page 4 | Mathematics and Soft Skill-DDCET MCQ

Q41. \(\mathbf{Passage:}\)

The sun is a giant ball of gas that emits light and heat. It is the center of our solar system, and its energy is essential for life on Earth. Without the sun, our planet would be cold and dark.

Q.1: What is the main source of energy for Earth?
Q.2: Why would Earth be cold and dark without the sun?

Ans.1: Planets
Ans.2: Lack of atmosphere

Ans.1: Moon
Ans.2: Lack of water

Ans.1: Stars
Ans.2: Lack of magnetic field

Ans.1: Sun
Ans.2: Lack of sunlight

Q42. The chef __________ a delicious cake for the celebration.

bakes

was baked

baked

is baking

Q43. Let \(A_{a\times b}\) and \(B_{c\times d}\) be two matrices, then for AB is possible if \(_{-----------}\).

\(a=d\)

\(b=c\)

\(a=b\)

\(c=d\)

Q44. What is the value of \(\frac{d}{dx} (\frac{a^x}{e^x})?\)

\(\frac{a^x (ln (a) +1)} {e^x}\)

\(\frac{a^x (ln (a) -1)} {e^2}\)

\(\frac{e^x (ln (a) -1)} {e^x}\)

\(\frac{a^x (ln (a) -1)} {e^x}\)

Q45. Express \(5^3 = 125\) in logarithm form.

\(log_{5} (3) = 125\)

\(log_{125} (3) = 5\)

\(log_3 (125) = 5\)

\(log_5 (125) = 3\)

Q46. What is the antonym of "benevolent"?

Malevolent

Kind

Generous

Altruistic

Q47. Find the correct answer: \(\int \frac{6}{ \sqrt{72-36x^2 }} \: dx\).

\( \sin^{-} (\frac{x}{2}) + c\)

\( \cos^{-} (\frac{x}{2}) + c\)

\( \sin^{-} (\frac{x}{\sqrt{2}}) + c\)

\( \cos^{-} (\frac{x}{\sqrt{2}}) + c\)

Q48. The report __________ by the team last week.

was writing

was written

wrote

writes

Q49. Select the sentence with the correct use of the comparative adjective.

This is the more better option.

This is the better option.

This is the goodest option.

This is the bestest option.

Q50. Which non-verbal cue is commonly associated with open and honest communication?

Crossing arms

Maintaining eye contact

Avoiding gestures

Looking away frequently

MCQ

Aptitude Test (Mathematics and Soft Skill) DDCET