Based on the given statements, select the most appropriate option to solve the…
2015
Based on the given statements, select the most appropriate option to solve the given question.
What will be the total weight of 10 poles each of same weight?
Statements:
(I) One fourth of the weight of a pole is 5 kg
(II) The total weight of these poles is 160 kg more
than the total weight of two poles.
- A.
Statement II alone is not sufficient.
- B.
Statement II alone is not sufficient.
- C.
Either I or II alone is sufficient.
- D.
Both statements I and II together are not sufficient.
Attempted by 53 students.
Show answer & explanation
Correct answer: C
Final answer: 200 kg
Using the first statement:
One fourth of a pole's weight is 5 kg, so one pole weighs 5 × 4 = 20 kg.
Total weight of 10 poles = 10 × 20 = 200 kg.
Using the second statement:
Let the weight of one pole be w. The total weight of these poles (10 poles) is 160 kg more than the total weight of two poles, so:
10w = 2w + 160 ⇒ 8w = 160 ⇒ w = 20 kg.
Total weight of 10 poles = 10 × 20 = 200 kg.
Conclusion: Each statement alone is sufficient to determine the total weight of the 10 poles; the total weight is 200 kg.
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