Basic Simplification Rules for Competitive Exams

Basic Simplification Rules for Competitive Exams

Hi Aspirants!

Simplication is one of the most commonly asked topics in every competitive exam as well as banking exams, So we are posting some basic simplification rules for competitive exams.

Under this post "Basic Simplication Rules for Competitive Exams", We will read through the following subtopic:

  1. Simplification Definition and Examples
  2. Simplication Rules for Competitive Exams
  3. Simplification Maths for Bank Exams

Simplification Definition and Examples

Simplification in Mathematics refers to finding out an answer for complex mathematical expressions. The most commonly asked questions based on the simplification topic in any competitive exams are based on the simplification of rational expressions, numerical expressions, algebraic expressions, radical expressions, exponential expressions, linear expressions, logarithmic expressions, and trigonometric expressions.

Example: What will come at the place of ? : 3/5 of 25 + 5 - ? = 65

Simplification Rules for Competitive Exams

1. Simplification Rules- BODMAS: First and foremost rules for solving the simplification questions in any competitive exams is "Simplication Rules-BODMAS"

BODMAS refers to B for Braces or Brackets, O for of, D for Division, M for Multiplication, A for Addition and S for subtraction. BODMAS rules are arranged in the order of priorities operations to be performed on simplification problems for calculation.

Example: 15 X 3 + 4 - 5

To solve this type of question, we need to apply the BODMAS rule. Here X is used for multiplication, + is used for addition, - is used for subtraction.

Applying BODMAS rule, 15 X 3 + 4 - 5 = 45 + 4 -5 = 49 - 5 = 44

2. Replace of with multiplication: If "of" come in any expressions, replace of with multiplication sign. This will make your calculation a bit easier.

Example: 15 of 3 + 5 = 15 X 3 + 5 = 45 + 5 = 50

3. Round the numbers frequently: Sometimes large decimals are used in simplification questions to give a complex look to the problems in competitive exams. Always try to round off the decimals to the nearest integers.

Example: 2.336 X 4.993 + 6.245 

Rounding the numbers to nearest integers, 2 X 5 + 6 = 10 + 6 =16

Exception: We should not use rounding options if the numbers used in the questions are very close to each other.

Confused, let me explain to the concept. If for the above question, our options are 10, 16, 19, 25 and none of these respectively, then we can rounding the decimals to nearest integers but if our options are 15, 16, 17, 18 and none of these respectively, then avoid rounding the decimals to nearest integers. The reason behind it is that the numbers provided in the options of the question are very close to each other.

Simplification Maths for Bank Exams

In this section, we are posting some simplification questions with their solutions which are previously asked in various banking sector examination.

Question 1: 152.023 X 76.475 + 23.627 X 427.924 = ?
A. 18736.5
B. 19736.5
C. 20736.5
D. 21736.5

Solution: Rounding the decimals to nearest integers, we get 152 X 76 + 24 X 428
Using the BODMAS rule 11552 + 10272 = 21824

As 21736.5 is the nearest value to 21824, option D is correct.

Question 2: Find the value of a in the expression 625 - 36 / 25 - a = 31
A. 9
B. 8
C. 7
D. 6

Solution: As we know that x2 - y2 = ( x + y ) ( x - y ). So, 625 = 52 and 36 = 62 => a = 6, hence option D is correct.

Question 3: ( 12 X 26.2 X 44.4 ) + ( 16.2 X 12 X 24.4 ) = ?
A. 18702.72
B. 18975.55
C. 19275.33
D. 21220.45

Solution: As we know that the sum of two even numbers is always an even number. So, option A is correct.

Simplification Mathematics Tricks

There are some tricks which should be always kept in mind while solving questions based on simplification in competitive exams.

1. Always follow the BODMAS rule while solving the simplification question.
2. Try to round the decimals to the nearest integers.
3. Use basic formulas to solve questions.
4. Try to remember squares and cubes of numbers between 1 to 20.
5. Use shortcut tricks to add, subtract, multiply and divide the numbers.
6. Remember the values of some frequently used fractions and percentages

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