Govt Exams
SI = (25000 × 8 × 3)/100 = ₹6000. Total = 25000 + 6000 = ₹31,000
Total distance = 250 + 150 = 400 meters. Time = 20 seconds. Speed = 400/20 = 20 m/s = 20 × 18/5 = 72 km/h
For coprime numbers, HCF = 1. So LCM = Product. 143 = 11 × x. Therefore x = 13. Check: HCF(11,13) = 1 ✓
If HCF = 11, both numbers are multiples of 11. Sum = 99, one number = 33. Other = 99 - 33 = 66. Check: HCF(33,66) = 33. Correction: Numbers are 11×3=33 and 11×6=66. HCF = 11 ✓
MP = 500 × 1.60 = ₹800. SP = 800 × 0.75 = ₹600. Profit = 100. Profit% = (100/500) × 100 = 20%
Let numbers be 2k, 3k, 4k. LCM(2k, 3k, 4k) = 12k = 240, so k = 20. HCF = k = 20
Using HCF × LCM = Product of two numbers. 12 × 180 = 36 × x. Therefore x = 2160/36 = 60
LCM(8, 12, 18) = LCM(2³, 2²×3, 2×3²) = 2³×3² = 8×9 = 72 minutes
Profit = 20% of CP; ₹200 = 0.2×CP; CP = ₹1000; SP = 1000 + 200 = ₹1200
After 15% discount: 85%; After 10% on that: 85×90/100 = 76.5%; Single discount = 100-76.5 = 23.5%