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A bucket of capacity 2000 mL is to be filled by using containers measuring 200 mL and 300 mL. Which one of the following combinations of containers is not correct for filling the bucket completely by the containers of 200 mL and 300 mL respectively?

  • A.1, 6
  • B.4, 4
  • C.7, 2
  • D.6, 3

Answer: D

The combination that does not work is 6, 3.

\[ 6 \times 200 + 3 \times 300 = 1200 + 900 = 2100\ \text{mL} \]

That overflows the 2000 mL bucket. The other combinations fill it exactly: 1 × 200 + 6 × 300 = 2000; 4 × 200 + 4 × 300 = 2000; and 7 × 200 + 2 × 300 = 2000.

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