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14 Sep 2018, 02:03
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Difficulty:
65%
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Question Stats:
52% (02:07) correct
48%
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wrong
based on 81
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The inside of a rectangular carton is 90 centimeters long, 45 centimeters wide, and k centimeters high. The carton is filled to capacity with 200 identical cylindrical cans of fruit that stand upright in rows and columns. If the cans are 10 centimeters high, what is minimum value of k?
(1) The box fits 4 layers of cans.
(2) The radius of each can is 4.5 centimeters.
(1) The box fits 4 layers of cans.
(2) The radius of each can is 4.5 centimeters.
honneeey
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Schools: Booth '18 Kellogg '18 HBS '18 Stanford '18 ISB '20
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15 Sep 2018, 01:43
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Excellent question!
Answer is D.
1.if box fits 4 layers of cans that means height shud be 4 times height of a can i.e. 40 cms.
Sufficient.
2.radius of can =4.5 dia=9 cm
Therefore in area of carton 90*45 cm.
No. Of cans will be 10*5 i.e on bottom most tier 50 cans can be kept.
For 200 cans, we need 4 layers therefore.
4 times height of can =40 cms.
Sufficient.
Consider giving kudos if this helped !
Posted from my mobile device
Answer is D.
1.if box fits 4 layers of cans that means height shud be 4 times height of a can i.e. 40 cms.
Sufficient.
2.radius of can =4.5 dia=9 cm
Therefore in area of carton 90*45 cm.
No. Of cans will be 10*5 i.e on bottom most tier 50 cans can be kept.
For 200 cans, we need 4 layers therefore.
4 times height of can =40 cms.
Sufficient.
Consider giving kudos if this helped !
Posted from my mobile device
16 Sep 2018, 09:32
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Can somebody explain how statement 2 is also sufficient? I thought the answer should be A.
