NumberProperties

[ramannjit]

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

[neerajkumar1_1]

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]

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

Thanks Neeraj for explaination!