Govt Exams
Total balls = 3 + 4 + 5 = 12. P(red) = 3/12 = 1/4
Train + Bus = 60% + 30% = 90%. Walk = 10% = 20 km. Total = 20/0.10 = 200 km
A:B = 5:3. If A = 20, then 5x = 20, so x = 4. B = 3x = 3(4) = 12 years
Girls = 35% of 60 = 21. Boys = 60 - 21 = 39
Simple Interest = (P × R × T)/100 = (5000 × 8 × 3)/100 = 1200. Total = 5000 + 1200 = 6200
The number could be 11, 18, 25, 32, etc. (of form 7k+4). When divided by 11, remainders vary: 11→0, 18→7, 25→3, 32→10. Cannot determine uniquely.
Rate of A = 1/12, Rate of B = 1/18. Combined rate = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 hours
Selling Price = Cost Price + Profit = 800 + (20% of 800) = 800 + 160 = 960
15% of x = 45, so x = 45/0.15 = 300. Then 25% of 300 = 0.25 × 300 = 75
Total distance = 120 + 180 = 300 km. Total time = 2 + 3 = 5 hours. Average speed = 300/5 = 60 km/h