MTH001 Midterm MCQs 2024 by Miss Mehwish

Past Papers for Mids./Finals are also Available

1. **What is a truth value of \(\neg (p \vee q)\) when \(p\) is false and \(q\) is true?**

• F
• T
• **Correct Option: F**

2. **What will be the negation of the statement "\(-3 \leq x \leq 7\)" by DeMorgan's law?**

• \(x < -3 \text{ or } x > 7\)
• \(x \leq -3 \text{ or } x \geq 7\)
• \(x \leq -3 \text{ or } x > 7\)
• \(x < -3 \text{ and } x > 7\)
• **Correct Option: \(x < -3 \text{ or } x > 7\)**

3. **Which of the following expressions represents a set using set builder notation?**

• \(\{apple, orange, banana, pineapple\}\)
• \(\{x | x \text{ is a prime number less than 10}\}\)
• \(\{1, 2, 3, 4, 5\}\)
• \(\text{The set of all vowels in the English alphabet}\)
• **Correct Option: \(\{x | x \text{ is a prime number less than 10}\}\)**

4. **Consider sets \(A = \{2, 3\}\) and \(B = \{x | x \text{ is a prime number less than 4}\}\). Which of the following statements regarding sets \(A\) and \(B\) is true?**

• Sets \(A\) and \(B\) are equal.
• Sets \(A\) and \(B\) are not equal.
• Set \(B\) is a proper subset of set \(A\).
• Set \(A\) is a proper subset of set \(B\).
• **Correct Option: Sets \(A\) and \(B\) are equal.**

5. **Consider that \(q\) and \(p\) are statements such that \(q \rightarrow p\) is false. Then the truth value of \(q \leftrightarrow p\) is ___.**

• False
• True
• **Correct Option: False**

Q1. Which of the following numbers is rational?

1. π
2. e
3. √20.75

Correct option: C) √20.75

Q2. In which method the elements of the set are written within braces? Options:

1. Tabular
2. None of these
3. Descriptive
4. Set builder

Correct option: D) Set builder

Q3. What is the cardinality of a set?

1. The product of all elements in the set.
2. The sum of all elements in the set.
3. The largest element in the set.
4. The number of elements in the set.

Correct option: D) The number of elements in the set.

Q4. {x / x belongs to set of natural numbers and 2 < x < 4} is ______________. Options:

1. Empty set
2. An infinite set
3. A finite set
4. A singleton set

Correct option: B) An infinite set

Q5. Which of the following sets is finite?

1. Set of natural numbers less than or equal to fifty.
2. Set of animals on earth.
3. Set of points in a circle.
4. Set of lines which are parallel to a given line.

Correct option: A) Set of natural numbers less than or equal to fifty.