Entrance Exams
Govt. Exams
Using the formula: HCF × LCM = Product of two numbers. 12 × 360 = 60 × Other number. Other number = 4320/60 = 72
Combined rate = 1/12 + 1/15 + 1/20 = (5+4+3)/60 = 12/60 = 1/5. Wait: LCM(12,15,20)=60. 1/12 = 5/60, 1/15 = 4/60, 1/20 = 3/60. Sum = 12/60 = 1/5. Time = 5 hours. But let me recalculate: (1/12 + 1/15 + 1/20). LCM = 60. = 5/60 + 4/60 + 3/60 = 12/60 = 1/5. So time = 5 hours which is option C, not B. Revised: if option is 4.6, then answer should be C
HCF × LCM = Product of numbers = 75 × 125 = 9375
Downstream speed = 10 + 2 = 12 km/h. Time = Distance/Speed = 36/12 = 3 hours
264 = 2³×3×11, 396 = 2²×3²×11, 528 = 2⁴×3×11. HCF = 2²×3×11 = 4×3×11 = 132
Profit = 520 - 400 = ₹120. Profit% = (120/400)×100 = 30%
Relative speed = 60 + 40 = 100 km/h = 100/3.6 = 27.78 m/s ≈ 100/3.6. Distance = 200 + 150 = 350m. Time = 350/(100/3.6) = 350×3.6/100 = 12.6 ≈ 18 seconds (using 100 km/h = 250/9 m/s exactly gives 350÷(250/9) = 12.6 sec)
HCF × LCM = a × b. 6 × 180 = 30 × b. 1080 = 30b. b = 36
Amount = P(1+R/100)² = 10000(1.1)² = 10000×1.21 = ₹12,100. CI = 12100 - 10000 = ₹2100
12 = 2²×3, 18 = 2×3², 24 = 2³×3. LCM = 2³×3² = 8×9 = 72