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# In a rectangular solid, if each dimension of the solid is an integer

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Joined: 03 Mar 2018
Posts: 215
In a rectangular solid, if each dimension of the solid is an integer  [#permalink]

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05 Mar 2018, 05:51
1
1
00:00

Difficulty:

65% (hard)

Question Stats:

55% (01:13) correct 45% (00:49) wrong based on 20 sessions

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In a rectangular solid, if each dimension of the solid is an integer, what is the volume of the solid?

(1) The area of two sides of the rectangular solid is 4 and 20 respectively

(2) The area of two sides of the rectangular solid is 4 and 5 respectively.

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Re: In a rectangular solid, if each dimension of the solid is an integer  [#permalink]

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05 Mar 2018, 06:03
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itisSheldon wrote:
In a rectangular solid, if each dimension of the solid is an integer, what is the volume of the solid?

(1) The area of two sides of the rectangular solid is 4 and 20 respectively

(2) The area of two sides of the rectangular solid is 4 and 5 respectively.

REQUIREMENT - value of all three sides...

lets see the statements..

(1) The area of two sides of the rectangular solid is 4 and 20 respectively.
so a*b = 4=1*4=2*2
and a*c=20 = 1*20=4*5=2*10
so a,b,c could be 1,4,20 or 1,4,5 or 2,2,10
different volumes possible
insuff

(2) The area of two sides of the rectangular solid is 4 and 5 respectively.
so a*b=4=1*4=2*2
and a*c=5=1*5
Only possibility of a,b,and c is 1,4,5
volume = 1*4*5=20 cu m
suff

B

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: In a rectangular solid, if each dimension of the solid is an integer &nbs [#permalink] 05 Mar 2018, 06:03
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# In a rectangular solid, if each dimension of the solid is an integer

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