\({\text{If }}i = 5\% {\text{ and }}n = 10{\text{, then the accumulation factor AF is equal to __________}}{\text{.}}\)

• A) \(11.58\)
• B) \(12.85\)
• C) \(11.85\)
• D) \(12.58\)

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

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

If A = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 2 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ - 1 \hfill \\ \end{gathered} \end{array}} \right] and k=-3 then kA will be _________.

• A) \left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ - 3 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ - 6 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 3 \hfill \\ \end{gathered} \end{array}} \right]
• B) \left[ {\begin{array}{*{20}{c}} \begin{gathered} 6 \hfill \\ 1 \hfill \\ \end{gathered} &\begin{gathered} 6 \hfill \\ 2 \hfill \\ \end{gathered} &\begin{gathered} 6 \hfill \\ - 1 \hfill \\ \end{gathered} \end{array}} \right]
• C) \left[ {\begin{array}{*{20}{c}} \begin{gathered} - 6 \hfill \\ - 3 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ - 6 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ 3 \hfill \\ \end{gathered} \end{array}} \right]
• D) \left[ {\begin{array}{*{20}{c}} \begin{gathered} - 6 \hfill \\ - 3 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ - 6 \hfill \\ \end{gathered} &\begin{gathered} - 6 \hfill \\ - 3 \hfill \\ \end{gathered} \end{array}} \right]

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

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

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

{\rm{If}}\,{\rm{ }}\,X = \left[ {\begin{array}{*{20}{c}} 5\\ { - 3} \end{array}} \right]{\rm{ and }}\,Y = \left[ {\begin{array}{*{20}{c}} 9&{11} \end{array}} \right]{\rm{ then}}\,\;XY = \_\_\_\_\_\_\_\_\_\_.

• A) \left[ {\begin{array}{*{20}{c}} {14}&8 \end{array}} \right]
• B) \left[ {\begin{array}{*{20}{c}} {45}\\ { - 33} \end{array}} \right]
• C) \left[ {\,12\,} \right]
• D) \left[ {\,78\,} \right]

If {A^{ - 1}} is the multiplicative inverse of A then their product will be equal to _________.

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

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 = ____________.

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

{\text{The }}\,\,{\text{algebraic }}\,\,{\text{expression}},\,\,{x^2} + xy - 6{y^2}{\text{, }}\,\,{\text{is }}\,\,{\text{an }}\,\,{\text{example }}\,\,{\text{of}}\,\,\_\_\_\_\_\_\_\_.

• A) {\text{Both Binomial and polynomial}}
• B) {\text{Binomial}}
• C) {\text{Trinomial}}
• D) {\text{Both trinomial and polynomial}}

{\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]