{\text{If}}\,\frac{8}{9} = \frac{y}{{108}},\,\,{\text{then}}\,y = \_\_\_\_\_\_\_\_\_\_\_\_\_.\,

• A) 81
• B) 96
• C) 72
• D) 144

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

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

Two matrices A and B are said to be confirmable for subtraction if __________.

• A) they have the same number of rows and columns
• B) they have different dimensions
• C) they have the same number of rows
• D) they have the same number of columns

If $I$ is an identity matrix of order $ 2×2$ and $A$ is any other real matrix of order $ 2×2$, then the product of matrix $A$ and $I$ will be equal to __________.

• A) $A{A^{ - 1}} = O$
• B) $AI = {A^2}$
• C) $AI = A$
• D) $AI = I$

{\text{If}}\,P = {\text{Rs}}{\text{.}}\,\,500,T = 4\,{\text{years and }}R = 11\% \,{\text{ then}}\,{\text{the simple interest is }}\_\_\_\_\_\_\_\_\_\_\_\_\_.

• A) {\text{Rs}}{\text{. }}220
• B) {\text{Rs}}{\text{. }}200
• C) {\text{Rs}}{\text{. }}330
• D) {\text{Rs}}{\text{. }}320

{\rm{The \,addition \,of\, }}A = \left[ {\begin{array}{*{20}{c}} { - 7}&{16}\\ 9&{ - 21} \end{array}} \right]\;{\rm{and\,\, }}B = \left[ {\begin{array}{*{20}{c}} {10}&{ - 22}\\ { - 9}&{21} \end{array}} \right]{\rm{ is\, \_\_\_\_\_\_\_\_\_\_}}{\rm{.}}

• A) \left[ {\begin{array}{*{20}{c}} { - 13}&{ - 38}\\ {18}&{42} \end{array}} \right]
• B) \left[ {\begin{array}{*{20}{c}} { - 70}&{ - 352}\\ { - 81}&{ - 441} \end{array}} \right]
• C) \left[ {\begin{array}{*{20}{c}} 3&{ - 6}\\ 0&0 \end{array}} \right]\;
• D) \left[ {\begin{array}{*{20}{c}} { - 3}&6\\ 0&0 \end{array}} \right]

Two matrices A and B are said to be confirmable for addition if __________.

• A) they have the same number of rows and columns
• B) they have the same number of columns
• C) they have different dimensions
• D) they have the same number of rows

{\text{If }}2:x = 3:9\,{\text{ then}}\,\,x = \_\_\_\_\_\_\_\_\_\_\_\_\_.\,

• A) 3
• B) 12
• C) 9
• D) 6

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

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

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

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

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 \\ 0 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 4 \hfill \\ 2 \hfill \\ 0 \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 \\ 1 \hfill \\ 1 \hfill \\ \end{gathered} \end{array}} \right]
• C) \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]
• 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]

The matrix A = \left[ {\begin{array}{*{20}{c}} 1&2&3 \end{array}} \right] is a _________ matrix.

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

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

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

\({\text{Is }}\,\,\frac{{\text{2}}} {4}\,\,{\text{proportional to }}\frac{{\text{3}}} {{15}}? \)

• A) No
• B) Yes
• C)
• D)

\[ \begin{array}{l} Dimension\,\,of\,\,matrix\,\,A\,\,is\,\,3*3\,\,\,and\,\,Dimension\,\,of\,\,matrix\,\,B\,\,is\,\,3*2\,\,\,. \\\ Find\,\,the\,\,Dimension\,\,of\,\,AB\,\,\, = \,\,\,\,\, - - - - - . \\\ \end{array} \]

• A) \[ 3*3 \]
• B) \[ 2*2 \]
• C) \[ 3*2 \]
• D) \[ None\,\,of\,\,these \]

\({\rm{The \,addition \,of\, }}A = \left[ {\begin{array}{*{20}{c}} { - 7}&{16}\\ 9&{ - 21} \end{array}} \right]\;{\rm{and\,\, }}B = \left[ {\begin{array}{*{20}{c}} {10}&{ - 22}\\ { - 9}&{21} \end{array}} \right]{\rm{ is\, \_\_\_\_\_\_\_\_\_\_}}{\rm{.}}\)

• A) \(\left[ {\begin{array}{*{20}{c}} { - 13}&{ - 38}\\ {18}&{42} \end{array}} \right]\)
• B) \(\left[ {\begin{array}{*{20}{c}} { - 70}&{ - 352}\\ { - 81}&{ - 441} \end{array}} \right]\)
• C) \(\left[ {\begin{array}{*{20}{c}} 3&{ - 6}\\ 0&0 \end{array}} \right]\;\)
• D) \(\left[ {\begin{array}{*{20}{c}} { - 3}&6\\ 0&0 \end{array}} \right]\)

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

\begin{array}{l} A\,\,\,{\rm{chartered bank is increasing the interest rate on its loans from 7\% to 9\% }} \\\ {\rm{What will be the percent increase in the interest rate on a given balance?}} \\\ \end{array}

• A) 28.57\%
• B) - 22.2\%
• C) 22.2\%
• D) None\,\,of\,\,these

\[ \begin{array}{l} A\,\,\,{\rm{chartered bank is increasing the interest rate on its loans from 7\% to 9\% }} \\\ {\rm{What will be the percent increase in the interest rate on a given balance?}} \\\ \end{array} \]

• A) \[ None\,\,of\,\,these \]
• B) \[ 22.2\% \]
• C) \[ 28.57\% \]
• D) \[ - 22.2\% \]

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

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