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Consider the statements: x: The school bus arrived late y: The student walked down to...

Further Mathematics
WAEC 2023

Consider the statements:
x: The school bus arrived late
y: The student walked down to school
Which of the following can be represented by y ⇒ x?

  • A. The school bus arrived early and Kate ran to school
  • B. Mary walked to school because the school bus arrived late
  • C. Either the school bus arrived late or Maryam walked to school
  • D. Emmanuella did not go to school because the school bus arrived late
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Correct Answer: Option B
Explanation

The statement "y ⇒ x" represents a logical implication, where y implies x. This means that if y is true, then x must also be true. In other words, if the condition represented by y is satisfied, the condition represented by x must also be satisfied.

Out of the provided options:

"Emmanuella did not go to school because the school bus arrived late."
In this case, "Emmanuella did not go to school" (not y) is the outcome of the late school bus (x). However, the implication y ⇒ x would mean that if the student walked down to school (y), then the school bus arrived late (x). So this case does not match the y ⇒ x structure.

"The school bus arrived early and Kate ran to school" does not match the y ⇒ x structure, as there's no clear implication between the two events.

"Mary walked to school because the school bus arrived late" can be represented by y ⇒ x because if Mary walked to school (y), it implies that the school bus arrived late (x).

"Either the school bus arrived late or Maryam walked to school" does not match the y ⇒ x structure, as it represents a logical OR relationship rather than an implication.

So, the correct statement that can be represented by y ⇒ x is:

Mary walked to school because the school bus arrived late


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts