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TGTET Paper 1 Exam 23 Jul 2017 Paper

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Question : 118 of 150
Marks: +1, -0
a ÷ b=cb = c, c × b=ab = a ∀ a, b, c ∈ N, then the type of concepts involved in this is ______
Solution:  
Concept:
Understanding the nature of mathematical relationships between numbers or variables.
Explanation:
The given problem states that for any natural numbers aa, bb, and cc, if a÷b=ca \div b = c, then it also holds true that c×b=ac \times b = a. This means that the numbers aa, bb, and cc are not independent; they are linked by a specific mathematical operation (division and multiplication). The relationship shows how one operation can be reversed by another, defining a connection between them. This kind of concept, where elements are defined by their connection or relationship to each other through operations, is known as a relational concept.
Let's look at the options:
A. Concrete concepts: These refer to things we can experience through our senses (e.g., a chair, a fruit). Mathematical relationships are abstract, not concrete.
B. Conjunctive concepts: These involve the simultaneous presence of multiple attributes (e.g., a "red square" has both the attribute of being red and being a square). The given problem isn't about combining attributes of a single entity.
C. Disjunctive concepts: These involve the presence of one attribute OR another (e.g., a shape that is "red OR a square"). The problem describes a direct link, not an "either/or" situation.
D. Relational concepts: These describe relationships between two or more objects or ideas. In this case, aa, bb, and cc are related through division and multiplication. The statement a÷b=ca \div b = c implies a=c×ba = c \times b, which is a clear relationship.
Answer:
D. Relational concepts
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