HOW TO SOLVE QUANTITATIVE APTITUDE PROBLEMS FASTER

About the topic "How to solve quantitative aptitude problems faster"

"How to solve quantitative aptitude problems faster" is a big question having had by all the students who get prepared for competitive exams and study quantitative aptitude. For some students, solving quantitative aptitude problems is  never being easy and always it is a challenging one.  

How to solve quantitative aptitude problems faster?

The answer  for the question "How to solve quantitative aptitude problems faster ?" is purely depending upon the topic in which we have problems. The techniques and methods we apply to solve  problems in quantitative aptitude will vary from problem to problem.

The techniques and methods we apply to solve a particular problems in a particular topic of quantitative aptitude will not work for another problem found in some other topic.

For example, the methods we apply to solve the word problems in equations will not work for the word problems in mensuration.

Because, in equations, we will solve most of the problems without any diagram. But, in mensuration, for each word problem, we have to draw a diagram. Without diagram, always it is bit difficult to solve word problems in mensuration. 

Even though we have different techniques to solve quantitative aptitude problems in different topics, let us see the steps which are most commonly involved in "How to solve quantitative aptitude problems faster"

Steps involved in solving quantitative aptitude problems faster 

To get answer for the question "How to solve quantitative aptitude problems faster ?", we have to be knowing the following steps explained.

Step1:

Understanding the question is more important than any other thing. That is, always it is very important to understand the information given in the question rather than solving.

Step2:

If it is possible, we have to split the given information. Because, when we split the given information in to parts, we can understand them easily.

Step3:

Once we understand the given information clearly, solving the quantitative aptitude problems would not be a challenging work. 

Step4:

When we try to solve quantitative aptitude problems, we have to introduce "x" or "y" or some other alphabet for unknown value (=answer for our question). Finally we have to get value for the alphabet which was introduced for the unknown value.

Step5:

If it is required, we have to draw picture for the given information. Drawing picture for the given information will give us a clear understanding about the question.

Step6:

Using the alphabet introduced for unknown value, we have to translate the English statement (information) given in the question as mathematical equation.

In translation, we have to translate  the following English words as the corresponding mathematical symbols.

                                  of -------> x (multiplication)

am, is, are, was, were, will be, would be --------> = (equal)

Step7:

Once we have translated the English Statement (information) given in the question as mathematical equation correctly, 90% of the work will be over. The remaining 10% is just getting the answer. That is solving for the unknown. 

These are the steps most commonly involved in "How to solve word problems in mathematics".

Let us look at, how these steps are involved in solving the problem given below in the topic "Problems on Ages".

Problem:

The age of a man is three times  the sum of the ages of his two sons and 5 years hence his age will be double the sum of their ages. Find the present age of the man.

Solution:

Step 1:

Let us understand the given information. There are two information given in the question. 

1. The age of a man is three times the sum of the ages of his two sons. (At present)

2. After 5 years, his age would be double the sum of their ages. (After 5 years)

Step 2:

Target of the question: Present age of the man = ?

Step 3:

Introduce required variables for the information given in the question. 

Let "x" be the present age of the man.

Let "y" be the sum of present ages of two sons.

Clearly, the value of "x" to be found. Because that is the target of the question.

Step 4:

Translate the given information as mathematical equation using "x" and "y". 

First information:  

The age of a man is three times the sum of the ages of his two sons.

Translation:

The Age of a man  --------> x

                               is --------> =

three times sum of the ages of his two sons --------> 3y

Equation related to the first information using "x" and "y" is

                                         x = 3y ----(1)

Second Information:

After 5 years, his age would be double the sum of their ages.

Translation:

Age of the man after 5 years --------> x + 5

Sum of the ages of his two sons after 5 years --->y+5+5 = y +10

(Here we have added 5 two times.The reason is there are two sons)

Double the sum of ages of two sons --------> 2(y+10)

                                 would be --------> =

Equations related to the second information using "x" and "y" is

                                     x + 5 = 2(y+10) ----(2)

Step 5:

Solve equations (1) & (2) :

Plug x = 3y in equation (2) ===>  3y + 5 = 2(y+10)

                                                            3y + 5 = 2y + 20

                                                              y = 15

Plug y = 15 in equation (1) ===> x = 3 (15)

                                                           x = 45

Therefore, the present age of the man is 45 years.

To know more about "How to solve quantitative aptitude problems faster" in different topics, please click the below links.

1. Problems on Simple Equations

2. Problems on Simultaneous Equations

3. Problems on Quadratic Equations

4. Problems on Permutations and Combinations

5. Problems on H.C.F and L.C.M

5. Word Problems on HCF and LCM

6. Problems on Numbers

7. Problems on Time and Work

8. Problems on Trains

9. Problems on Time and Work.

10. Problems on Ages.

11. Problems on Ratio and Proportion

12. Problems on Allegation and Mixtures.

13. Problems on Percentage

14. Problems on Profit and Loss

15. Problems Partnership

16. Problems on Simple Interest

17. Problems on Compound Interest

18. Problems on Calendar

19. Problems on Clock

20. Problems on Pipes and Cisterns

21. Problems on Modular Arithmetic

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