Name of the Board : Tamilnadu Directorate of Government Examination
Name of the Exam : HSC – XII STD
Subject : Business Mathematics
Document Type : Sample Question Paper
Website : http://dge.tn.gov.in/
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/857912BusinessMaths.pdf
DGE TN Business Mathematics Question Paper
Time Allowed : 3 Hours
Maximum Marks : 200
Related : Directorate of Government Examination DGE Tamilnadu Class XII Biochemistry Model Question Paper : www.pdfquestion.in/8577.html
Instructions
Section – A :
Section A N.B. :
(i) Answer all the 40 questions
(ii) Each question carries one mark
(iii) Choose and write the correct answer from the four choices given.
Model Questions
1) If AB = BA = | A | I then the matrix B is
(a) the inverse of A
(b) the transpose of A
(c) the Adjoint of A
(d) 2A
2. The rank of a non singular matrix of order n x n is
(a) n
(b) n2
(c) 0
(d) 1
3. Equation of the directrix of x2 = 4ay is
(a) x + a = 0
(b) x – a = 0
(c) y + a = 0
(d) y – a = 0
4. The semi major and semi minor axes of x2/16 + y2/14 = 1
(a) (4, 5)
(b) (8, 10)
(c) (5, 4)
(d) (10, 8)
5. The sum of focal distances of any point on the ellipse is equal to length of its
(a) minor axis
(b) semi minor axis
(c) major axis
(d) semi major axis
6 Eccentricity of the rectangular hyperbola is
(a) 2
(b) 1/2
(c) Ö2
(d) 1 d
7. Given the demand equation p = -x + 10 ; (0 < x < 10) where p denotes the unit selling price and x denotes the number of units demanded of some product. Then the marginal revenue at x = 3 units is
(a) Rs. 5
(b) Rs. 10
(c) Rs. 4
(d) Rs. 30
8. If the rate of change of y with respect to x is 6 and x is changing at 4 units/sec,then the rate of change of y per sec is
(a) 24 units/sec
(b) 10 units/sec
(c) 2 units/sec
(d) 22 units/sec
9. The slope of the tangent at (2, 8) on the curve y = x3 is
(a) 3
(b) 12
(c) 6
(d) 8
10. y = x3 is always
(a) An increasing function of x
(b) Decreasing function of x
(c) A constant function
(d) None of these
11. The normal distribution curve is
(a) Bimodal
(b) Unimodal
(c) Skewed
(d) none of these
12) The standard error of the sample mean is
(a) Type I error
(b) Type II error
(c) Standard deviation of the sampling distribution of the mean
(d) Variance of the sampling distribution of the mean
13) If a random sample of size 64 is taken from a population whose standard deviation is equal to 32, then the standard error of the mean is
(a) 0.5
(b) 2
(c) 4
(d) 32
14) Probability of rejecting the null hypothesis when it is true is
(a) Type I error
(b) Type II error
(c) Sampling error
(d) Standard error
15) The Z-value that is used to establish a 95% confidence interval for the estimation of a population parameter is
(a) 1.28
(b) 1.65
(c)1.96
(d) 2.58
16) A time series consists of
(a) two components
(b) three components
(c) four components
(d) none of these
17) Laspeyre’s index formula uses the weights of the
(a) base year quantities
(b) current year quantities
(c) average of the weights of number of years
(d) none of these
18) Variation due to assignable causes in the product occur due to
(a) faulty process
(b) carelessness of operators
(c) poor quality of raw material
(d) all the above
19) Control charts in statistical quality consist of
(a) three control lines
(b) upper and lower control limits
(c) the level of process
(d) all the above
20) The range of correlation co-efficient is
(a) 0 to ¥
(b) -¥ 10 ¥
(c) -1 to 1
(d) none of these
Section – B : 10 x 6 = 60
Note :
(i) Answer any 10 questions out of15 questions given
(ii) Each question carries six marks
21. Find the equation of the hyperbola whose eccentricity is Ö 3, focus is (1, 2) and the corresponding directrix is 2x + y = 1.
22. The elasticity of demand with respect to price for a commodity is a constant and is equal to 2. Find the demand function and hence the total revenue function, given that when the price is 1, the demand is 4.
23. Find the missing term from the following data.
x : 1 2 3 4
f(x) : 100 — 126 157
24. Apply Lagrange’s formula to find y when x = 5 given that
x : 1 2 3 4 7
y : 2 4 8 16 128
25. A random sample of marks in mathematics secured by 50 students out of 200 students showed a mean of 75 and a standard deviation of 10. Find the 95% confidence limits for the estimate of their mean marks.
26. Calculate the correlation co-efficient from the following data.
x : 12 9 8 10 11 13 7
y : 14 8 6 9 11 12 3
27. Obtain the trend values by the method of Semi-Average
Year 1993 1994 1995 1996 1997 1998 1999 2000
Netprofit 38 39 41 43 40 39 35 25 (Rs lakhs)
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