MTH100 Midterm MCQs 2024 by Miss Mehwish

MTH100 (Mega File) · Mid Term (Live Quiz) · Past Papers for Mids./Finals are also Available

 If X = {1, 2, 3}, and Y = {p, q, r} then X U Y is equal to:

{1,2,3}\{1, 2, 3\}{1,2,3} {p}\{p\}{p} {1,2,3,p}\{1, 2, 3, p\}{1,2,3,p} {1,2,3,p,q,r}\{1, 2, 3, p, q, r\}{1,2,3,p,q,r} ✅

 The determinant of identity matrix is:

Depends on the matrix None ✅

 Discriminant of the equation: (x2+x+1=0)(x^2 + x + 1 = 0)(x2+x+1=0) is:

= 0

< 0

•  The composition (f∘g)(x)(f \circ g)(x)(f∘g)(x) when f(x)=x−1f(x) = x - 1f(x)=x−1 and g(x)=1−xg(x) = 1 - xg(x)=1−x is:

None −x-x−x ✅

 The number 0.3333... is:

Rational ✅ Irrational

 The inverse exists only for non-singular matrices:

False True ✅

•  If f(x)=x2f(x) = x^2f(x)=x2 and g(x)=1xg(x) = \frac{1}{x}g(x)=x1, then (f∘g)(x)=(f \circ g)(x) =(f∘g)(x)=:

None xxx

•  If for a square matrix AAA and BBB, null matrix OOO, AB=OAB = OAB=O, it implies BA=OBA = OBA=O:

False ✅ True

 If g(x)=1x−2g(x) = \frac{1}{x - 2}g(x)=x−21, the domain of ggg is:

R−{2}R - \{2\}R−{2} ✅

RRR

 If the determinant of a matrix AAA is zero, then:

AAA is a Singular matrix ✅ AAA is a non-Singular matrix Can't say None

 If AB=OAB = OAB=O, then BA=OBA = OBA=O for square matrices:

False ✅ True Let A = {0,1} and B = {I}. If R and S be two binary relations on Cartesian product of A and B such that R = {(0,1)} and S = {(1,1)}, then R intersection S = A) empty ✔ B) {0,1} C) {1,1} D) {(0,1),(1,1)}

Let 2 be a relation from A to B then, the set of all first elements of the ordered pairs which belong to 2 is called the domain of 2.

1. domain
2. range
3. co-domain
4. null

Correct answer: domain

Suppose A = {0,1,2,3,4}, B = {2,345} and f = {(0,3),(1,3),(2,4),(3,2),(4,2)}.

1. {0,1,2,3,4}
2. {2,3,4}
3. {0, 1, 4}
4. {3,4,2}

Correct answer: {0,1,2,3,4}

If in the directed graph of a relation R there is no pair of arrows between two distinct points of the set A, then R is

1. antisymmetric
2. symmetric
3. transitive
4. reflexive

Correct answer: antisymmetric

Suppose R and S are transitive relations on a set A. Then which of the following statements is true?

1. R intersection S is transitive
2. R union S is transitive
3. R intersection S is not transitive
4. R union S is not transitive

Correct answer: R intersection S is transitive