Question : The sum of weights of A and B is 80 kg. 50% of A's weight is $\frac{5}{6}$ times the weight of B. Find the difference between their weights.

Option 1: 20 kg

Option 2: 10 kg

Option 3: 25 kg

Option 4: 15 kg

Question : A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are $\frac{3}{2}$ cm and 2 cm, respectively. Find the diameter of the third ball.

Option 1: 2.1 cm

Option 2: 3.3 cm

Option 3: 3 cm

Option 4: 2.5 cm

Question : The average weight of 12 persons increases by 3.5 kg when a new person comes in place of one of them weighing 58 kg. The weight of the new person is:

Option 1: 100 kg

Option 2: 16 kg

Option 3: 70 kg

Option 4: 42 kg

Question : In a class of 60 students, there are 35 boys. The average weight of boys is 42 kg and the average weight of the full class is 46.5 kg. Find the average weight of girls in the class.

Option 1: 48.7 kg

Option 2: 49.7 kg

Option 3: 52.8 kg

Option 4: 56.7 kg

Question : The average weight of the first 11 people among 12 people is 95 kg. The weight of the 12th person is 33 kg more than the average weight of all 12 people. The weight of the 12^th person is:

Option 1: 128.75 kg

Option 2: 128 kg

Option 3: 131 kg

Option 4: 97.45 kg