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We are given:
HCF of two numbers = 8
We are asked: Which one of the following options can never be their LCM?
Let’s understand the concept first.
🧠 Key Formula:
HCF×LCM=Product of the two numbers\text{HCF} \times \text{LCM} = \text{Product of the two numbers}
So if HCF = 8, then LCM must be a multiple of 8.
Also, both numbers must be divisible by 8.
🔍 That means:
❌ The LCM can never be a number that is not divisible by 8.
Let’s take sample options to clarify (assuming sample choices like):
A) 24
B) 56
C) 60
D) 120
Now check which of these is not divisible by 8:
24 ÷ 8 = 3 ✅
56 ÷ 8 = 7 ✅
60 ÷ 8 = 7.5 ❌
120 ÷ 8 = 15 ✅
✅ Final Answer:
60 can never be their LCM (since it is not divisible by 8)
Length of the train = 100 meters
Length of the platform = 100 meters
Total distance to be covered = 100 m (train) + 100 m (platform) = 200 meters
Time taken = Not given directly (you wrote “in seconds”), so we assume you want to find time if speed is given — or vice versa.
But you asked: “The speed of the train is?” — so we must be missing the time.
Let’s assume you meant to ask:
❓ If a 100-meter-long train passes a 100-meter-long platform in 10 seconds, what is the speed of the train?
✅ Step 1: Total distance = 100 + 100 = 200 meters
✅ Step 2: Time = 10 seconds
✅ Step 3: Speed = Distance ÷ Time = 200 ÷ 10 = 20 m/s
✅ Step 4: Convert to km/h → 20 × 3.6 = 72 km/h
—
✅ Final Answer (if time = 10 seconds): Speed of the train = 72 km/h
If you have a different time value, please provide it and I’ll recalculate accordingly.