Post-UTME Mathematics 2015 Objective — Question 5

Question 5 of 40 from the Post-UTME Screening (Post-UTME) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

Table: Marks 2,5,8,11; No. of students 3,6,x,y. The total mark scored by 3 and x students is 30, and that by 6 and y students is 74. How many students were in the class?

A. 15
B. 16Correct
C. 68
D. 77

Explanation

For marks=2 (3 students) and marks=8 (x students): 2(3)+8x=30, so 8x=24, x=3. For marks=5 (6 students) and marks=11 (y students): 5(6)+11y=74, so 11y=44, y=4. Total students = 3+6+3+4 = 16.

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