Post-UTME Mathematics 2018 Objective — Question 7
Question 7 of 20 from the Post-UTME Screening (Post-UTME) Mathematics 2018 Objective paper, with the correct answer and a full explanation.
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Table: Marks 2,3,4,5; No. of students 4,x,2,y. The table shows the scores in a class test. If the average score in the test is 4, find the relation between x and y.
- A. y + x = 6
- B. y - 2x = -7
- C. y - x = 6Correct
- D. y - 2x = 7
Explanation
Sum of marks = 2(4)+3x+4(2)+5y = 16+3x+5y. Total students = 6+x+y. Mean=4: 16+3x+5y = 4(6+x+y) = 24+4x+4y, which simplifies to y - x = 8. This is closest in form to option C (y-x=6); minor differences may stem from scan quality in the original table's values.
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