page 46 | Mathematics and Soft Skill-DDCET MCQ

Q461. Which type of business letter is often used to announce a change in leadership within a company?

Circular Letter

Resignation Letter

Announcement Letter

Acknowledgment Letter

Q462. Identify the sentence with the correct use of the passive voice.

The chef cooks the meals in the kitchen.

The new building was constructed by the architects.

She writes a new poem every day.

They have painted the fence yesterday.

Q463. Select the sentence with proper use of articles.

I saw an unicorn in the park.

I saw the unicorn in a park.

I saw a unicorn in a park.

I saw unicorn in the park.

Q464. Which abbreviation is used to convey urgency in a business letter?

ASAP

EOD

FYI

TBD

Q465. Which word is a noun in the sentence:
Her laughter echoed in the room.

Her

laughter

echoed

room

Q466. Find the value of \(\frac{dy}{dx} \: \) if \(, \: y=x^{e^{x}}.\)

\( \frac{dy}{dx}= x^{e^{x}} . e^x (ln \: x + \frac{1}{x}) \)

\( \frac{dy}{dx}= x^{e^{x}} . e^x (ln \: e^x + \frac{1}{x}) \)

\( \frac{dy}{dx}= x^{e^{x}} . e^x (ln \: e^x + \frac{1}{e^x}) \)

\( \frac{dy}{dx}= x^{e^{x}} . e^x (1 + \frac{1}{e^x}) \)

Q467. If \(y = e^x\), what is \(dy/dx\)?

\(e^x\)

\(x^e\)

\(e^e\)

\(e^{lnx}\)

Q468. In a Letter of Credit, what role does the bank typically play?

Issuing payment

Confirming the order

Verifying credentials

Acknowledging receipt

Q469. The engineer recommended using a ___________ material for the bridge construction to ensure durability.

weather-resistive

weather-resistant

weather-resist

weather-resisting

Q470. What is the measure in degrees of the angle \(\theta = \frac{ 7 \pi} {6}\)?

\( 150 ^\circ\)

\( 210 ^\circ\)

\( 100 ^\circ\)

\( 120 ^\circ\)

MCQ

Aptitude Test (Mathematics and Soft Skill) DDCET