Question

13 litres of juice is poured into bottles having capacity 2L and 3L, such that the bottles are completely filled. The correct line plot that represents the least number of bottles will be ______

• A. Plot 1
• B. Plot 2
• C. Plot 3
• D. Plot 4

Answer 1

The correct option is B Plot 2

Total amount of juice = 13 litres.

13 litres of juice is to be divided among bottles of capacity 2 L and 3 L.

To reduce the number of bottles used, we have to use as many 3 L bottles as possible.

$13L=12L+1L=4\times 3L+1L$

In this case 4 bottles, each of capacity 3 L is used. But this leaves 1 L of juice behind. As 1 L of juice cannot be used to fill a 2L bottle completely, this case is unacceptable.

Next, we use 3 bottles each of capacity 3 L.

$13L=9L+4L=3\times 3L+2\times 2L$

Here, all 13 litres of the juice is used up in filling 3 bottles of capacity 3 litres and 2 of capacity 2 litres.

Plotting the same on a line plot, we get:


Hence, the correct line plot for the given situation is plot 2.