Question

2. A test paper for first year Engineering Mathematics has thirty questions worth of 100 marks. The test consists of two sections. Section One consists of true/false questions worth 1 mark each, and multiple-choice questions worth 2 marks each. Meanwhile, Section 2 consists of only subjective questions worth 12 marks each. The number of multiple-choice questions given is three times as many as subjective questions. Provided that, = number of true/false questions m = number of multiple-choice questions = number of subjective questions, S (a) Form a system of linear equations based on the problem given and represent the equations in matrix form. (b) Using Gauss elimination system, determine the total marks of each Section One and Two for the test paper.

Answer 1

# solution According to Question ttmtsa 30 a t +2m +125 = 100 Tui m=35 m-3SO Ü in matrix foom + 30 2 12 m 100 o o 5 1 - 3 Ang..

# solution ACCO to Question cording Ô ++2m +125 = 100 to ttmts = 30 11 m = 35 m-35=0 from agnatius in i bi put m=35 in (iframe from (7) then tt (35) + s = 30 tt 45 =30 4+2(3)+125=100 tt 185 = 100 1 FD solving, cu +/+189 +/+185 = 100 - V tus = 30 -iv g subheart 145 = 70 S = 5

from 1 m =3052 m=15 then from o 7= 30-s-m = 30-5-15 to 10 therefore marks for frue false = 10 mulliple choice = 15x2 = 30 mavils = 5X12 = 60 Marke Subjective there fece marks sechea section (1) = 10 +30 = 40 Marks. section (2) = 60 Marks.