MCA Entrance Previous Year Question Bank

Let F₁ be the set of parallelograms. F₂ the set of rectangles, F₃ the set of rhombuses, F₄ the set of squares and F₅ the set of trapeziums in a plane. Then F₁ may be equal to:

The set (A ∩ B') ∪ (B ∩ C) is equal to

The number of students who take both the subjects’mathematics and chemistry are 30.This represents 10% of the enrolment in mathematics and 12% of enrolment in chemistry. How many students take at least one of these two subjects?

(𝐴∩𝐵′)∪(𝐴′∩𝐵)∪(𝐴′∩𝐵′) 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

Find ${\bigcup }_{i=1}^{\infty }{A}_i$ and ${\bigcap }_{i=1}^{\infty }{A}_i$ for every positive integer i where $A_i$={$-i,$ i}. Here Z denotes set of integers.

Suppose that A_{i}=\{1,2,3,.....\}for i=1, 2, 3,....then find ${\cup }_{i=1}^{\infty }{A}_i=$ ? Here Z is set of integers.

What is the cardinality of these sets in the order of their serial number? (i){a} (ii){{a}} (iii){a,{a}} (iv){a,{a},{a,{a}}}

How many elements does the set P({𝜑,a,{𝑎},{ {𝑎}}})has; where a & b are distinct elements, P denotes power set.

The maximum number of equivalence relations on the set A = {1,2,3} are

If a relation R on the set {1,2,3} be defined by R = {(1, 2)}, then R is