remainder

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Baldini: Senior | Next Rank: 100 Posts; Posts: 90; Joined: Mon Mar 02, 2009 6:06 am; Thanked: 3 times

by Baldini » Tue Mar 17, 2009 4:13 am

The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000?

a. 5
b. 7
c. 43
d. 57
e. 570

OA is d.

Please can someone explain how to work this out?
thanks

GMAX

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Source: Beat The GMAT — Problem Solving | Tue Mar 17, 2009 4:13 am

lav: Master | Next Rank: 500 Posts; Posts: 116; Joined: Wed Feb 18, 2009 4:06 am; Thanked: 6 times

by lav » Tue Mar 17, 2009 4:27 am

The remainder is 57 when a number is divided by 10,000.
Hence the number is of form 10,000n+57
now ques is ... What is the remainder when the same number is divided by 1,000?

where n is integer

(10,000n+57)/1000 = 10n +(57/1000)
1000 cant divide 57 hence ans is 57 hence D

Kid in Verbal

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