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

• 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

What term is used to refer to the midpoint of each class in a frequency distribution?

• A) Class interval
• B) Class boundary
• C) Class mark
• D) Class median

If for a given problem, the domain of a variable contains only one value, then the variable is referred to as a __________.

• A) continuous
• B) constant
• C) qualitative
• D) ordinal

How is the arithmetic mean calculated?

• A) By finding the value with the highest frequency
• B) By finding the difference between the highest and lowest values
• C) By adding up all values and dividing by the total count
• D) By finding the middle value in a sorted dataset

If no. of students from category A=719 and from category B=481 and total no. of students is 1200 then percentage of students of Category A =……

• A) (719+1200)/100
• B) (719-1200)/100
• C) (481/1200)*100
• D) (719/1200)*100

The mode of the data 2.7, 3.5, 4.9, 5.1, 8.3 is....

• A) 5.1
• B) 3.5
• C) there is no mode for this data
• D) 4.9

The given set of all possible values from which a variable take on a value is called its........

• A) Data
• B) None of these
• C) Range
• D) Domain

A simple bar graph consists of _____________ bars of equal width and lengths proportional to values they represent.

• A) (III) slant
• B) (IV) Both (I) or (II).
• C) (I) horizontal
• D) (II) vertical

The most frequent value in the data is called………..

• A) midrange
• B) median
• C) mean
• D) mode

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

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

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

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

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

• 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}}