Entrance Exams
Govt. Exams
A+B = 1/12, B+C = 1/15, A+C = 1/20. Adding all: 2(A+B+C) = 1/12 + 1/15 + 1/20 = 5/60 + 4/60 + 3/60 = 12/60 = 1/5. So A+B+C = 1/10. A = (A+B+C) - (B+C) = 1/10 - 1/15 = 3/30 - 2/30 = 1/30. A alone takes 30 days
Amount = 5000(1.06)³ = 5000 × 1.191016 = 5955.08. CI = 5955.08 - 5000 = 955.08
(a+b)² = a² + b² + 2ab = 13 + 2(6) = 13 + 12 = 25
x = ∛729 = 9 (since 9 × 9 × 9 = 729)
Total age of 8 people = 8 × 35 = 280 years. After removal: total = 280 - 45 = 235. New average = 235/7 = 33.57 years
Perimeter = 2(80 + 60) = 280 m. Cost = 280 × 25 = Rs. 7,000
Taking square root: x + 2 = ±6. So x = 4 or x = -8
Speed downstream = Speed in still water + Speed of current = 12 + 3 = 15 km/h
Selling Price = Cost Price × (1 - Loss%) = 500 × (1 - 0.12) = 500 × 0.88 = Rs. 440
Rate per half-year = 5%. Number of half-years = 3. Amount = 8000(1.05)³ = 8000 × 1.157625 = 9261. CI = 9261 - 8000 = 1261