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If x < y, which of the following must be true?

Re: If x < y, which of the following must be true?

If x < y, which of the following must be true? (A) x < y^2 (B) x^2 < y (C) x^2 < y^2 (D) (x – y)^2 > 0 (E) x^3 > y If x < y, then we can also conclude that x ≠ y. If x ≠ y, then we can be certain that x - y ≠ 0 If x - y ≠ 0, then we can be certain that (x – y)^2 > 0 Answer: D ASIDE: Another approac...

by [email protected]

Wed Jan 19, 2022 9:44 am
Forum: Problem Solving
Topic: If x < y, which of the following must be true?
Replies: 1
Views: 54

What distance did Jane travel?

Re: What distance did Jane travel?

What distance did Jane travel? (1) Bill traveled 40 miles in 40 minutes. (2) Jane traveled at the same average rate as Bill. Answer: E Source: Official Guide Target question : What distance did Jane travel? Statement 1 : Bill traveled 40 miles in 40 minutes. No info about Jane Statement 1 is NOT SU...

by [email protected]

Mon Jan 17, 2022 8:07 am
Forum: Data Sufficiency
Topic: What distance did Jane travel?
Replies: 1
Views: 40

At what speed was Erik running when he was at the halfway point of his route? 1. Erik's route was 10 miles long and

Re: At what speed was Erik running when he was at the halfway point of his route? 1. Erik's route was 10 miles long and

At what speed was Erik running when he was at the halfway point of his route? 1. Erik's route was 10 miles long and took him 2 hours to complete. 2. Erik ran at an average speed of 5 miles per hour on the route OA E Source: Veritas Prep IMPORTANT: The two statements essentially provide the exact sa...

If $$x$$ and $$y$$ are positive integers, is $$xy$$ even?

Re: If $$x$$ and $$y$$ are positive integers, is $$xy$$ even?

If $$x$$ and $$y$$ are positive integers, is $$xy$$ even? $$(1)\, x^2 + y^2 - 1$$ is divisible by $$4.$$ $$(2)\, x + y$$ is odd. Answer: D Source: Official Guide Some important rules: #1. ODD +/- ODD = EVEN #2. ODD +/- EVEN = ODD #3. EVEN +/- EVEN = EVEN #4. (ODD)(ODD) = ODD #5. (ODD)(EVEN) = EVEN ...

by [email protected]

Sun Jan 02, 2022 6:41 am
Forum: Data Sufficiency
Topic: If $$x$$ and $$y$$ are positive integers, is $$xy$$ even?
Replies: 1
Views: 131

The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters....

Re: The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters....

The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly 1/2 centimeter thick. A closed canister in the shape of a right circular cylinder is to be placed inside the box so that it stands upright whe...