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Compare quantities: mixed set 1: original cases with explanations after your first response.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
For this set, use prime structure, ratios and changing percentage bases to determine a relationship. Equality in one permitted case is not enough to select the equality option.
p is a prime greater than 2. Quantity A: Remainder when p squared is divided by 4 Quantity B: 1 Compare the quantities using only the stated information.
x > 3. Quantity A: (x-3)/(x+3) Quantity B: 1 Compare the quantities using only the stated information.
a and b are positive, and a+b=10. Quantity A: ab Quantity B: 25 Compare the quantities using only the stated information.
A positive price rises by 20 percent and then falls by 20 percent. Quantity A: Final price Quantity B: Original price Compare the quantities using only the stated information.
The radius of circle P is twice that of circle Q. Quantity A: Area of P divided by area of Q Quantity B: 4 Compare the quantities using only the stated information.
x and y are negative and x < y. Quantity A: 1/x Quantity B: 1/y Compare the quantities using only the stated information.
When a relationship varies, preserve two valid assignments with different results; do not rely on a forbidden zero or negative value.