How to use a Venn Diagram - ISEE Middle Level Quantitative Reasoning
Card 0 of 20
Define:
Universal set 
, the set of all natural numbers.
= {
| 
is a multiple of 3}
= {
| 
is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both 
and 
and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: 
and 
.
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as 
. Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Let set 
, the set of all natural numbers.
= {
| 
is a multiple of 6 }
= {
| 
is a multiple of 9 }
Which of the following numbers would appear in the gray region of the Venn diagram?
Let set
Which of the following numbers would appear in the gray region of the Venn diagram?
The gray area represents the portion of 
that is not in 
- in other words, all multiples of 9 that are not also multiples of 6.
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
, so 9,349 can be eliminated because it isn't a multiple of 9.
and 
, so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.
The gray area represents the portion of
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
Compare your answer with the correct one above
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Let set , the set of all natural numbers.
= { | is a multiple of 6 }
= { | is a multiple of 9 }
Which of the following numbers would appear in the gray region of the Venn diagram?
Let set
Which of the following numbers would appear in the gray region of the Venn diagram?
The gray area represents the portion of that is not in - in other words, all multiples of 9 that are not also multiples of 6.
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
, so 9,349 can be eliminated because it isn't a multiple of 9.
and , so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.
The gray area represents the portion of
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
Compare your answer with the correct one above
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Let set , the set of all natural numbers.
= { | is a multiple of 6 }
= { | is a multiple of 9 }
Which of the following numbers would appear in the gray region of the Venn diagram?
Let set
Which of the following numbers would appear in the gray region of the Venn diagram?
The gray area represents the portion of that is not in - in other words, all multiples of 9 that are not also multiples of 6.
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
, so 9,349 can be eliminated because it isn't a multiple of 9.
and , so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.
The gray area represents the portion of
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
Compare your answer with the correct one above
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Let set , the set of all natural numbers.
= { | is a multiple of 6 }
= { | is a multiple of 9 }
Which of the following numbers would appear in the gray region of the Venn diagram?
Let set
Which of the following numbers would appear in the gray region of the Venn diagram?
The gray area represents the portion of that is not in - in other words, all multiples of 9 that are not also multiples of 6.
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
, so 9,349 can be eliminated because it isn't a multiple of 9.
and , so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.
The gray area represents the portion of
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
Compare your answer with the correct one above
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Define:
Universal set , the set of all natural numbers.
= { | is a multiple of 3}
= { | is a multiple of 5}
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
Define:
Universal set
If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?
The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3: and .
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.
The gray region is the region outside both
1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.
7,431 and 3,966 can be eliminated as each is divisible by 3:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
Compare your answer with the correct one above
Let set , the set of all natural numbers.
= { | is a multiple of 6 }
= { | is a multiple of 9 }
Which of the following numbers would appear in the gray region of the Venn diagram?
Let set
Which of the following numbers would appear in the gray region of the Venn diagram?
The gray area represents the portion of that is not in - in other words, all multiples of 9 that are not also multiples of 6.
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
, so 9,349 can be eliminated because it isn't a multiple of 9.
and , so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.
The gray area represents the portion of
Therefore, 4,572, 3,438, and 8,544 can be eliminated.
Compare your answer with the correct one above
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.
Compare your answer with the correct one above