${\text{The formula of discount factor for }}n{\text{ periods is __________.}}$

• A) $\frac{{(1 - {{(1 + i)}^{ n}})}}{i}$
• B) $\frac{{(1 + \frac{1}{{{{(1 + i)}^n}}})}}{{i + 1}}$
• C) $\frac{{(1 - \frac{1}{{{{(1 + i)}^n}}})}}{{i -1}}$
• D) $\frac{{(1 - \frac{1}{{{{(1 + i)}^n}}})}}{{i }}$

${\text{The formula used for finding accumulated factor }} S {\text{ of an annuity is given by: }} S= {\text{_________}}{\text{.}}$

• A) $\frac{{r({{(1 + i)}^n} - 1)}}{i^2+1}$
• B) $\frac{{r({{(1 + i)}^n} - 1)}}{i-1}$
• C) $\frac{{r({{(1 + i)}^n} - 1)}}{i}$
• D) $\frac{{r({{(1 + i)}^n} + 1)}}{i}$

What is optimization?

• A) The process of minimizing costs.
• B) The process of simplifying complex problems.
• C) The process of finding the best solution among all feasible solutions.
• D) The process of maximizing resources.

${\text{If}}\,\,\,\frac{1} {2} = \frac{x} {3}\,\,\,{\text{then}}\,\,\,x = \_\_\_\_\_\_\_\_\_.$

• A) $\frac{1} {6}$
• B) $\frac{2} {3}$
• C) $\frac{1} {2}$
• D) $\frac{3} {2}$

A matrix with dimension $n×1$ is known as _________.

• A) column matrix
• B) singular matrix
• C) null matrix
• D) row matrix

$$If\,\,\,{\rm{List price = 4,500 Rs,}}\,\,\,\,\,{\rm{Discount = 20 \% }}{\rm{.}}\,\,Find\,\,\,the\,\,\,{\rm{Net cost price?}}$$

• A) $$3200$$
• B) $$None\,\,of\,\,these$$
• C) $$4300$$
• D) $$3600\,$$

What is the 3-by-3 multiplicative identity matrix?

• A) $\left[ {\begin{array}{*{20}{c}} 1&0&0 \\ 0&0&0 \\ 0&0&0 \end{array}} \right]$
• B) $\left[ {\begin{array}{*{20}{c}} 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{array}} \right]$
• C) $\left[ {\begin{array}{*{20}{c}} 0&0&0 \\ 0&1&0 \\ 0&0&0 \end{array}} \right]$
• D) $\left[ {\begin{array}{*{20}{c}} 0&0&0 \\ 0&0&0 \\ 0&0&0 \end{array}} \right]$

a (A + B) = ___________

• A) A + B
• B) a A + B
• C) A + a B
• D) a A + a B

$$Which\,\,one\,\,is\,\,correct\,\,in\,\,the\,\,following,\,\,if\,\,2\left[ \begin{array}{l} 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 1 \\\ - 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0 \\\ \end{array} \right].$$

• A) $$None\,\,of\,\,these$$
• B) $$\left[ \begin{array}{l} 6\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 2 \\\ - 8\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0 \\\ \end{array} \right]$$
• C) $$\left[ \begin{array}{l} - 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,1 \\\ 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0 \\\ \end{array} \right].$$
• D) $$\left[ \begin{array}{l} 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 1 \\\ - 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0 \\\ \end{array} \right].$$

${\text{A matrix is a rectangular array of }}\_\_\_\_\_\_\_\_\_\_\_\_\_.$

• A) numbers
• B) palces
• C) symbols
• D) objects

${\text{If you buy}}100{\text{ shares at Rs}}{\text{. }}62.50{\text{ per share with a }}2\% {\text{ commission then the total cost is }}\_\_\_\_\_\_\_\_\_\_\_\_\_.\,$

• A) ${\text{Rs}}{\text{. }}6350\;$
• B) ${\text{Rs}}{\text{. }}6250\;$
• C) ${\text{Rs}}{\text{. }}6275\;$
• D) ${\text{Rs}}{\text{. }}6375\;$

An identity matrix I is a diagonal matrix with all diagonal elements are _____________.

• A) 1
• B) any number
• C) 0
• D) the same number

Solution of linear equation; 0x+8 = 5 ………….

• A) -3
• B) Can never be determined
• C) 0
• D) -13

If A and B are both m×n matrices then A+B exists and is an ______ matrix.

• A) n×n
• B) m×n
• C) m×m
• D) n×m

Can we subtract a negative integer k from identity matrix of any dimension?

• A) No
• B) Yes
• C)
• D)

Let Accumulating Factor (AF) = 26.24 and
Accumulating value (AV) = 26764.8
Then Annuity is……..

• A) 1420
• B) 1320
• C) 1020
• D) 1120

If $A = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 1 \hfill \\ 0 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 0 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]$ and $B = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ 2 \hfill \\ 0 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 2 \hfill \\ 0 \hfill \\ \end{gathered} \end{array}} \right]$ then $A+B$ will be __________.

• A) $$\left[ {\begin{array}{*{20}{c}} \begin{gathered} 3 \hfill \\ 2 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 4 \hfill \\ 1 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]$$
• B) $$\left[ {\begin{array}{*{20}{c}} \begin{gathered} 3 \hfill \\ 2 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 4 \hfill \\ 2 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]$$
• C) $$\left[ {\begin{array}{*{20}{c}} \begin{gathered} 3 \hfill \\ 0 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 4 \hfill \\ 2 \hfill \\ 0 \hfill \\ \end{gathered} \end{array}} \right]$$
• D) $$\left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ 1 \hfill \\ 2 \hfill \\ \end{gathered} &\begin{gathered} 1 \hfill \\ 2 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]$$

A rate with a denominator of 1 is called a unit rate.

• A) No
• B) yes
• C)
• D)

The order of a matrix consists of ____________.

• A) Number of Rows × Number of Columns
• B) Number of Columns × Number of Rows
• C) Number of Rows = Number of Columns
• D) Number of Rows + Number of Columns

The formula C * [((1 + i)^n – 1)/i] is used to find the value of……….

• A) Present value of annuity
• B) Amount of annuity
• C) Accumulation factor
• D) Future value of the annuity