Data Sufficiency — Total weight of 10 identical poles Question: What is the total weight of 10 poles, each of the same weight? Statements: I. One-fourth of the weight of each pole is 5 kg. II. The total weight of three poles is 20 kg more than the total weight of two poles. Choose the correct sufficiency conclusion.
Verbal Reasoning
Data Sufficiency
Difficulty: Easy
Choose an option
Answer
Correct Answer: Either I or II is sufficient
Explanation
Let each pole weigh w kg
- From I: (1/4)w = 5 ⇒ w = 20 kg ⇒ Total for 10 poles = 10 × 20 = 200 kg. I alone is sufficient.
- From II: 3w = 2w + 20 ⇒ w = 20 kg ⇒ Total for 10 poles = 200 kg. II alone is sufficient.
Final Sufficiency Choice Either I or II is sufficient.