Govt. Exams
Entrance Exams
Rate of A = 1/20, Rate of B = 1/30, Rate of C = -1/60. Combined rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 hours.
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
Students playing cricket = 40% of 60 = 24. Students playing both = 75% of 24 = 18
Let number = 10a + b. Given: a+b=9 and (10b+a)-(10a+b)=9. From second: 9b-9a=9, so b-a=1. Solving: a+b=9, b-a=1 gives 2b=10, b=5, a=4. Number=45. Wait, checking: 45 reversed is 54. 54-45=9 ✓. But sum of digits: 4+5=9 ✓. So answer is 45 (option B). Let me recheck option A: 36 → reversed is 63 → 63-36=27 ✗. So answer is B=45.
