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Set Theory and Algebra MCQ - Sets

11:  

 The number of elements in the power set of the set {{a, b}, c} is

A.

8

B.

4

C.

3

D.

7

 
 

Option: B

Explanation :

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shivani said: (10:35pm on Saturday 1st March 2014)
Power set is:-{}, {{{a}, {b}}, {{{a, b}}, {c}}, {{{a, c}}, {b}, c}}, {{{a, b}, c}}
sukanto said: (8:50pm on Thursday 31st December 2015)
3 element sothat 2^3=8...[(A),(B),(C),(A.B),(A,C),(B,C),(),(A,B,C)]

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12:  

In a language survey of students it is found that 80 students know English, 60 know French, 50 know German, 30 known Enlgish and French, 20 know French and German, 15 know English and German and 10 students know all the three languages.

How many students know at least one language?

A.

135

B.

30

C.

10

D.

45

 
 

Option: A

Explanation :

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13:  

 If R = ((1, 1), (3, 1), (2, 3), (4, 2)), then which of the following represents R2, where R2 is R composite R?

A.

((1, 1), (3, 1), (2, 3), (4, 2))

B.

f(1, 1), (9, 1), (4, 9), (16, 4))

C.

1(1, 3), (3, 3), (3, 4), (3, 2))

D.

((1, 1), (2, 1), (4, 3), (3, 1))

 
 

Option: D

Explanation :

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14:  

In a room containing 28 people, there are 18 people who speak English, 15 people who speak Hindi and 22 people who speak Kannada, 9 persons speak both English and Hindi, 11 persons speak both Hindi and Kannada where as 13 persosn speak both Kannada and English. How many people speak all the three languages ?

A.

6

B.

7

C.

8

D.

9

 
 

Option: A

Explanation :

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15:  

Order of the power set of a set of order n is

A.

n

B.

2n

C.

n2

D.

2n

 
 

Option: D

Explanation :

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