BankQuantitative AptitudeStudy Material

Learn Simplification Technique Through BODMAS Rule

Simplification is an easy topic. Simplification plays an important role in Banking, SSC, and other competitive examinations. In SBI Clerk, IBPS SO/Clerk/RRB, RBI & other competitive bank exams, this topic plays an important role. In the Aptitude Section, there are 10-15 questions asked from Simplification and Approximation. Here you will find the best simplification technique through the BODMAS rule.

BODMAS Rules

BODMAS RULES

 

The BODMAS acronym stands for:

  • Brackets (parts of a calculation inside brackets always come first) (())
  • Orders (numbers involving powers or square roots)
  • Division (/)
  • Multiplication (*)
  • Addition (+)
  • Subtraction (-)

Here is an example, to help you understand the BODMAS rule concept.

Example

What will come in place of question mark (?) in the following question?

Q. 1. (1280 + 3360) / ? = 330

  1. 14.
  2. 18.
  3. 25.
  4. 21.

Ans (1)

According to the BODMAS, first we need to solve the Brackets.

Here are the steps to explain this process.

(1280 + 3360) / ? = 330

4640/ ? = 330

4640/330 = 14

Q. 2. 78 – [5 + 3 of (25 – 2 × 10)]

  1. 56
  2. 59
  3. 62
  4. 58

Ans (4)

Here are the steps to explain this process.

78 – [5 + 3 of (25 – 2 × 10)]

= 78 – [5 + 3 of (25 – 20)], (Simplifying ‘multiplication’ 2 × 10 = 20)

= 78 – [5 + 3 of 5], (Simplifying ‘subtraction’ 25 – 20 = 5)

= 78 – [5 + 3 × 5], (Simplifying ‘of’)

= 78 – [5 + 15], (Simplifying ‘multiplication’ 3 × 5 = 15)

= 78 – 20, (Simplifying ‘addition’ 5 + 15 = 20)

= 58, (Simplifying ‘subtraction’ 78 – 20 = 58)

=58.

Multiplication Techniques

Types of Numbers

  1. Natural Numbers Counting Numbers are called Natural Numbers i.e. 1, 2, 3… are Natural Numbers.
  2. Whole Numbers All Counting Numbers together with zero (0) are called Whole Numbers.
  3. Integer Numbers: When the negative value of Natural Numbers is included with the whole number then the numbers are known as Integer Numbers i.e. -3,-2,-1, 0,+1,+2,+3…
  4. Even Numbers: Numbers that are divisible by 2 are known as Even Numbers i.e. 0, 2, 4, 6, 8… 
  5. Odd Numbers: Numbers that are not divisible by 2 are called Odd Numbers i.e. 1, 3, 5, 7… 
  6. Prime Numbers: Numbers that are divisible by themselves and by 1 (one) are known as Prime Numbers.
  7. Composite Numbers Numbers that are not Prime Numbers are known as Composite Numbers.

Important Algebraic Formulas:

BODMAS Rule

 Simplify the following questions:

  1. 6 x .6 x. 6 ?

 

 

 

3.

 

4. A Board 7 ft. 9 inch long is divided into 3 equal parts. What is the length of each equal parts?

5. 7500 + (1250 /50) = ?

6. (1/11)1111011 = ?

7. 

8. The value of 0.2 + 0.2 – 0.2 / 0.2 x (0.2 x 0.2) is ?

9. The value of 5.8 x 2.5 + .6 x 6.75 + 139.25 is ?

10.  The value of 152.416 / 18.72 / 6.28 is

Conclusion

Simplification is the most basic and common mathematical concept. Apart from the school curriculum, it is also included in Banking, SSC, and other competitive examinations. BODMAS Stands for Bracket, Orders, Division, Multiplication, Addition, Subtraction. Here in this post, we explained the BODMAS rule in detail!

All The Best!

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