Symmetric Ciphers Questions and Answers – Groups Rings and Fields

This set of Cryptography Multiple Choice Questions & Answers (MCQs) focuses on “Groups Rings and Fields”.

1. GCD(a,b) = GCD(b,a mod b)
a) True
b) False
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Consider the Following properties Properties
G-i) Closure
G-ii) Associative
G-iii) Identity Element
G-iv) Inverse Element
G-v) Commutative

Consider the Following properties Properties
R-i) Closure under multiplication
R-ii) Associativity of multiplication
R-iii) Distributive Law
R-iv) Commutativity of multiplication
R-v) Multiplicative Identity
R-vi) No zero divisors
R-vii) Multiplicative Inverse

2. All groups satisfy properties
a) G-i to G-v
b) G-i to G-iv
c) G-i to R-v
d) R-i to R-v
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3. An Abelian Group satisfies the properties
a) G-i to G-v
b) G-i to R-iv
c) G-i to R-v
d) R-i to R-v
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4. A Ring satisfies the properties
a) R-i to R-v
b) G-i to G-iv
c) G-i to R-v
d) G-i to R-iii
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5. A Ring is said to be commutative if it also satisfies the property
a) R-vi
b) R-v
c) R-vii
d) R-iv
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6. An ‘Integral Domain’ satisfies the properties
a) G-i to G-iii
b) G-i to R-v
c) G-i to R-vi
d) G-i to R-iii
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7. A Field satisfies all the properties above from G-i to R-vi.
a) True
b) False
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8. In modular arithmetic : (a/b) = b(a^-1)
a) True
b) False
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9. a.(b.c) = (a.b).c is the representation for which property?
a) G-ii
b) G-iii
c) R-ii
d) R-iii
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10. a(b+c) = ac+bc is the representation for which property?
a) G-ii
b) G-iii
c) R-ii
d) R-iii
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11. For the group Sn of all permutations of n distinct symbols, what is the number of elements in Sn?
a) n
b) n-1
c) 2n
d) n!
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12. For the group Sn of all permutations of n distinct symbols, Sn is an abelian group for all values of n.
a) True
b) False
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13. Is S a ring from the following multiplication and addition tables?
+ a b x a b
a a b a a a
b b a b a b

a) Yes
b) No
c) Can’t Say
d) Insufficient Data
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14. Does the set of residue classes (mod 3) form a group with respect to modular addition?
a) Yes
b) No
c) Can’t Say
d) Insufficient Data
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15. Does the set of residue classes (mod 3) form a group with respect to modular addition?
a) Yes
b) No
c) Can’t Say
d) Insufficient Data
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Sanfoundry Global Education & Learning Series – Cryptography and Network Security.

To practice all areas of Cryptography and Network Security, here is complete set of 1000+ Multiple Choice Questions and Answers

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