page 38 | Mathematics and Soft Skill-DDCET MCQ

Q381. Find the correct answer: \(\int \frac{64}{128-64x^2 } \: dx\).

\( \frac{1}{2 \sqrt{2}} \: log \vert \frac{x+\sqrt{2}}{x - \sqrt{2}}\vert + c \)

\( \frac{1}{ \sqrt{2}} \: log \vert \frac{x+\sqrt{2}}{x - \sqrt{2}}\vert + c \)

\( \frac{1}{ \sqrt{2}} \: log \vert \frac{x-\sqrt{2}}{x +\sqrt{2}}\vert + c \)

\( \frac{1}{2 \sqrt{2}} \: log \vert \frac{x-\sqrt{2}}{x + \sqrt{2}}\vert + c \)

Q382. What is the main purpose of a Letter of Complaint?

Expressing dissatisfaction

Requesting information

Confirming an order

Acknowledging receipt

Q383. The new computer program is ___________ for all operating systems.

compatible

compatibly

compatibility

compatibles

Q384. A line passes through \((2, 8)\) and \((4, 15)\). What is a possible equation for a line perpendicular to this one?

\(y = \frac{2}{7} x +4\)

\(y = -\frac{2}{7} x +4\)

\(y = -\frac{7}{2} x +4\)

\(y = \frac{7}{2} x +4\)

Q385. Choose the passive form of the sentence:
The gardener is planting flowers in the garden.

The garden is planted with flowers by the gardener.

The flowers are being planted in the garden by the gardener.

The gardener plants flowers in the garden.

Planting flowers in the garden is the gardener.

Q386. Choose the sentence with the accurate word usage.

The artist created a beautiful affect with colors.

The patient's recovery was a direct effect of the new treatment.

The prescription had a positive affect on her health.

The company's policy will effect changes in employee benefits.

Q387. Identify the sentence with the correct use of "elicit" and "illicit."

The detective used illicit methods to elicit a confession.

The detective used elicit methods to illicit a confession.

The detective used illicit methods to illicit a confession.

The detective used elicit methods to elicit a confession.

Q388. Find the \(\frac{d}{dx} (log_e \sqrt{x^2+a^2})\).

\(\frac{2x}{\sqrt{x^2+a^2}}\)

\(\frac{2x}{x^2+a^2}\)

\(\frac{x}{x^2+a^2}\)

\(\frac{x}{\sqrt{x^2+a^2}}\)

Q389. Select the sentence with the correct placement of adjectives.

The red big balloon popped.

She wore a beautiful silk blue dress.

He is a man old wise.

The small black cat is hiding.

Q390. What does the abbreviation "CEO" represent in business communication?

Customer Engagement Officer

Chief Executive Officer

Corporate Email Outreach

Communication Effectiveness Officer

MCQ

Aptitude Test (Mathematics and Soft Skill) DDCET