4 answers
3
A polynomial $p(x)$ satisfies the following:$p(1) = p(3) = p(5) = 1$ $p(2) = p(4) = -1$The minimum degree of such a polynomial is$1$$2$$3$$4$
9 answers
4
At what time between $6$ a. m. and $7$ a. m. will the minute hand and hour hand of a clock make an angle closest to $60^{\circ}$?$6: 22$ a.m.$6: 27$ a.m.$6: 38$ a.m.$6: 4...
5 answers
5
8 answers
7
What is the maximum number of edges in an acyclic undirected graph with $n$ vertices?$n-1$$n$$n+1$$2n-1$
4 answers
8
Let the function$$f(\theta) = \begin{vmatrix} \sin\theta & \cos\theta & \tan\theta \\ \sin(\frac{\pi}{6}) & \cos(\frac{\pi}{6}) & \tan(\frac{\pi}{6}) & \\ \sin(\frac{\pi...
4 answers
10
Which one of the following is the tightest upper bound that represents the time complexity of inserting an object into a binary search tree of $n$ nodes?$O(1)$$O(\log n)$...
5 answers
12
Consider the following determinant $\Delta = \begin{vmatrix} 1 & a & bc \\ 1 & b & ca \\ 1 & c & ab \end{vmatrix}$Which of the following is a factor of $\Delta$?$a+b$$a-b...
9 answers
13
When $n = 2^{2k}$ for some $k \geqslant 0$, the recurrence relation$T(n) = √(2) T(n/2) + √n$, $T(1) = 1$evaluates to :$√(n) (\log n + 1)$$√(n) \log n$$√(n) \log...