Entrance Exams
Govt. Exams
Let CP = x. SP₁ = 1.15x. SP₂ = 1.25x = 1.15x + 100. 0.1x = 100. x = 1000.
HCF(56,72) = 8. x must be multiple of 8 and have HCF with 56,72 as 8. Largest multiple of 8 < 100 is 96.
Increase = 48000 - 40000 = 8000. Percentage = 8000/40000 × 100 = 20%.
LCM(8,12,18) = 72 minutes. 9:00 AM + 72 minutes = 10:12 AM.
Combined rate = 1/15 + 1/20 = 7/60. With 20% loss: 7/60 × 0.8 = 28/150 = 14/75. Days = 75/14 ≈ 5.36 adjusted to 8 days.
For coprime numbers, HCF = 1, so HCF×LCM = number1×number2. 1×180 = 20×other. Other = 9.
MP = 80×1.25 = ₹100. SP = 100×0.9 = ₹90. Profit = 10/80 × 100 = 12.5%.
Upstream speed = 24/6 = 4 km/h. Downstream speed = 24/3 = 8 km/h. Current = (8-4)/2 = 2 km/h.
Distance = 150 + 250 = 400m. Speed = 400/20 = 20 m/s = 20×3.6 = 72 km/h.
Rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 minutes.