page 57 | Mathematics and Soft Skill-DDCET MCQ

Q571. Unit matrix \(I = _{-----------}\).

\(\begin{bmatrix}0 & 1 \\ 1 & 0 \end{bmatrix} \)

\(\begin{bmatrix}0 & 0 \\ 0 & 0 \end{bmatrix} \)

\(\begin{bmatrix}1 & 1 \\ 1 & 1 \end{bmatrix} \)

\(\begin{bmatrix}1 & 0 \\ 0 & 1 \end{bmatrix} \)

Q572. If \(log_x (y) = 100 \:\:\: \& \:\:\: log_2 (x) = 10\), then what is the value of \(y?\)

\(2^{10000}\)

\(2^{10}\)

\(2^{1000}\)

\(2^{100}\)

Q573. If \(\int 2^x \: dx = f(x) + C,\) then \(f(x)\) is

\(2^x\)

\(2^x ln2\)

\(\frac{2^x}{ln2}\)

\(2\)

Q574. If \(log_b (p)=q\), express \(b^{q-1}\) in terms of \(b\) and \(p\).

\(\frac{p}{b}\)

\(\frac{b}{p}\)

\(\frac{b^2}{p}\)

\(\frac{b}{p^2}\)

Q575. Choose the correct answer for the \(I = \int_{-4}^4 (\sin^5 \:x) \: dx\).

\(0\)

\(\frac{\sin^5 x}{5}\)

\(\frac{\sin^6 x}{6}\)

\(\frac{\sin^5 x}{20}\)

Q576. The system of equations \(AX=O\) is \(_{------}\).

unique

always consistent

inconsistent

non homogeneous

Q577. What is the median 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

Q578. Select the sentence with proper use of the conditional clause.

If I will see him, I will tell him.

If I see him, I will tell him.

If I seen him, I will tell him.

If I am seeing him, I will tell him.

Q579. Which of the following conditions holds true for a symmetric matrix?

\( A=-A' \)

\( A=A' \)

\( (A')'=-A \)

None of above

Q580. Which of the following is an example of an interpersonal communication barrier?

Technical jargon

Noise

Lack of empathy

Formal language

MCQ

Aptitude Test (Mathematics and Soft Skill) DDCET