Download App

Binary Operations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsBinary Operations2 Marks
Question
For the binary operation multiplication modulo 5 (×5) defined on the set S = {1, 2, 3, 4}. Write the value of (3 ×5 4-1)−1
✓

Answer

The composition table for ×5 on the set S = {1, 2, 3, 4} is
×5 1 2 3 4
1 1 2 3 4
2 2 4 1 3
3 3 1 4 2
4 4 3 2 1
Now,
(3 ×5 4-1)-1 = (3 ×5 4)-1 [$\because$ 4-1 = 4]
= 2-1 [3 ×5 4 = 2]
= 3 [$\because$ 2-1 = 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 "2 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

Evaluate the definite integral $\int\limits_0^{\frac{\pi }{4}} {\sin 2xdx}$
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\text{x}+\Big(\frac{\text{dy}}{\text{dx}}\Big)=\sqrt{1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2}$
→
Evaluate $\int\frac{2}{1-\cos2\text{x}}\text{ dx}$
→
Let A = $\left[\begin{array}{ccc} {1} & {2} & {1} \\ {2} & {3} & {1} \\ {1} & {1} & {5} \end{array}\right]$. verify that [adj A]–1 = adj (A–1)
→
A random variable has the following probability distribution:
X = Xi 1 2 3 4
P(X = Xi) k 2k 3k 4k
Write the value of $\text{P}(\text{X}\geq3).$
→
If $\vec{\text{a}}$ and $\vec{\text{b}}$ are two vectors of the same magnitude inclined at an angle of 60° such that $\vec{\text{a}}.\vec{\text{b}}=8,$
write the value of their magnitude.
→
Find the value of the determinant $\begin{vmatrix}243&156&300\\81&52&100\\-3&0&4\end{vmatrix}$
→
If A = {a, b, c, d} and the function f = {(a, b), (b, d), (c, a), (d, c)}, write f-1.
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$2\frac{\text{d}^2\text{y}}{\text{dx}^2}+3\sqrt{1-\Big(\frac{\text{dy}}{\text{dx}}\Big)^2-\text{y}}=0$
→
Write the value of $\cos\Big(2\sin^{-1}\frac{1}{2}\Big).$
→