Math Solution please
#1
Math Solution please
Can someone work this out with solutions.
its from a mechanical aptitude practice test.
i can work out 17 and 19
but 18 and 20 just isn't happening.
I know for most it maybe easy, but i just cant get it. tried for hours.
iv got the answers but not the math behind it all.
Thanks Matthew
its from a mechanical aptitude practice test.
i can work out 17 and 19
but 18 and 20 just isn't happening.
I know for most it maybe easy, but i just cant get it. tried for hours.
iv got the answers but not the math behind it all.
Thanks Matthew
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Lol, I'll try 18 for you:
70 x 65 = area before hole cut out = 4550cm2 = 100% of area.
pi x r squared = area of circle = 22/7 x 30 squared = 2829cm2.
30 x 30 = area of square = 900cm2.
Wasted area is 4550 - 2829 + 900 = 2621cm2.
2621 / 4550 = 58%. After all that there is no 58% answer
TX.
70 x 65 = area before hole cut out = 4550cm2 = 100% of area.
pi x r squared = area of circle = 22/7 x 30 squared = 2829cm2.
30 x 30 = area of square = 900cm2.
Wasted area is 4550 - 2829 + 900 = 2621cm2.
2621 / 4550 = 58%. After all that there is no 58% answer
TX.
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Lol, I'll try 18 for you:
70 x 65 = area before hole cut out = 4550cm2 = 100% of area.
pi x r squared = area of circle = 22/7 x 30 squared = 2829cm2.
30 x 30 = area of square = 900cm2.
Wasted area is 4550 - 2829 + 900 = 2621cm2.
2621 / 4550 = 58%. After all that there is no 58% answer
TX.
70 x 65 = area before hole cut out = 4550cm2 = 100% of area.
pi x r squared = area of circle = 22/7 x 30 squared = 2829cm2.
30 x 30 = area of square = 900cm2.
Wasted area is 4550 - 2829 + 900 = 2621cm2.
2621 / 4550 = 58%. After all that there is no 58% answer
TX.
I would have done the maths the same way as you would though.
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17:
Size of component including centre = pi*30*30 = 2827.43cm^2
Size of centre discard = 30*30 = 900cm^2
Remaining shape = 1927.43
18:
Raw materials per component:
70 x (60+2.5) Width of sheet times component size plus 25mm.
= 4375 cm^2
Total wastage = 4375 - 2827.43 + 900 = 2447.57
Percentage wastage = (2447.57/4375) * 100 = 55.9%
19:
25 metres = 2500cm so
2500/62.5 = 40
20:
Cost of component before scrap = $200/40 = $5
Scrap value = $100 * 0.559 = $55.9
Scrap reclaimed per component = $55.9/40 = 1.3975
Component cost = $3.6025
----------------------------
I'm sure 20 could be done a little more elegantly and avoid doing the divide by 40 twice.....
J.
Size of component including centre = pi*30*30 = 2827.43cm^2
Size of centre discard = 30*30 = 900cm^2
Remaining shape = 1927.43
18:
Raw materials per component:
70 x (60+2.5) Width of sheet times component size plus 25mm.
= 4375 cm^2
Total wastage = 4375 - 2827.43 + 900 = 2447.57
Percentage wastage = (2447.57/4375) * 100 = 55.9%
19:
25 metres = 2500cm so
2500/62.5 = 40
20:
Cost of component before scrap = $200/40 = $5
Scrap value = $100 * 0.559 = $55.9
Scrap reclaimed per component = $55.9/40 = 1.3975
Component cost = $3.6025
----------------------------
I'm sure 20 could be done a little more elegantly and avoid doing the divide by 40 twice.....
J.
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Just as well I tried to understand his answer though. I'd not seen the CM and MM. I started trying to make it work with 85CM!
J.
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#8
thanks vindaloo, thats all correct to answers.
thanks for workings out, couldn't believe how close i was to the answers.
didn't take 1.4 fro 5 on question 20. Im a dumb *** lol
and -900 not plus on question 18.
Thanks for that, done my head in all day.
aptitude test practice for a job.
last time i done maths was 2001 leaving school
thanks for workings out, couldn't believe how close i was to the answers.
didn't take 1.4 fro 5 on question 20. Im a dumb *** lol
and -900 not plus on question 18.
Thanks for that, done my head in all day.
aptitude test practice for a job.
last time i done maths was 2001 leaving school
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60 + 2.5 + 2.5 = 65cm.
TX.
Edit - Vindaloo done me on the 2.5 + 2.5, as he says you only need to use one 2.5
2nd edit - my job revolves around numbers fpmsl
Last edited by Terminator X; 10 February 2012 at 06:48 PM.
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Terminator you only need 1.25 either side of each component, i.e. 1.25 on the left of one component plus 1.25 on the right of the other means a 2.5 gap, what your doing is leaving a gap of 5 between components.
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20. Cost of material per component = $200 / 40 = $5.
Waste = 56% but half that recovered from sale of scrap.
So recovery from sale of waste = 28%.
Cost of component = $5 x 72% = $3.60. (Material cost only )
Waste = 56% but half that recovered from sale of scrap.
So recovery from sale of waste = 28%.
Cost of component = $5 x 72% = $3.60. (Material cost only )
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