Verbal Reasoning - Data Sufficiency - Discussion

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and

Give answer

  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.

2. 

Question: What will be the total weight of 10 poles, each of the same weight ?

Statements:

  1. One-fourth of the weight of each pole is 5 kg.
  2. 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 I alone is not sufficient
[C]. Either I or II is sufficient
[D]. Neither I nor II is sufficient
[E]. Both I and II are sufficient

Answer: Option C

Explanation:

From I, we conclude that weight of each pole = (4x5) kg = 20 kg.

So, total weight of 10 poles = (20 x 10) kg = 200 kg.

From II, we conclude that:

Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.

So, total weight of 10 pojes = (20 x 10) kg = 200 kg.


Saurabh said: (Sep 1, 2011)  
Answer should be both I and II are sufficient.

Senthil said: (Apr 4, 2012)  
I need explanation of Statement II
Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.

Harry said: (Nov 30, 2012)  
Explanation for statement II:

Let the weight of one pole be x

So x + x = a ( a is weight of two poles & each pole is of same weight)
i.e 2x = a

Similarly 3x = a + 20 ( total weight of three poles is 20 kilograms more than the total weight of two poles)

i.e 3x - 20 = a

So 2x = 3x - 20
x = 20.

Ponmuneeswariganesan said: (Jan 5, 2014)  
Is any technique is available to solve the data sufficiency problems?

Eswar said: (Jan 8, 2014)  
Any new methods for solving these questions?

Riya said: (Oct 12, 2015)  
Similarly 3x = a + 20 (Total weight of three poles is 20 kilograms more than the total weight of two poles).

i.e 3x-20 = a.

So 2x = 3x-20.

x = 20.

I am not clear with this step and what is the meaning of total weight of three poles is 20 kilograms more than the total weight of two poles.

Shahid said: (Sep 3, 2016)  
Statement one is alone to solve this.

Logically if 1/4 of weight is 5 Kg then obviously 4/4 is 20 kg. So 20 kg is the weight of one pole then 200 kg is the weight of 10 poles.

Suman Raj said: (Dec 11, 2016)  
From both I and II, we find that the weight of 10 poles. So, the answer should be both I and II are sufficient.

Durgesh said: (Dec 12, 2016)  
Answer should be both I and II are sufficient.

Priya said: (Jan 31, 2017)  
Can you please explain the equation :

Similarly 3x = a + 20 ( total weight of three poles is 20 kilograms more than the total weight of two poles).

Shekhar Patel said: (Feb 6, 2017)  
According to me, the answer is both l and ll are sufficient.

Abhishek Singh said: (May 5, 2017)  
The Answer should be both I and II are sufficient.

Subhasmita Jena said: (Jul 11, 2017)  
The answer should be both l and ll statement.

Dattu said: (Feb 22, 2018)  
St2: Wt of 3 poles = 20 kgs + wt of 2 poles.
wt of 3 poles - wt of 2 poles = 20,
wt of 1 pole = 20kgs,
finally , wt of 10 poles = 10 * 20 = 200 kgs.

Ans is both st1, st2 are sufficient.

Abhishek Kumar said: (Jun 28, 2018)  
For the second point, main point to look for is the weight of each pole are same, so the weight of 3 poles is more than the weight of two poles, it means they are giving the weight of each pole which is same, 20.

Ram Krishna said: (Aug 4, 2018)  
The Answer should be E.

Rohit Patil said: (Sep 17, 2018)  
The should be Both I and II are sufficient.

Parth said: (Oct 30, 2018)  
In statement I, what if the weight of the pole is not uniform throughout?

I mean: what if the total weight of the pole is not 4x5? There is a chance that the pole is tapered! Right?

Please correct me, If I am wrong.

Sheetal said: (Sep 3, 2020)  
The answer should be 1 and 2 are sufficient.

Someone, please explain to me in detail.

Pradyumna11 said: (Sep 25, 2020)  
Nice, thanks @Dattu.

Vinay said: (Jan 3, 2021)  
Here we are not combining both statements. Option C is right because by reading each statement individually we can conclude. Option E is only correct when we use two statements together to conclude.

Hemalatha said: (Jan 22, 2021)  
Option (A).

1/4 of each pole weight = 5 kg.
Then 1 pole weight = 5*4= 20 kg.
1 pole weight is = 20 kg.
Then 10 poles weight= 10 pole*20 kg.
That is = 200 kg.

Tanishq said: (May 1, 2021)  
The abswer should be E.

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