Ein "Lilavati"-Problem

Error

There was an error loading the page.

Contributors

Andreas Vohns

Feedback

From users who are members of Geschichte der Mathematik :

Andreas Vohns

said

Ready to use

4 years, 4 months ago

History

○

Andreas Vohns 4 years, 4 months ago

Published this.

○

Andreas Vohns 4 years, 4 months ago

Gave some feedback: Ready to use

○

Andreas Vohns 4 years, 4 months ago

Created this.

There is only one version of this question that you have access to.

Question statement

Die folgende Aufgabe ist einem Problem aus dem "Lilavati" von Bhaskara nachempfunden:

Von einem Strauß reinster Lostosblüten
ein {brueche[a]} wird Shiva als Gabe gebracht,
ein {brueche[b]} an Vishnu, ein {brueche[c]} der Sonne,
ein {brueche[d]} erhält Bhvani.
die übrigen {f} Blüten erhält der ehrenwerte Lehrer.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	3
b	integer	5
c	integer	4
d	integer	6
f	integer	8
brueche	list	List of 9 items
remains	rational	1/20
solution	rational	160
parts	list	[ 3, 5, 4, 6 ]

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
parts[0]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Wie viele Lotusblüten hatte der Strauß anfangs?

Antwort: Unnamed gap Lotusblüten.

Advice

Man addiert zunächst die als Gabe dargebrachten Anteile:

$\frac{1}{\var{a}}+\frac{1}{\var{b}}+\frac{1}{\var{c}}+\frac{1}{\var{d}}=\frac{\var{lcm(a,b,c,d)/a}+\var{lcm(a,b,c,d)/b}+\var{lcm(a,b,c,d)/c}+\var{lcm(a,b,c,d)/d}}{\var{lcm(a,b,c,d)}}=\frac{57}{60}=\frac{19}{20}$

Somit entsprechen $\frac{1}{20}$ der Blüten {f}, womit es anfangs $20\cdot \var{f}=\var{solution}$ Lotusblüten gewesen sind.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Ein "Lilavati"-Problem

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

Andreas Vohns 4 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`