MTH104 Quiz 1 2024 by Iqra Azhar

The set R of real numbers is complete. True false True. What is the Cartesian product of the set {1, 2, 3} with itself? A×A={(1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3)}

True false False. Given the set A={0,1,2} with the relations R={(0,1), (1,0)} and S={(0,0), (2,1), (1,0)}. Then S ◦ R = ___________________.Select the correct option S ◦ R={(0,0), (0,1), (2,2)} S ◦ R={(0,1), (1,1), (2,0)} S∘R={(0,0),(0,1),(2,0)} Let a and b be real numbers. Then |a ± b| ≥ ||a|| - ||b||. True False The statement is false. What is the Cartesian product of the empty set with any other set?

It results in the other set

It results in a non-empty set Consider two relations R and S. Then for the composition of relation R o S, the following is true:Select the correct option R o S = S o R R o S ≠ S o R4 Greatest common divisor of 88 and 135 is _________.Select the correct option

Common divisors: 1 So, the greatest common divisor of 88 and 135 is 1. Therefore, the correct option is not listed, it is 1. Let A = {1, 2, 4}, and let R be a relation on A defined by “x divides y”, written x|y. Then _________________.Select the correct option R = { (1, 2), (1, 4), (2, 2), (2, 4), (4, 4)} None R = {(1, 1), (1, 2), (1, 4), (2, 4)} R = {(1, 1), (1, 2), (1, 4), (2, 2), (2, 4), (4, 4)} R={(1,2),(1,4),(2,2),(2,4),(4,4) – R={(1,2),(1,4),(2,2),(2,4),(4,4)}

3 × 3 × 5 × 2 {(1, 1), (2, 2), (3, 3)} {(1, 2, 3)} A×A={(1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3)} The distance between -2 and 14 on the real line is _________.Select the

-16

Therefore, the correct option is: 16. Given A={1,2} and B={5,6,7}, then B × A = ____________________.Select

{(1,5), (1,6), (1,7), (2,5), (2,6), (2,7)} {(1,5), (1,6), (1,7), (2,5), (2,6)} {(5,1), (5,2), (6,1), (6,2), (7,1), (7,2)} {(5,1), (5,2), (6,1), (6,2), (7,1)} B×A={(5,1),(5,2),(6,1),(6,2),(7,1),(7,2)}

To find the greatest common divisor (GCD) of 24 and 60, you can use various methods such as prime factorization or the Euclidean algorithm.

The distance between -3 and 11 is -----------_.Select the correct option

-31