Arithmetic Reasoning Tricks

Logical Reasoning(Master ) Arithmetical Reasoning

Arithmetic reasoning helps us to select the required information from a given question and solve that question using some mathematical concepts. Such questions normally consist of a word problem which helps us to determine what the question actually is asking of us. Arithmetic operations are carried out when there is a requirement of solving with mathematical operations such as addition, subtraction, multiplication and division.

What is required of us is to have a look at the problem, check which concept of maths is to be applied and then arrive at the answer which is correct. Use our reasoning skills to analyze the information that can be useful and rule out the unnecessary data.

Filter out the relevant information, and find the correct answers.

So basically Arithmetic reasoning primarily deals with converting the word problem and transforming it into equations in order to reach a solution.

Arithmetic reasoning questions are asked from a number of areas:

Algebra
Ages
Ratio & proportion
Sequences & patterns
Percentages
HCF & LCM, Fractions
Games & Tournaments

Let us try an illustration: Nikhil is 2 times as old as Abhay. In the next 3 years, the sum of their respective ages will be 66. How old are they presently?

Solution: Let the age of Abhay = x. As, Nikhil is twice as old as Abhay, his age can be represented as 2x.

After 3 years, Abhay’s age will be x + 3, and Nikhil’s age will be 2x + 3. The sum of their ages will be 66.

So, the equation becomes:

x + 3 + 2x + 3 = 66

x = 20, so their respective ages will be : 20 years and 40 years.

So, we can solve the equation using one or two variables as per the question requires.

1. In a college, there are 34 girls who have car. If these constitute one fifth of the girls and the total no. of girls is two-fifth of the total no. of students in the college, what is the no. of boys in the college ?

A. 425

B. 220

C. 185

D. 255

Answer: Option D

Let the number of girls be x. So, (1/5) x = 34 or x = 34 x (5/1) = 170.
If total no. of students is y, then (2/5) y = 170 or y = 170 x (5/2) = 425.
Therefore, Number of boys in the college = (425 - 170) = 255

2. Joseph is now 1/4th times as old as his mother Ketty. Four years hence, his mother will be three times as old as her son. The age of his mother Ketty (in years) is

A. 32

B. 35

C. 8

D. 24

Answer: Option A

Let Joseph’s mother Ketty age be 4x years. Then, Joseph’s age = x years.
Four years hence, Joseph's age = (x + 4) years and Joseph’s mother Ketty age = (4x + 4) years.
So, 4x+4 = 3(x+4)
4x-3x= 12-4;
x = 8.
Joseph's mother Ketty age = 4x= 4 x 8=32 years

3. A director's total salary is sum of his rent charges, deposits and expenditure. During one month his deposits is equal to expenditure which is 2/3 of rental charges. What fraction of his total income saves in deposits?

A. 4/9 B. 5/4 C. 5/8 D. 2/7

Answer: Option D

Let Rent charges= Rs.x,
Deposits = Expenditure= Rs. 2/3 x
Salary =Rental Charges+ Deposits + Expenditure
= x + (2/3)x + (2/3)x = (7/3)x
Required Fraction = (2x / 3) x (3/7x) = 2/7

छोटे Courses बड़े Results

Master Arithmetical Reasoning

Prepare through Micro-courses