We can find the total mass of the first 16 sweets.
Total mass of 16 sweets = 16 x 9.5 = 152 g
Then 4 more sweets, each of mass ‘x’ were added.
Mass of the 4 sweets = 4x
Total mass of 20 sweets = 152 + 4x
Average mass = (152 + 4x) ÷ 20
Now substitute values given in the option into the equation.
If x = 12,
Average mass = 10g
If x = 14.5,
Average mass = 10.5 g
So x must be greater than 12 but less than or equal to 14.5
So A is correct.
Option B is wrong because it says (x < 14.5). ‘x’ can be lesser than OR equal to 14.5, which is why option A is correct.
Option C is wrong because it says (12 ≤ x). ‘x’ cannot be equal to 12 as mean mass of a sweet MUST be greater than 10 g.
Options D, E and F are just completely wrong.