# Simplification Important Formulas and Questions

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‘BODMAS’ Rule:

This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of given expression.

Here B – Bracket,
O – of,
D – Division,
M – Multiplication,
S – Subtraction

Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order (), {} and ||.

After removing the brackets, we must use the following operations strictly in the order:

(i) of (ii) Division (iii) Multiplication (iv) Addition (v) Subtraction.

2.Virnaculum (or Bar):

When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

3.Modulus of a Real Number:

Modulus of a real number a is defined as
|a| = a, if a > 0
-a, if a < 0

Thus, |5| = 5 and |-5| = -(-5) = 5

What will come at place of ?: (3/8 of 168)*15 ÷ 5 + ? = 549 ÷ 9 + 235

1. 189
2. 107
3. 174
4. 296
5. None of these

Solution: Using the BODMAS rule

(3*168÷8)*15 ÷ 5 + ? = 549 ÷ 9 + 235

(504÷8)*3 + ? = 61 + 235

63*3 + ? = 296

189 + ? = 296

? = 107 (Option 2)