Explore topic-wise MCQs in Discrete Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

If loga\((\frac{1}{8}) = -\frac{3}{4}\), than what is x?

A. 287
B. 469
C. 512
D. 623
Answer» D. 623
2.

Transform 54y = n+1 into equivalent a logarithmic expression.

A. log12 (n+1)
B. log41 (n2)
C. log63 (n)
D. log54 (n+1)
Answer» E.
3.

Evaluate: 16x – 4x – 9 = 0.

A. ln [( 5 + \(\sqrt{21}\)) / 2] / ln 8
B. ln [( 2 + \(\sqrt{33}\)) / 2] / ln 5
C. ln [( 1 + \(\sqrt{37}\)) / 2] / ln 4
D. ln [( 1 – \(\sqrt{37}\)) / 2] / ln 3
Answer» D. ln [( 1 – \(\sqrt{37}\)) / 2] / ln 3
4.

Given: log4 z = B log2/3z, for all z > 0. Find the value of constant B.

A. 2/(3!*ln(2))
B. 1/ln(7)
C. (4*ln(9))
D. 1/(2*ln(3))
Answer» E.
5.

Solve for x the equation 2x + 3 = 5x + 2.

A. ln (24/8)
B. ln (25/8) / ln (2/5)
C. ln (32/5) / ln (2/3)
D. ln (3/25)
Answer» C. ln (32/5) / ln (2/3)
6.

Solve for x: log2(x2-3x)=log2(5x-15).

A. 2, 5
B. 7
C. 23
D. 3, 5
Answer» E.
7.

Find the value of x: 3 x2 alogax = 348?

A. 7.1
B. 4.5
C. 6.2
D. 4.8
Answer» E.
8.

Determine the logarithmic function of ln(1+5x)-5.

A. 5x + \(\frac{25x^2}{2} + \frac{125x^3}{3} + \frac{625x^4}{4}\) …
B. x – \(\frac{25x^2}{2} + \frac{625x^3}{3} – \frac{3125x^4}{4}\) …
C. \(\frac{125x^2}{3} – 625x^3 + \frac{3125x^4}{5}\) …
D. -25x + \(\frac{125x^2}{2} – \frac{625x^3}{3} + \frac{3125x^4}{4}\) …
Answer» E.
9.

Solve the logarithmic function of ln(\(\frac{1+5x}{1+3x}\)).

A. 2x – 8x2 + \(\frac{152x^3}{3}\) – …
B. x2 + \(\frac{7x^2}{2} – \frac{12x^3}{5}\) + …
C. x – \(\frac{15x^2}{2} + \frac{163x^3}{4}\) – …
D. 1 – \(\frac{x^2}{2} + \frac{x^4}{4}\) – …
Answer» B. x2 + \(\frac{7x^2}{2} – \frac{12x^3}{5}\) + …
10.

Computation of the discrete logarithm is the basis of the cryptographic system _______

A. Symmetric cryptography
B. Asymmetric cryptography
C. Diffie-Hellman key exchange
D. Secret key cryptography
Answer» D. Secret key cryptography