12th Standard Business Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Three | QB365

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12th Standard Business Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Three

Published on: 09/11/2020

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.

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Std: 12th Standard - Business Maths and Statistics

chapter: - Model Question paper

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Questions:

Multiple Choice Question

10 x 1 = 10

The normal equations for estimating a and b so that the line y = ax + b may be the line of best fit are __________

(a)

aΣx² + bΣx = Σxy, aΣx + nb = Σy

(b)

aΣx + bΣx² = Σxy, aΣx² + nb = Σy

(c)

aΣx + nb = Σxy, aΣx² + bΣx = Σy

(d)

aΣx² + nb = Σxy, aΣx + bΣx = Σy

Which of the following statements is true?

(a)

point estimate gives a range of value

(b)

sampling is done only to estimate a statistic

(c)

sampling is done to estimate the population parameter

(d)

sampling is not possible for an infinite population

If Z is a standard normal variate, then p(0

(a)

0.5

(b)

(c)

0.25

(d)

0.75

X is a random variable. Taking the values 3, 4 and 12 with probabilities \(\frac{1}{3},\frac{1}{4}\)and \(\frac{5}{12}\).Then E(X) is

(a)

(b)

(c)

(d)

To assign different jobs to the different machines to minimize the overall cost is ___________

(a)

transportation problem

(b)

assignment problem

(c)

minimax principle

(d)

maximin principle

The differential equation obtained by eliminating a and b from y = a e^3x + b e^-3x is _____________

(a)

\(\frac { { d }^{ 2 }y }{ dx^{ 2 } } \)+ay = 0

(b)

\(\frac { { d }^{ 2 }y }{ dx^{ 2 } } \)-9y = 0

(c)

\(\frac { { d }^{ 2 }y }{ dx^{ 2 } } -9\frac { dy }{ dx } \)

(d)

\(\frac { { d }^{ 2 }y }{ dx^{ 2 } } \)+9x = 0

\(\int { { e }^{ x } } \) f(x) + f' (x) dx = _____________ +c

(a)

e^x f(x)

(b)

e^x + f(x)

(c)

2e^x f(x)

(d)

e^x - f(x)

If A, B are two n x n non-singular matrices, then ___________

(a)

AB is non-singular

(b)

AB is singular

(c)

(AB)^-1 = A^-1 B^-1

(d)

(AB)^-1 does not exit

Δ(f(x) + g(x)) = ________

(a)

Δf(x) + Δg(x)

(b)

f(x) ± Δg(x)

(c)

f(x) Δ g(x)

(d)

g(x). Δf(x)

10.

The area of the region bounded by the line y = 3x + 2, the X-axis and the ordinates x = - 1 and x = 1is_________ sq. units.

(a)

\(\frac{13}{3}\)

(b)

(c)

\(\frac{26}{3}\)

(d)

\(\frac{3}{13}\)

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(a)
aΣx² + bΣx = Σxy, aΣx + nb = Σy

(a)
0.5

(b)
7

(b)
assignment problem

(b)
\(\frac { { d }^{ 2 }y }{ dx^{ 2 } } \)-9y = 0

(a)
e^x f(x)

The non-homogeneous equation are
2x - y + z = 7, 3x + y - 5z = 13, x + y + z = 5

Augmented matrix [A,B]	Elementary Transformation
\(\left( \begin{matrix} 2 & -1 & 1 \\ 3 & 1 & -5 \\ 1 & 1 & 1 \end{matrix}\begin{matrix} 7 \\ 13 \\ 5 \end{matrix} \right) \)
\(-\left( \begin{matrix} 1 & 1 & 1 \\ 3 & 1 & -5 \\ 2 & -1 & 1 \end{matrix}\begin{matrix} 5 \\ 13 \\ 7 \end{matrix} \right) \)	\({ R }_{ 1 }\leftrightarrow { R }_{ 3 }\)
\(\sim \left( \begin{matrix} 1 & 1 & 1 \\ 0 & -2 & -8 \\ 0 & -3 & -1 \end{matrix}\begin{matrix} 5 \\ -2 \\ -3 \end{matrix} \right) \)	\({ R }_{ 2 }\rightarrow { R }_{ 2 }-3{ R }_{ 1 }\) \({ R }_{ 3 }\rightarrow { R }_{ 3 }-2{ R }_{ 1 }\)
\(\sim \left( \begin{matrix} 1 & 1 & 1 \\ 0 & -2 & -8 \\ 0 & 0 & 11 \end{matrix}\begin{matrix} 5 \\ -2 \\ 0 \end{matrix} \right) \)	\({ R }_{ 3 }\rightarrow { R }_{ 3 }-\cfrac { 3 }{ 2 } { R }_{ 2 }\)