Which of the following can be represented as the product of two consecutive natural numbers?
Options
A
6
B
7
C
8
D
9
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves the concept of consecutive natural numbers and their products.
The main focus is to test students' ability to find if a given number can be expressed as the result of multiplying two consecutive natural numbers.
Key Concept Explanation
Consecutive natural numbers are numbers that follow each other in order, like and .
The product of two consecutive natural numbers is .
We need to check if the given options can be written in this form.
Step-by-Step Solution
Analyze Option A:
Let's assume . We can solve this equation by trying values of . If , then , and . So, Option A is correct.
Analyze Option B:
Suppose . There is no natural number such that . If , then , and ; if , then , and ; if , then , and . So, Option B is incorrect.
Analyze Option C:
Let
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