Multiple choice

Find the correct relationship between given quantities. दी गई राशियों के बीच सही संबंध खोजें। A train pass another train coming from opposite direction at speed of 32 km/hr. Find the length of train. एक ट्रेन विपरीत दिशा से 32 किमी प्रति घंटा की गति से आ रही दूसरी ट्रेन को पार करती है। ट्रेन की लम्बाई ज्ञात कीजिये। Quantity I-Sum of lengths of both trains is 480 meter and its speed is 25% more than the speed of other train. Quantity II-Difference of lengths of both trains is 80 meter and its speed is 25% less than the speed of other train. मात्रा I- दोनों ट्रेनों की लंबाई का योग 480 मीटर है और इसकी गति अन्य ट्रेन की गति से 25% अधिक है। मात्रा II- दोनों ट्रेनों की लंबाई का का अंतर 80 मीटर है और इसकी गति अन्य ट्रेन की गति से 25% कम है।

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I ≥Quantity II मात्रा I ≥मात्रा II

  3. Quantity I<Quantity II मात्रा I < मात्रा II

  4. Quantity I ≤Quantity II मात्रा I ≤मात्रा II

  5. Quantity I = Quantity II or relationship cannot be established मात्रा I = मात्रा II या सम्बन्ध स्थापित नहीं किया जा सकता है
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E Correct answer
Explanation

This is a data sufficiency problem where we must determine if a relationship can be established between two quantities. Quantity I gives that the sum of lengths is 480m and one train's speed is 25% more than the other's. Quantity II gives that the difference of lengths is 80m and one train's speed is 25% less than the other's. From these, we can solve for individual train lengths: if L1 + L2 = 480 and |L1 - L2| = 80, then the trains are 280m and 200m. However, we are not told which train corresponds to which quantity, nor do we have the actual speeds or the time taken to cross. Without knowing which train is which or having the actual speed values, we cannot establish a relationship between the quantities.

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