Question

Mark each of the following statements as true or false (inappropriate notation should fall under "false").

a. 14 = 25 mod 11
b. 14 ≡ 25 (mod 11)
c. 14 = 3 mod 11
d. 14 ≡ 3 (mod 11)
e. 3 = 14 mod 11
f. 3 ≡ 14 (mod 11)
g. 3 ≡ 14 mod 11
h. 3 = 14 (mod 11)

Answer 1

a.False

b.True

c.False

d.True

e.True

f.True

g.False

h.False

Explanation:

a.The quotient of 25/11 =2, 25-2*11=3 not 14

b.25/11 and 14/11 have the same remainder which is 3

c.The quotient of 3/11 =0, 3-0*11=3 not 14

d.14/11 and 3/11 have the same remainder which is 3

e.The quotient of 14/11 is 1, 14-1*11=3

f.14/11 and 3/11 have the same remainder which is 3

g.Incorrect expression

I. Incorrect expression