MCQ1: Let A consist of numbers 1, 3, 5, 7, 11, 13 and 17. Then, the set can be written as A =
Answer: 1,3,5,13,17
MCQ2: Let B=x|x2<20 the number of elements in B is ………….
Answer: 2
MCQ3: Let Cx|x is all prime numbers less than 20<
Answer: 6
MCQ4: Let D=x|4≤x<9. Find n(D).
Answer: 5
MCQ5: Let E=x|0<x≤1. The number of element in E is………
Answer: 2
MCQ6: Given that F=x|x is a letter in the word 'state'</mfenced&g
Answer: 5
MCQ7: Given that A=1,2,3,5,7,11 and B=2,3,7,11. Find nA∪B.
Answer: 1
MCQ8: Given that B=x|x is the odd numbers less than 10 and &
Answer: 10
MCQ9: Given that F=x|x-3x+2=0, G =1,2,2,1. H =1,2. Find n<
Answer: 4
MCQ10: Given that L=3,4,5 and M=5,3,4. Then, η(L∪M)= n(L∩M)
Answer: 3
MCQ11: Let L=1,2 and let M=1,2,3. From the question which one is correct?
Answer: L is not comparable to M
MCQ12: If M is a subset of N and N is a subset of P, then, M is a subset of P that is ..
Answer: MCN and MCP implies MCN
MCQ13: Let P=a,b,c,d. Find the number of subset of P.
Answer: 4
MCQ14: Let P=1,3,7,8 and Q=2,4,7,9. Find n(P∩Q).
Answer: 8
MCQ15: Let X=2,4,6,9 and Y=1,3,4. Find n(X∩Y).
Answer: 1
MCQ16: IfX=1,x,3,4 and Y=r,s,t, n(X∩Y) is …
Answer: 4
MCQ17: If X⊂Y and X≠Y, then X is a proper subset of ..
Answer: Y
MCQ18: Let E=2,4,6,… and E1={1,3,5,…}, then E∪E1 is a set of ……. numbers
Answer: complex
MCQ19: Given A=1,2,3,4, B=2,3,5, and C=2,4,6, find A<mo&g
Answer: 1,2,3,4,5,6
MCQ20: If A={2,4,6,8} B=xx-2=0 C=x2≤x<8</
Answer: 5
MCQ21: If X=1,2,3 Y={3,4,5} and Z=xx odd number</mi&
Answer: 1
MCQ22: In the set of real numbers, which of these is true?
Answer: N⊂Z⊂Q⊂R
MCQ23: In geometry, the distance between two points that real numbers, x and y is |x – y| = ….
Answer: |x – y|
MCQ24: Consider x={x|2<x≤7}, this set is described as ……….
Answer: open interval
MCQ25: Given that M={x|3<x<7}, the set has ……..interval.
Answer: closed-open
MCQ26: If B={x|2≤x≤9}, B can be described as ……..interval
Answer: closed-open
MCQ27: A set of the form x={x|x>1} is called a set of …….intervals.
Answer: definite
MCQ28: A set of the form M={x|x≤5} is an infinite set of interval written as M = ?
Answer: -∞, 5
MCQ29: A set M is bounded if there exists a positive number M such that ……… for all X∈M
Answer: X<M
MCQ30: Let fx=x2 where x is a real number and let gx=x2 where x is a complex number. Then, f is not equal to g because they have ……….domains
Answer: different
MCQ31: If f:B⟶D, then f is called a one-one or ……..function.
Answer: subjective
MCQ32: Let f be ‘a’ function of X into Y, and let ‘b’ ϵ Y. Then, the inverse of ‘b’ denoted by f-1(b) therefore,
Answer: f1b={x|xϵX;fx=b}
MCQ33: Let f:A⟶B is one-to-one and onto, then f-1
Answer: A inverse function exists
MCQ34: Let f:R→R be defined by fx=10 then f is a ………..since assigned to every element.
Answer: product
MCQ35: Let the function f:X→Y be one-one and onto or f1:Y→X exist, then f-1∘f1 and f<
Answer: the identity function on X and on Y
MCQ36: If ordered pairs (x+y,1) and (3,x-y) are equal, find x and y
Answer: (3,1)
MCQ37: Find the value of annuity N10000 for a period of 5 years at 5% at the beginning of year 2020.
Answer: N 58019
MCQ38: The final value of a 10 year annuity due with nominal annual interest rate 9% and monthly payments of N10000.
Answer: N165.60
MCQ39: Find the operating cash flow indicator ratio given that the management of NOUN has free cash flow of N25 billion and the net cash provided expenditure for a particular period stands at N35 billion.
Answer: 71.43%
MCQ40: Financial statements that are cash flow computations can be done by ………… method(s).
Answer: Direct and Indirect
MCQ41: Find the angle between lines 2y = 3x – 8 and y = x.5 + 7.5
Answer: 1350
MCQ42: Given that ∫2 3f(x)dx, find the integral calculus
Answer: 52
MCQ43: Find ∫15x2dx
Answer: 4114
MCQ44: If dydx=2x+3, find y.
Answer: A x2+3x+c
MCQ45: Solve the differential equation x2-2x4 at y=0, x=1
Answer: y=1x+35x5+35
MCQ46: Evaluate ∫℮4xdx
Answer: 4℮4x+C
MCQ47: Evaluate ∫dx3-4x
Answer: 4Ln3-4x+C
MCQ48: ∫sin3×dx
Answer: -cosx+cos3x3+c
MCQ49: Solve x-y=10 and x+y=10. Simultaneously
Answer: – 10, 0
MCQ50: Solve x-y=10 and x+y=10. Simultaneously,
Answer: – 10, 0
Fill in the Blank (FBQs):
FBQ1: If A=x|x2=16 then A is the set of x such that x squared equals 16 or …………………………………………………
Answer: A = {4,4}
FBQ2: If B=x|x-2=8 means B is the set of x such that x …………………………………………
Answer: *minus 2 equals 8*
FBQ3: If D=x|x number of Federal universitie</m
Answer: *{6}*
FBQ4: S=x|x number of state capitals in Niger</m
Answer: *36*
FBQ5: Two sets A and B are equal if ……………………….
Answer: *A = B*
FBQ6: The null set ∅ is considered to be ………………………………..
Answer: *Subset of every set*
FBQ7: …………………………….is a subset of itself
Answer: *every set*
FBQ8: Two sets X and Y are ……………………………if X⊂Y or Y⊂X
Answer: *Comparable*
FBQ9: Two sets X and Y are …………………………… if X⊄Y or Y⊄X
Answer: *not comparable*
FBQ10: Given the set 1, 2, 1, 2, {3,4}
Answer: *Family of sets*
FBQ11: Let M=a,1, 2, 3, 4,5, then, M is not family of sets e.g. a, ………………………………………
Answer: *3*
FBQ12: Solve x-y=10 and x+y=10. Simultaneously,
Answer: *10, 0*
FBQ13: Two sets M and N are equal if and only if every element …… and every N belongs to M
Answer: *in M belongs to N*
FBQ14: The union of sets A and B is the set of all elements which belong to
Answer: *A or B or both*
FBQ15: A∪B means ………………………………………
Answer: *A union B*
FBQ16: A∩B means _________ or set of all elements which belong to both A and B only
Answer: *A intersection B*
FBQ17: The set A-B, A∩B, (B-A) are mutually ____________that is intersection of any two sets is the null
Answer: *Disjoint*
FBQ18: …………………are positive integers
Answer: *Natural numbers*
FBQ19: The notation x<10 means that x is a real number which is ______is hence x lies to the left of 10
Answer: *less than 10*
FBQ20: The elements of the set A=x|2<x<7 are …………
Answer: *{3,4,5,6}*
FBQ21: The set of the form A=x|x>1 can be written as…….
Answer: *{2,3,4………}*
FBQ22: A function f of A and B is called ……………. if the same element of b∈B is assigned to every element in A.
Answer: *constant function*
FBQ23: Let f be a function of A and B, and let b∈B, then ___________ is denoted byf1(b)
Answer: *inverse of b*
FBQ24: A series or fixed payments required from you or paid to you at a specified frequency over the course of a fixed time period is called____________
Answer: *Annuities*
FBQ25: A_______ is an annuity for which the payments continue forever.
Answer: *Perpetuity*
FBQ26: ________is the movement of money into or out of a business, project or financial product.
Answer: *cash flow*
FBQ27: A fund into which a company sets aside money overtime, in order to retire its preferred stock, bonds or debentures is called ___________
Answer: *sinking fund*
FBQ28: Interest that is computed on the previously accumulated interest as well as on the principal is called________
Answer: *compound interest*
FBQ29: One of the disadvantages of LP model is that ____are enormous even when assistance of large digital computers is available
Answer: *Computational difficulties*
FBQ30: Two matrices A and B are said to be equal, if they have the ______ and their corresponding entries are equal
Answer: *same dimension*
FBQ31: The set of all possible outcome of a random experiment is called__________ experiment
Answer: *Random*
FBQ32: ____________is an event that will never happen.
Answer: *impossible event*
FBQ33: If in two events, one of them precludes or prevents the occurrence of the other, then, it is called_____________ events
Answer: *mutually exclusive*
FBQ34: One important property of the integers is that they are closed under the operations ……… and ………..
Answer: *multiplication, subtraction*
FBQ35: Rational numbers are closed under the operations addition, subtraction and multiplication but also division except_______
Answer: *Zero*
FBQ36: The irrational numbers are those real numbers which are not rational. True or False
Answer: *True*
FBQ37: The irrational numbers φ are complement of rational numbers R. True or False
Answer: *True*
FBQ38: The notation 3<x<9 means x lies between 3 and 9 on the real line. True or False
Answer: *True*
FBQ39: If f maps A into B, the f is called a one-one or ……………….
Answer: *infective function*
FBQ40: If f maps A onto B, that is if every member of B appears as the image of at least one element of A, then if is onto or …………
Answer: *subjective function*
FBQ41: Let W={days of the week} then W is ……… set
Answer: *Finite*
FBQ42: Let A={a,b} and D={a,c,d}, then sets A and D are not ………. since C∉A and b ∉D
Answer: *Comparable*
FBQ43: The family of all subsets of any set is called ………..
Answer: *power set*
FBQ44: Solve x-y=10 and x+y=10. Simultaneously
Answer: *0, – 10*
FBQ45: The difference of sets M and N denoted by M – N, is the set of elements which belong to M but which do not belong to N. True or False.
Answer: *True*
FBQ46: A function of A onto B is called a ………… if the same element of b∈B is assigned to carry every element in A.
Answer: *constant function*
FBQ47: Let f:x→γ and g:γ→Z be two functions. Then, functions f and g denoted g.f:x→z is called …………………..
Answer: *product function*
FBQ48: An ………………… is the one whose payments are made at the beginning of each period.
Answer: *annuity-due*
FBQ49: A …………. is a contract between you and an issuer whereby you agree to give the issuer principal and in return the issuer guarantees you variable payment over time.
Answer: *variable annuity*
FBQ50: An accounting statement called the …………………. which shows the amount of cash generated and used by a company in a given period.
Answer: *statement of cash flows*