In this article, we will cover the CSIR NET General Aptitude Most Important Formulas of Simplification. Aspiring candidates can check all the most important formulas of Simplification for the last-minute revision. Scroll down the full article to find out!
Formula Sheet On Simplification
Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Simplification questions are asked in many important examinations to check the ability of an aspirant to deal with numbers which can be in one of the following two types-
1) Sometimes, a calculation is given and one of the numbers is missing from the calculation. To find out the missing number, we have to approximate the given numbers or do the basic operations.
2) Sometimes all the numbers are given with some operations between
Key Points to Remember while Solving Simplification Question
- Replace ‘of’ by ‘Multiplication’
- Replace ‘/’ by ‘Division’
- Always do the operations in priority according to ‘BODMAS’
- Division & Multiplication have the same priority (Start from left)
- Addition & Subtraction have the same priority
- Rounding can be done to simplify problems
- When the given options are very close then rounding doesn’t help much
- Always look at the options before doing simplification that can help in the elimination of options.
Rules Related to Simplification
Rule-(I) Replace ‘of’ by ‘Multiplication’ & ‘/’ by ‘Division’.
Explanation: Whenever we find ‘of’ in a simplification problem, we can replace that with ‘multiplication (*)’. Similarly, ‘/’ can be replaced by ‘÷’.
Example: Find ¼ of 20
Solution: (¼) x 20 = 20÷4 = 5
Rule-(II) Always keep in mind the “BODMAS” rule. These operations have priorities in the same order as mentioned.
Explanation: Whenever we have more than one operation in the given calculation, we have to do the operations according to the priority specified by ‘BODMAS’
B-Bracket
O-Of (means multiplication)
D-Division
M-Multiplication
A-Addition
S-Subtraction
Example: Simplify: (2+3) *30
Solution: In this question, we have two Things-Bracket & Multiplication. According to the BODMAS rule, we have to solve the bracket first and not multiplication. So now coming to the bracket, we have only one operation-Addition, so we will do addition.
(2+3) *30 = 5*30
Now we have only one operation to do – Multiplication
5*30 = 150
Rule-(III) Multiplication & Division have the same priority (Do that operation first which is on left)
Explanation: Though division has more priority than multiplication according to ‘BODMAS’, we can perform any two operations first if multiplication is on the left.
Example: 8*30/15
8*30 ÷ 15
Solution: In this question, we have two things – Multiplication & Division. Multiplication is on the left So we can perform that first.
Doing Multiplication first:
240 ÷ 15
16
Dividing first:
8*2
16
Rule-(IV) Addition & Subtraction have the same priority.
Explanation: Though addition has more priority than division according to ‘BODMAS’, we can perform any two operations first.
Example: 30+40-15
Solution: In this question, we have two things – Addition & Subtraction. So we can perform any operation first as they have the same priority.
Doing Addition first:
70 – 15
55
Doing Subtraction first:
30 + 25
55
Rule-(V) Don’t hesitate in rounding the numbers to the nearest integers.
Explanation: Most of the time the numbers are given in such a way that you can round them quickly and get the answer (Rounding should be done or not, It can be realized by looking at the given options).
Example: (324.5*15) / (5.01*24.98)
Solution: (325*15) / (5*25)
=13*3
=39
Division Algorithm: Dividend = [ Divisor x Quotient ] + Remainder
Download PDF for Formula Sheets: Simplification
Check Out:
- Previous Year's Papers for CSIR-NET Exam: Attempt Here
- Study Notes for Part A: General Aptitude - Download PDF Here
- Study Notes for CSIR-NET Chemical Science - Download PDF Here
- Study Notes for CSIR-NET Life Science - Download PDF Here
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