Find the minimum value of y = x² - 2x - 3

A. 4

B. 1

C. -1

D. -4

Evaluate \(\int \sin 2x dx\)

A. cos 2x + k

B. \(\frac{1}{2}\)cos 2x + k

C. \(-\frac{1}{2}\)cos 2x + k

D. -cos 2x + k

Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)

A. \(\frac{1}{12} (2x + 3)^6 + k\)

B. \(\frac{1}{3} (2x + 3)^{\frac{1}{2}} + k\)

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

D. \(\frac{1}{12} (2x + 3)^{\frac{3}{4}} + k\)

The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is

A. t

B. -t

C. 2

D. -2

\(\begin{array}{c|c}
Values & 0 & 1 & 2 & 3 & 4 \\
\hline
Frequency & 1 & 2 & 2 & 1 & 9
\end{array}\)

Find the mode of the distribution above

A. 1

B. 2

C. 3

D. 4

Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

A. 6

B. 5

C. 4

D. 3

Find the standard deviation of 5, 4, 3, 2, 1

A. \(\sqrt{2}\)

B. \(\sqrt{3}\)

C. \(\sqrt{6}\)

D. \(\sqrt{10}\)

In how many ways can a team of 3 girls be selected from 7 girls?

A. \(\frac{7!}{3!}\)

B. \(\frac{7!}{4!}\)

C. \(\frac{7!}{3!4!}\)

D. \(\frac{7!}{2!5!}\)

\(\begin{array}{c|c}
Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 18 & 22 & 20 & 16 & 10 & 14
\end{array}\)

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

A. \(\frac{1}{5}\)

B. \(\frac{1}{2}\)

C. \(\frac{2}{5}\)

D. \(\frac{3}{4}\)

A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?

A. \(\frac{2}{15}\)

B. \(\frac{1}{10}\)

C. \(\frac{1}{3}\)

D. \(\frac{2}{5}\)