List of top Computer Science & Information Technology Questions asked in Andhra Pradesh Post Graduate Engineering Common Entrance Test

The number of 1's in the binary representation of $13 \times 16^3 + 11 \times 16^2 + 9 \times 16 + 3$?
A flip-flop circuit can be used for
Which of the following is a tautology?
If the following four statements are presented, then which of them is true?
(a) The number of false statements here is one.
(b) The number of false statements here is two.
(c) The number of false statements here is three.
(d) The number of false statements here is four.
A person wishes to make up as many different parties as he can out of 50 friends. Each party consists of the same number of friends. How many should be invited at a time?
If $ P $ is false, then what is the value of the proposition $ (P \rightarrow Q) \rightarrow R $?
The proposition $ \neg P \cup Q $ is equivalent to which of the following?
A graph has $ n $ vertices and $ e $ edges. What is the number of vertices in the spanning tree of that graph?
What is the chromatic number of a bipartite graph?
How many edges will a tree with $ n $ vertices have?

What is the minimum number of colours required to colour the following graph?

Which of the following statements is not true?
The number of subsets of a set consisting of 10 elements is?

What are the in-degree and out-degree of vertex 4?

Which of the following statements is true?
What is the coefficient of $ x^{10} $ in the expansion of the generating function $$ \left( 1 + x + x^2 + x^3 + \cdots \right)^2? $$
How many 5-digit numbers can be formed with the digits 0, 1, 2, 3, 4, with no digit being repeated?
How many terms will there be in the expansion of $ (x + y + z)^5 $?
What is the generating function for $ a_r $, where $ a_r $ is the number of integral solutions for the equation $$ a + b + c = r \quad \text{with} \quad 0 \leq a, b, c \leq 3? $$
What is the value of $ f(5) $ where $ f(n) $ is recursively defined as $ f(n) = n \times (n-1) $ for $ n>1 $ and $ f(1) = 2 $?