Solved Past Paper
ELEMENTARY SCHOOL TEACHER (EST)
2024
Let H be a subgroup of a group G, then the number of left cosets is ____ the number of right cosets of H in G.
A. Less than
B. Equal to
C. Greater than
D. None
In the group G = (-1,1,-i,i), the order of -i is?
A. -1
B. 1
C. 2
D. 4
If X has n elements, then ______ permutations can be taken on X.
A. n
B. n!
C. (n – 1)!
D. (n + 1)!
The order of a cyclic permutation of length n is?
A. n
B. n!
C. (n – 1)!
D. (n + 1)!
A cycle of length _____ is called the transposition.
A. Two
B. Three
C. Four
D. None
Every group of prime order is?
A. Cyclic group
B. Non-abelian group
C. Not cyclic
D. Abelian but not cyclic group
A subset F of a topological space X is closed if and only if F = ?
A. Int(F)
B. Cl(F)
C. Bd(F)
D. X
Ext(A) =?
A. X
B. Int(A)
C. Int(A^c)
D. None
Power set of a nonempty set X is?
A. A topology on X
B. An empty set
C. Not topology on X
D. An infinite set
A sequence (Xn) in a metric space X is said to be strictly increasing if for all n?
A. Xn ≤ X(n+1)
B. Xn ≥ X(n+1)
C. Xn < X(n+1)
D. Xn > X(n+1)
A convergent sequence in a metric space is?
A. Bounded
B. Not constant
C. Unbounded
D. None of these
The value of the solid of revolution when rotating around the x-axis is given by?
A. π ∫[a, b] (f(x))^2 dx
B. 2π ∫[a, b] (f(x))^2 dx
C. π ∫[a, b] (f(x)) dx
D. 2π ∫[a, b] (f(x)) dx
The series is convergent if?
A. P
B. p
C. p>1
D. 0<p<1
Which one of the following is a unary operation?
A. Addition
B. Multiplication
C. Square root
D. None
Z is a group under?
A. Subtraction
B. Addition
C. Multiplication
D. Division
In the group (G, *), where a, b ∈ G, which of the following is always true?
A. a + b ∈ G
B. ab ∈ G
C. a * b ∈ G
D. a – b ∈ G
The action of wearing of sock and shoes?
A. Does not commute
B. Commute
C. Does not exist
D. Associative
ax(bxc) is a vector lying in the plane containing vectors?
A. a and b
B. a and c
C. b and c
D. a and axb
When is z = a + 2by + 2bxy true?
A. When x = 0
B. When y = 0
C. When b = 0
D. When a = 0
01.Which theory of cognitive development emphasizes the role of social interaction and play in learning?
a) Psychoanalysis by Sigmund Freud
b) Moral Development by Lawrence Kohlberg
c) Cognitive Development by Jean Piaget
d) Sociocultural Learning by Lev Vygotsky
02.What instructional strategy encourages students to analyze information and draw conclusions?
a) Direct Instruction
b) Inquiry-Based Learning
c) Lecture
d) Group Discussion
03.The national standards that outline learning expectations for students are called:
a) Benchmarks b) Content Objectives
c) Standards d) Learning Outcomes
04.Which classroom management technique involves dividing students into small groups to complete a task?
a) Individualized Instruction
b) Cooperative Learning
c) Inquiry-Based Learning
d) Focus Group
05.What is the primary goal of effective classroom management?
a) To modify the disruptive behavior and maintain discipline
b) To create a safe, positive, and conducive learning environment
c) To complete the syllabus well in time
d) To complete lecture without interruption
06. Which type of assessment provides ongoing feedback to improve student learning?
a) Summative Assessment
b) Formative Assessment
c) Digastric Assessment
d) Ipsative Assessment
07.Which model of learning combines in-person instruction with online or digital components?
a) Traditional Classroom
b) Flipped Classroom
c) Blended Learning
d) Project-Based Learning
08.Which pedagogical approach emphasizes developing students’ emotional intelligence and social skills?
a) Social-Emotional Learning (SEL)
b) Blended Learning
c) Gamification
d) Flipped Classroom
09. What is the key principle behind the flipped classroom model?
a) Lectures are delivered in class, and activities are completed at home
b) Teachers spend most of the class time grading papers.
c) There is no distinction between classroom and homework activities
d) Students complete all work in the classroom under teacher supervision
10. In Project-Based Learning (PBL), students engage in projects that require them to:
a) Actively investigate a topic and solve problems
b) Memorize facts for a test
c) Work independently with minimal guidance
d) Passively receive information from the teacher
