We are providing the most important questions for GMAT data and aptitude sufficiency questions and answers to the problems and with clearÂ solutions download PDF 2017 CAT Data Sufficiency Questions and Answers PDF

**CAT Data Sufficiency Questions and Answers PDF (Set – 2):**

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**Question 1:**

Nandini paid for an article using currency notes of denominations Re. 1, Rs. 2, Rs. 5, and Rs. 10 using at least one note of each denomination. The total number of five and ten rupee notes used was one more than the total number of one and two rupee notes used. What was the price of the article?

A. Nandini used a total of 13 currency notes.

B. The price of the article was a multiple of Rs. 10.

a) The question can be answered by using one of the statements alone but not by using the other statement alone.

b) The question can be answered by using either of the statements alone.

c) The question can be answered by using both statements together but not by either statement alone.

d) The question cannot be answered on the basis of the two statements.

**Question 2:**

What are the values of m and n?

I. n is an even integer, m is an odd integer, and m is greater than n.

II. Product of m and n is 30.

a) The question can be answered by one of the statements alone and not by the other.

b) The question can be answered by using either statement alone.

c) The question can be answered by using both the statements together, but cannot be answered by using either statement alone.

d) The question cannot be answered even by using both statements together.

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**Question 3:**

Is Country Xâ€™s GDP higher than country Yâ€™s GDP?

I. GDPs of the countries X and Y have grown over the past 5 years at compounded annual rate of 5% and 6% respectively.

II. Five years ago, GDP of country X was higher than that of country Y.

a) The question can be answered by one of the statements alone and not by the other.

b) The question can be answered by using either statement alone.

c) The question can be answered by using both the statements together, but cannot be answered by using either statement alone.

d) The question cannot be answered even by using both statements together.

**Question 4:**

What is the value of X?

I. X and Y are unequal even integers, less than 10, and $$\frac{X}{Y}$$ is an odd integer.

II. X and Y are even integers, each less than 10, and product of X and Y is 12.

a) The question can be answered by one of the statements alone and not by the other.

b) The question can be answered by using either statement alone.

c) The question can be answered by using both the statements together, but cannot be answered by using either statement alone.

d) The question cannot be answered even by using both statements together.

**Question 5:**

On a given day a boat ferried 1,500 passengers across the river in 12 hr. How many round trips did it make?

I. The boat can carry 200 passengers at any time.

II. It takes 40 min each way and 20 min of waiting time at each terminal.

b) The question can be answered by using either statement alone.

c) The question can be answered by using both the statements together, but cannot be answered by using either statement alone.

d) The question cannot be answered even by using both statements together.

**Answers and Solutions for CAT Data Sufficiency Questions and Answers PDF (Set – 2):**

**Solutions:**

**1)** Answer (D)

Let the no. of 1,2,5,10 Rs notes be x,y,z,w.

According to given condition we have z+w=x+y+1 .

Now considering statement A

The possible values are 4+3=3+3+1 .

But in this case the data is not sufficient to find price of article as the both 5 and 10 rs can have any of the 4 or 3 notes.

Hence statement A is not sufficient.

Now considering statement B ,

The price of the article was a multiple of Rs. 10.

For this, more than 1 possibility of no. of notes of a particular value is there. Also 2 statements together can’t give the total price of the article.

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**2)** Answer (C)

Using either statement alone, we cannot answer the question.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. From the information given in both the statements, the value of m is 15 and n is 2. So, option c).

**3)** Answer (D)

Even by using both the statements, we do not know whether country X has a higher GDP than country Y because we do not know the absolute values of the GDPs 5 years back. So, the question cannot be answered.

**4)** Answer (A)

Using statement 2 alone, we cannot determine what the numbers are. But by using statement 1 alone, the only possible values for the two numbers are 6 and 2. So, option a) is the answer.

**5)** Answer (A)

The question asked is about the number of round trips made in 12 hours. This can be answered if we know the time of travel and the time of waiting. So, the question can be answered by using statement 2 alone but not by using statement 1 alone.