Free Printable PRE-TEST 1 SETS AND SET OPERATIONS

1.

Which of the following is NOT a well-defined set?

a)

$𝐿=\left\{𝑥|𝑥\ 𝑖𝑠\ 𝑎\ 𝑓𝑒𝑚𝑎𝑙𝑒\ 𝑡𝑒𝑎𝑐ℎ𝑒r\ 𝑖𝑛\ 𝑀𝑎𝑘𝑎𝑡𝑖\ 𝐻𝑖𝑔ℎ\ 𝑆𝑐ℎ𝑜𝑜𝑙\right\}$

b)

$𝑂=\left\{𝑥|𝑥\ 𝑖𝑠\ 𝑎\ 𝑔𝑟𝑎𝑑𝑒\ 7\ 𝑡𝑒𝑎𝑐ℎ𝑒𝑟\ 𝑖𝑛\ 𝑀𝑎𝑘𝑎𝑡𝑖\ 𝐻𝑖𝑔ℎ\ 𝑆𝑐ℎ𝑜𝑜𝑙\right\}$

c)

$𝑉=\left\{𝑥|𝑥\ 𝑖𝑠\ 𝑎\ 𝑀𝑎𝑡ℎ𝑒𝑚𝑎𝑡𝑖𝑐𝑠\ 𝑡𝑒𝑎𝑐ℎ𝑒𝑟\ 𝑖𝑛\ 𝑀𝑎𝑘𝑎𝑡𝑖\ 𝐻𝑖𝑔ℎ\ 𝑆𝑐ℎ𝑜𝑜𝑙\right\}$

d)

$𝐸=\left\{𝑥|𝑥\ 𝑖𝑠\ 𝑎𝑛\ 𝑜𝑢𝑡𝑠𝑡𝑎𝑛𝑑𝑖𝑛𝑔\ 𝑡𝑒𝑎𝑐ℎ𝑒𝑟\ 𝑖𝑛\ 𝑀𝑎𝑘𝑎𝑡𝑖\ 𝐻𝑖𝑔ℎ\ 𝑆𝑐ℎ𝑜𝑜𝑙\right\}$

2.

Given are two sets, A and B, where 𝐴={1,2,3,4} and 𝐵={2,1,4,3}. Which of the following statements is TRUE with the given sets?

a)

𝐴⊂𝐵

b)

𝐴=𝐵

c)

𝑛(𝐴)≠𝑛(𝐵)

d)

𝐵⊃𝐴

3.

Which of the following sets is shown with the roster notation?

a)

$F=\left\{x/xisanevennumber\right\}$

b)

$𝑈=\left\{letter\sin theEnglishAlphabet\right\}$

c)

$𝐸=\left\{𝑟𝑒𝑑,𝑏𝑙𝑢𝑒,𝑦𝑒𝑙𝑙𝑜𝑤\right\}$

d)

$𝐿=\left\{𝑐𝑜𝑙𝑜𝑟𝑠𝑖𝑛𝑡ℎ𝑒𝑟𝑎𝑖𝑛𝑏𝑜𝑤\right\}$

4.

$Which\ ofthe\ following\ is\ a\ subset\ of\ 𝑃=\left\{1,@,9\right\}?$

a)

$\left\{1,@\right\}$

b)

$\left\{1,@,8\right\}$

c)

$\left\{5\right\}$

d)

$\left\{9,3,@\right\}$

5.

Using the given in #4, determine the cardinality of set P.

a)

2

b)

3

c)

4

d)

5

6.

Which of the following sets is equivalent to 𝑀={𝑎,#,4,5,&} ?

a)

{𝑎,#,4,&}

b)

{1,2,3,4,𝑎,#}

c)

{ 4,5,&}

d)

{1,2,3,4,5}

7.

Which of the following statement is/are TRUE?

I. An empty set is a set that has 0 as its element.

II. The given set is a subset to itself.

a)

I only

b)

II only

c)

Both I & II

d)

Neither I nor II

8.

If the total number of subsets that a set has is 64, how many elements does it have?

a)

5

b)

6

c)

7

d)

8

9.

Given 𝑄={𝐴𝑝𝑟𝑖𝑙,𝐽𝑢𝑛𝑒,𝑆𝑒𝑝𝑡𝑒𝑚𝑏𝑒𝑟,𝑁𝑜𝑣𝑒𝑚𝑒𝑏𝑒𝑟 }, which of the following is the correct description of the given set using set-builder notation?

a)

{𝑥|𝑥 𝑖𝑠 𝑎 𝑚𝑜𝑛𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟}

b)

{𝑥|𝑥 𝑖𝑠 𝑜𝑛𝑒 𝑜𝑓 𝑡ℎ𝑒 𝑚𝑜𝑛𝑡ℎ𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑓𝑖𝑟𝑠𝑡 𝑞𝑢𝑎𝑟𝑡𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟}

c)

{𝑥|𝑥 𝑖𝑠 𝑚𝑜𝑛𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟 𝑤𝑖𝑡ℎ 30 𝑑𝑎𝑦𝑠}

d)

{𝑥|𝑥 𝑖𝑠 𝑎 𝑚𝑜𝑛𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟 𝑤𝑖𝑡ℎ 31 𝑑𝑎𝑦𝑠}

10.

What are the subsets of the given set {∗,7} ?

a)

{ },{∗},{7},{∗,7}

b)

{ },{∗},{7}

c)

{∗},{7},{∗,7}

d)

{ },{7},{∗,7}

11.

Given 𝐴={1,3,7,8,9} and 𝐵={5,6,7 ,8,9}, then what is 𝐴∪𝐵?

a)

{6,7,8,9}

b)

{7,8,9}

c)

{1,3,5,6,7,8,9}

d)

{1,3,5,6,7}

12.

What will be the resulting set when we get the intersection of the sets

𝐷={𝑙,𝑜,𝑣,𝑒} and 𝐸={𝑔,𝑢,𝑖,𝑑,𝑒} ?

a)

{𝑙,𝑜,𝑣,𝑒,𝑔,𝑢,𝑖,𝑑}

b)

{𝑙,𝑜,𝑣}

c)

{𝑣,𝑒}

d)

{𝑒}

13.

If 𝑇={ℎ,𝑎,𝑚}, 𝑅={𝑚,𝑎,𝑡,ℎ}, and 𝑌={𝑖,𝑙,𝑜,𝑣,𝑒,𝑚,𝑎,𝑡,ℎ}, which of the following sets is the result when you get the intersection of the three sets denoted by 𝑇∩𝑅∩𝑌?

a)

{𝑖,𝑙,𝑜,𝑣,𝑒,𝑚,𝑎,𝑡,ℎ}

b)

{𝑖,𝑙,𝑜,𝑣,𝑒}

c)

{𝑚,𝑎,𝑡,ℎ}

d)

{𝑚,𝑎,ℎ}

14.

Given = { 𝑎, 𝑏, 𝑐, 𝑑, 𝑒, 𝑓, 𝑔, ℎ, 𝑖, 𝑗 } , Q = {a,b,c,d} and R = {c,d,e, f , g}. Find the

complement of Q .

a)

∅

b)

{e, f , g,h, i, j}

c)

{a,b,h, i, j}

d)

{a,b}

15.

If 𝐴 = {𝑎, 𝑒, 𝑖, 𝑜, 𝑢} and 𝐵 = {𝑙, 𝑜, 𝑣, 𝑒}, what will be the result when we get the

difference between sets A and B, in symbols, 𝐴 − 𝐵?

a)

$\left\{𝑙,𝑣\right\}$

b)

{𝑜, 𝑣, 𝑒}

c)

{𝑎, 𝑖, 𝑢}

d)

{𝑎, 𝑜, 𝑢}

PRE-TEST 1 SETS AND SET OPERATIONS

Total questions: 15

Worksheet time: 8mins

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