Question
Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, and 16 is 4?
(CAT 1994)
(CAT 1994)
Answer: Option D
:
D
Ans: (d)
LCM of (7, 12, 16) = 336. If we divide 1856 by 336 then remainder is 176. Since it is given that remainder in this condition is 4. Hence the least number to be subtracted = (176 - 4) = 172.
Alternate Approach:
In case you don't remember this method: go from answer options by subtracting the answer option from 1856 and divide by each of 7,12, and 16 to get a reminder of 4.
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:
D
Ans: (d)
LCM of (7, 12, 16) = 336. If we divide 1856 by 336 then remainder is 176. Since it is given that remainder in this condition is 4. Hence the least number to be subtracted = (176 - 4) = 172.
Alternate Approach:
In case you don't remember this method: go from answer options by subtracting the answer option from 1856 and divide by each of 7,12, and 16 to get a reminder of 4.
Was this answer helpful ?
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