How to find the square of an integer

Practice Questions

PSAT Math › How to find the square of an integer

Questions

8

1

Let the universal set be the set of all positive integers.

Let be the set of all multiples of 3; let be the set of all multiples of 7; let be the set of all perfect square integers. Which of the following statements is true of 243?

Note: means "the complement of ", etc.

2

$\sqrt{y^2-63}=9$

In the equation above, if is a positive integer, what is the value of ?

3

Simplify.

$\sqrt{\frac{16}{121}}$

4

If x and y are integers and xy + y2 is even, which of the following statements must be true?

I. 3y is odd

II. y/2 is an integer

III. xy is even

5

If $5^{x}+5^{x}+5^{x}+5^{x}+5^{x}=5^{10}$ , what is the value of x?

6

How many integers from 20 to 80, inclusive, are NOT the square of another integer?

7

The square root of 5184 is:

8

Consider the inequality:

$x< x^{5}< x^{4}$

Which of the following could be a value of ?

Return to subject