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23 Nov 2022, 02:30
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B
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Difficulty:
65%
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Question Stats:
41% (01:34) correct
59%
(01:36)
wrong
based on 44
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If 0 < x < 1, is the tenth digit of x nonzero?
(1) 16x is an integer.
(2) 8x is an integer.
(1) 16x is an integer.
(2) 8x is an integer.
Archit3110
Major Poster
23 Nov 2022, 03:35
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0<x<1
least x is 0.01 and max 0.9
tenth digit can be either 0 or non zero
#1
16x is an integer.
this is possible if x 0.07 or 0.1
insufficient
#2
8x is an integer x is .125
OPTION B
sufficient
least x is 0.01 and max 0.9
tenth digit can be either 0 or non zero
#1
16x is an integer.
this is possible if x 0.07 or 0.1
insufficient
#2
8x is an integer x is .125
OPTION B
sufficient
Bunuel
S1) 16x is an integer, x can be 1/16, 1/8, 1/4, 1/2.
1/16= 0.0625
1/8= 0.125
1/4= 0.25
1/2= 0.5
Tenth digit may or may not be 0.
S2) 8x is an integer, x can be 1/8, 1/4, 1/2.
Tenth digit is definitely not 0.
Hence B is the correct choice.
Posted from my mobile device
1/16= 0.0625
1/8= 0.125
1/4= 0.25
1/2= 0.5
Tenth digit may or may not be 0.
S2) 8x is an integer, x can be 1/8, 1/4, 1/2.
Tenth digit is definitely not 0.
Hence B is the correct choice.
Posted from my mobile device
