page 42 | Mathematics and Soft Skill-DDCET MCQ

Q421. Find the value of \(x\), if \(log_{10} (x-10)=1\).

20

0

10

4

Q422. \(tan(A + B) = _{------------}\)

\(\frac{tanA-tanB}{1+tanA \: tanB} \)

\(\frac{tanA-tanB}{1-tanA \: tanB} \)

\(\frac{tanA+tanB}{1+tanA \: tanB} \)

\(\frac{tanA+tanB}{1-tanA \: tanB} \)

Q423. \(\mathbf{Passage:}\)

The concept of time travel, a popular theme in science fiction, involves the ability to move between different points in time. While time travel remains theoretical and faces challenges such as paradoxes, the exploration of its possibilities continues to captivate scientific imagination and fuel creative storytelling.

Q.1: What is the concept of time travel in science fiction?
Q.2: What challenges does time travel face according to the passage?

Ans.1: Ability to travel at the speed of light
Ans.2: Challenges in space exploration

Ans.1: Ability to manipulate time perception
Ans.2: Challenges related to technological advancements

Ans.1: Ability to age slower than others
Ans.2: Challenges in energy consumption

Ans.1: Ability to move between different points in time
Ans.2: Challenges such as paradoxes

Q424. Choose the sentence with the correct use of conjunctions.

I wanted to go out; however, it was raining.

I wanted to go out, but it was raining.

I wanted to go out, so it was raining.

I wanted to go out, therefore it was raining.

Q425. In a Reply Letter, what is the primary purpose of the introductory paragraph?

Express gratitude

Address recipient's concerns

Introduce a new topic

Confirm receipt of an order

Q426. The \(60^{th}\) part of one degree is called one \(_{------------}\).

second

radian

minute

None of above

Q427. Find the value of \(\int \frac{1}{\sqrt{25-16 x^2}} \: dx\).

\( \frac{1}{4} \sin ^{-} \frac{4x}{5} + C \)

\( \frac{1}{4} \sin ^{-} \frac{5x}{4} + C \)

\( \frac{4}{1} \sin ^{-} \frac{5x}{4} + C \)

\(\sin ^{-} \frac{4x}{5} + C \)

Q428. Let \(A_{a\times b}\) and \(B_{c\times d}\) be two matrices, then for AB is possible if \(_{-----------}\).

\(a=d\)

\(b=c\)

\(a=b\)

\(c=d\)

Q429. What is the integral of \(3 \sqrt{x} + 2 x^{-\frac{1}{2}}\) with respect to \(x\) ?

\( 2 x^{\frac{3}{2}} + 4 x^{\frac{1}{2}} + C\)

\( x^{\frac{3}{2}} + x^{\frac{1}{2}} + C\)

\( 3 x^{\frac{3}{2}} + 2 x^{\frac{1}{2}} + C\)

\( x^{\frac{3}{2}} + 2 x^{\frac{1}{2}} + C\)

Q430. Choose __________ right tool for the job.

a

an

the

No article

MCQ

Aptitude Test (Mathematics and Soft Skill) DDCET