Entrance Exams
Govt. Exams
A = P(1 + r/100)^n = 8000(1 + 12/100)^2 = 8000(1.12)^2 = 8000 × 1.2544 = Rs. 10,035.20. Note: Recalculation gives 10,035.20 as closest
(x + 1/x)² = x² + 2 + 1/x² = 25. Therefore, x² + 1/x² = 25 - 2 = 23.
Let CP = 100. MP = 150. SP = 150 × 0.8 = 120. Profit = 120 - 100 = 20. Profit% = 20%.
Rate of A+B = 1/8. Rate of A = 1/12. Rate of B = 1/8 - 1/12 = 3/24 - 2/24 = 1/24. B takes 24 days.
Using formula: LCM × GCD = Product of numbers. 120 × 10 = 40 × x. 1200 = 40x. x = 30.
Using Pythagorean theorem: distance = √(10² + 15²) = √(100 + 225) = √325 km ≈ 18.03 km.
a:b = 3:4 means a/b = 3/4. b:c = 5:6 means b/c = 5/6. a/c = (a/b) × (b/c) = (3/4) × (5/6) = 15/24. So a:c = 15:24.
SI = (5000 × 10 × 2)/100 = 1000. CI = 5000(1.1)² - 5000 = 5000(1.21 - 1) = 1050. Difference = 1050 - 1000 = 50.
Speed = 360/6 = 60 km/h. Convert to m/s: 60 × (5/18) = 300/18 = 16.67 m/s.
Original area = L × B. New area = 1.2L × 0.9B = 1.08LB. Change = 1.08LB - LB = 0.08LB = 8% increase.