page 56 | Mathematics and Soft Skill-DDCET MCQ

Q561. Choose the correct answer for the \(I = \int_{0}^{\frac{\pi}{2}} (ln \: \cot \: x) \: dx\).

\(\frac{\tan^2 x}{2}\)

\(\frac{\cot^2 x}{2}\)

\(0\)

\(\frac{\cot \: x}{1}\)

Q562. If \(9^{log_9 (x^2-4x+5)} = x -1 \) then find the value of \(x\).

\( x = 3 \quad \& \quad x=3\)

\( x = 2 \quad \& \quad x=3\)

\( x = 2 \quad \& \quad x=2\)

\( x = -2 \quad \& \quad x=3\)

Q563. Find slope of line if inclination made by the line is \(60^\circ.\)

\(\frac{1}{\sqrt{2}}\)

\(\frac{1}{\sqrt{3}}\)

\(\sqrt{3}\)

\(1\)

Q564. What is the value of \(\lim\limits_{y \to 2} \frac{y^2-4}{y-2} \)

2

4

1

0

Q565. \(2sin 7 \theta \: cos3 \theta = _{------------}\)

\(tan2 \theta \: tan \theta \)

\(cot2 \theta \: cot \theta \)

\(- tan2 \theta \: tan \theta \)

\(sin 10 \theta + sin 4 \theta\)

Q566. If the Mean and Median are 25, then find the mode.

25

50

75

0

Q567. In business communication, what does the acronym "KPI" stand for?

Key Performance Indicator

Key Project Initiative

Knowledge Presentation Index

Kindly Provide Information

Q568. What does the term "Cliché" refer to in communication?

Slang

Overused expression

Formal language

Technical jargon

Q569. Which listening skill involves interpreting the speaker's words and emotions accurately?

Discriminative listening

Appreciative listening

Empathetic listening

Comprehensive listening

Q570. What is the inclination of a line which is parallel to x-axis?

\(0^\circ\)

\(180^\circ\)

\(45^\circ\)

\(90^\circ\)

MCQ

Aptitude Test (Mathematics and Soft Skill) DDCET