Business Mathematics NEB 2081 question paper

Group A

Very short answer questions(11 × 1 = 11)

1. 1.

   If A is a square matrix then $A-A^T$ is a) a diagonal matrix b) Symmetric matrix c) Skew-symmetric matrix d) Scalar matrix

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2. 2.

   Two matrices A and B can be multiplied to get AB if a) Both matrices are square of different order. b) Both matrices are rectangular of same order. c) No.of rows of A = no.of columns of B. d) No.of columns of A = no.of rows of B.

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3. 3.

   If the matrix of technical coefficients is $A=\left[\begin{array}{cc}0.1& 0.2\\ 0.3& 0.4\end{array}\right]$ then Leontief matrix is a) $\left[\begin{array}{cc}0.1& 0.2\\ 0.3& 0.4\end{array}\right]$ b) $\left[\begin{array}{cc}0.9& 0.2\\ 0.3& 0.6\end{array}\right]$ c) $\left[\begin{array}{cc}0.9& -0.2\\ -0.3& 0.6\end{array}\right]$ d) $\left[\begin{array}{cc}0.1& -0.8\\ -0.7& 0.4\end{array}\right]$

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4. 4.

   The functions f(x) is increasing on a domain D if a) $f^{\prime }(x)<0$ for all x in D b) $f^{\prime }(x)=0$ for all x in D c) $f^{\prime }(x)>0$ for all x in D d) $f^{\prime }(x)$ doesn't exist for all x in D

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5. 5.

   Which one of the following differential equation has the solution $xy=c$ ? a) $ydy+xdx=0$ b) $xdy+ydx=0$ c) $xdy-ydx=0$ d) $ydy-xdx=0$

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6. 6.

   Which one of the following is the sum of the series $1+\frac{1}{2}+\frac{1}{4}+\dots$ to $\infty$ a) $\frac{2}{3}$ b) $\frac{1}{2}$ c) 1 d) 2

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7. 7.

   If a computer costing Rs. 1,00,000 will deprciate to scrap value of Rs. 81,000 in 2 years. The rate of depreciation is a) 5% b) 10% c) 19% d) 23.45%

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8. 8.

   Which one of the following is the amount of annuity of Rs. 1,400 for a year at 8% p.a. ? a) Rs. 1400 b) Rs. 1512 c) Rs. 1521 d) Rs. 2511

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9. 9.

   In simplex method, $x+2y\le 4$ is written as $x+2y+k=4$. What is $k$ known as ? a) Basic variable b) Slack variable c) Surplus variable d) Pivot element

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10. 10.

    The Bowley's coefficient of skewness is based on a) median, standard deviation and mean b) lower quartile, upper quartile and median c) quartiles and standard deviation d) percentile and standard deviation

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11. 11.

    Which one of the following is the value of 'n' in a binomial distribution for which the mean is 4 and variance is 3. a) 4 b) 12 c) 16 d) 20 GROUP: B | Short answer questions | 8 × 5 = 40

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