Can someone spot the error here? From (1), x - y = 1/2 From (2), x/y > 1 so x > y Choose x= 1/2 and y = -1/2 to satisfy both 1 and 2. So x and y cannot be both positive? Please enlighten. What did you assume here? I'm sorry. I may have poor basic understanding but isn't x/y>1 equate to x>y? Multipl...

Similarly, 64 also has a perfect cube root of 4 and a perfect square of 8. Any method to recognise this pattern?

Sixth integer root and integer square root

Any number with a sixth integer root will have a integer square root. Can someone explain why? Eg. 64 has a 6th root integer 2 and square root integer 8. This applies for all integers that have a sixth root integer; that integer will have an integer square root.

Taken from the OG guide. Carnivorous mammals can endure what would otherwise be lethal levels of body heat because they have a heat-exhange network which kept the brain from getting too hot. The correct answer is "that keeps". My question is, will "which keeps" be a correct answe...

Taken from the OG guide. Carnivorous mammals can endure what would otherwise be lethal levels of body heat because they have a heat-exhange network which kept the brain from getting too hot. The correct answer is "that keeps". My question is, will "which keeps" be a correct answe...

What are the answer choices?

I think it's ridiculuos to calculate the solution? Is there a shorter method via estimation?

Hi I have another way of solving. First, select the first person. Probability of selecting someone with 1 sibling = 4/7 Probability of selecting someone with 2 siblings = 3/7 Then, as we select the second person Probability of selecting someone not a sibling of the first person with 1 sibling = 5/6 ...