# Data Sufficiency Questions

Q:

Among five friends who is the tallest ?

I. D is taller than A and C.

II. B is shorter than E but taller than D.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.

Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From I, we have : D > A , D> C,

From II, we have : E >B > D.

Combining the above two, we get : E > B> D> (A and C).

So, E is the tallest.

Clearly, both the statements are needed to answer the question

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Q:

In what proportion would Raj, Karan and Altaf distribute profit among them ?

I. Raj gets two-fifth of the profit.

II. Karim and Altaf have made 75% of the total investment.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question

Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

Even both the statements together are not sufficient to answer the question.

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Q:

What is Reena's rank in the class ?

I. There are 26 students in the class.

II. There are 9 students who have scored less than Reena.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.

Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From I and II, we conclude that there are 16 students above Reyna in rank. Thus, Reenats rank is 17th in the class So, both the statements are necessary.

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Q:

In which year was Rahul born ?

I. Rahul at present is 25 years younger to his mother.

II. Rahul's brother, who was born in 1964, is 35 years younger to his mother.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.

Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From both the given statements, we find that Rahul is (35 - 25) = 10 years older than his brother,

who was born in 1964, So. Rahul was horn in 1954

Thus, both the given statements are needed to answer the query.

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Q:

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

I. One-fourth of the weight of a pole is 5 kilograms.

II. The total weight of three poles is 20 kilograms more than the total weight of two poles.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question

Answer & Explanation Answer: C) If the data either in I or II alone are sufficient to answer the question;

Explanation:

From I, we find that the weight of one pole is (5 x 4) = 20 kg ,and so the weight of 10 poles is 200 kg.

Thus, I alone is sufficient.

From II. we have : (weight of 3 poles — weight of 2 poles) -= 20 kg or weight of one pole - 20 kg.

So. weight of 10 poles 200 kg.

Thus. II alone is also sufficient

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Q:

Is Arun taller than Sachin ?

I. Dinesh is of the same height as Arun and Sachin.

II. Sachin is not shorter than Dinesh.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question

Answer & Explanation Answer: A) If the data in statement I alone are sufficient to answer the question

Explanation:

From statement I, we can conclude that Dinesh. Arun and Sachin are of the same height So. Arun is not taller than Sachin. Thus, only statement I is sufficient to answer the question. .

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Q:

What day is the fourteenth of a given month

I. The last day of the month is a Wednesday.

II. The third Saturday of the month was seventeenth.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question

Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

Statement II reveals that 17th Was a Saturday and therefore, 14th was Wednesday So, only statement II is needed

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Q:

When is Manohar's birthday this year ?

I. It is between January 13 and 15, January 13 being Wednesday.

II. It is not on Friday.

 A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question

Answer & Explanation Answer: A) If the data in statement I alone are sufficient to answer the question

Explanation:

From statement I, we conclude that Manohar's birthday is on January 14. which is Thursday. this year.

So, only I is needed.