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Each block from bin A is 4 inches tall, while each block from bin B is

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snorkeler
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Each block from bin A is 4 inches tall, while each block from bin B is [#permalink] New post   04 Jun 2016, 12:25
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Each block from bin A is 4 inches tall, while each block from bin B is 5 inches tall. If 12 blocks are stacked on each other, including a blocks from bin A and B blocks from bin B, into a single column, is a>b?

(1) b>5
(2) The height of the column is less than 56 inches
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Re: Each block from bin A is 4 inches tall, while each block from bin B is [#permalink] New post   04 Jun 2016, 20:12
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snorkeler wrote:
Each block from bin A is 4 inches tall, while each block from bin B is 5 inches tall. If 12 blocks are stacked on each other, including a blocks from bin A and B blocks from bin B, into a single column, is a>b?

(1) b>5
(2) The height of the column is less than 56 inches


Hi,
there are 12 blocks - a from A and b from B...
Is a>b?

(1) b>5
which means minimum value of b is 6, and largest value of a = 12-6=6...
so \(a\leq{b}\)..
Ans for "is a>b?" is NO
Suff

(2) The height of the column is less than 56 inches
If the # of both a and b is equal, 6 each, the height would be (4+5)*6 = 54inches..
Ht <56 inches...
so a > b, height could be anything from 4*12= 48 to 53..
if a=b, height will be 54..
if a<b, height will be 55..
so different answers possible
Insuff
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Re: Each block from bin A is 4 inches tall, while each block from bin B is [#permalink] New post   19 Jan 2018, 18:58
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I use the direct method which is the use the number for a and b.
It works.
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Re: Each block from bin A is 4 inches tall, while each block from bin B is [#permalink] New post   19 Feb 2020, 09:57
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snorkeler wrote:
Each block from bin A is 4 inches tall, while each block from bin B is 5 inches tall. If 12 blocks are stacked on each other, including a blocks from bin A and B blocks from bin B, into a single column, is a>b?

(1) b>5
(2) The height of the column is less than 56 inches


a+b=12
a>b?

(1) b>5: sufic
b≥6: a+b=12, a≤6, thus a≤b

(2) The height of the column is less than 56 inches: insufic
column a+b=12 height<56={9 to 55}
a=10, b=2: 10(4)=40, 2(5)=10, 40+10=50; a>b
a=5, b=7: 5(4)=20, 7(5)=35, 20+35=55; a<b

Ans (A)
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Re: Each block from bin A is 4 inches tall, while each block from bin B is [#permalink]
19 Feb 2020, 09:57
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Bunuel
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