Govt. Exams
Entrance Exams
Distance = Speed × Time = 5 × 3.5 = 17.5 km
∛512 = ∛(8³) = 8. Since 8 × 8 × 8 = 512
Area of square = side² = 7² = 49 cm²
Discount = 20% of 150 = 30. Selling price = 150 - 30 = Rs. 120
Boys:Girls = 3:5. If boys = 24, then 3x = 24, so x = 8. Girls = 5x = 5×8 = 40
40% of 500 = 200. 25% of 200 = 50. Or (0.25 × 0.40 × 500) = 50
Adding both equations: 2x = 14, so x = 7. Alternatively, (x+y) + (x-y) = 10+4 gives 2x = 14
Profit = 520 - 400 = 120. Profit % = (120/400) × 100 = 30%
Prime factorization: 12=2²×3, 18=2×3², 24=2³×3. LCM = 2³×3² = 8×9 = 72
Average speed = Total distance / Total time = 240/4 = 60 km/h