TMA (FMS101) MTH105:MATHEMATICS MANAGEMENT SCIENCES I

MTH105 TMA Solution Question and Answer

 (FMS101) MTH105:MATHEMATICS MANAGEMENT SCIENCES I

Q1 Calculate the distance between the points: A(0,1) and B(6,9)
 5
 7
 10
 14
Q2 Find the magnitude of the vector: \[5i-12j\]
 17
 7
 -7
 13

Q3 The addition of two vectors is defined by the
 spherical rule
 pythagoras rule
 triangular rule
 resultant rule

Q4 The absolute value of a vector is
 that negative number which is a measure of the length of the segment
 that positive number which is a measure of the length of the direction
 that number which measures the angle of the segment
 that positive number which is a measure of the length of the directed segment

Q5 A vector, PQ drawn from a fixed point P which gives the displacement of the point Q from the point P is called ……..
 End Vector
 Displacement Vector
 DrawingVector
 Position Vector

Q6 The inverse of a matrix A is given by
 \[A^{-1}=\frac{1}{|A|} A\]
 \[A=\frac{1}{A}Adj A^{-1}\]
 \[|A|=\frac{1}{A}Adj A\]
 \[A^{-1}=\frac{1}{|A|}Adj A\]

Q7 Quantity having magnitude only but no direction is called
 matrix
 scalar
 vector
 position

Q8 A physical quantity having magnitude and direction is known as
 matrix
 scalar
 vector
 position

Q9 For what value of k would the matrix \[\begin{bmatrix}2k+1&5\\4&6\end{bmatrix}\] be singular?
 2
 -3
 -1
 22

Q10 Let \[A=\begin{bmatrix}1&4\\3&1\end{bmatrix}\] and \[B=\begin{bmatrix}3&1\\2&k\end{bmatrix}\] Given that |AB| =121, find the value of k
 2
 -3
 -1
 22

Q11 Let\[A=\begin{bmatrix}1&4\\3&1\end{bmatrix} \] and \[B=\begin{bmatrix}3&1\\2&k\end{bmatrix}\] evaluate |AB|
 22
 \[\begin{bmatrix}11&1+4k\\11&3+k\end{bmatrix}\]
 \[\begin{bmatrix}3&4\\6&k\end{bmatrix}\]
 22-33k

Q12 What is the cofactor of element '-2' in \[\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}\]
 4
 10
 13
 -15

Q13 What is the cofactor of element '-3' in \[\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}\]
 4
 2
 -3
 0

Q14 Let \[A=\begin{bmatrix}x&2&b\\2&3&4\\b&4&y\end{bmatrix}\], then A is ……..
 upper triangular matrix
 Symmetric matric
 Transpose of A
 diagonal matrix

Q15 Find the determinant of \[\begin{bmatrix}3&2&1\\-2&5&0\\3&-1&4\end{bmatrix}\]
 31
 63
 16
 27

Q16 If the inverse of matrix B exists, then it is …………
 united
 universal
 unique
 none of the options

Q17 The transpose of the cofactor matrix of a square matrix B is called the…………. of B
 adjudged
 adjunct
 adjoint
 adjacent

Q18 Determinant is a number associated with ……….. Matrices
 spherical
 triangular
 square
 rectangular

Q19 A square matrix is called …….... if all the elements above the main diagonal vanish
 upper triangular
 lower triangular
 vanisher
 square diagonal

Q20 Two matrices A and B are said to be conformable for multiplication if
 the number of columns of A is same as the number of rows in B
 the number of rows in A is same as the number of columns in B
 matrices A and B have same dimension
 matrices A and B have different orders

Q21 Two matrices are said to be equal
 if alternate elements are the
 equal if their corresponding elements are the same
 if corresponding elements in the rows are the same
 if corresponding column elements are the same

Q22 Any matrix of dimension (m x n) with all its elements equal to zero is called …….. Matrix
 Null
 Zero
 Void
 all of the options

Q23 A matrix same as its transpose is
 synthesis
 synthetic
 symbolic
 symmetric

Q24 A diagonal matrix having all its diagonal element as one (1) is
 identify
 identity
 ideology
 None of the options

Q25 A matrix having the same number of rows and columns is referred to as …….. Matrix
 straight
 symmetric
 square
 singular

Q26 A rectangular array of numbers with reference to specific rules governing the array is known as
 Methodology
 Matrix
 Model
 Mathematical arrangement

Q27 The number of rows and the number of columns of a matrix determine its ………
 dimension
 size
 order
 all of the options

Q28 One of the following has truth value 'False"
 Ijebu-Ode is in Ogun State if and only if 4 + 3 =7
 Ijebu-Ode is in Ogun State if and only if 4+3 = 6
 If Ijebu-Ode is in Ogun State then 4 + 3 =7
 Ijebu-Ode is the capital of Oyo State if and only if 4+3 =7

Q29 One of the following is not a connective in Logic
 Conjunction
 Disjointion
 Negation
 Bi – implication

Q30 The True value of Bi-conditional statement would be true
 if one of the two statements has Truth Value 'true'
 if one of the two statements has Truth Value 'false'
 if the two statements have the same Truth Value
 if the two statements have opposite Truth Value

Q31 Let p and q be two simple statements , then the following are conditional statements except
 p is sufficient for q
 p only if q
 If p then q
 p if and only if q

Q32 All but one of the statements have truth value true
 Ibadan is the capital of Oyo State or 4+3 =7
 Ibadan is the capital of Oyo State or 4 + 3 = 6
 Ibadan is the capital of Ogun State or 4+3 =7
 Ibadan is the capital of Oyo State and 4 + 3 = 7

Q33 ………. statement is the use of connectives to combine two or more simple statements to form just one
 Composite
 Combinatoral
 Connectives
 Concord

Q34 ………… occurs when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement
 Conclusion
 Negation
 Argument
 Tautology

Q35 Expressions, phrases or symbols that are made used of, to join two or more simple statements together in order to form a compound statement are called ……
 Contradictions
 Connectives
 Supports
 Divider

Q36 A declarative sentences or an expression of words which are either true or false, but cannot be both is called
 Proposal
 Proposition
 Connectives
 Composite

Q37 One of these does not explain the objectives of logical reasoning
 It could be used to decode equivalent only
 It could be used to analyze a statement
 It could be used to ascertain or analyze complicated business argument
 It could be used to form composite statements from simple ones using logical connectives

Q38 The Truth value of the statement 'Ijebu-Ode is in Lagos State' is …..
 Truth Value
 Logic
 True
 False

Q39 The study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition is known as ………
 Truth Value
 Logic
 True
 False

Q40 ………….. can be used to depict or analyze the Truth Value of any mathematical statement
 Mathematical
 Logic
 False Value

 Truth Value Table

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