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Published on: 01/03/2021
12th Standard English Medium Business Maths Reduced Syllabus Creative one Mark Question with Answerkey - 2021(Public Exam )
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.
The components used in the time series y = T + S + C + l are __________
seasonal
secular
trend value
original value
2.
Choose the odd one out
It aims at a certain quality level to be guaranteed to the customers
It is easy to interpret
It is easy to construct
It has three control lines
3.
Chance variation does not affect _____ of the product
price
value
quantity
quality
4.
The normal equations of fitting a straight line y = ax+ b are 10a + 5b = 15 and 30a + 10b = 43. The slope of the line of best fit is _____
1.2
1.3
13
12
5.
In a line of best fit y = 5.8 (x - 1994) + 41.6, the value of y when x = 1997 is _____
50
54
59
60
6.
Variation due to assignable causes in the product occur due to, _____
faulty process
carelessness of operators
poor quality of raw material
all the above.
7.
Chance variation in the manufactured product is __________
controllable
not controllable
both (a) and (b)
none of these
8.
The terms prosperity, recession, depression and recovery are in particular attached to __________
Secular trend
Seasonal fluctuation!
Cyclic movements
irregular variation
9.
Cyclic variations in a time series are caused by __________
Lock out in a factor
war
floods
none of above
10.
The component of a time series which is attached to short term fluctuations is __________
Seasonal variations
Cyclic variation
Irregular variation
all the above
11.
An _______ is a specific observed value of a statistic
Estimation
Estimator
Estimate
Testing of hypothesis
12.
The point estimate variance of 21, 25, 20, 16, 12, 10, 17, 18, 13 and 11 is _______
23.5
2.35
4.85
48.5
13.
A sample of 100 students are drawn from 1550 student of a school. The mean weight and variance of the sample are 67.45 kg and 9 kg. Then the standard error is _________
.3
.9
.6745
6.745
14.
Out of 1000 T.V viewers, 320 watched a particular programme. Then the standard error is __________
-0.147
0.147
0.0147
-0.0147
15.
If a random sample of size 64 is taken from a population whose standard deviation is 32, then the standard error of the mean is __________
0.5
2
4
32
16.
In a binomial distribution if n = 5, p(x = 3) = 2. p(x = 2), then p = _________
2q
2p
q
\(\frac{2q}{3}\)
17.
If the variance of a Poisson distribution is 0.5. Then p(X = 3) is _________ (e-0.5= 0.6066)
0.1206
0.0126
0.1260
12.60
18.
In case of normal distribution, skewness is ___________
1
0
2
3
19.
If Z is a standard normal variate, then p(0
0.5
1
0.25
0.75
21.
A discrete random variable. X has the probability mass function p(x), then __________ is true.
0≤P(X)≤1
P(X)≥0
P(X)≤1
0
22.
If \(f(x)=\left\{\begin{array}{cc} \frac{A}{x}, & 1<x<e^{3} \\ 0, & \text { otherwise } \end{array}\right.\) is a p.d.f. of a continuous random variable. X then P(X≥e)
\(\frac{2}{3}\)
\(\frac{3}{2}\)
\(\frac{1}{6}\)
\(\frac{1}{8}\)
23.
A probability distribution function is defined by \(F(x)\begin{cases} 0,\ x<0 \\ 1-{ e }^{ -x },\ x\ge 0 \end{cases}\) The probability density function is __________
\(f(x)\begin{cases} { 3e }^{ -3x },\quad x\ge 0 \\ 0,\quad x<0 \end{cases}\)
\(\\ f(x)\begin{cases} { 1-e }^{ -3x },\quad x\ge 0 \\ 0,\quad x<0 \end{cases}\)
\(f(X)=0\forall x\)
f(x) = 3e - 3x\(\infty\)
24.
A random variable X has the following probability mass function
| X | -2 | 3 | 1 |
| P(X=x) | \(\frac{\lambda}{6}\) | \(\frac{\lambda}{4}\) | \(\frac{\lambda}{12}\) |
Then λ is
1
2
3
4
25.
The penalty is the difference between the ___ costs in each row and column.
smallest
biggest
minimum
least
26.
The methods of funding feasible solution to a transportation problem ___________
North West Corner Rule
Least Cost Method
Hungarian Method
Vogel's Approximation Method
27.
______ method provides optimum assignment schedule in an assignment problem.
North West Corner
Least cost
Vogel's Approximation Method
Hungarian Method
28.
The optimum_______schedule remains, unaltered if we add or subtract a constant from all the elements of the row or which of the cost________matrix.
transportation
assignment
unique
optimal
29.
In least cost method if the minimum cost is not unique then the choice can be made as ___________
arbitrarily
unique
difference
summation
30.
The particular integral of the differential equation \(\frac { d^{ 2 }y }{ { dx }^{ 2 } } -5\frac { dy }{ dx } \)+6y=e5x is _______
\(\frac { e^{ 5x } }{ 6 } \)
\(\frac { xe^{ 5x } }{ 21 } \)
6e5x
\(\frac { { e }^{ 5x } }{ 25 } \)
31.
The degree of c =\(\frac { \left[ 1+\left( \frac { dy }{ dx } \right) ^{ 3 } \right] ^{ 2/3 } }{ \frac { d^{ 3 }y }{ dx^{ 3 } } } \) where c is a constant is _____________
1
3
-2
2
32.
The degree of the differential equation \(\sqrt { 1+\left( \frac { { d }y }{ dx } \right) ^{ \frac { 1 }{ 3 } } } =\frac { { d }^{ 2 }y }{ dx^{ 2 } } \) is _____________
1
2
3
6
33.
The differential equation \(\left( \frac { dx }{ dy } \right) ^{ 2 }+5y^{ \frac { 1 }{ 3 } }\)= x is _____________
order 2 degree
order 1 degree 2
order 1 degree 6
order 1 degree 3
34.
The value of the integral \(\int _{ 0 }^{ \frac { \pi }{ 2 } }{ \frac { { \sqrt { cosx } } }{ \sqrt { cosx } +\sqrt { sinx } } } dx= \)
0
\(\frac { \pi }{ 2 } \)
\(\frac { \pi }{ 4 } \)
none of these
35.
The anti-derivative of f(x) = \(\sqrt { x } +\frac { 1 }{ \sqrt { x } } \) is ___________ +c
\(\frac { { 2 } }{ 3 } { x }^{ \frac { 3 }{ 2 } }+\frac { 2 }{ { x }^{ \frac { 1 }{ 2 } } } \)
\(\frac { { 3 } }{ 2 } { x }^{ \frac { 3 }{ 2 } }+2{ x }^{ \frac { 1 }{ 2 } }\)
\(\frac { { 2 } }{ 3 } { x }^{ \frac { 3 }{ 2 } }+2{ x }^{ \frac { 1 }{ 2 } }\)
none
36.
\(\int { \frac { 2 }{ { \left( { e }^{ x }+{ e }^{ -x } \right) }^{ 2 } } } \) dx = ____________ +c
\(\frac { { -e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } \)
\(-\frac { { -e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } \)
\(\frac { 1 }{ { \left( { e }^{ x }+1 \right) }^{ 2 } } \)
\(\frac { 1 }{ { e }^{ x }-{ e }^{ -x } } \)
37.
If A is a singular matrix, then Adj A is ___________
non-singular
singular
symmetric
not defined
38.
The value of \(\left| \begin{matrix} { 5 }^{ 2 } & { 5 }^{ 3 } & { 5 }^{ 4 } \\ { 5 }^{ 3 } & { 5 }^{ 4 } & { 5^{ 5 } } \\ { 5 }^{ 4 } & { 5 }^{ 5 } & { 5 }^{ 6 } \end{matrix} \right| \)
52
0
513
59
39.
In Newtons forward and backward interpolation formula, the first two terms will give the __________ interpolation
linear
parabolic
quadratic
cubic
40.
If y is to be estimated for the values of x which lies unside the given set of the values of it is called __________
Interpolation
extrapolation
Forward Interpolation
backward Interpolation
41.
If Y is to be estimated for the values of x when lies outside the given set of the values of it is called _____________
Interpolation
extrapolation
forward interpolation
backward interpolation
42.
The backward difference operator ∇ is ______________
Nepla
Alpha
Gamma
Delta
43.
For the given set of values; the value of ∆4y is ______________
| x | 1 | 2 | 3 | 4 | 5 |
| y | 1 | 8 | 27 | 64 | 125 |
7
12
6
0
44.
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.
45.
Newton's forward interpolation formula is used when the value of y is required near the ______ of the table
end
beginning
left
right
46.
If c is a constant, then Δc = ______________
c.∆
c.∇
0
1
47.
If R' (x) = \(\frac{1}{x+1}\), then the revenue function is_________
log|x+1|+k
\(\frac{-1}{x+1}\)
\(\frac{1}{(x+1)^2}\)
log\(\frac{1}{x+1}\)
48.
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.
\(\frac{13}{3}\)
13
\(\frac{26}{3}\)
\(\frac{3}{13}\)
49.
The area of the region bounded by the line 2y = -x + 8, X - axis and the lines x = 2 and x = 4 is ________ sq.units.
\(\frac{1}{5}\)
\(\frac{2}{5}\)
5
\(\frac{5}{2}\)
50.
The area bounded by y = 2x - x2 and X-axis is _________ sq. units
\(\frac{2}{3}\)
\(\frac{4}{3}\)
2
4
1.
(b)
secular
2.
(a)
It aims at a certain quality level to be guaranteed to the customers
3.
(d)
quality
4.
(b)
1.3
5.
(c)
59
6.
(d)
all the above.
7.
(d)
none of these
8.
(c)
Cyclic movements
9.
(d)
none of above
10.
(d)
all the above
11.
(c)
Estimate
12.
(a)
23.5
13.
(a)
.3
14.
(c)
0.0147
15.
(c)
4
16.
(a)
2q
17.
(b)
0.0126
18.
(b)
0
19.
(a)
0.5
21.
(a)
0≤P(X)≤1
22.
(a)
\(\frac{2}{3}\)
23.
(a)
\(f(x)\begin{cases} { 3e }^{ -3x },\quad x\ge 0 \\ 0,\quad x<0 \end{cases}\)
24.
(b)
2
25.
(b)
biggest
26.
(c)
Hungarian Method
27.
(d)
Hungarian Method
28.
(b)
assignment
29.
(a)
arbitrarily
30.
(a)
\(\frac { e^{ 5x } }{ 6 } \)
31.
(a)
1
32.
(d)
6
33.
(b)
order 1 degree 2
34.
(c)
\(\frac { \pi }{ 4 } \)
35.
(c)
\(\frac { { 2 } }{ 3 } { x }^{ \frac { 3 }{ 2 } }+2{ x }^{ \frac { 1 }{ 2 } }\)
36.
(a)
\(\frac { { -e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } \)
37.
(b)
singular
38.
(b)
0
39.
(a)
linear
40.
(a)
Interpolation
41.
(b)
extrapolation
42.
(a)
Nepla
43.
(d)
0
44.
(c)
Lagrange's formula
45.
(b)
beginning
46.
(c)
0
47.
(a)
log|x+1|+k
48.
(a)
\(\frac{13}{3}\)
49.
(c)
5
50.
(b)
\(\frac{4}{3}\)
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Tamilnadu Stateboard 12th Standard Subjects

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Chemistry

Physics

Biology

Computer Science

Business Maths and Statistics

Economics

Commerce

Accountancy

History

Computer Applications

Biology

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Computer Applications

Computer Science

Business Maths and Statistics

Commerce

Economics

Maths

Chemistry

Physics

Computer Technology

History

Accountancy

Tamil

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