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Recent questions tagged binary-operation

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#Unacademy
Find inverse in a*b=a+b-ab for all a,b belongs to Q-{-1}. where Q is a rational number?please explain how the inverse will satisfy the equation of inverse(a*b=b*a=e)
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2 2 answers
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Zeal Test Series 2019: Set Theory & Algebra - Binary Operation
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Test by Bikram | Programming | Test 2 | Question: 6
Which among following statements is/are TRUE?& is bit-wise and && is a logical operator& returns an integer value whereas && returns a boolean valueBoth the above options...
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60 60 votes
4 answers 4 answers
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GATE CSE 1989 | Question: 1-v
The number of possible commutative binary operations that can be defined on a set of $n$ elements (for a given $n$) is ___________.
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41 41 votes
5 answers 5 answers
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GATE CSE 2015 | Set 3 | Question: 2
Let $\#$ be the binary operator defined as$X\#Y = X'+Y'$ where $X$ and $Y$ are Boolean variables.Consider the following two statements.$(S_1)$ $(P\#Q)\#R = P\#(Q\#R)$$(S_...
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36 36 votes
3 answers 3 answers
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GATE CSE 2015 | Set 1 | Question: 28
The binary operator $\neq$ is defined by the following truth table.$$\begin{array}{|l|l|l|} \hline \textbf{p} & \textbf{q}& \textbf{p} \neq \textbf{q}\\\hline \text{0} & ...
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61 61 votes
5 answers 5 answers
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GATE IT 2006 | Question: 2
For the set $N$ of natural numbers and a binary operation $f : N \times N \to N,$ an element $z \in N$ is called an identity for $f,$ if $f (a, z) = a = f(z, a),$ for all...
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50 50 votes
4 4 answers
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GATE CSE 1994 | Question: 2.2
On the set $N$ of non-negative integers, the binary operation ______ is associative and non-commutative.
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44 44 votes
8 answers 8 answers
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GATE CSE 2006 | Question: 28
A logical binary relation $\odot$, is defined as follows: $$\begin{array}{|l|l|l|} \hline \textbf{A} & \textbf{B}& \textbf{A} \odot \textbf{B}\\\hline \text{True} & \text...
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58 58 votes
12 answers 12 answers
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GATE CSE 2003 | Question: 38
Consider the set \(\{a, b, c\}\) with binary operators \(+\) and \(*\) defined as follows:$$\begin{array}{|c|c|c|c|} \hline \textbf{+} & \textbf{a}& \textbf{b} &\textbf{c...
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50 50 votes
3 answers 3 answers
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GATE CSE 2013 | Question: 1
A binary operation $\oplus$ on a set of integers is defined as $x \oplus y = x^{2}+y^{2}$. Which one of the following statements is TRUE about $\oplus$?Commutative but no...
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