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CodingProblem2d.pg
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99 lines (75 loc) · 1.78 KB
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##DESCRIPTION
## This problem is meant to have students write brief pieces of code to solve problems that have a specific numerical answer.
##ENDDESCRIPTION
##KEYWORDS('programming', 'code')
## DBsubject('Programming')
## DBchapter('')
## DBsection('')
## Date('6/7/2016')
## Author('')
## Institution('')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')
########################################################################
DOCUMENT();
loadMacros(
"PG.pl",
"PGauxiliaryFunctions.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"MathObjects.pl",
"problemRandomize.pl",
"PGanswermacros.pl",
"PGgraphmacros.pl",
"PGnumericalmacros.pl",
"PGstatisticsmacros.pl",
"answerHints.pl"
);
TEXT(beginproblem());
$showPartialCorrectAnswers = 1;
#Allow the student to generate a new (re-randomized) problem
#AFTER they have submitted a correct answer.
ProblemRandomize(onlyAfterDue=>0);
##############################################################
$N = random(15000,17000,1);
$M1 = 5;
$M2 = 9;
if ($M1 == $M2) {
$Nstart=$N+1;
} else {
$Nstart=$N;
}
$S = 0;
for ( $j = 1; $j < $N; $j++) {
if ( $j/$M1 == floor($j/$M1) ) {
$S = $S + $j;
} elsif ( $j/$M2 == floor($j/$M2) ) {
$S = $S + $j;
} else {
$S = $S + 0;
}
}
##############################################################
#
# Text
#
#
Context()->texStrings;
BEGIN_TEXT
If we list all of the natural numbers below 10 that are multiples of 3 or 5 we get \(3, 5, 6,\) and \(9\). The sum of these multiples is 23.
$BR
Write MATLAB program that will find the sum of all the multiples of 5 or 9 below $N.
$BR
Sum = \{ans_rule(15)\}
$PAR
END_TEXT
ANS(num_cmp($S,,tol=>.5));
##############################################################
#
# Answers
#
#
ENDDOCUMENT();