If y is an odd integer and the product of x and y equals 222, what is the value of x?
(1) x is a prime number.
(2) y is a 3 digit number.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
(C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
(D) EACH statement ALONE is sufficient to answer the question asked
(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
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Answer
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C is the correct answer. If Y is odd then prime number x can only be 2 and if Y is three digit 111 then X can only be two with both the choices X=2 and Y=111 is clear and no negative numbers. So C is the answer.By the usual definition of prime for integers, negative integers can not be prime.
By this definition, primes are integers greater than one with no positive divisors besides one and itself. Negative numbers are excluded. In fact, they are given no thought.If you take y=37 then x=6 is true so C is right choice
If you take y=111 then x=2 prime number is the only choice no negative integers. So C is correct.
(1) x is a prime number.
(2) y is a 3 digit number.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
(C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
(D) EACH statement ALONE is sufficient to answer the question asked
(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
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Answer
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C is the correct answer. If Y is odd then prime number x can only be 2 and if Y is three digit 111 then X can only be two with both the choices X=2 and Y=111 is clear and no negative numbers. So C is the answer.By the usual definition of prime for integers, negative integers can not be prime.
By this definition, primes are integers greater than one with no positive divisors besides one and itself. Negative numbers are excluded. In fact, they are given no thought.If you take y=37 then x=6 is true so C is right choice
If you take y=111 then x=2 prime number is the only choice no negative integers. So C is correct.
