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CTET PAPER I 2018 · PYQ · Volume / Linear Combinations · easy

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?

Answer

The correct answer is D: 6, 3. We need 200a + 300b = 2000. Check each: (1) 1×200 + 6×300 = 200+1800 = 2000 ✓; (2) 4×200 + 4×300 = 800+1200 = 2000 ✓; (3) 7×200 + 2×300 = 1400+600 = 2000 ✓; (4) 6×200 + 3×300 = 1200+900 = 2100 ≠ 2000 ✗.

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

Explanation

We need 200a + 300b = 2000. Check each: (1) 1×200 + 6×300 = 200+1800 = 2000 ✓; (2) 4×200 + 4×300 = 800+1200 = 2000 ✓; (3) 7×200 + 2×300 = 1400+600 = 2000 ✓; (4) 6×200 + 3×300 = 1200+900 = 2100 ≠ 2000 ✗. So option (4) is not correct.
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