How to find the missing number in a set - GRE Quantitative Reasoning

The natural numbers are the positive integers (whole numbers) starting with 1.

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.

The two integers in this case, and their respective averages, could be:

Only -4.5 is one of the answer choices.

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.

The natural numbers are the positive integers (whole numbers) starting with 1.

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.

The two integers in this case, and their respective averages, could be:

Only -4.5 is one of the answer choices.

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.

The natural numbers are the positive integers (whole numbers) starting with 1.

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.

The two integers in this case, and their respective averages, could be:

Only -4.5 is one of the answer choices.

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.

The natural numbers are the positive integers (whole numbers) starting with 1.

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.

The two integers in this case, and their respective averages, could be:

Only -4.5 is one of the answer choices.

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.

The natural numbers are the positive integers (whole numbers) starting with 1.

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.

The two integers in this case, and their respective averages, could be:

Only -4.5 is one of the answer choices.