Construct the composition table for +5 on set S = 0, 1, 2, 3, 4 . - Vidyadip

Question

Construct the composition table for +₅ on set S = {0, 1, 2, 3, 4}.

✓

Answer

a +₅ b = the remainder when a + b is divided by 5.

eg. 2 + 4 = 6 ⇒ 2 +₅ 4 = 1 $\because$ [we get 1 as remainder when 6 is divided by 5]

2 + 4 = 7 ⇒ 3 +₅ 4 = 2 $\because$ [we get 2 as remainder when 7 is divided by 5]

The composition table for +₅ on set S = {0, 1, 2, 3, 4}.

+₅	0	1	2	3	4
0	0	1	2	3	4
1	1	2	3	4	0
2	2	3	4	0	1
3	3	4	0	1	2
4	4	0	1	2	3

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks" from RELATIONS AND FUNCTIONS→RELATIONS AND FUNCTIONS — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Let A = {1, 2, 3}, and let R₃ = {(1, 3), (3, 3)}. Find whether or not the relations R₃on A is:

Reflexive.
Symmetric.
Transitive.

Find the shortest distance between the following given lines $l_1$ and $l_2$
$
\begin{array}{l}
\vec{r}=\hat{i}+2 \hat{j}-4 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k}) \\
\text { and } \vec{r}=3 \hat{i}+3 \hat{j}-5 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k})
\end{array}
$

Differentiate the following w.r.t. x:
$\log\big[\log(\log\text{x}^5)\big]$

By using the properties of definite integral, evaluate the integral in Exercise:
$\int^{\frac{\pi}{2}}_{0}\frac{\cos^{5}\text{x}\ \text{dx}}{\sin^{5}\text{x}+\cos^{5}\text{x}}$

Write the position vector of the point which divdes the join of the points with position vectors $3\vec{\text{a}} - 2\vec{\text{b}} $ and $2\vec{\text{a}} + 3\vec{\text{b}} $ in the ratio 2 : 1.

Differentiate $\log(1+\text{x}^2)$ with respect to $\tan^{-1}\text{x}$

Find the angle between the lines whose direction ratios are a, b, c and b - c, c - a, a - b.

Write a value of $\int\frac{\sin2\text{x}}{\text{a}^2\sin^2\text{x}+\text{b}^2\cos^2\text{x}}\text{ dx}$

Write a value of $\int\frac{\sin\text{x}-\cos\text{x}}{\sqrt{1+\sin2\text{x}}}\text{ dx}$

Solve the following equation:
$(\text{e}^\text{y}+1)\cos\text{x dx}+\text{e}^\text{y}\sin\text{x}\text{dy}=0$