Sets - SSAT Elementary Level Quantitative

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Question

Which of the following belongs to the set of whole numbers?

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Answer

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

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Question

Which of the following belongs to the set of whole numbers?

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Answer

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

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Question

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

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Answer

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here:

$\left \{ \underline{1}, 4, 8, 12, 20\right \}$

$\left \{ 8, \underline{9}, 10, 12, 16, 18\right \}$

$\left \{ 4, 6, 8, 10,\underline{ 11}, 14\right \}$

$\left \{ 2, 4, 6, \underline{9}, 12, 14\right \}$

The remaining set can be seen to have only elements from :

$\left \{ 4, 8, 12, 16, 20\right \}\subseteq \left \{ 2, \underline{4}, 6, \underline{8}, 10, \underline{12}, 14, \underline{16}, 18, \underline{20}\right \}$

This is the correct choice.

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Question

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

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Answer

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here:

$\left \{ \underline{1}, 4, 8, 12, 20\right \}$

$\left \{ 8, \underline{9}, 10, 12, 16, 18\right \}$

$\left \{ 4, 6, 8, 10,\underline{ 11}, 14\right \}$

$\left \{ 2, 4, 6, \underline{9}, 12, 14\right \}$

The remaining set can be seen to have only elements from :

$\left \{ 4, 8, 12, 16, 20\right \}\subseteq \left \{ 2, \underline{4}, 6, \underline{8}, 10, \underline{12}, 14, \underline{16}, 18, \underline{20}\right \}$

This is the correct choice.

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Question

Which of the following belongs to the set of whole numbers?

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Answer

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

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Question

Which of the following belongs to the set of whole numbers?

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Answer

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

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Question

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

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Answer

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

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Question

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

Tap to reveal answer

Answer

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

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Question

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

Tap to reveal answer

Answer

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

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Question

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

Tap to reveal answer

Answer

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

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Question

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

Tap to reveal answer

Answer

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here:

$\left \{ \underline{1}, 4, 8, 12, 20\right \}$

$\left \{ 8, \underline{9}, 10, 12, 16, 18\right \}$

$\left \{ 4, 6, 8, 10,\underline{ 11}, 14\right \}$

$\left \{ 2, 4, 6, \underline{9}, 12, 14\right \}$

The remaining set can be seen to have only elements from :

$\left \{ 4, 8, 12, 16, 20\right \}\subseteq \left \{ 2, \underline{4}, 6, \underline{8}, 10, \underline{12}, 14, \underline{16}, 18, \underline{20}\right \}$

This is the correct choice.

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Question

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

Tap to reveal answer

Answer

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here:

$\left \{ \underline{1}, 4, 8, 12, 20\right \}$

$\left \{ 8, \underline{9}, 10, 12, 16, 18\right \}$

$\left \{ 4, 6, 8, 10,\underline{ 11}, 14\right \}$

$\left \{ 2, 4, 6, \underline{9}, 12, 14\right \}$

The remaining set can be seen to have only elements from :

$\left \{ 4, 8, 12, 16, 20\right \}\subseteq \left \{ 2, \underline{4}, 6, \underline{8}, 10, \underline{12}, 14, \underline{16}, 18, \underline{20}\right \}$

This is the correct choice.

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Question

Which would make the most sense to use if we were going to measure an oven?

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Answer

An oven is most likely larger ruler could measure because a ruler can only measure up to 12 inches. A yardstick can measure up to 3 feet (or 36 inches), and a meter stick is about the same size as a yardstick.

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Question

Which would make the most sense to use if we were going to measure a jar?

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Answer

You would use a ruler to measure a jar because a jar is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.

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Question

Which would make the most sense to use if we were going to measure a bug?

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Answer

You would use a ruler to measure a bug because a bug is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.

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Question

Which would make the most sense to use if we were going to measure a kite?

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Answer

You would want to use a yardstick to measure a kite because a kite is most likely bigger than 12 inches, which is the length of a ruler. However, a kite is normally not bigger than 36 inches, or three feet. Measuring tape is usually used to measure much larger objects.

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Question

Find the missing numbers in the set.

$-5, -2, 1, 4, 7, 10, 13, 16, 19, \square,\square,\square$

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Answer

The pattern in the set is to add three every time. The last number of the set given is 19 so add 3 and get 22. Add 3 again and get 25. Add 3 again and get 28. Thus the answer is

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Question

What is the missing number in the sequence?

2, 6, __, 54

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Answer

To find the missing number in the sequence, we need to find the pattern. In this problem, the pattern is multiplying by three! So, to find the missing number, we need to multiply the number before the blank space by 3.

$$6\times $3 = 18$

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Question

Fill in the missing number in the pattern:

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Answer

Each number is three greater than the preveious number:

3, 6, 9, 12, 15, 18.

The missing number is 12.

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Question

What is the next number in this sequence?

...

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Answer

Each entry in the sequence is obtained by adding to the previous entry a number that increases by 1 each time.

To get the next entry, add 7.

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Knew It

Sets - SSAT Elementary Level Quantitative

Which of the following belongs to the set of whole numbers?

The set of whole numbers comprises the following: All of the given choices are members of this set.

Which of the following belongs to the set of whole numbers?

The set of whole numbers comprises the following: All of the given choices are members of this set.

Define the set Which of the following is a subset of ?

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here: The remaining set can be seen to have only elements from : This is the correct choice.

Define the set Which of the following is a subset of ?

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here: The remaining set can be seen to have only elements from : This is the correct choice.

Which of the following belongs to the set of whole numbers?

The set of whole numbers comprises the following: All of the given choices are members of this set.

Which of the following belongs to the set of whole numbers?

The set of whole numbers comprises the following: All of the given choices are members of this set.

Define two sets as follows: How many elements are in ?

is the union of sets and - the set of all elements that appear in either or . These elements are: which is a set with twelve elements.

Define two sets as follows: How many elements are in ?

is the union of sets and - the set of all elements that appear in either or . These elements are: which is a set with twelve elements.

Define two sets as follows: How many elements are in ?

is the union of sets and - the set of all elements that appear in either or . These elements are: which is a set with twelve elements.

Define two sets as follows: How many elements are in ?

is the union of sets and - the set of all elements that appear in either or . These elements are: which is a set with twelve elements.

Define the set Which of the following is a subset of ?

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here: The remaining set can be seen to have only elements from : This is the correct choice.

Define the set Which of the following is a subset of ?

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here: The remaining set can be seen to have only elements from : This is the correct choice.

Which would make the most sense to use if we were going to measure an oven?

An oven is most likely larger ruler could measure because a ruler can only measure up to 12 inches. A yardstick can measure up to 3 feet (or 36 inches), and a meter stick is about the same size as a yardstick.

Which would make the most sense to use if we were going to measure a jar?

You would use a ruler to measure a jar because a jar is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.

Which would make the most sense to use if we were going to measure a bug?

You would use a ruler to measure a bug because a bug is most likely smaller than 12 inches, which is the size of a ruler. All of the other tools will be much larger.

Which would make the most sense to use if we were going to measure a kite?

You would want to use a yardstick to measure a kite because a kite is most likely bigger than 12 inches, which is the length of a ruler. However, a kite is normally not bigger than 36 inches, or three feet. Measuring tape is usually used to measure much larger objects.

Find the missing numbers in the set.

The pattern in the set is to add three every time. The last number of the set given is 19 so add 3 and get 22. Add 3 again and get 25. Add 3 again and get 28. Thus the answer is

What is the missing number in the sequence? 2, 6, __, 54

To find the missing number in the sequence, we need to find the pattern. In this problem, the pattern is multiplying by three! So, to find the missing number, we need to multiply the number before the blank space by 3.

Fill in the missing number in the pattern:

Each number is three greater than the preveious number: 3, 6, 9, 12, 15, 18. The missing number is 12.

What is the next number in this sequence? ...

Each entry in the sequence is obtained by adding to the previous entry a number that increases by 1 each time. To get the next entry, add 7.

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

The set of whole numbers comprises the following:

$\left \{ 0, 1, 2, 3, 4, 5...\right \}$

All of the given choices are members of this set.

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

Define two sets as follows:

$A = \left \{ a, b, d, f, h, i, j \right \}$

$B = \left \{ b, c, d, e, h, k, m, p\right \}$

How many elements are in $A \cup B$ ?

$A \cup B$ is the union of sets and - the set of all elements that appear in either or . These elements are:

$\left \{ a, b,c, d,e, f, h, i, j,k,m,p \right \}$

which is a set with twelve elements.

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

Define the set $C = \left \{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20\right \}$

Which of the following is a subset of ?

Find the missing numbers in the set.

$-5, -2, 1, 4, 7, 10, 13, 16, 19, \square,\square,\square$

What is the missing number in the sequence?

2, 6, __, 54

To find the missing number in the sequence, we need to find the pattern. In this problem, the pattern is multiplying by three! So, to find the missing number, we need to multiply the number before the blank space by 3.

$$6\times $3 = 18$

Each number is three greater than the preveious number:

3, 6, 9, 12, 15, 18.

The missing number is 12.

What is the next number in this sequence?

...

Each entry in the sequence is obtained by adding to the previous entry a number that increases by 1 each time.

To get the next entry, add 7.