Govt Exams
Circumference = 2πr. 44 = 2 × (22/7) × r. 44 = (44/7) × r. r = 7 cm.
log₂ 8 means 2^x = 8. Since 2³ = 8, x = 3.
TCS 2024-25 recruitment heavily emphasizes AI/ML roles alongside cloud and cybersecurity positions.
Five consecutive even numbers: x, x+2, x+4, x+6, x+8. Average = (5x + 20)/5 = 24. 5x + 20 = 120. x = 20. Largest = 28.
Dividing by 3: x² - 4x + 3 = 0. (x - 1)(x - 3) = 0. So x = 1 or x = 3.
P = (5/8) × (4/7) = 20/56 = 5/14.
Cost price = 100 × 5 = Rs. 500. Selling price = (80 × 8) + (20 × 3) = 640 + 60 = Rs. 700. Profit = 200. Profit % = (200/500) × 100 = 28%.
sin² θ + cos² θ = 1. (3/5)² + cos² θ = 1. cos² θ = 1 - 9/25 = 16/25. cos θ = 4/5 (positive since acute).
TCS typically requires a minimum of 6.5 CGPA for engineering graduates in 2024-25 recruitment cycle.
Speed in still water = (Upstream speed + Downstream speed)/2 = (8 + 12)/2 = 10 km/h.