The default category for questions shared in context 'MTH105'.
Multiple Choice Questions (MCQs)
MCQ1
Given these propositions
I. Garri is from yam and 8+1= 6
II. Garri is from maize and 2+4= 8
III. Garri from cassava and 3+4= 9
IV. Garri is from cassava and 4+5=9
The only proposition is
i
0.0000000
ii
0.0000000
iii
0.0000000
iv
1.0000000
MCQ2
Given that p ? q this means the symbols speak about
Conjunction p ? q
1.0000000
Disjunction p ? q
0.0000000
Conjunction p v q
0.0000000
Disjunction p/q
0.0000000
MCQ3
If P is a given negation, its negation is ____
? p
0.0000000
v p
0.0000000
~ p
1.0000000
/ p
0.0000000
MCQ4
Conditional statement is of the form if P then Q. then the symbolical representation is
p ? q
0.0000000
p ΰ q
1.0000000
p v q
0.0000000
p ~ q
0.0000000
MCQ5
Bi-conditional statement can be symbolically represented as ___
p ? q
0.0000000
p ΰ q
0.0000000
p σ q
1.0000000
p v q
0.0000000
MCQ6
Given that (p v q)v r = p v (q v r)
Commutative
0.0000000
Idempotent
0.0000000
Associative
1.0000000
Distributive
0.0000000
MCQ7
If p v (q ? r) = (p v q) ? (p v r) then it is a(an) ____
Identity
0.0000000
Commutative
0.0000000
Distributive
1.0000000
Associative
0.0000000
MCQ8
If A= 200050001 then A is matrix
Square
0.0000000
Diagonal
1.0000000
Transpose
0.0000000
Symmetric
0.0000000
MCQ9
Given A= 123242 and B= 104213find A+B
104212
0.0000000
126453
0.0000000
227455
1.0000000
217545
0.0000000
MCQ10
If A= 213312 and B= 212122 then 2A+B=
428433
0.0000000
638746
1.0000000
637556
0.0000000
638756
0.0000000
MCQ11
Given that A= 123457 and B= 124365 find AB
27236658
1.0000000
23662758
0.0000000
66582327
0.0000000
23276658
0.0000000
MCQ12
Find the determinant of A= 4365
20
0.0000000
18
0.0000000
5
0.0000000
2
1.0000000
MCQ13
Find the determinant of 12-47
15
1.0000000
12
0.0000000
9
0.0000000
6
0.0000000
MCQ14
Find det X, given that X= 123321411
15
0.0000000
12
0.0000000
-12
1.0000000
-15
0.0000000
MCQ15
Given that 32X1 is a singular matrix, find X.
21/2
0.0000000
11/2
1.0000000
1
0.0000000
½
0.0000000
MCQ16
Given that M= 221+62-X213 find X, for M to be singular
21/2
0.0000000
31/2
0.0000000
41/2
0.0000000
51/2
1.0000000
MCQ17
Solve for x and y in x+3y=4 and 3x+4y=6
2/5,6/5
1.0000000
6/5,2/5
0.0000000
-6/5,2/5
0.0000000
6/5,-2/5
0.0000000
MCQ18
Given that co-factor matrix M= 16-12-4-5-33-12-3find the Adj M
16-5-5-12-312-43-3
1.0000000
16-12-5-12-312-412-3
0.0000000
16-5-5-1212-3-43-3
0.0000000
16-3-5-121212-4-12-3
0.0000000
MCQ19
Find the magnitude of 3i 4j
3
0.0000000
4
0.0000000
5
1.0000000
7
0.0000000
MCQ20
Let x, y, z be the heights assigned to A, B, C such that x+2y+3z= 11, 2x+4y+5z= 21 and x+2y+3z= 11
x= 2, y=3, z=2
0.0000000
x=2, y=-3, z=1
0.0000000
x=2, y=3, z=1
1.0000000
x=2, y=3, z=-2
0.0000000
MCQ21
Find the unit vector in the direction of the vector 4i - 3j
1/5(4i 3j)
1.0000000
1/5(4i + 3j)
0.0000000
1/5(3i 4j)
0.0000000
1/5(3i + 4j)
0.0000000
MCQ22
If Z1= 3+i and Z2= 4+3i, find Z1+Z2
12+3i
0.0000000
7+4i
1.0000000
123i
0.0000000
74i
0.0000000
MCQ23
Given that Z1= 32i and Z2= 5+3i, find Z1 Z2
2+4i
0.0000000
24i
0.0000000
2+4i
0.0000000
-24i
1.0000000
MCQ24
If Z1= 22i and Z2= 53i, find Z1/ z2
.(2-2i)(5+3i)34
1.0000000
(2-2i)(5-3i)34
0.0000000
(2+2i)(5+3i)34
0.0000000
(2+2i)(5-3i)34
0.0000000
MCQ25
Find the distance between A (5, -3) and B (-1, 3)
-63
0.0000000
-62
0.0000000
63
0.0000000
62
1.0000000
MCQ26
Find the angle of inclination if A (2, -3) and B (4, 5)
90o
0.0000000
60o
0.0000000
45o
1.0000000
30o
0.0000000
MCQ27
Find the distance between A (0, 1) and B (9, 6)
104
0.0000000
105
0.0000000
106
1.0000000
107
0.0000000
MCQ28
Find the distance between A (6, 3) and (6, 9)
8
0.0000000
6
1.0000000
4
0.0000000
2
0.0000000
MCQ29
Find the gradient of the straight line A (-2, 0) and B (6, -4)
2/3
0.0000000
3/2
0.0000000
1/2
1.0000000
2/2
0.0000000
MCQ30
Find the distance between A (6, 9) and B (11, 15)
36
0.0000000
25
0.0000000
61
1.0000000
51
0.0000000
MCQ31
Find the equation of a line with A (2, 3) and B (6, 8)
5x+4y= -2
0.0000000
5x-4y= -2
1.0000000
5x+4y= 2
0.0000000
5x-4y= 2
0.0000000
MCQ32
Find the equation of a line, which passes through the points A (0, 3) and (6, 0)
x+2y= 6
0.0000000
x-2y= 6
0.0000000
y-2x= 6
0.0000000
y+2x= 6
1.0000000
MCQ33
Find the coordinate of the point of intercept of the equations 2x+3y= 5 and x+2y= 3.
1, 1
1.0000000
1, -1
0.0000000
-1, 1
0.0000000
-1, -1
0.0000000
MCQ34
Find the gradients of these equations x+y= 5 and x+2y= 6 respectively
-1 and -1/2
1.0000000
1 and 1/2
0.0000000
-1 and 1/2
0.0000000
1 and -1/2
0.0000000
MCQ35
Find the coordinate of the meeting points of equations x+y= 3 and x+2y= 5
-1, -2
0.0000000
1, -1
0.0000000
-1, 2
0.0000000
1, 2
1.0000000
MCQ36
Find the equation of a line that is perpendicular to 2x+5y= 10
5x-2y=4
0.0000000
5x-2y= -4
1.0000000
2x-5y= -10
0.0000000
2x+5y =10
0.0000000
MCQ37
Given that two (2) lines with gradients M1 and M2 are parallel, then_____
M1 ? M2
0.0000000
M1 < M2
0.0000000
M2 < M1
0.0000000
M1 = M2
1.0000000
MCQ38
Find the equation of the line which is parallel to 3x+2y= 5 and passes through the point (3, -6).
3x+2y= 3
0.0000000
3y+2x= 3
0.0000000
3x+2y= -3
1.0000000
3y+2x= -3
0.0000000
MCQ39
Find the equation of the line which is perpendicular to 2x+3y= 6 and passes through the point (2, -4)
2x3y= 8
0.0000000
2x+3y= -8
1.0000000
2x3y= -8
0.0000000
2x+3y= 8
0.0000000
MCQ40
Given x2+y224x10+60= 0, find the coordinate of the centre.
12, 5
1.0000000
5, 12
0.0000000
-12, -5
0.0000000
-5, -12
0.0000000
MCQ41
Find the coordinate of the centre and radius of circle of the equation x2+y224x6y+86= 0
(-12, -3), r= 7
0.0000000
(12, -3), r= 7
0.0000000
(12, 3), r= 7
1.0000000
(-12, 3), r= 7
0.0000000
MCQ42
Given that nth term of a Sequence 4, 6, 8
.is an = a + (n-1) d, find the 7th term
10
0.0000000
12
0.0000000
14
0.0000000
16
1.0000000
MCQ43
Given the two (2) sequences 1, 3, 5
..and 2, 4, 6
..the 8th terms of the two (2) sequences are
..
11 and 12
0.0000000
13 and 14
0.0000000
15 and 16
1.0000000
17 and 18
0.0000000
MCQ44
Find the 16th term of an A.P whose first term is 102 and common difference -3.
37
0.0000000
47
0.0000000
57
1.0000000
67
0.0000000
MCQ45
The 4th and 9th terms of an A.P are 10 and 20 respectively; find the first term and the common difference.
4, 2
1.0000000
4, 3
0.0000000
4, 5
0.0000000
4, 7
0.0000000
MCQ46
Find the common ratio of the following 6, 18, 54
2
0.0000000
3
1.0000000
4
0.0000000
5
0.0000000
MCQ47
Find the common ratio of 1/32, 1/16, 1/8
4
0.0000000
2
1.0000000
1/2
0.0000000
1/4
0.0000000
MCQ48
Find the limit of 5xx+1as X ΰ 8
0
0.0000000
1
0.0000000
5
1.0000000
6
0.0000000
MCQ49
The derivative of 5x3+3x+2/x
15x2+3+2/x2
0.0000000
15x2-3+2/x2
0.0000000
15x2+3-2/x2
1.0000000
15x2-3-2/x2
0.0000000
MCQ50
If y=sin-1x, find dy/dx
1/1-x2
0.0000000
1/1+x2
0.0000000
1/1-x2
1.0000000
1/1+x2
0.0000000
Fill in the Blank (FBQs)
FBQ1
A matrix, which has the same number of rows and columns is called _____
square matrix
1.0000000
0.0000000
FBQ2
___ is a matrix in which all its diagonal elements are one
identify matrix
1.0000000
FBQ3
The disjunction of X and Y is denoted by ____
X V Y
1.0000000
0.0000000
FBQ4
____ is the conjunction of X and Y
(X ^ Y)
1.0000000
0.0000000
FBQ5
The statement of the form m If and only If n or m If n is denoted by ___
m <-> n
1.0000000
FBQ6
Let a be she is tall and b be she is nice. The state in symbolic is written as ___
(a ^ b)
1.0000000
FBQ7
Let a be she is fair or b be she is beautiful. The statement in symbolic form is
( a ? b)
1.0000000
FBQ8
If p is she is tall and q is she is beautiful. The statement that she is tall or short and beautiful can be symbolically represented as ____
(p ? (~ p ^ q))
1.0000000
0.0000000
FBQ9
If p and q stand for he is tall and handsome respectively, then (~ p ^ - q) is ___ ?
He is neither tall nor handsome
1.0000000
0.0000000
FBQ10
The equilibrium prices and quantities for two commodity market models Xdj = -2 p + q and Xsi = -2 q is ___
(2, 4)
1.0000000
FBQ11
The equation of the line passing through the points A (2,3) and B (4, 6) is ___?
2y = 3x
1.0000000
FBQ12
____ is defined to be the matrix obtained by replacing every number aij of the given matrix A by its cofactor in the determinant of A.
cofactor
1.0000000
FBQ13
Given that A = 1425 , the determinant of A is ___
-3
1.0000000
0.0000000
FBQ14
The determinant of A2 2A is ___, Given that A = 1221
15
1.0000000
FBQ15
If A = 200010203 it is called _____?
diagonal matrix
1.0000000
FBQ16
The determent of 1-11-223-121 is
-3
1.0000000
FBQ17
The conditional statement of the form if a then b is ___
(a->b)
1.0000000
FBQ18
____ are the vectors with the same magnitude and directions.
equal vectors
1.0000000
FBQ19
Equal directions and magnitude means the vectors are ____
Parallel
1.0000000
0.0000000
FBQ20
If three or more points lie on a straight line, they are said to be __
Collinear
1.0000000
FBQ21
The modulus |.a| is the same thing as ____
Magnitude
1.0000000
FBQ22
A complex variable Z is of the form a + bi where a and b are called ____
real number
1.0000000
0.0000000
FBQ23
In a complex variable Z of the form a + bi, i is called ___
imaginary number
1.0000000
FBQ24
Two or more complex numbers Z1, Z2 and Z3
are said to be equal if their ___ are equal
real parts
1.0000000
FBQ25
Given that a complex number Z= a+ bi, then its conjugate is written as ___
Z = a bi
1.0000000
a-bi
1.0000000
FBQ26
If Zn = rn (cos ? + I sin ? ) = r (cos ? + I sin ?)n, it is called ____
De Moivres Theorem
1.0000000
FBQ27
The slope is the same thing as ___ of the line with x-axis
tangent of an angle inclination
1.0000000
FBQ28
The gradient of a line is the same as the ___ of that line,, usually denoted by m.
Slope
1.0000000
0.0000000
FBQ29
The gradient or slope of any line can be determined by the ____ in y and/over that of x.
rate of change
1.0000000
0.0000000
FBQ30
The equation of a straight line y mx c = 0 has ___ and ___ as slope and the intercept on the y-axis.
m and c
1.0000000
FBQ31
The equation of a line that passes through the origin is ____
y = mx
1.0000000
FBQ32
The equation of a line given one point and the slope is generally written as ___
y-y1 = m (x-x1)
1.0000000
FBQ33
___ is the locus of curve equidistant from a point.
Circle
1.0000000
FBQ34
Differentiation is the inverse process of ___
Integration
1.0000000
FBQ35
If the value of turning point in ____ is negative then it is a maximum point.
second derivative
1.0000000
FBQ36
If the value of the turning point in the second derivation is positive, then it is a ____
minimum point
1.0000000
FBQ37
__ is the point at which curve is neither a maximum nor minimum.
point of inflexion
1.0000000
FBQ38
At point of inflexion, the turning points are equal and can be referred to as ___
double stationary points
1.0000000
FBQ39
At the point of inflexion, the value of the stationary point at the second derivation is ___
Zero
1.0000000
FBQ40
If a die is rolled, the probability of getting odd and prime number is___
14
1.0000000
FBQ41
___ is the amount by which a resource is underutilized in optimization model.
Slack
1.0000000
0.0000000
FBQ42
Comparing straight line equations with business that is demand function, we have y = mx + c and q = mp + c, where y=q stands for ___
function of goods demanded
1.0000000
FBQ43
Comparing straight line equations with business that is demand function, we have y = mx + c and q = mp + c, where mx = mp then m stands for
gradient of x and p respectively
1.0000000
* coefficient of x and p respectively*
1.0000000
FBQ44
Comparing straight line equations with business that is demand function, we have y = mx + c and q = mp + c, where mx = mp then x and p stand for ___
variable price of the goods demanded
1.0000000
FBQ45
The equation of a line with two points and the slope is ___
m = y2-y1/x2-x1 = y-y1/x-x1
1.0000000
m = y1-y2/x2-x1 = y-y2/x-x2
1.0000000
FBQ46
Give that AB-=-BA- are vectors of the same magnitude but in _____ direction.
Opposite
1.0000000
FBQ47
If AB-=1, then AB- and it is called a ___ vector
Unit
1.0000000
FBQ48
Given AB-=-BA- are vectors of the ___ magnitude but in opposite direction.
same
1.0000000
FBQ49
a-is equal to a If a is less than ___
Zero
1.0000000
0
1.0000000
FBQ50
a- is equal to a If a is greater than ___
Zero
1.0000000
0
1.0000000Zero*
1.0000000
0
1.0000000