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Worksheets

GE Math wk 10

Total questions: 30

Worksheet time: 10mins

Name
Class
Date
1.

I. Use the roster method to specify the elements of the given set.

{The counting numbers which are multiple of 2 and less than 25}.

a)

A={2,4,8,10,12,16,18, 20, 22, 24}

b)

A={2,4,6,8,9,10,12,14,18,20,22,24}

c)

A={2,4,6,8,10,12,14,16,18,20,22,24}

d)

None of these

2.

2. Use the roster method to specify the elements of the given set.

{The set of month after June in the year 2020-21}

a)

B={July, August, Sept. Oct. Nov. Dec.}

b)

B={July, Aug., Sept., Oct., Nov., Dec., 2021}

c)

B={July, Aug., Sept., Oct., Nov., Dec.,2020, Jan., Feb., March, April, May, June, July, Aug., Sept., Oct., Nov., Dec. 2021}

d)

None of these

3.

3. Use the roster method to specify the elements of the given set.

{The set of positive integers less than zero.}

a)

C={x/x -1 < x < 0, x E Z}

b)

C= { } or null set

c)

C={x/x 0< x <1, x E Z}

d)

None of these

4.

4. Use the roster method to specify the elements of the given set.

{The set of consonants in the English Alphabet.}

a)

D={b,c,d,f,g,h,j,k,l,m,n,p,q,r,s,t,v,w,x,y,z}

b)

D= { b,c,d,........z}

c)

D={x/x is the set of all consonants letters in English alphabet}

d)

D={b,c,d,f,g,h,j,k,m,n,p,q,r,t,v,w,x,y,z}

5.

5. Use the roster method to specify the elements of the given set.

{The set of all x such that x is the set of all planet in the solar system}

a)

E={ Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}

b)

E= { Mercury, Venus, Earth, Mars, Jupiter, Uranus, Neptune}

c)

E={Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto }

d)

None of these

6.

6. Identify the given set if it is finite, infinite or empty?

{The set of months in a year}

a)

finite

b)

infinite

c)

null set

d)

None of these

7.

7. Identify the given set if it is finite, infinite or empty?

{The set of even numbers greater than 100.}

a)

finite

b)

infinite

c)

null set

d)

None of these

8.

8. Identify the given set if it is finite, infinite or empty?

{The set of multiple of 5 between 20 and 500. }

a)

finite

b)

infinite

c)

null set

d)

None of these

9.

9. Identify the given set if it is finite, infinite or empty?

{The set of negative numbers greater than zero.}

a)

finite

b)

infinite

c)

null set

d)

None of these

10.

10. Identify the given set if it is finite, infinite or empty?

{The set of all lines on a plane passing through a given point.}

a)

finite

b)

infinite

c)

null set

d)

None of these

11.

11. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

A is a subset of U.

a)

True

b)

false

12.

12. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

A is a subset of B

a)

True

b)

false

13.

13. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

B is a subset of U

a)

True

b)

false

14.

14. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

C is a subset of A.

a)

True

b)

false

15.

15. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

D={ 1,3,7,9}

D Ϲ B or D is a subset of B.

a)

True

b)

false

16.

16. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

D={ 1,3,7,9}

D Ϲ A or D is a subset of A.

a)

True

b)

false

17.

17. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

D={ 1,3,7,9}

B C C or B is a subset of C

a)

True

b)

false

18.

18. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

D={ 1,3,7,9}

E={-5,-4,-3,-2,-1,0,1,2,3,4}

E C U or E is a subset of U

a)

True

b)

false

19.

19. Tell whether the statement is true or false, given that.

U={x/x is a real number}

A={x/x is an even number}

B={x/x is an odd number}

C={2,3,4,5,6}

D={ 1,3,7,9}

E={-5,-4,-3,-2,-1,0,1,2,3,4}

E C B or E is a subset of B

a)

True

b)

false

20.

20. Find the Cartesian product of the given sets.

B={m,n,o} C= {2,4,6} D={x/0 <x < 4}

BxC=

a)

{(m,2), (n, 2), (o,2), (m, 4), (n,4), (o, 4), (m,6),(n,6), (o,6)}

b)

{(m,n), (m, 4), (m,6), (n, 2), (n, 4), (n,6),(o,2), (o,4), (o.6)}

c)

{(m,2), (m, 4), (m,6), (n, 2), (n,4), (n, 6), (o,2),(o,4)}

d)

None of the these

21.

21. Find the Cartesian product of the given sets.

B={m,n,o} C= {2,4,6} D={x/0 <x < 4}

C x B=

a)

{(2,m), (2, n), (2,o), (4, m), (5, m), (4, o), (6,m),(6,n), (o,6)}

b)

{(2,4), (2, n), (2,o), (4, m), (4, m), (4, o), (6,m),(n,6), (6,o)}

c)

{(2,m), (4, m), (6,m), (2, n), (4, n), (6, n), (2,o),(4,o), (6,o)}

d)

None of the these

22.

22. Find the Cartesian product of the given sets.

B={m,n,o} C= {x/x is even no. less than 8} D={x/0 <x < 4}

B x B=

a)

{(m,o), (m, n), (m,o), (n, m), (n, o), (o, m), (o,m),(o,n), (n,o)}

b)

{(m,m), (m, n), (m,o), (n, m), (n, n), (n, o), (o,m),(o,n), (o,o)}

c)

{(m,n), (m, m), (m,o), (n, m), (n, o), (o, m), (m,o),(o,n), (o,o)}

d)

None of the these

23.

23. Give the Cardinal no. of the given set;

A={x/ x Ƹ whole number less than 30} n(A) = ____

a)

29

b)

30

c)

31

d)

None of the these

24.

24. Give the Cardinal no. of the given set;

B={x/ -1 < x < -5} n(B) =_____

a)

3

b)

4

c)

5

d)

None of the these

25.

25. Give the Cardinal no. of the given set;

C={x/x Ƹ of counting number between 0 and 100} n(C)=___

a)

98

b)

99

c)

100

d)

101

26.

26. Give the Cardinal no. of the given set;

D={x/ 2 < x < 20} n(D)=_____

a)

15

b)

16

c)

17

d)

18

27.

26. Give the Cardinal no. of the given set;

E={x/x is a prime number less than 2} n(E)=____

a)

1

b)

0

c)

{ }

d)

none of these

28.

28. Find the power set of the given set;

E={x/x is a prime number 2,3,5}

a)

E={{2},{3},{5},{2,3},{2,5},{3,5},{2,3,5},{0}}

b)

E={{2},{3},{5},{2,3},{3,2},{3,3},{2,3,5},{ }}

c)

E={{2},{3},{5},{2,3},{2,5},{3,5},{2,3,5},{ }}

d)

none of these

29.

29.

E={x/x E Z , 0 < x < 20}, -10 is an element of E?

a)

TRUE

b)

FALSE

30.

30. E={x/x E Z , -1 < x < 10}, 2 is an element of E?

a)

TRUE

b)

FALSE