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# Data Sufficiency Question Bank

A data sufficiency question has a question followed by two statements. You will be expected to answer if the information provided in the statements is sufficient to answer the question. 20 out of the 100 questions in the TANCET MBA exam are Data Sufficiency questions. Data Sufficiency questions appear in other exams including the GMAT.

Some of the MBA entrance tests have 4 choices to each question and some such as the TANCET MBA have 5 choices to each question. Listed below are the two variants of answer choices (1) to (4) or (1) to (5) for the DS section.

## Four Choices

1. Choice 1 if the question can be answered using one of the statements alone, while the other statement is not sufficient to answer the question.
2. Choice 2 if the question can be answered using each of the statements independently
3. Choice 3 if both the statements together are needed to answer the question
4. Choice 4 if both the statements independently or taken together are not sufficient to answer the question

## Five Choices - TANCET MBA

1. Choice 1 if the question can be answered using statement (1) alone, while statement (2) is not sufficient to answer the question.
2. Choice 2 if the question can be answered using statement (2) alone, while statement (1) is not sufficient to answer the question.
3. Choice 3 if both the statements together are needed to answer the question
4. Choice 4 if the question can be answered using each of the statements independently
5. Choice 5 if both the statements independently or taken together are not sufficient to answer the question
1. How long will it take for two pipes A and B to fill an empty cistern if they worked alternately for an hour each?

1. Statement 1: Working alone, Pipe A can fill the cistern in 40 hours.
2. Statement 2: Pipe B is one third as efficient as Pipe A.

Concept: Pipes and Cisterns

2. What is the value of X, if X and Y are two distinct integers and their product is 30?

1. Statement 1: X is an odd integer.
2. Statement 2: X > Y

Concept: Number Properties

3. The set S of numbers has the 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 3 in S?

1. Statement 1: 1/3 is in S.
2. Statement 2: 1 is in S.
4. Is x = y?

1. Statement 1: = 4
2. Statement 2: (x - 50)2 = (y - 50)2

Concept: Algebraic Expressions

5. Is the smallest of five consecutive integers even?

1. Statement 1: The product of the five integers is 0.
2. Statement 2: The arithmetic mean of the five integers is 0.

Concept: Number Properties

6. Is X a prime number, given that X is a positive integer?

1. Statement 1: X4 > 3000
2. Statement 2: X4 < 10,000

Concept: Number Theory

7. Is m divisible by 6?

1. Statement 1: m is divisible by 3.
2. Statement 2: m is divisible by 4.

Concept: Divisibility

8. If a salesman received a commission of 3% of the sales that he has booked in a month, what was the sales booked by the salesman in November 2003?

1. Statement 1: The sales booked by the salesman in the month of November 2003 after subtracting the salesman’s commission was Rs.245,000
2. Statement 2: The value of the sales booked by the salesman in the month of November 2003 was 125 percent of the original purchase price of Rs.225,000.

Concept: Word Problems

9. If only people who paid the deposits attended the Management Seminar, how many people attended this year?

1. Statement 1: 70 people sent in deposits to attend the Management Seminar this year.
2. Statement 2: 60 percent of the people who sent deposits to attend the Management Seminar this year actually went.

Concept: Percentage

10. A car drives along a straight road from Sankarankoil to Coimbatore, going through Madurai along the way. What is the total distance travelled by the car from Sankarankoil to Coimbatore?

1. Statement 1: The distance from Sankarankoil to Madurai is 3/5 of the entire distance.
2. Statement 2: The distance from Madurai to Coimbatore is 12 km.

Concept: Speed Time

11. What is the value of x?

1. Statement 1: x2 = 4.
2. Statement 2: x < 0.

Concept: Number Properties

12. What is the value of xy?

1. Statement 1: x2 = 4.
2. Statement 2: y = 0.

Concept: Number Theory

13. Manju purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

1. Statement 1: Of the cans Manju purchased, the number containing diet soda is equal to the number not containing diet soda.
2. Statement 2: Of the cans Manju purchased, the number of cans containing diet soda is odd.
14. In 1988, was the number of people in city X greater than three times the number of people in city Y?

1. Statement 1: In 1998, there were approximately 1.1 million more people in city X than in city Y.
2. Statement 2: In 1988, the 300,000 Hindus in city X made up for 20 percent of its population and the 141,000 Buddhists in city Y made up 30 percent of its population.

Concept: Percents

15. If point X is directly north of point Y and directly west of point Z, what is the distance from point X to point Z?

1. Statement 1: The distance from Y to Z is 20 cm.
2. Statement 2: The distance from X to Y is equal to half the distance from Y to Z.

Concept: Trigonometry

16. What is the value of the integer W?

1. Statement 1: W is a multiple of 3.
2. Statement 2: 420 < W < 425

Concept: Number Properties

17. What is the surface area of the rectangular solid y?

1. Statement 1: The dimensions of one face of the rectangular solid y are 2 by 3.
2. Statement 2: The area of another face of the rectangular solid y is 6.

Concept: Mensuration

18. What is the sum of x, y and z?

1. Statement 1: 2x + y + 3z = 45
2. Statement 2: x + 2y = 30

Concept: Linear Equations

19. Is rectangular block B a cube?

1. Statement 1: At least two faces of the rectangular block B are squares.
2. Statement 2: The volume of the rectangular block B is 64.

Concept: Mensuration

20. A foot race will be held on Saturday. How many different arrangement of medal winners are possible?

1. Statement 1: Medals will be given for 1st, 2nd and 3rd place.
2. Statement 2: There are 10 runners in the race.

Concept: Permutation

21. If the first term of the data set {x, y, z} is 3, what is the third term?

1. Statement 1: The range of this data set is 0.
2. Statement 2: The standard deviation of this data set is 0.

Concept: Statistics

22. During a five-day period, Monday through Friday, the average (arithmetic mean) high temperature was 86 degrees Fahrenheit. What was the high temperature on Friday?

1. Statement 1: The average high temperature for Monday through Thursday was 87 degrees Fahrenheit.
2. Statement 2: The high temperature on Friday reduced the average high temperature for the week by 1 degrees Fahrenheit.

Concept: Averages

23. If a - b = c, what is the value of b?

1. Statement 1: c + 6 = a
2. Statement 2: a = 6

Concept: Simple Equations

24. Square G has sides of length 4 cm. Is the area of the Square H exactly one-half the area of Square G?

1. Statement 1: The length of the diagonal of Square H equals the length of one side of Square G.
2. Statement 2: The perimeter of Square H is twice the length of the diagonal of Square G.

Concept: Mensuration

25. Paul jogs at a constant rate for 80 minutes along the same route everyday. How long is his route?

1. Statement 1: Yesterday, Paul began jogging at 5 p.m.
2. Statement 2: Yesterday, Paul had jogged 5 km by 5:40 p.m. and 8 km by 6:04 p.m.

Concept: Speed Distance Time

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