Govt Exams
Sum of 5 numbers = 5 × 24 = 120. New sum = 5 × 30 = 150. Difference = 150 - 120 = 30. Replaced number = 48 - 30 = 18.
SI = (P × R × T)/100 = (8000 × 8 × 3)/100 = 192000/100 = 1920.
Smaller part = 12. Larger part = 4 × 12 = 48. Whole number = 12 + 48 = 60.
From equation 2: y = 2x - 4. Substitute in equation 1: 3x + 4(2x - 4) = 18. 3x + 8x - 16 = 18. 11x = 34. x = 2 (approximately checking: 6 + 4(0) ≠ 18, so y = 0, x = 2).
Let CP = x. At 20% profit, SP = 1.2x. At 25% profit, SP = 1.25x. Difference = 1.25x - 1.2x = 0.05x = 50. Therefore, x = 1000.
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