MTH001 — Elementary Mathematics — Midterm Past Papers & Solved MCQs

Q1. Which one of the following is a statement?

• A.x+2 is positive
• B.Logic is interesting✓ Correct
• C.x+y=2
• D.May I come in?

Q2. Which one of the following is the negation of the statement “If Tanveer lives in Lahore then he lives in Pakistan.”?

• A.If Tanveer does not live in Lahore then he does not live in Pakistan
• B.Tanveer does not live in Lahore then he lives in Pakistan
• C.Tanveer does not live in Lahore and he lives in Pakistan✓ Correct
• D.If Tanveer lives in Lahore then he does not live in Pakistan

Q3. Let p be the statement "You study" and q be the statement "You pass the exams." Express the following proposition as an English sentence: ¬p → q

• A.If you pass the exams then you must have studied
• B.If you study then you pass the exams
• C.If you pass the exams then do not study
• D.If you do not study then you do not pass the exams✓ Correct

Q4. If A = {1, 2, 3} and B = {{1, 2}, 3} then A - B = .......

• A.{3}
• B.{}
• C.{1,2,3,{1,2}}
• D.{1,2}✓ Correct

Q5. If a relation is given by R = {(0,1),(1,2),(3,4)} then Range of R is

• A.{0,1,3}
• B.{1,2,3}
• C.{2,3,4}
• D.{1,2,4}✓ Correct

Q6. A constant function is one-to-one if and only if

• A.Its domain is singleton✓ Correct
• B.Its domain is empty
• C.Its co-domain is empty
• D.Its co-domain is singleton

Q7. We calculate the sum of the series 1+2+3+...+100 by using formula

• A.n(n+1)/2✓ Correct
• B.(n+1)/2
• C.n(n+1)/6
• D.n/2

Q8. Initial value = 12, Final Value = 15, Increase = 3. Then the Percentage change..............

• A.30%
• B.15%
• C.25%✓ Correct
• D.12%

Q9. What is the negation of the statement "Today is Friday"?

• A.Today is Saturday
• B.Today is not Friday✓ Correct
• C.Today is Thursday
• D.Not given

Q10. An argument is valid if the conclusion is false when all the premises are...

• A.False✓ Correct
• B.True

Q11. If no element is common in two sets F and Q, then the sets are called...

• A.Exhaustive sets
• B.Disjoint sets✓ Correct
• C.Overlapping sets
• D.Equal sets

Q12. Let A={x: x∈N and x^2+1=10} where N is the set of natural numbers. Which of the following is tabular form of A?

• A.{3}✓ Correct
• B.{-3}
• C.{9}
• D.{1}

Q13. All of the following sets are equal: {7,5,0}, {s,r,8}, {7,8}, {s,0,r}

• A.True
• B.False✓ Correct

Q14. Let R be a relation from set A to B. If R is symmetric then its inverse will be

• A.symmetric✓ Correct
• B.antisymmetric
• C.transitive
• D.reflexive

Q15. Which of the relation defines a function from X={2,4,5} to Y={1,2,4,6}? R1={(2,1),(4,1),(5,6)} R2={(2,4),(4,1),(4,2),(5,6)} R3={(2,4),(4,1),(5,6)}

• A.R1 and R2
• B.R1
• C.R3✓ Correct
• D.R2 and R3

Q16. Let R be a binary relation on a set A. R is reflexive if

• A.∀a∈A, (a,a)∈R✓ Correct
• B.∀a∈A, (a,a)∉R
• C.∀a,b∈A, (a,b)∈R
• D.∃a∈A, (a,a)∈R

Q17. On the excel sheet if you enter 5 in cell A90 and 10 in cell A91 then the formula for their sum in excel is

• A.=A90+A91✓ Correct
• B.=A90*A91
• C.=A90-A91
• D.=A90/A91

Q18. Initial value = 200, Final Value = 210, Increase = 10. Then the Percentage change...

• A.10%✓ Correct
• B.5%
• C.20%
• D.15%