# Simplification Technique Through BODMAS Rule & BODMAS Formula ## Simplification Technique Through BODMAS Rule & BODMAS Formula

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## BODMAS RULE & SOLUTIONS

BODMAS‘ rule : BODMAS Formula defines the correct sequence in which the operations are to be carried out, so as to find out the value of a given expression.

Here

B stands for Bracket,

O stands for Of,

D stands for Division,

M stands for Multiplication,

A standsfor Addition, and

S stands for Subtraction.

First of all the brackets are to be removed, strictly in the order (), {}, [].

After removing the brackets, wemakeuse of the following mathematical operations& solve the problems following the same sequence:

1.Of

1. Division
2. Multiplication
4. Subtraction

Let us understand this concept with the help of some examples:

Eg: 1 If ‘W’ denotes ‘/’, ‘X’ denotes ‘*‘, ‘Y’ denotes ‘+‘, and ‘Z’ denotes ‘-‘; then 52 Y 24 W 3 Z 7 X 6 is equal to:

1. a) 18 b) 58 c) 352                     d) 114                   e) None of these

Solution:Given expression is 52 Y 24 W 3 Z 7 X 6

Replacing the alphabets with corresponding operators, we have

52 + 24 / 3 – 7 * 6
Applying the BODMAS rule, we have,

52 + (24/3) – 7 * 6
52 + 8 – (7*6)
= 18

For the practice sets on BODMAS & more, click on IBPS PO online classes

Eg: 2 If ?means ‘+’, ‘#’ means ‘-‘, ‘\$’ means ‘*‘; and ‘@’ means ‘/‘; then (9/17) ? (14/17) @ (28/51) # 3 \$ (4/17) is equal to:

1. a) 13/17 b) 15/38 c) 8/37                 d) 19/43       e) none of these

Solution:Given expression is (9/17) ? (14/17) @ (28/51) # 3 \$ (4/17)

Replacing the symbols with corresponding operators, we have

(9/17) + (14/17) / (28/51) – 3 * (4/17)

Now, applying the BODMAS rule:

(9/17) + [(14/17) / (28/51)] – [3 * (4/17)]
(9/17) + [(14/17) * (51/28)] – [3 * (4/17)]
(9/17) + (3/2) – (12/17)
(3/2) – (3/17) = (51-6)/34 = 45/34.

Eg: 3 If ‘W’ denotes ‘/’, ‘X’ denotes ‘+‘, ‘Y’ denotes ‘*‘; and ‘Z’ denotes ‘-‘; then (12% of 700) Z (4% of 700) W 4 X (15% of 200) Y 6 is equal to:

1. a) 232 b) 312 c) 257              d) 412              e) none of these

Solution:Given expression is (12% of 700) Z (4% of 700) W 4 X (15% of 200) Y 6

Replacing the symbols with corresponding operators, we have

(12% of 700) – (4% of 700) / 4 + (15% of 200) * 6

(12% of 700) – (4% of 700) / 4 + (15% of 200) * 6
84 – (28/4) + (30*6)
84 – 7 + 180 = 257

Learn Basic Concepts & Short Tricks on Number System for banking here..

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