page 11 | Mathematics and Soft Skill-DDCET MCQ

Q111. The period of \(sin(2x)\) is \(_{------------}\).

\(\pi\)

\(2\pi\)

\(3\pi\)

\(4\pi\)

Q112. What is the value of \(\frac{d(\sin⁡ x^3 \: \cos⁡ x^2)}{dx} ?\)

\((3x^3 . \: \cos x^2 . \: \cos⁡ x^2 ) - (2x . \: \sin x^2)\)

\((3x^2 . \: \cos x^3 . \: \cos⁡ x^2 ) - (2x . \: \sin x^2)\)

\((3x^2 . \: \cos x^3 . \: \cos⁡ x^3 ) - (2x . \: \sin x^3)\)

\((3x^2 . \: \cos x^3 . \: \cos⁡ x^2 ) + (2x . \: \sin x^2)\)

Q113. What is the term for the intentional use of language to create a vivid picture or impression?

Euphemism

Alliteration

Metaphor

Hyperbole

Q114. If \(g(x) = e^{(2x)}\), what is \(g''(x)\), the second derivative of \(g(x)\) with respect to \(x?\)

\(4 e^{(2x)}\)

\(-4 e^{(2x)}\)

\(4 e^{(x)}\)

\(4 e^{(2)}\)

Q115. Identify the sentence with the appropriate use of articles.

I want a apple for a snack.

She gave me an advice about my career.

The apple tree in the backyard is blooming.

An advice is always helpful.

Q116. Choose the correct option for: \(I = \int x e^{4x} \: dx\).

\(\frac{e^{4}}{x} (x^3 -1)\)

\(\frac{e^{4x}}{1} (x-1)\)

\(\frac{e^{4x}}{4} (x^3 -1)\)

\( \frac{e^{4x}}{4} (x -\frac{1}{4})\)

Q117. Choose the sentence with the correct use of the phrasal verb.

She put up with the difficult task.

They put the meeting off yesterday.

He put the idea across convincingly.

We need to put more effort to complete the project.

Q118. What is the mean of ungrouped data?

The sum of all observations divided by the number of observations

The middle value of a data set when it is arranged in ascending or descending order

The value that occurs most frequently in the data set

None of the above

Q119. Identify the sentence with proper article usage.

I saw a interesting movie yesterday.

I saw an interesting movie yesterday.

I saw interesting movie yesterday.

I saw the interesting movie yesterday.

Q120. What is the derivative of the function \(f(x) = x^3+4^x+2^3\) with respect to \(x\)?

\( 3x^2+4^x \: log \: 4\)

\( 3x^2+4 \: log \: 4\)

\( 3x^2+x \: log \: 4\)

\( 3x^2+x \: log \: 4^x\)

MCQ

Aptitude Test (Mathematics and Soft Skill) DDCET