What will be the total weight of 10 poles, each of the same weight ?…
2025
What will be 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 kilograms more than the total weight of two poles.
- A.
I alone is sufficient while II alone is not sufficient
- B.
II alone is sufficient while II alone is not sufficient
- C.
Either I or II is sufficient
- D.
Neither I nor II is sufficient
Attempted by 670 students.
Show answer & explanation
Correct answer: C
Answer: Either statement alone is sufficient.
Explanation:
Statement I: One-fourth of the weight of each pole is 5 kg, so each pole weighs 4 × 5 = 20 kg. Therefore 10 poles weigh 10 × 20 = 200 kg.
Statement II: If the weight of each pole is w, the total weight of three poles is 3w and of two poles is 2w. Given 3w − 2w = 20, so w = 20 kg. Hence 10 poles weigh 10 × 20 = 200 kg.
Since each statement independently gives the weight of a single pole, either statement alone is sufficient to find the total weight of 10 poles (200 kg).