Data Sufficiency Practice Problems

8/8/2019 Data Sufficiency Practice Problems

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Data Sufficiency : 20 practice problems

Each question is followed by two statements, A and B. Answer each question using the following

instruction:

1) Statement (A) ALONE is sufficient, but statement (B) alone is not sufficient.

2) Statement (B) ALONE is sufficient, but statement (A) alone is not sufficient.

3) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE issufficient.

4) EACH statement ALONE is sufficient.

5) Statement (A) and (B) TOGETHER are NOT sufficient to answer the question

asked, and additional data are needed.

1. A group of friends contributed equally to pay Rs. 1000 for a dinner. How much did each

friend pay?

A : If there had been five friends more, each one would have paid Rs. 10 less than

before.

B : There were at least 20 members in the club, and each one paid no more than Rs.

30.

2. How many of p, q, r, s are odd, given that all of them are natural numbers?

A : ps + rq is odd

B : pr + qs is odd

3. Five students were added to a French class. Would the teacher be able to divide her

students evenly into a team (or teams) of 10?

A : If 25 students were added, the teacher could put everyone in teams of 10

without anyone left out.

B : The number of students in the class is currently not divisible by 10. 4. Ram, Mohan, and Sohan are three brothers. Find their age.

A : The difference between the ages of Ram and Mohan is six years and the

difference between the ages of Mohan and Sohan is also six years.

B : The sum of the ages of Ram, Mohan and Sohan is 63 years.

5. The set S of numbers has following properties:

I. If x is in S then 1/x is in S.

II. If both x and y are in S, then so is x + y.

Is 4 in S?

A : 1/4 is in S.

B : 1 is in S.

6. Is the largest of eleven consecutive integers an odd number?

A : The sum of the integers is even.

B : The sum of the integers is zero.

7. Is quadrilateral PQRS a parallelogram?



A : Sides PQ and QR are equal in length.

B : QR, RS, and PS are equal in length.

8. Is 900 the average score in GRE exam?

A : Half of the people who take the GRE score above 900 and half of the people score

below 900.

B : The highest GRE score is 1600 and the lowest score is 200.

9. Is N a multiple of 80 given that it is a natural number?

A : N is a multiple of 8.

B : N is a multiple of 10.

10. Roger takes 4.5 hours to row a distance of L km up the stream. Find his speed in still

water.

A : It takes him 2 hours to cover the distance of L km downstream.

B : He can cover a distance of 60 km downstream in 6 hours. 11. Among three real numbers a, b, and c, is c the smallest?

A : a is greater than at least one of b and c.

B : b is greater than at least one of a and c.

12. If x is a natural number find whether x(x2 – 1) is divisible by 24.

A : x is divisible by 3.

B : x is odd.

13. In a football match, the Italian team was behind by 2 goals with 5 minutes remaining. Did

they win the match?

A : Roberto Baggio, the Italian striker, scored 3 goals in the last five minutes of the match.

B : Brazil scored a total of 3 goals in the match.

14. Three partners, Amulya, Manya, and Kuber, divided a profit of Rs. 385 among themselves.

Who received the minimum amount?

A : Amulya received 2/9 of what Manya and Kuber together received.

B : Manya received 3/11 of what Amulya and Kuber together received.

15. Is │a – 2│ < 1?

A : │a│ > 1.

B : │a – 1│ < 2.

16. Is a = b?

A : (a + b)(1/a + 1/b) = 4.

B : a2

– b2

- 30a + 30b = 0



17. What are the values of a and b?

A : a and b are respectively odd and even integers, and a is greater than b.

B : Product of a and b is 30.

18. Is Varun's income higher than Mallika's income?

A : Incomes of Varun and Mallika have grown over the past five years at compounded

annual rate of 5% and 6% respectively. B : Five years ago, income of Varun was higher than that of Mallika.

19. Is the absolute value of a necessarily less than 5, given that a is a real number?

A : a(a + 5) < 0.

B : a(a – 5) > 0.

20. Warren Buffet bought shares of a company on Thursday, and sold them on Friday,

the next day. While buying and selling he had to pay the broker one percent of the

transaction value of the shares as brokerage. What was the profit earned by him per rupee

spent on buying the shares? A : The sales price of one share was 1.1 times that of its purchase price.

B : The number of shares purchased were 200.

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Data Sufficiency Practice Problems