What is the value of the whole number x? Statement I: x is a prime number lying between 10 and 20. Statement II: x is exactly one more than a perfect square, and 10

Question

What is the value of the whole number x? Statement I: x is a prime number lying between 10 and 20. Statement II: x is exactly one more than a perfect square, and 10 < x < 20.

Accepted Answer

Statement II alone is sufficient but Statement I alone is not. I allows 11, 13, 17, 19 - not unique. II needs a perfect square s with 9 < s < 19, so s = 16 and x = 17 uniquely (s = 9 gives x = 10, excluded).

What is the value of the whole number $x$ ? Statement I: $x$ is a prime number lying between 10 and 20. Statement II: $x$ is exactly one more than a perfect square, and 10 < $x < 20$ .

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More Data Sufficiency practice

What is the value of the whole number x? Statement I: x is a prime number lying between 10 and 20. Statement II: x is exactly one more than a perfect square, and 10 < x<20.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Data Sufficiency practice

What is the value of the whole number $x$ ? Statement I: $x$ is a prime number lying between 10 and 20. Statement II: $x$ is exactly one more than a perfect square, and 10 < $x < 20$ .