MCA Entrance Previous Year Question Bank

Let $A=\{-3,-2,-1,0,1,2,3\}$. Let $R$ be a relation on $A$ defined by $xRy$ if and only if $0\le x^2+2y\le 4$. Let $l$ be the number of elements in $R$ and $m$ be the minimum number of elements required to be added in $R$ to make it a reflexive relation. Then $l+m$ is equal to:

'A' is B's sister. C is B's mother. D is C's father. How is D related to A is:

P's only sister Q's husband R has a brother S. How is S related to P?

A function $f:A\to B$ is one-one (injective) if:

A is mother of B. B is the sister of C. C is the father of D. What is A's relation to D?

Pointing to a boy, Rahul says, "He is the son of my grandmother's only daughter. "How is the boy related to Rahul?

A physicist is studying the relatioriship between the magnetic field strength x(in Tesla) and the electric field strength y (in volts per meter) at a particular point in space. The interaction betweeprthese fields uses an $equation:$ $(x^3-3x{y}^2)dx=(y^3-3x^{2}y)dy$.

At a certain moment, the magnetic flèld strength is x=2 Tesla and the electric field strength (sy=1 volt per meter. Which of the following equations best describes the relationship between the magnetic and electric field strengths at this point?

If R is a relation defined on the set Z of integers by the rule (x, y) ∈ R ⇔ x² + y² = 9, then the domain of R is