GATE CS 2015 Set 2 — Question 4
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Question
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.
(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.
Correct answer
(C) Either I or II alone is sufficient.
Solution
Let be the weight of one pole.
We need to find the total weight of 10 poles, which is .Statement (I): "One fourth of the weight of a pole is 5 Kg."
This can be written as Kg.
From this, we can find Kg.
Then, the total weight of 10 poles is Kg.
So, Statement (I) alone is sufficient.Statement (II): "The total weight of these poles is 160 kg more than the total weight of two poles."
Let be the number of poles, which is 10.
Total weight of poles is .
Total weight of 2 poles is .
So, .
Given , we have .
Kg.
Then, the total weight of 10 poles is Kg.
So, Statement (II) alone is also sufficient.Since either statement alone is sufficient to find the total weight of 10 poles, the correct option is (C).The final answer is
We need to find the total weight of 10 poles, which is .Statement (I): "One fourth of the weight of a pole is 5 Kg."
This can be written as Kg.
From this, we can find Kg.
Then, the total weight of 10 poles is Kg.
So, Statement (I) alone is sufficient.Statement (II): "The total weight of these poles is 160 kg more than the total weight of two poles."
Let be the number of poles, which is 10.
Total weight of poles is .
Total weight of 2 poles is .
So, .
Given , we have .
Kg.
Then, the total weight of 10 poles is Kg.
So, Statement (II) alone is also sufficient.Since either statement alone is sufficient to find the total weight of 10 poles, the correct option is (C).The final answer is
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