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Published on: 26/08/2020
12th Standard Business Maths English Medium Sample 1 Mark Creative Questions (New Syllabus) 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.
Questions + Answers key
Take MCQ Business Maths and Statistics Test

1.
Seasonal variations can be measured when the data are available in season wise __________
weeks
days
months
Quarters
2.
Fine data relating to x and yare to be fit in a straight line. It is found that Σx = 0 and Σy = 15. Then the y- intercept of the line is_____
1
2
3
42
3.
The component of a time series which is attached to short term fluctuations is __________
Seasonal variations
Cyclic variation
Irregular variation
all the above
4.
The point estimate variance of 6.33, 6.37, 6.36, 6.32, 6.37 is
0.0022
0.00055
0.0055
0.055
5.
The number of ways in which one can select 2 customers out of 10 customers is __________
90
60
45
50
6.
A coin is tossed 3 times. The probability of getting exactly 2 heads is _________
\(\frac{1}{2}\)
\(\frac{1}{8}\)
\(\frac{3}{8}\)
\(\frac{1}{4}\)
7.
The probability that a normal variate X lies in the interval (μ-σ, μ+σ) is ___________
0.0027
0.9973
0.6826
0.9544
8.
Which of the following are correct?
(i) E(aX+b) = a E(X) + b
(ii) μ2= μ21 - (μ11)2
(iii) μ2= variance
(iv) V (a X + b) = a2 V(x)
all
i, ii and iii
ii and iii
i and iv
9.
If F(x) is the probability distribution function, then F(- ∞) is_______.
1
2
∞
0
10.
If F(x) is the probability distribution function, then F(∞) is ________.
1
2
∞
0
11.
Variance of the random variable. X is 4, Its mean is 2. Then E(X2) is _________
2
4
6
8
12.
_____determines the highest out come for each alternative.
Maximum cost
Minimax criteria
Maximin criteria
Payoff
13.
Integrating factor of \(\frac { dy }{ dx } +\frac { 1 }{ xlogx } y=\frac { 2 }{ x^{ 2 } } \) is ______
ex
log x
\(\frac{1}{x}\)
e-x
14.
In (x2-y2)dy = 2xy dx, if we put y = vx, then the equation is transformed into _____________
\(\frac { 1+{ v }^{ 2 } }{ v+{ v }^{ 3 } } dv=\frac { dx }{ x } \)
\(\frac { 1{ -v }^{ 2 } }{ v(1+{ v }^{ 2 }) } dv=\frac { dx }{ x } \)
\(\frac { dv }{ { v }^{ 2 }-1 } =\frac { dx }{ x } \)
\(\frac { dv }{ 1+{ v }^{ 2 } } =\frac { dx }{ x } \)
15.
The differential equation of all circles with centre at the origin is _____________
xdy +ydx = 0
xdy - ydx = 0
xdx + ydy = 0
xdx - ydy = 0
16.
∫ x cos x dx = ____________ +c.
x sin x - cos x
-x sin x + cos x
-x sin x - cos x
x sin x + cos x
17.
∫ (1-x) \(\sqrt { x } \) dx = ______________+c
\(\frac { 2 }{ 3 } { x }^{ \frac { 3 }{ 2 } }-\frac { 5 }{ 2 } \)
\({ x }^{ \frac { 3 }{ 2 } }-\frac { 2 }{ 5 } { x }^{ \frac { 5 }{ 2 } }\)
\(\frac { 3 }{ 2 } { x }^{ \frac { 2 }{ 3 } }-\frac { 5 }{ 2 } { x }^{ \frac { 2 }{ 5 } }\)
\(\frac { 2 }{ 3 } { x }^{ \frac { 3 }{ 2 } }-\frac { 2 }{ 5 } { x }^{ \frac { 5 }{ 2 } }\)
18.
\(\int _{ 1 }^{ e }{ log } x\) dx = __________ +c
1
e-1
e+1
0
19.
If ∫ x sin x dx = - x cos x + α then α = __________ +c
sin x
cos x
C
none of these
20.
If \(\left| \begin{matrix} 2x & 5 \\ 8 & x \end{matrix} \right| =\left| \begin{matrix} 6 & -2 \\ 7 & 3 \end{matrix} \right| \) then x =
3
± 3
± 6
6
21.
If y is to be estimated for the value of x between two extreme points in a set of values, it is called ___________
Interpolation
extrapolation
Forward interpolation
backward interpolation
22.
If the values of x are not at equi-distant then we can use ______________
Newton's forward interpolation
Newton's backward interpolation
Lagrange's formula
graphical method.
23.
∆f(x + 3h) ______________
f(x + 3h) - f(x + 4h)
f(x + 4h) - f(x + 3h)
f(x + h) - f(x)
f(x + 2h) - f(x + 3h)
24.
The Producer's surplus for the supply function P = g(x) for the quantity Xo and price Po is_________
\(\int _{ 0 }^{ x0 }{ g(x)dx } -{ p }_{ 0 }{ x }_{ 0 }\)
\({ p }_{ 0 }{ x }_{ 0 }-\int _{ 0 }^{ x0 }{ g(x)dx } \)
\(\int _{ 0 }^{ x0 }{ g(x)dx } \)
\(\int _{ 0 }^{ p0 }{ g(x)dx } \)
25.
The area enclosed by the curve y = cos2x in [0,\(\pi\)] the lines x=0, x = \(\pi\) and the X-axis is ________sq.units.
2\(\pi\)
2\(\pi\)
\(\frac{2}{\pi}\)
\(\frac{\pi}{2}\)
26.
∇ ≡ _______.
1+E
1 - E
1− E−1
1+ E−1
27.
Decision theory is concerned with _______.
analysis of information that is available
decision making under certainty
selecting optimal decisions in sequential problem
All of the above
28.
North-West Corner refers to ________.
top left corner
top right corner
bottom right corner
bottom left corner
29.
A homogeneous differential equation of the form \(\frac { dx }{ dy } \) = f\(\left( \frac { y }{ x } \right) \) can be solved by making substitution,______.
x = v y
y = v x
y = v
x = v
30.
The differential equation of y = mx + c is ______.(m and c are arbitrary constants)
\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } \) = 0
y = x \(\frac { dy }{ dx } \) + c
xdy + ydx = 0
ydx − xdy = 0
31.
While computing a weighted index, the current period quantities are used in the: ________.
Laspeyre’s method
Paasche’s method
Marshall Edgeworth method
Fisher’s ideal method
32.
The additive model of the time series with the components T, S, C and I is ________.
y = T + S + C × I
y = T + S × C × I
y = T + S + C + I
y = T + S × C + I
33.
An estimator is said to be ________ if it contains all the information in the data about the parameter it estimates.
efficient
sufficient
unbiased
consistent
34.
35.
\(\Gamma (n)\) is _______.
(n −1)!
n!
\(n\Gamma (n)\)
(n −1)\(\Gamma \)(n)
36.
If the area to the left of a value of z (z has a standard normal distribution) is 0.0793, what is the value of z?
-1.41
1.41
-2.25
2.25
37.
The starting annual salaries of newly qualified chartered accountants (CA’s) in South Africa follow a normal distribution with a mean of Rs.180,000 and a standard deviation of Rs. 10,000. What is the probability that a randomly selected newly qualified CA will earn between Rs. 165,000 and Rs. 175,000 per annum?
0.819
0.242
0.286
0.533
38.
If X ~ N(9,81) the standard normal variate Z will be ________.
\(Z=\frac { X- 81 }{ 9 } \)
\(Z=\frac { X-9 }{ 81 } \)
\(Z=\frac { X-9 }{ 9 } \)
\(Z=\frac { 9-X }{ 9 } \)
39.
Which one is not an example of random experiment?
A coin is tossed and the outcome is either a head or a tail
A six-sided die is rolled
Some number of persons will be admitted to a hospital emergency room during any hour
All medical insurance claims received by a company in a given year
40.
A formula or equation used to represent the probability distribution of a continuous random variable is called ________.
probability distribution
distribution function
probability density function
mathematical expectation
41.
For a demand function p, if \(\int \frac{d p}{p}=k \int \frac{d x}{x}\) then k is equal to ________.
\(\eta \)d
-\(\eta \)d
\(\frac{-1}{\eta_{d}}\)
\(\frac{1}{\eta_{d}}\)
42.
For the system of equations x + 2y + 3z = 1, 2x + y + 3z = 2, 5x + 5y + 9z = 4 _______.
there is only one solution
there exists infinitely many solutions
there is no solution
None of these
43.
The rank of m x n matrix whose elements are unity is ________.
0
1
m
n
1.
(b)
days
2.
(c)
3
3.
(d)
all the above
4.
(b)
0.00055
5.
(c)
45
6.
(c)
\(\frac{3}{8}\)
7.
(c)
0.6826
8.
(a)
all
9.
(d)
0
10.
(a)
1
11.
(d)
8
12.
(b)
Minimax criteria
13.
(b)
log x
14.
(b)
\(\frac { 1{ -v }^{ 2 } }{ v(1+{ v }^{ 2 }) } dv=\frac { dx }{ x } \)
15.
(c)
xdx + ydy = 0
16.
(d)
x sin x + cos x
17.
(d)
\(\frac { 2 }{ 3 } { x }^{ \frac { 3 }{ 2 } }-\frac { 2 }{ 5 } { x }^{ \frac { 5 }{ 2 } }\)
18.
(a)
1
19.
(a)
sin x
20.
(c)
± 6
21.
(a)
Interpolation
22.
(c)
Lagrange's formula
23.
(b)
f(x + 4h) - f(x + 3h)
24.
(a)
\(\int _{ 0 }^{ x0 }{ g(x)dx } -{ p }_{ 0 }{ x }_{ 0 }\)
25.
(d)
\(\frac{\pi}{2}\)
26.
(c)
1− E−1
27.
(d)
All of the above
28.
(a)
top left corner
29.
(a)
x = v y
30.
(a)
\(\frac { { d }^{ 2 }y }{ d{ x }^{ 2 } } \) = 0
31.
(b)
Paasche’s method
32.
(c)
y = T + S + C + I
33.
(b)
sufficient
34.
(b)
35.
(a)
(n −1)!
36.
(a)
-1.41
37.
(b)
0.242
38.
(c)
\(Z=\frac { X-9 }{ 9 } \)
39.
(d)
All medical insurance claims received by a company in a given year
40.
(c)
probability density function
41.
(c)
\(\frac{-1}{\eta_{d}}\)
42.
(a)
there is only one solution
43.
(b)
1
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Physics

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Accountancy

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Computer Applications

Biology

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Computer Applications

Computer Science

Business Maths and Statistics

Commerce

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Physics

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