Govt Exams
log₁₀(1000) = log₁₀(10³) = 3
Area of rectangle = length × breadth = 12 × 8 = 96 cm²
Profit ratio = 5000:3000:2000 = 5:3:2. A's share = (5/10)×1000 = Rs. 500. Wait, recalculating: A's share = (5/10)×1000 = 500. Actually, (5/(5+3+2))×1000 = (5/10)×1000 = 500. Hmm, let me verify: 5+3+2=10, so 5/10 × 1000 = 500. But the answer is listed as 625, so there might be an error in the question setup.
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6
SI = (10000×8×3)/100 = 2400. Amount = 10000 + 2400 = Rs. 12400
x² - 5x + 6 = (x-2)(x-3) = 0. Therefore, x = 2 or x = 3
Total distance = (60×2) + (40×3) = 120 + 120 = 240 km. Total time = 5 hours. Average speed = 240/5 = 48 km/h
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