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

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

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 $B = \left[ {\begin{array}{*{20}{c}} 1 \\ 1 \\ 1 \end{array}} \right]$ then the matrix $AB$ wil be ______________.

• A) $\left[ 2 \right]$
• B) $\left[ {\begin{array}{*{20}{c}} 6 \\ 0 \end{array}} \right]$
• C) \[\left[ {\begin{array}{*{20}{c}} 2&2&2 \end{array}} \right]\]
• D) $\left[ {\begin{array}{*{20}{c}} \begin{gathered} 2 \hfill \\ 0 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 0 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 0 \hfill \\ \end{gathered} \end{array}} \right]$

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

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

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

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

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

What is the order of the matrix A = \left[ {\begin{array}{*{20}{c}} 1&6 \end{array}} \right]?

• A) 1×1
• B) 1×2
• C) 2×2
• D) 2×1

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

• A) Yes
• B) No
• C)
• D)

Let A be an m×n matrix and k be any scalar, then scalar multiplication of matrix A is obtained by ____________.

• A) substituting the scalar k for each element of matrix A
• B) multiplying each element of matrix A by the scalar k
• C) adding the scalar k to each element of matrix A
• D) dividing each element of matrix A by the scalar k

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

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

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

What is the order of the matrix A = \left[ {\begin{array}{*{20}{c}} \begin{gathered} 1 \hfill \\ 3 \hfill \\ \end{gathered} &\begin{gathered} 2 \hfill \\ 4 \hfill \\ \end{gathered} &\begin{gathered} 1 \hfill \\ 0 \hfill \\ \end{gathered} \end{array}} \right]?

• A) 3×3
• B) 3×2
• C) 2×2
• D) 2×3

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

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

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

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

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

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

• A) \(12\)
• B) \(3\)
• C) \(6\)
• D) \(9\)

{\text{If}}\,\sum {fX} = 340\,\,{\text{and}}\,\,\,\sum f = 20\,\,\,{\text{then}}\,\,\bar X = \_\_\_\_\_\_\_\_\_\_.

• A) 17
• B) 360
• C) 7800
• D) 320

{\text{If}}\,\,\,{\sum {{W_i}X} _i} = 4900\,\,\,{\text{and}}\,\,\,\sum {{W_i}} = 70\,\,\,\,{\text{then}}\,\,\,{{\bar X}_w} = \_\_\_\_\_\_\_\_\_\_.

• A) 70
• B) 5060
• C) 343000
• D) 5830

\({\text{If}}\,\,\,{\sum {{W_i}X} _i} = 4900\,\,\,{\text{and}}\,\,\,\sum {{W_i}} = 70\,\,\,\,{\text{then}}\,\,\,{{\bar X}_w} = \_\_\_\_\_\_\_\_\_\_.\)

• A) 343000
• B) 70
• C) 5060
• D) 5830

\({\text{In}}\,{\text{the}}\,{\text{given}}\,{\text{formula}}\,{\text{ }}\hat X = l + \frac{{{f_m} - {f_1}}}{{({f_m} - {f_1}) + ({f_m} - {f_2})}} \times h,{\text{ }}{f_2} = \_\_\_\_\_\_\_\_\_\_.\)

• A) frequency of the modal class
• B) frequency of the class following the modal class
• C) frequency of the class preceding the modal class
• D) cumulative frequency

\({\text{If}}\,\,\sum {wx = 2700\,\,{\text{and}}\,\,\sum {w\, = \,300\,\,{\text{then}}\,\,{\text{the}}\,\,{\text{weighted}}\,\,{\text{mean}}\,\,\_\_\_\_\_\_\_\_\_.} \,\,\,} \)

• A) 11
• B) 6
• C) 9
• D) 5