Mathematical Concepts | MCQs

Explanation

13 + 12 = 25 is mathematically correct.

Explanation

A singleton set has only one element (e.g., {a}).

The only proper subset is the empty set (∅), so it has one proper subset.

Explanation

The additive inverse of a number is what you add to a number to get zero.

In this context, 1 and -1 are additive inverses of each other, satisfying:

3 + (-1) = 2 and 1 - 3 = -2, showing the concept revolves around opposites in addition.

Explanation

Equal sets have exactly the same elements, regardless of order.

Since A = {a, b, c} and B = {b, c, a} contain the same elements, they are equal.

Explanation

B - A represents the set of elements that are in B but not in A.

The correct notation is: {x | x ∈ B and x ∉ A}

Explanation

A line extends infinitely in both directions and has no end points.

In contrast, a line segment has two end points, and a ray has one.

Explanation

Explanation

The correct definition of rational numbers is:

The set of all numbers of the form p/q where p and q are integers and q ≠ 0.

This is because rational numbers are defined as the ratio of two integers, with the denominator (q) being non-zero.

Explanation

1 is not a prime number because it has only one factor (1).

It’s also not composite because composite numbers have more than two factors.

Explanation

Co-primes (or relatively prime numbers) are pairs of numbers whose greatest common divisor (GCD) is 1.

Let's check the GCD for each pair:

(23, 92): GCD = 23 (not co-prime).

(21, 35): GCD = 7 (not co-prime).

(12, 28): GCD = 4 (not co-prime).

(18, 25): GCD = 1 (they are co-prime).