Question 1 |
A bag contains 10 blue marbles, 20 green marbles and 30 red marbles. A marble is drawn from the bag, its colour recorded and it is put back in the bag. This process is repeated 3 times. The probability that no two of the marbles drawn have the same colour is
\left(\dfrac{1}{36}\right) | |
\left(\dfrac{1}{6}\right) | |
\left(\dfrac{1}{4}\right) | |
\left(\dfrac{1}{3}\right) |
Question 1 Explanation:
Question 2 |
If the trapezoidal method is used to evaluate the integral obtained \int_{0}^{1} x^2dx, then the value obtained
is always > (1/3) | |
is always < (1/3) | |
is always = (1/3) | |
may be greater or lesser than (1/3) |
Question 2 Explanation:
Question 3 |
The determinant of the matrix given below is
\begin{bmatrix} 0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1 \end{bmatrix}
\begin{bmatrix} 0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1 \end{bmatrix}
-1 | |
0 | |
1 | |
2 |
Question 3 Explanation:
Question 4 |
Let L be a regular language and M be a context-free language, both over the alphabet \Sigma. Let L^c and M^c denote the complements of L and M respectively. Which of the following statements about the language L^c\cup M^c is TRUE?
It is necessarily regular but not necessarily context-free. | |
It is necessarily context-free. | |
It is necessarily non-regular. | |
None of the above |
Question 4 Explanation:
Question 5 |
Which of the following statements is TRUE about the regular expression 01*0?
It represents a finite set of finite strings. | |
It represents an infinite set of finite strings. | |
It represents a finite set of infinite strings. | |
It represents an infinite set of infinite strings. |
Question 5 Explanation:
There are 5 questions to complete.