The ratio of boys to girls in the Drama club is 4:7. What is the ratio of girls to the total number of students in the Drama Club?

• A) 7/11
• B) 7/4
• C) 4/7
• D) 4/11

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

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

The matrix $A = \left[ {\begin{array}{*{20}{c}} 1 \\ 5 \\ {10} \end{array}} \right]$ is a _________ matrix.

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

A matrix with one column is called a _________ matrix

• A) square
• B) row
• C) scalar
• D) column

Accumulated value = ----------- * Accumulation factor for n payments

• A) Discounted or present worth of an annuity
• B) Payment per period
• C) Amount of annuity
• D) Interest rate per conversion period

Two matrices are equal if they are of the _________ order and all corresponding entries are __________.

• A) same, not equal
• B) different, equal
• C) same, equal
• D) different, not equal

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

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

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

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

Consider W/X= Y/Z, the values in the W and Z positions are called the ___________ of the proportion.

• A) extremes
• B) means
• C)
• D)

${\rm{If}}\,{\rm{ }}A = \left[ {\begin{array}{*{20}{c}} 2\\ 3\\ 0 \end{array}} \right]{\rm{ and }}B = \left[ {\begin{array}{*{20}{c}} { - 1}&0&6 \end{array}} \right]{\rm{ then}}\;AB = \_\_\_\_\_\_\_\_\_\_.$

• A) $\left[ {\,7\,} \right]$
• B) $\left[ {\begin{array}{*{20}{c}} 1\\ 3\\ 6 \end{array}} \right]$
• C) $\left[ { - 2 } \right]$
• D) $\left[ {\begin{array}{*{20}{c}} 1&3&6 \end{array}} \right]$

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

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

If A and B are 3 x 2, then A - B is

• A) 2 x 2
• B) not possible
• C) 3 x 2
• D) 2 x 3

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

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

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

• A) $11.85$
• B) $12.58$
• C) $11.58$
• D) $12.85$

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

• A) $12$
• B) $3$
• C) $9$
• D) $6$

If A and B are 3 x 2 matrices.
Then A x B_______________ .

• A) will not be possible
• B) will be of 2 x 3
• C) will be of 3 x 3
• D) will be of 3 x 2

If a matrix A has n rows and n columns then we say it's a _________ matrix.

• A) scalar
• B) rectangle
• C) square
• D) diagonal

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

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

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

A matrix with dimension $n×m$, is said to be a square matrix if ________.

• A) $$n \ne m$$
• B) $$n=m$$
• C) $$n > m$$
• D) $$n < m$$