Quantitative Aptitude

Quant Quiz

Directions (Q. 1-5): Each of the questions below consists of a question and two statements numbered I and II 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—

1) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
2) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
3) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
4) if the data, in both the 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. What are the values of ‘x’, ‘y’ and ‘z’?
I. x + y + 3z = 5
II. x + y = 2

2. Find the area of a rectangle.
I. Its length is 5m.
II. Its breadth is 2m.


3. What are the speeds of trains ‘A’ and ‘B’?
II. The speed of train ‘A’ is twice the speed of ‘B’.
II. Train A passes train B in 9 sec and its length is 100 m.

4. Find the ages of son and father.
I. The father’s age is twice the son’s age.
II. The sum of their ages is 60 years.

5. What is the number of students present in a class?
I. The average age of students in a class is 12 years and the total age of all the students in the class is 300 years.
II. The age of the oldest student is 16 years and that of the youngest student is 10 years.

Directions (Q. 6-10) : Study the following table carefully to answer these questions.

Population (in lakhs) of three states over the years

6. What is the average population of state B for all the years together?
1) 3.5 lakhs
2) 3.75 lakhs
3) 3.85 lakhs
4) 3.6 lakhs
5) None of these

7. What is the percentage increase in population of state A from 2005 to 2006?
1) 5
2) 5 2/3
3) 6
4) 6 2/3
5) 5 3/4

8. What was the difference between the total population of all three states in 2007 and 2008 respectively?
1) 1,10,000
2) 90,000
3) 1,15,000
4) 95,000
5) None of these

9. What was the average population of all three states in 2009?
1) 5.25 lakh
2) 4.5 lakh
3) 5.5 lakh
4) 4.2 lakh
5) None of these

10. What is the ratio between total population of all three states in 2007 and 2008 respectively?

1) 155 : 144
2) 15 : 13
3) 13 : 15
4) 133 : 144
5) 144 : 155

Answers:

1. 4

2. 5; Area = length × breadth

3. 4

4. 5

Let the age of son be x

father’s age = 2x

x + 2x = 60

x = 20, and 2x = 40

5. 1; 

No. of students = 300/12 = 25

‘II’ is not required.

6. 2

Average population of the state B = (3.2 + 3.6 + 3.4 + 3.8 + 4.1 + 4.4)/6 lakh

= 22.5/6 lakh

= 3.75 lakh

7. 4

Required percentage increase = (4.8 - 4.5)/4.5 * 100 = 6 2/3%

8. 1

Required difference

= [(5.4 – 5.2) + (3.8 – 3.4) + (6.3 – 5.8) ] lakh

= 1.1 lakh = 110000

9. 3

Average population of three states in 2009

= {(5.8 + 4.1 + 6.6)/3} lakh = 16.5/3 lakh = 5.5 lakh

10. 5

Required ratio = (5.2 + 3.4 + 5.8) : (5.4 + 3.8 + 6.3)

= 14.4 : 15.5 = 144 : 155