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Question

If $A=\{1, 3, 7, 9, 11\}$ and $B=\{3, 9, 12, 15, 18\}$, then $A\cap B$ is :

The correct answer is
$\{3, 9\}$

Set Intersection Calculation for Sets $A$ and $B$

The problem requires finding the intersection of two sets, $A$ and $B$. The intersection of sets, denoted as $A \cap B$, includes all elements that are common to both set $A$ and set $B$.

Given Sets

Set $A$ is defined as $ A = \{1, 3, 7, 9, 11\} $.

Set $B$ is defined as $ B = \{3, 9, 12, 15, 18\} $.

Identifying Common Elements

To compute $A \cap B$, we examine the elements listed in both sets and identify those that appear in both.

  • Element $1$ is in $A$ but not in $B$.
  • Element $3$ is present in both $A$ and $B$.
  • Element $7$ is in $A$ but not in $B$.
  • Element $9$ is present in both $A$ and $B$.
  • Element $11$ is in $A$ but not in $B$.
  • Elements $12$, $15$, and $18$ are in $B$ but not in $A$.

Intersection Result

The elements that are common to both Set $A$ and Set $B$ are $3$ and $9$. Therefore, the intersection $A \cap B$ is the set containing these common elements.

$ A \cap B = \{3, 9\} $

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Important Questions from Miscellaneous

  1. Which of the following scheduler/schedulers is/are also called CPU scheduler ?
    (A). Short Term Scheduler
    (B). Long Term Scheduler
    (C). Medium Term Scheduler
    (D). Asymmetric Scheduler
    Choose the correct answer from the options given below:
  2. A situation where two or more processes are blocked, waiting for resources held by each other is called:
  3. External fragmentation occurs ________.
  4. Which disk scheduling algorithm looks for the track closest to the current head position?
  5. Which CPU scheduling algorithm prefers the process with the shortest burst time?
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