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In a certain warehouse, there are fewer than 17 computers. If the comp
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26 Apr 2022, 00:00
26 Apr 2022, 00:00
Expert Reply
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Question Stats:
88% (01:13) correct
11% (03:43) wrong based on 9 sessions
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In a certain warehouse, there are fewer than 17 computers. If the computers are stacked 4 to a stack, there are three left. If they are stacked 3 to a stack there are two left. How many computers are in the warehouse?
(A) 11
(B) 13
(C) 15
(D) 17
(E) 19
(A) 11
(B) 13
(C) 15
(D) 17
(E) 19
Part of the project: Skill Builder Project for a Q170
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: In a certain warehouse, there are fewer than 17 computers. If the comp
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26 Apr 2022, 11:15
26 Apr 2022, 11:15
1
Multiple of 4 = 4 , 8 , 12 ,16
Stacked 4 and 3 left, so no. of computers can be 7, 11, 15, 19 ....
Multiple of 3 = 3 , 6, 9, 12, 15
Stacked 3 and 2 left, so no. of computers can be 5, 7, 11, 14, 17.....
We can see 11 appears in both sequence and also an ans choice, so correct ans is option A
Stacked 4 and 3 left, so no. of computers can be 7, 11, 15, 19 ....
Multiple of 3 = 3 , 6, 9, 12, 15
Stacked 3 and 2 left, so no. of computers can be 5, 7, 11, 14, 17.....
We can see 11 appears in both sequence and also an ans choice, so correct ans is option A
Re: In a certain warehouse, there are fewer than 17 computers. If the comp
[#permalink]
01 Aug 2022, 01:02
01 Aug 2022, 01:02
1
x= 4k+3 = 3k+2
x+1 = 4k+4 =3k+3
This means x+1 is divisible by both 3 and 4, which means it's multiple of 12.
There are fewer than 17 computers ➡️ x<17
Within this range, there's only the number 12 that fits in the criterion of x+1
So, x= 12-1 = 11.
x+1 = 4k+4 =3k+3
This means x+1 is divisible by both 3 and 4, which means it's multiple of 12.
There are fewer than 17 computers ➡️ x<17
Within this range, there's only the number 12 that fits in the criterion of x+1
So, x= 12-1 = 11.
