A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant was left. Find the number of plants with him?
Correct answer: D. 845
- A. 245
- B. 125
- C. 485
- D. 845
Explanation
Since 5 plants remain for rows of 6, 8, 10 and 12, the number minus 5 must be a multiple of LCM(6, 8, 10, 12) = 120. Testing the options, 845 - 5 = 840, which is divisible by 120, and 845 is divisible by 13. The likely wrong choice is 245, which leaves 5 for some row sizes but is not divisible by 13.
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