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Published on: 23/06/2021
QB365 provides detailed and simple solution for every
Creative Questions in class 12 Business Maths Subject.It will helps to get more idea about question pattern in
every Creative questions with solution.
Download Tamil Nadu 12th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test

1.
Seasonal variations are __________
Selling of umbrellas in rainy season
cool drinks in summer season
Prices of electronic gadgets
Sugarcane in Pongal
2.
If α is the level of significance. then the confidence Co-efficient is
α
1
1-α
1+α
3.
For a standard normal distribution, the mean and variance are _________
μ,σ2
μ,σ
0,1
1,1
4.
The following table is the probability distribution of random variable X.
| X | 1 | 2 | 3 | 4 | 5 | 6 |
| P(X) | 0.1 | 2k | k | 0.2 | 3k | 0.1 |
The value of k is _______.
0.2
0.1
0.3
0.4
5.
The methods of funding feasible solution to a transportation problem ___________
North West Corner Rule
Least Cost Method
Hungarian Method
Vogel's Approximation Method
6.
The integrating factor of \(\frac { dy }{ dx } +\frac { 2y }{ x } \)= x3 is _____________
2 log x
\({ e }^{ { x }^{ 2 } }\)
3log(x2)
x2
7.
If \(\int { \frac { 1 }{ \left( x+2 \right) \left( { x }^{ 2 }+1 \right) } } \) dx = a log \(\left| 1+{ x }^{ 2 } \right| \) +b tan-1 x + \(\frac { 1 }{ 5 } log\left| x+2 \right| \) +c then ___________
\(a=-\frac { 1 }{ 10 } ,b=\frac { -2 }{ 5 } \)
\(a=\frac { 1 }{ 10 } ,b=\frac { -2 }{ 5 } \)
\(a=-\frac { 1 }{ 10 } ,b=\frac { 2 }{ 5 } \)
\(a=\frac { 1 }{ 10 } ,b=\frac { 2 }{ 5 } \)
8.
If A, B are two n x n non-singular matrices, then ___________
AB is non-singular
AB is singular
(AB)-1 = A-1 B-1
(AB)-1 does not exit
9.
Δ is ____________
Commutative
distributive
closure
associative
10.
The Consumer's surplus for the demand function P =f(x) for the quantity Xo and price Po is_________
\(\int _{ 0 }^{ x0 }{ f(x)dx-{ p }_{ 0 }{ x }_{ 0 } } \)
\(\int _{ 0 }^{ x0 }{ f(x)dx } \)
p0x0-\(\int _{ 0 }^{ x0 }{ g(x)dx } \)
\(\int _{ 0 }^{ p0 }{ f(x)dx } \)
1.
(c)
Prices of electronic gadgets
2.
(c)
1-α
3.
(c)
0,1
4.
(b)
0.1
5.
(c)
Hungarian Method
6.
(d)
x2
7.
(c)
\(a=-\frac { 1 }{ 10 } ,b=\frac { 2 }{ 5 } \)
8.
The non-homogeneous equation are
2x - y + z = 7, 3x + y - 5z = 13, x + y + z = 5
| Augmented matrix [A,B] |
Elementary Transformation |
|---|---|
| \(\left( \begin{matrix} 2 & -1 & 1 \\ 3 & 1 & -5 \\ 1 & 1 & 1 \end{matrix}\begin{matrix} 7 \\ 13 \\ 5 \end{matrix} \right) \) | |
| \(-\left( \begin{matrix} 1 & 1 & 1 \\ 3 & 1 & -5 \\ 2 & -1 & 1 \end{matrix}\begin{matrix} 5 \\ 13 \\ 7 \end{matrix} \right) \) | \({ R }_{ 1 }\leftrightarrow { R }_{ 3 }\) |
| \(\sim \left( \begin{matrix} 1 & 1 & 1 \\ 0 & -2 & -8 \\ 0 & -3 & -1 \end{matrix}\begin{matrix} 5 \\ -2 \\ -3 \end{matrix} \right) \) | \({ R }_{ 2 }\rightarrow { R }_{ 2 }-3{ R }_{ 1 }\) \({ R }_{ 3 }\rightarrow { R }_{ 3 }-2{ R }_{ 1 }\) |
| \(\sim \left( \begin{matrix} 1 & 1 & 1 \\ 0 & -2 & -8 \\ 0 & 0 & 11 \end{matrix}\begin{matrix} 5 \\ -2 \\ 0 \end{matrix} \right) \) | \({ R }_{ 3 }\rightarrow { R }_{ 3 }-\cfrac { 3 }{ 2 } { R }_{ 2 }\) |
Clearly \(\rho (A)=3\) and \(\rho (A,B)\) = 3 = Number of unknowns
\(\therefore\) The given system is consistent and has unique solution.
9.
(b)
distributive
10.
(a)
\(\int _{ 0 }^{ x0 }{ f(x)dx-{ p }_{ 0 }{ x }_{ 0 } } \)
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