Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
Correct answer: D. 1022Everyday Science Quiz
- A. 1020
- B. 1026
- C. 1030
- D. 1022Everyday Science Quiz
Explanation
The number must be 2 more than a common multiple of 3, 4 and 5. Their L.C.M. is 60, so the numbers are of the form 60k + 2; the first one at least 1000 is 60 x 17 + 2 = 1022. The likely mistake is 1020, which is divisible by 3, 4 and 5 and therefore leaves remainder 0, not 2.
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