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TMUA logic and arguments questions
All 22 logic and arguments questions from the TMUA past papers, 2016 to 2023, newest first, each with a worked solution.
2023
- P2 Q5 · Consider the two statements R: k is an integer multiple of π S: ∫₀^k sin…
- P2 Q9 · Consider the following statement about a pentagon P: (*) If at least one of the interior angles in…
- P2 Q11 · In this question, k is a positive integer. Consider the following theorem: If 2^k + 1 is a prime,…
- P2 Q13 · Let x be a real number. Which one of the following statements is a sufficient condition for…
2022
- P2 Q5 · A straight line L passes through (1, 2). Let P be the statement if the y-intercept of L is…
- P2 Q6 · A list consists of n integers. Consider the following statements: P: n is odd.…
- P2 Q9 · Consider the following statement: (*) For all real numbers x, if x then x² What is the complete…
- P2 Q10 · Which of the following statements is/are true? I For all real numbers x and for all…
- P2 Q13 · Consider the statement (*) about a real number x: (*) There exists a real number y such that x -…
2021
- P2 Q3 · A student is chosen at random from a class. Each student is equally likely to be chosen. Which of…
- P2 Q6 · Consider the following two statements about the polynomial f(x): P: f(x) = 0 for…
- P2 Q9 · Consider the following statements about a polynomial f(x): I f(x) = px³ + qx² +…
2020
- P2 Q19 · Nine people are sitting in the squares of a 3 by 3 grid, one in each square. Two people are called…
- P2 Q20 · x is a real number and f is a function. Given that exactly one of the following statements is…
2019
- P2 Q12 · Most students in a large college study Mathematics. A teacher chooses three different students at…
- P2 Q17 · A multiple-choice test question offered the following four options relating to a certain…
2018
- P2 Q10 · The function f(x) is defined for all real numbers. Consider the following three conditions, where…
- P2 Q11 · Consider the equation 2^x = mx + c, where m and c are real constants. Which of the following…
- P2 Q12 · Consider the following statement: For any positive integer N there is a positive integer K such…
2017
- P2 Q17 · A set S of whole numbers is called stapled if and only if for every whole number a which is in S…
- P2 Q20 · I have forgotten my 5-character computer password, but I know that it consists of the letters a,… hard