Question

32. 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?
(1) 6,3
(2) 1,6
(3) 4,4
(4) 7,2
​

Answer 1

Answer:

1)

Step-by-step explanation:

because 6×200+ 3×300=2100

Answer 2

Answer:

Option 1 is correct.

Step-by-step explanation:

Given:

Capacity of Bucket = 2000 ml

Capacity of measuring container = 200 ml and 300 ml

let x be the number of containers of 200 ml

y be the number of containers of 300 ml.

According to the question,

200x + 300y = 2000

Option 1).

x = 6 , y = 3

200 × 6 + 300 × 3 = 1200 + 900 = 2100 ≠ 2000

Thus, this not correct combination.

Option 2).

x = 1 , y = 6

200 × 6 + 300 × 6 = 200 + 1800 = 2000 = 2000

Thus, this correct combination.

Option 3).

x = 4 , y = 4

200 × 4 + 300 × 4 = 800 + 1200 = 2000 = 2000

Thus, this correct combination.

Option 4).

x = 7 , y = 2

200 × 7 + 300 × 2 = 1400 + 600 = 2000 = 2000

Thus, this correct combination.

Therefore, Option 1 is correct.