SCAT - School and College Ability Quantitative Comparisons: Algebra Questions and Answers

Question 1

Compare the quantities in Column A and Column B.

**Column A:** The value of x when 3x - 4 = 11
**Column B:** The value of y when 2y + 1 = 13

Accepted Answer

Quantity B is greater.

Answer

Quantity A is greater.

Answer

The two quantities are equal.

Answer

The relationship cannot be determined from the information given.

Question 2

Compare the quantities in Column A and Column B.

Given: n is a positive integer.

**Column A:** (-1)^(2n)
**Column B:** (-1)^(2n + 1)

Accepted Answer

Quantity A is greater.

Answer

Quantity B is greater.

Answer

The two quantities are equal.

Answer

The relationship cannot be determined from the information given.

Question 3

Compare the quantities in Column A and Column B.

Given: x = 3 and y = -2

**Column A:** (x + y)²
**Column B:** x² + y²

Accepted Answer

Quantity B is greater.

Answer

Quantity A is greater.

Answer

The two quantities are equal.

Answer

The relationship cannot be determined from the information given.

Question 4

Compare the quantities in Column A and Column B.

Given: The average (arithmetic mean) of p, q, and 10 is 15.

**Column A:** The average of p and q
**Column B:** 17.5

Accepted Answer

The two quantities are equal.

Answer

Quantity A is greater.

Answer

Quantity B is greater.

Answer

The relationship cannot be determined from the information given.

Question 5

Compare the quantities in Column A and Column B.

Given: k > 0

**Column A:** The area of a square with a perimeter of 12k
**Column B:** The area of a rectangle with a width of 2k and a length of 4k

Accepted Answer

Quantity A is greater.

Answer

Quantity B is greater.

Answer

The two quantities are equal.

Answer

The relationship cannot be determined from the information given.

Question 6

Compare the quantities in Column A and Column B.

Given: a > 0 and b < 0

**Column A:** a * b
**Column B:** a / b

Accepted Answer

The relationship cannot be determined from the information given.

Answer

Quantity A is greater.

Answer

Quantity B is greater.

Answer

The two quantities are equal.