Explore topic-wise MCQs in Symmetric Ciphers.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Symmetric Ciphers knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the inverse of (x5) modulo (x8+x4 +x3+ x + 1).

A. x<sup>5</sup>+ x<sup>4</sup>+ x<sup>3</sup>+x+1
B. x<sup>5</sup>+ x<sup>4</sup>+ x<sup>3</sup>
C. x<sup>5</sup>+ x<sup>4</sup>+ x<sup>3</sup>+1
D. x<sup>4</sup>+ x<sup>3</sup>+x+1
Answer» D. x<sup>4</sup>+ x<sup>3</sup>+x+1
2.

Find the inverse of (x2 + 1) modulo (x4 + x + 1).

A. x<sup>4</sup>+ x<sup>3</sup>+x+1
B. x<sup>3</sup>+x+1
C. x<sup>3</sup>+ x<sup>2</sup>+x
D. x<sup>2</sup>+x
Answer» C. x<sup>3</sup>+ x<sup>2</sup>+x
3.

On multiplying (x6+x4+x2+x+1) by (x7+x+1) in GF(28) with irreducible polynomial (x8 + x4 + x3 + x + 1) we get

A. x<sup>7</sup>+x<sup>6</sup>+ x<sup>3</sup>+x<sup>2</sup>+1
B. x<sup>6</sup>+x<sup>5</sup>+ x<sup>2</sup>+x+1
C. x<sup>7</sup>+x<sup>6</sup>+1
D. x<sup>7</sup>+x<sup>6</sup>+x+1
Answer» D. x<sup>7</sup>+x<sup>6</sup>+x+1
4.

On multiplying (x5 + x2 + x) by (x7 + x4 + x3 + x2 + x) in GF(28) with irreducible polynomial (x8 + x4 + x3 + x + 1) we get

A. x<sup>12</sup>+x<sup>7</sup>+x<sup>2</sup>
B. x<sup>5</sup>+x<sup>3</sup>+x<sup>3</sup>
C. x<sup>5</sup>+x<sup>3</sup>+x<sup>2</sup>+x
D. x<sup>5</sup>+x<sup>3</sup>+x<sup>2</sup>+x+1
Answer» E.
5.

Find the HCF/GCD of x6+x5+x4+x3+x2+x+1 and x4+x2+x+1.

A. x<sup>4</sup>+x<sup>3</sup>+x<sup>2</sup>+1
B. x<sup>3</sup>+x<sup>2</sup>+1
C. x<sup>2</sup>+1
D. x<sup>3</sup>+x<sup>2</sup>+1
Answer» C. x<sup>2</sup>+1
6.

The polynomial f(x)=x3+x+1 is a reducible.

A. True
B. False
Answer» C.
7.

If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+1, find the quotient of f(x) / g(x).

A. x<sup>4</sup>+x<sup>3</sup>+1
B. x<sup>4</sup>+1
C. x<sup>5</sup>+x<sup>3</sup>+x+1
D. x<sup>3</sup>+x<sup>2</sup>
Answer» C. x<sup>5</sup>+x<sup>3</sup>+x+1
8.

If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+1, find f(x) x g(x).

A. x<sup>12</sup>+x<sup>5</sup>+x<sup>3</sup>+x<sup>2</sup>+x+1
B. x<sup>10</sup>+x<sup>4</sup>+1
C. x<sup>10</sup>+x<sup>4</sup>+x+1
D. x<sup>7</sup>+x<sup>5</sup>+x+1
Answer» D. x<sup>7</sup>+x<sup>5</sup>+x+1