Sets - GRE Quantitative Reasoning
Card 0 of 4
In the set of positive, distinct integers 
, the median is 
. What is the minimum value of 
?
In the set of positive, distinct integers
We know that all the numbers are positive, so they are greater than zero. We also know that the numbers are distinct, so they are all unique.
We can write this as {a + b + 8 + d + e}, so let a and b be 1 and 2 respectively, the smallest possible positive, distinct integers. Then let d and e be 9 and 10, the smallest positive, distinct integers larger than 8.
We add the set {1 + 2 + 8 + 9 + 10} to find it equals 30.
We know that all the numbers are positive, so they are greater than zero. We also know that the numbers are distinct, so they are all unique.
We can write this as {a + b + 8 + d + e}, so let a and b be 1 and 2 respectively, the smallest possible positive, distinct integers. Then let d and e be 9 and 10, the smallest positive, distinct integers larger than 8.
We add the set {1 + 2 + 8 + 9 + 10} to find it equals 30.
Compare your answer with the correct one above
Which of these is a natural number?
Which of these is a natural number?
The natural numbers are the positive integers (whole numbers) starting with 1.
The natural numbers are the positive integers (whole numbers) starting with 1.
Compare your answer with the correct one above
Which of the following pairs of events are mutually exclusive?
Which of the following pairs of events are mutually exclusive?
We can think of mutually exclusive in terms of a Venn diagram. We are looking for the pair of events that has nothing in common. The only sets that don't have a single number in common are the positive numbers and the numbers less than –200.
We can think of mutually exclusive in terms of a Venn diagram. We are looking for the pair of events that has nothing in common. The only sets that don't have a single number in common are the positive numbers and the numbers less than –200.
Compare your answer with the correct one above
The product of two integers is 14. Which of the following could be the average of the two numbers?
The product of two integers is 14. Which of the following could be the average of the two numbers?
The two integers in this case, and their respective averages, could be:
Only 
is one of the answer choices.
The two integers in this case, and their respective averages, could be:
Only
Compare your answer with the correct one above