Question

Write the truth values of the following statements.

i) 3 is a prime number and 4 is a rational number
ii) All flowers are red or all cows are black.
iii) If Mumbai is in Maharashtra then Delhi is the capital of India.
iv) Milk is white if and only if the Sun rises in the West

Answer 1

Given : i) 3 is a prime number and 4 is a rational number

ii) All flowers are red or all cows are black.

iii) If Mumbai is in Maharashtra then Delhi is the capital of India.

iv) Milk is white if and only if the Sun rises in the West

To find :  truth values of the given statements

Solution:

Truth Value   0  for Wrong  

& 1 for correct

3 is a prime number  - Correct  - 1

4 is a rational number - Correct  1

1  and 1  =  1

3 is a prime number and 4 is a rational number - Truth Value is  1

( as both statement are Correct)

All flowers are red  - Incorrect    0    ( as other color flowers are also)

All cows are black -  Incorrect 0    ( as other color cows are also)

0 or 0   =  0  

All flowers are red or all cows are black.  -  Truth Value is  0

( as both statement are wrong)

Mumbai is in Maharashtra   - Correct - 1

Delhi is the capital of India. - Correct   1

if 1 then 1   =   1

If Mumbai is in Maharashtra then Delhi is the capital of India.

Truth Value is  1

(both statement are Correct)

Milk is white - Correct    1

Sun rises in the West - Incorrect  0  

1 iff  0  =  0

Milk is white if and only if the Sun rises in the West Truth Value is  0

(both statement are not Correct)

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Answer 2

Answer:

Step-by-step explanation:

Mumbai is in Maharashtra if and only if the capital of india