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Official PYQ · 2015

GATE CS 2015 Set 2 QGA-5 — General Aptitude

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Based on the given statements, select the most appropriate option to solve the given question.

What will be the total weight of 1010 poles each of same weight?

Statements:

  1. One fourth of the weight of the pole is 5  Kg5\;\text{Kg}.
  2. The total weight of these poles is 160  Kg160\;\text{Kg} more than the total weight of two poles.
Choose one option
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Answer: C

Let the weight of each pole be ww kg. We need to find the total weight of 1010 poles, which is 10w10w.

Analyzing Statement I:

"One fourth of the weight of the pole is 5 kg5\text{ kg}."

14w=5  ⟹  w=20 kg\frac{1}{4}w = 5 \implies w = 20\text{ kg}

The total weight of 1010 poles is 10×20=200 kg10 \times 20 = 200\text{ kg}.
Thus, Statement I alone is sufficient.

Analyzing Statement II:

"The total weight of these poles (10 poles) is 160 kg160\text{ kg} more than the total weight of two poles."

10w=2w+16010w = 2w + 160 8w=160  ⟹  w=20 kg8w = 160 \implies w = 20\text{ kg}

The total weight of 1010 poles is 10×20=200 kg10 \times 20 = 200\text{ kg}.
Thus, Statement II alone is sufficient.

Since either statement alone is sufficient to determine the total weight, the correct option is C.

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