Quantitative Aptitude Data
Sufficiency and Data Analysis

**Directions (1-4): Each of the questions below consists of a question of and two statements I and II. You have to decide whether the data provided in the statements are sufficient to answer the question and based on this give answer**

1) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient.

2) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient.

3) if the data either in statement I alone or in statement II alone are sufficient to answer the question.

4) if the data given in both statements I and II together are not sufficient to answer the question.

5) if the data in both the statements I and II together are necessary to answer the question.

1. The speed of which train is the slower?

I. Train A of length 250m crosses Train B of length 300m in 20 seconds moving towards each other.

II. Train B crosses a platform of length 200m in 50 seconds while Train A does so in 26 seconds.

2. The age of Rina and Hina are in the ratio of 7 : 5. What is the age of Rina?

I. The age of Rina and Tina are in ratio of 3 : 1.

II. After 7 years the ratio of the ages of Rina to Mena will be 4 : 3.

3. What is the capacity of a cylindrical tank with height 28m?

I. The radius of the base is half its height.

II. The area of the base is 61659m

^{2}.

4. What is the length of a train?

I. It crosses a pole in 10 seconds.

II. The speed of the train is 10m/second.

**Directions (5-9): Study the following information carefully and answer the given questions:**

In a group of 250 people, 64 people like only Football, 42 people like only Hockey and 1/10 of the total number of people like only Tennis. 8% of the total number of people like Hockey and Football but don't like Tennis. 1/5 of the total number of people don't like any type of game. 26 people like Football and Tennis but don't like Hockey. The number of people who like all types of game is 1/4 of the number of people who like only Football.

5. How many people like only one type of game?

1) 131

2) 126

3) 121

4) 117

5) 125

6. How many people like exactly two types of game?

1) 65

2) 66

3) 76

4) 86

5) None of these

7. How many people are there who like Tennis and Hockey but don't like Football?

1) 15

2) 7

3) 22

4) 20

5) 18

8. How many people are there who like at least two types of game?

1) 79

2) 69

3) 65

4) 59

5) None of these

9. How many people are there who like at most one type of game?

1) 165

2) 161

3) 150

4) 181

5) 171

10. A bag contains 7 red and 8 blue balls. Balls are drawn one by one. Two draws of one ball each are made without replacement. What is the probability that one of them is red and the other is blue?

1) 8/15

2) 7/15

3) 1/105

4) 22/105

5) None of these

**Answers:**

1.
5

2.
4

3.
3

4.
5

5.
1

6.
5

7.
2

8.
2

9.
4

10.
1

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