation : root(x) = y
y^(x/2) = y
since bases are same... we can equate the exponents..
x/2=1
x=2
again.. we can get the value for y..
sufficient..
IMO: D
Ramannjit