Question

Science
1. If the truth value of p, q and rare F, T & T respectively then find the truth value
of the following statement
a. (p V-4)= (1-r) b. (p = q) v (r = -
2. Show the following pairs are equivalent or not. (Use truth value table)
a. -(pvq) =r= (p=r) V-
b. p= (Vr) = (-r) = (p =9)
3. Construct the truth value table for the following statements and also determine
whether a tautology or contradiction.
a. -(p = q) v (p ^ -r).
b. (p = q) (
ar)) = (p = n).
4. Show that p V-9,9 =
—r, Gp = q (q=r) is valid or not
5. In a certain school, there are 180 pupils in Year 7. One hundred and ten pupils
study French, 88 study German and 65 study Indonesian. Forty pupils study
both French and German, 38 study German and German only. Find the number
of pupils who study:
a. all three languages
b. Indonesian only
c. none of the languages
d. at least one language​

Answer 1

Answer:

is a square roots of 2 and putting it you get the answer