CAMANISHPARMAR wrote:
Is the positive integer z a prime number?
(1) z and the square root of integer y have the same number of unique prime factors.
(2) z and the perfect square y have the same number of unique factors.
1) z and the square root of integer y have the same number of
unique prime factors.
z= 3 and \(\sqrt{9}\), will satisfy this. 3 and 3(root 9), have 1 unique factor
Will answer the question as Yes
z =14(2*7) and \(\sqrt{196}\), will satisfy the statement. 2,7 and root 196(will give 2*7) will have 2 unique factors
Will answer the question as No
(2)
z and the
perfect square y have the
same number of
unique factors.
perfect square y can be 1,4,9,25,36,49,64
doesn't this mean they should be equal ??, only they can have same number of unique factorss
Examples 4 and 4, 8 and 16 No this wont have
z is a +ive Integer
But then z can be 1
Will answer the question as No
z can be 4
Will answer the question as No
A definite No.
IMO B
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Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.