Entrance Exams
Govt. Exams
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6
Total work = 3 × 8 = 24 man-days. Men needed = 24/6 = 4
Using y - y₁ = m(x - x₁): y - 3 = 4(x - 2) → y = 4x - 5
Let numbers be 3x and 4x. Sum = 7x = 140, so x = 20. Larger number = 4×20 = 80
Let A=2x, B=3x, C=5x. Sum = 10x = 100, so x=10. Therefore C = 5×10 = 50
Let boat speed = b. Upstream speed = b-2, Downstream speed = b+2. 15/(b-2) + 25/(b+2) = 5. Solving gives b = 8 km/h
CI = P(1+r/100)^n - P = 1000(1.1)² - 1000 = 1210 - 1000 = Rs. 210
(256)^(1/4) = fourth root of 256 = 4 (since 4⁴ = 256).
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.
P = (5/8) × (4/7) = 20/56 = 5/14.