GATE 2011
March 14, 2025GATE 2010
March 14, 2025GATE 2011
| Question 41 |
Which one of the following options is CORRECT given three positive integers x,y and z, and a predicate
P(x) = ¬(x=1)∧∀y(∃z(x=y*z) ⇒ (y=x)∨(y=1))
| P(x) being true means that x is a prime number | |
| P(x) being true means that x is a number other than 1 | |
| P(x) is always true irrespective of the value of x
| |
| P(x) being true means that x has exactly two factors other than 1 and x |
Question 41 Explanation:
Statement: x is not equal to 1 and if there exists some z for all y such that product of y and z is x, then y is either the number itself or 1.
This is the definition of prime numbers.
This is the definition of prime numbers.
Correct Answer: A
Question 41 Explanation:
Statement: x is not equal to 1 and if there exists some z for all y such that product of y and z is x, then y is either the number itself or 1.
This is the definition of prime numbers.
This is the definition of prime numbers.