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21 Nov 2019, 03:25
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E
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Difficulty:
55%
(hard)
Question Stats:
63% (01:51) correct
37%
(01:52)
wrong
based on 280
sessions
History
Date
Time
Result
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What is the value of the positive integer x ?
(1) x leaves a remainder of 2 when divided by 3, 7, or 11.
(2) 200 < x < 500
Are You Up For the Challenge: 700 Level Questions
(1) x leaves a remainder of 2 when divided by 3, 7, or 11.
(2) 200 < x < 500
Are You Up For the Challenge: 700 Level Questions
21 Nov 2019, 03:52
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(1) x leaves a remainder of 2 when divided by 3, 7, or 11.
Hence, x = N*(LCM of 3, 7, 11) +2
0r, x = 231N +2
Not sufficient to find the exact value of x.
Hence INSUFFICIENT.
(2) 200 < x < 500
Not sufficient to find the exact value of x.
Hence INSUFFICIENT.
Even after combining St1 & 2,
x = = 231N +2
x can be 233 (for N =1) or 464 (for N=2)
Not sufficient to find the exact value of x.
Hence INSUFFICIENT.
Answer = E
Hence, x = N*(LCM of 3, 7, 11) +2
0r, x = 231N +2
Not sufficient to find the exact value of x.
Hence INSUFFICIENT.
(2) 200 < x < 500
Not sufficient to find the exact value of x.
Hence INSUFFICIENT.
Even after combining St1 & 2,
x = = 231N +2
x can be 233 (for N =1) or 464 (for N=2)
Not sufficient to find the exact value of x.
Hence INSUFFICIENT.
Answer = E
Bunuel
21 Nov 2019, 03:55
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Bunuel
#1x leaves a remainder of 2 when divided by 3, 7, or 11.
LCM = 231 ; so factor of 231*x+2 values
insufficient
#2
200 < x < 500
many possible values
insufficient
from 1 &2
we get 229, 460 ... so on
insufficient
IMO E
