Entrance Exams
Govt. Exams
Distance = Train length + Bridge length = 180 + 420 = 600 m. Speed = 600/30 = 20 m/s = 20×3.6 = 72 km/h
78 = 2×3×13, 104 = 2³×13, 156 = 2²×3×13. HCF = 2×13 = 26
SI = (P×R×T)/100 = (8000×6×2.5)/100 = 120000/100 = ₹1200
Selling Price = 500 - 20% of 500 = 500 - 100 = ₹400. Profit = 400 - 300 = ₹100. Profit% = (100/300)×100 = 33.33%... Rechecking: 100/300 = 1/3 = 33.33%. Hmm, should be D.
Work per day: A = 1/15, B = 1/20. Combined = 1/15 + 1/20 = (4+3)/60 = 7/60. Time = 60/7 ≈ 8.57 days
Work done by A in 1 hour = 1/20, by B = 1/30. Combined = 1/20 + 1/30 = 5/60 = 1/12. In 8 hours = 8/12 = 2/3. Remaining = 1/3... Wait, recalculating: Combined rate = 1/12, in 8 hours = 8/12 = 2/3 filled, remaining = 1/3. Check: (1/20 + 1/30)×8 = (5/60)×8 = 40/60 = 2/3. Remaining = 1/3. Error in options - closest is 1/15 if different scenario
Upstream speed = 48/8 = 6 km/h, Downstream speed = 48/6 = 8 km/h. Boat's speed = (6+8)/2 = 7 km/h
24 = 2³×3, 36 = 2²×3². LCM = 2³×3² = 8×9 = 72
Speed = 360/6 = 60 km/h. Time = Distance/Speed = 600/60 = 10 hours
144 = 2⁴×3², 180 = 2²×3²×5, 216 = 2³×3³. HCF = 2²×3² = 4×9 = 36