Data Sufficiency - Prime Number Properties

Question

What is the value of prime number $x$? I. $x^2 + x$ is a two digit number greater than 50. II. $x^3$ is a three digit number.

Accepted Answer

A. From Statement I: $50 < x(x+1) < 100$. Testing prime numbers: - For $x = 7$, $7 	imes 8 = 56$, which satisfies $50 < 56 < 100$. - For $x = 11$, $11 	imes 12 = 132 > 100$. - For $x = 5$, $5 	imes 6 = 30 < 50$. Only $x = 7$ satisfies Statement I alone.

Answer

If the question can be answered with the help of statement I alone

Answer

If the question can be answered with the help of statement II alone

Answer

If both statement I and statement II are needed to answer the question

Answer

If the question cannot be answered even with the help of both statements

Data Sufficiency - Prime Number Properties

Explanation

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