Write the composition table for the binary operation multiplicati… - Vidyadip

Question

Write the composition table for the binary operation multiplication modulo 10 (×₁₀) on the set S = {2, 4, 6, 8}.

✓

Answer

2 ×₁₀4 = Remainder obtained by dividing 2 × 4 by 10 = 8
4 ×₁₀6 = Remainder obtained by dividing 4 × 6 by 10 = 4
2 ×₁₀8 = Remainder obtained by dividing 2 × 8 by 10 = 6
3 ×₁₀4 = Remainder obtained by dividing 3 × 4 by 10 = 2
Therefore, the composition table is as follows:

×₁₀	2	4	6	8
2	4	8	2	6
4	8	6	4	2
6	2	4	6	8
8	6	2	8	4

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 Binary Operations→Binary Operations — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

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

Find the mean and standard deviation of the following probability distributions:

x_i	0	1	3	5
p_i	0.2	0.5	0.2	0.1

For any vector $\vec{a}$ prove that $|\vec{a} \times \hat{i}|^2+|\vec{a} \times \hat{j}|^2+|\vec{a} \times \hat{k}|^2=2|a|^2$

Write the following in the simplest form:
$\sin^{-1}\Big\{\frac{\text{x}+\sqrt{1-\text{x}^2}}{\sqrt{2}}\Big\},-1<\text{x}<1$

Solve the following equation for x:
$\tan^{-1}(\text{x}+1)+\tan^{-1}(\text{x}-1)=\tan^{-1}\frac{8}{31}$

Find the matrix A such that
$\text{A}=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}=\begin{bmatrix}-7&-8&-9\\2&4&6\\11&10&9\end{bmatrix}$

Verify $A(\operatorname{adj} . A)=(\operatorname{adj} . A) A=|A| \mid$ : $\left[\begin{array}{cc} 2 & 3 \\ -4 & -6 \end{array}\right] $

Evaluate the following integrals:
$\int\frac{\text{x}}{(\text{x}^2+4)\sqrt{\text{x}^2+9}}\text{ dx}$

An unbiased die is thrown twice. A success is getting a number greater than 4. Find the probability distribution of the number of successes.

If f(0) = f(1) = 0, f'(1) = 1 and y = f(e^x) e^f(x), write the value of $\frac{\text{dy}}{\text{dx}}\text{ at x} = 0.$