Section: Quantitative

3)

a² = b² - 1 b ≠ 0

A		B

a⁴		b⁴ + 1

The quantity in column A is greater
The quantity in column B is greater
The two quantities are equal
The relationship cannot be determined from the information provided

Explanation

a² = b² - 1
a⁴ = (b² - 1) = b⁴ - 2b² + 1 (Column A)
b² must be a positive quantity, hence - 2b² is negative, making b⁴ - 2b² + 1 less than b⁴ + 1.

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