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09 Aug 2021, 07:45
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B
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Difficulty:
25%
(medium)
Question Stats:
77% (01:44) correct
23%
(02:03)
wrong
based on 48
sessions
History
Date
Time
Result
Not Attempted Yet
What is the greatest positive integer, which when subtracted from 5834, gives a positive integer divisible by each of 20, 28, 32 and 35?
(A) 1120
(B) 4714
(C) 5200
(D) 5600
(E) 5700
(A) 1120
(B) 4714
(C) 5200
(D) 5600
(E) 5700
09 Aug 2021, 07:52
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Bunuel
LCM of 20, 28, 32 and 35 = 32*5*7 = 1120
so 5834-x = Multiple of 1120
ie.. x must have unit digit 4
i.e. 4714 is the only potential answer
answer: Option B
09 Aug 2021, 07:57
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A number that has to be divisible by 20, should end with a 0 in unit's digit.
If the result of the subtraction from 5834 has to result in zero, unit's digit must be the same number 4.
Only option B matches this requirement.
Posted from my mobile device
If the result of the subtraction from 5834 has to result in zero, unit's digit must be the same number 4.
Only option B matches this requirement.
Posted from my mobile device
