**Data Sufficiency Questions**

Practice Data Sufficiency Questions of verbal reasoning section from here. **Data Sufficiency Questions** with Solutions are given on this page, so that individuals facing any confusion while giving answers can learn the concept behind these questions. Data Sufficiency Questions and Answers for practice are also available here, so once the concept is clear up in your mind, solve those questions and match up your answers.

The meaning of Data Sufficiency is to check whether the data mentioned in the two statements is enough to answer out the given question or not. So, keeping the meaning in mind, let’s solve out these below given Data Sufficiency Questions.

**Data Sufficiency Questions**

**Data Sufficiency Questions With Answers**

In each of the questions below consists of a question and two statements numbered 1 and 2 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.

**Question 1) In which year was Rahul born ?**

Statements:

- Rahul at present is 25 years younger to his mother.
- Rahul’s brother, who was born in 1964, is 35 years younger to his mother.

(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 1)** (E)

__Solution__:

From both I and II, we find that Rahul is (35 – 25) = 10 years older than his brother, who was born in 1964. So, Rahul was born in 1954.

**Question 2)** **What will be the total weight of 10 poles, each of the same weight ?**

Statements:

- One-fourth of the weight of each pole is 5 kg.
- 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 2)** (C)

__Solution__:

From I, we conclude that weight of each pole = (4×5) 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.

**Question 3) The last Sunday of March, 2006 fell on which date ?**

Statements:

- The first Sunday of that month fell on 5th.
- The last day of that month was Friday.

(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 3)** (C)

__Solution__:

From I, we conclude that 5th, 12th, 19th and 26th of March, 2006 were Sundays.

So, the last Sunday fell on 26th.

From II, we conclude that 31st March, 2006 was Friday. Thus, 26th March, 2006 was the last Sunday of the month.

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**Question 4)** **How much was the total sale of the company ?**

Statements:

- The company sold 8000 units of product A each costing Rs. 25.
- This company has no other product line.

(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 4)** (E)

__Solution__:

From I, total sale of product A = Rs. (8000 x 25) = Rs. 200000.

From II, we know that the company deals only in product A.

This implies that sale of product A is the total sale of the company, which is Rs. 200000.

**Question 5)** **What is the code for ‘sky’ in the code language ?**

Statements:

- In the code language, ‘sky is clear’ is written as ‘de ra fa’.
- In the same code language, ‘make it clear’ is written as ‘de ga jo’.

(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 5)** (D)

__Solution__:

The only word common to I and II is ‘clear’ and as such, only the code for ‘clear’ can be ascertained from the given information.

**Question 6)** **Who is to the immediate right of P among five persons P, Q, R, S and T facing North ?**

Statements:

- R is third to the left of Q and P is second to the right of R.
- Q is to the immediate left of T who is second to the right of P.

(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 6)** (C)

__Solution__:

From I, we have the order: R, -, P, Q.

From II, we have the order: P, Q, T.

Clearly, each one of the above two orders indicates that Q is to the immediate right of P.

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**Question 7) B is the brother of A. How is A related to B ?**

Statements:

- A is the sister of C.
- E is the husband of A.

(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 7)** (C)

__Solution__:

B is A’s brother means A is either brother or sister of B. Now, each one of I and II individually indicates that A is a female, which means that A is B’s sister.

**Question 8)** **How many doctors are practising in this town ?**

Statements:

- There is one doctor per seven hundred residents.
- There are 16 wards with each ward having as many doctors as the number of wards.

(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 8)** (B)

__Solution__:

From I, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known.

From II, total number of doctors in town

= (Number of wards in town) x (Number of doctors in each ward)

= 16 x 16 = 256.

**Question 9) How many pages of book X did Robert read on Sunday ?**

Statements:

- The book has 300 pages out of which two-thirds were read by him before Sunday.
- Robert read the last 40 pages of the book on the morning of Monday.

(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 9)** (E)

__Solution__:

From I and II, we find that Robert read (300 x 2/3) i.e. 200 pages before Sunday and the last 40 pages on Monday.

This means that he read [300 – (200 + 40)] i.e. 60 pages on Sunday.

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**Question 10) How is Tanya related to the man in the photograph ?**

Statements:

- Man in the photograph is the only son of Tanya’s grandfather.
- The man in the photograph has no brothers or sisters and his father is Tanya’s grandfather.

(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 10)** (B)

__Solution__:

From I, we conclude that the man is the only son of Tanya’s grandfather i.e. he is Tanya’s father or Tanya is the man’s daughter.

From II, we conclude that the man’s father is Tanya’s grandfather. Since the man has no brothers or sisters, so he is Tanya’s father or Tanya is the man’s daughter.

**Data Sufficiency Practice Questions**

*Answers for these questions are available at the end.*

**Question 1)** **When is Manohar’s birthday this year ?**

- It is between January 13 and 15, January 13 being Wednesday.
- 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;

(E) if the data in both the statements together are needed

**Question 2)** **Is Arun taller than Sachin ?**

- Dinesh is of the same height as Arun and Sachin.
- 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;

(E) if the data in both the statements together are needed

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**Question 3)** **Buses are always punctual in city X. How long, at the most, will Mr. Roy have to wait for the bus?**

- Mr. Roy has come to the bus stand at 9 A.M.
- There is a bus at 10 A.M. and Possibly another bus even earlier.

(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;

(E) if the data in both the statements together are needed.

**Question 4) 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?**

1.’157′ means ‘stop bad habit’.

2.’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;

(E) if the data in both the statements together are needed.

**Question 5) On which day the flat was purchased by Rohan in 1996 ?**

- Certainly before 18th December, 1996 but definitely not before 15th December, 1996.
- Certainly after 16th December, 1996 but not later than 19th December, 1996.

(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;

(E) if the data in both the statements together are needed.

**Question 6) How is X related to Y ?**

Statements:

- Y and Z are children of D who is wife of X.
- R’s sister X is married to Ys father.

(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

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**Question 7)** What is the code for ‘sky’ in the code language?

Statements:

- In the code language, ‘sky is clear’ is written as ‘de ra fa’.
- In the same code language, ‘make it clear’ is written as ‘de ga jo’.

(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

**Question 8)** **How many children are there between P and Q in a row of children?**

Statements:

- P is fifteenth from the left in the row.
- Q is exactly in the middle and there are ten children towards his right.

(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

**Question 9)** How is T related to K?

Statements:

- R’s sister J has married Ts brother L, who is the only son of his parents.
- K is the only daughter of L and J.

(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

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**Question 10)** **How is J related to P ?**

Statements:

- M is brother of P and T is sister of P.
- P’s mother is married to J’s husband who has one son and two daughters.

(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

**Answers:**

Ans1) (A) |
Ans6) (C) |

Ans2) (A) |
Ans7) (D) |

Ans3) (E) |
Ans8) (E) |

Ans4) (C) |
Ans9) (E) |

Ans5) (E) |
Ans10) (B) |

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