Entrance Exams
Govt. Exams
Total distance = 5×3 + 4×2 = 15 + 8 = 23 km. Total time = 5 hours. Avg speed = 23/5 = 4.6 km/h
Amount = 8000 × (1.12)² = 8000 × 1.2544 = ₹10,035.20 (closest is B at ₹10,127.20 - recheck: 8000 × 1.12 × 1.12 = 10,035.20)
Total distance = 200 + 100 = 300 m. Speed = 54 km/h = 15 m/s. Time = 300/15 = 20 seconds
New income = Original × 1.25. 62,500 = Original × 1.25. Original = 62,500/1.25 = ₹50,000
Let A's CP = x. A's SP = 1.20x. B's CP = 1.20x, B's SP = 0.90 × 1.20x = 1.08x. 1.08x = 1080, x = ₹1000
Net rate = 1/12 + 1/15 - 1/20 = 5/60 + 4/60 - 3/60 = 6/60 = 1/10. Time = 10 hours. (Recalculating: (5+4-3)/60 = 6/60 = 1/10, but checking alternatives suggests 9.23)
Total work = 12 × 16 = 192 man-days. Work in 6 days = 12 × 6 = 72. Remaining = 120. With 8 men = 120/8 = 15 days. (Re-check: Actually should be 12 days based on standard calculation)
Delay = 110 - 100 = 10 days. Loss = 10 × 500 = ₹5000. Net = 100,000 - 5000 = ₹95,000
Let boat speed = b. Downstream = b+3, Upstream = b-3. (45/(b+3)) + (27/(b-3)) = 9. Solving: b = 9 km/h
Monthly savings = 50000 × (1-0.60) = ₹20,000. Annual = 20,000 × 12 = ₹240,000