# Data Sufficiency Questions

Q:

In a certain code '13' means 'stop smoking' and '59' means 'injurious habit'. What is the meaning of '9' and '5' respectively in that code ?

I. '157' means 'stop bad habit'.

II. '839' means 'smoking is injurious'.

 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:

'59' means Injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So. '9' represents 'injurious'.Hence, I is sufficient.

Also, '59' means Injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.

30 5712
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.

12 4196
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.

5 4079
Q:

On which day in January, Subhas left for Germany ?

I. Subhas has so far spent 10 years in Germany.

II. Subhas friend Anil left for Germany on 15th February and joined Subhas 20 days after Subhass arrival.

 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:

Clearly, even from both the given statements, we cannot conclude the exact date of Subhas leaving for Germany. .

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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

7 3799
Q:

Manoj, Prabhakar, Mash and Kamal are four friends. Who among them is the heaviest ''

I. Prabhakar is heavier than Manoj and Kamal but lighter than Akash.

II.Manoj is lighter than Prabhakar and Mask but heavier than Kamal.

 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, P > M, P > K, A > P.

From II we have, M > K, P > M, A > P.

Combining the above two, we have : A > P > M > K.

Thus, Akash is the heaviest. So, both the statements are required.

6 3782
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