Entrance Exams
Govt. Exams
Milk:Water = 5:3, Total parts = 8. Milk = 5/8 × 80 = 50 liters
A:B = 3:4 (multiply by 5) = 15:20. B:C = 5:6 (multiply by 4) = 20:24. So A:B:C = 15:20:24
Using Pythagorean theorem: Distance = √(6² + 8²) = √(36 + 64) = √100 = 10 km
Sum of first n natural numbers = n(n+1)/2. Sum = 20×21/2 = 210. Average = 210/20 = 10.5
Amount = P(1 + R/100)^n = 10000(1 + 10/100)^2 = 10000(1.1)^2 = 10000 × 1.21 = Rs. 12,100
Selling Price = Cost Price × (1 - Loss%). SP = 500000 × (1 - 0.15) = 500000 × 0.85 = Rs. 4,25,000
Rate of A = 1/12, Rate of B = 1/15. Combined rate = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Time = 20/3 = 6.67 hours
Original speed = 300/5 = 60 km/h. New speed = 60 × 1.2 = 72 km/h. Time = 360/72 = 5 hours
Each number is multiplied by 2. 5×2=10, 10×2=20, 20×2=40, 40×2=80
Factors of 24: 1,2,3,4,6,8,12,24. Factors of 36: 1,2,3,4,6,9,12,18,36. GCD = 12