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Simplification

Simplification -large, complex numerical expression into a simpler form by performing various mathematical operations, in accordance with the BODMAS rule.

B à Stands for bracket and operation of brackets in the order ( ), ( ), { } and [ ]

O à Stands for ‘of ‘(usage is x)

D à Stands for division (/)

M à Stands for multiplication (x)

A à Stands for addition (+)

S à Stands for subtraction (-)

For Important Fast Math Tricks-Click Below:

Easiest Way to Choose Simplification Questions

STEP 1: Know about BODMAS Rule. Following are the list of priority given for brackets and signs.

STEP 2: If an expression Contains brackets, the expression within the brackets should be simplified first.

STEP 3:

If an expression contains ‘Of’, multiplication, division, addition, and subtraction, then of should be performed first then followed by multiplication or division.
Proceeding from left to right, addition, and subtraction are carried out in the order in which the sign of addition and subtraction are given.
If the expression contains ‘Of’ and Division – always do ‘Of’ and then do division.

STEP 4: If expression involves all the four operations, then multiplication and division are carried out first in the order in which they are given from left to right. The same rules are carried out for addition and subtraction.

Practice Simplification Mock Test

Learn squares and cubes of number:

Squares (1² to 30²):

· 1²– 1

· 2²– 4

· 3²– 9

· 4²– 16

· 5²– 25

· 6² – 36

· 7²– 49

· 8² – 64

· 9²– 81

· 10²-100

· 11²–121

· 12²-144

· 13² – 169

· 14²– 196

· 15² – 225

· 16²– 256

· 17² – 289

· 18²– 324

· 19² – 361

· 20² – 400

· 21² – 441

· 22²– 484

· 23² – 529

· 24²– 576

· 25² – 625

· 26² – 676

· 27² – 729

· 28² – 784

· 29² – 841

· 30² – 900

Click Here for Important Shortcuts to Find Square of Numbers

Click Here for Important Shortcuts to Take Square Root for a Number

Cubes (1³to 15³):

· 1³ – 1

· 2³– 8

· 3³ – 27

· 4³ – 64

· 5³ – 125

· 6³ – 216

· 7³ – 343

· 8³ – 512

· 9³ – 729

· 10³ – 1000

· 11³ – 1331

· 12³ – 1728

· 13³ – 2197

· 14³ – 2477

· 15³ – 3375

Click Here for Important Shortcuts to Take Cube Root for a Number

Example 1: 21² / 49 × 6

Solution: From the above question if we know the square value of 21², then this question will be easily solved.

STEP 1: 21²= 441
STEP 2: 441/49= 9
STEP 3: 9×6 = 54
STEP 4: Hence the answer for above series is 54

2) REMEMBER FREQUENTLY ASKED FRACTION VALUES

· 5% = 0.05

· 6 ¼ % = 0.0625

· 10% = 0.1

· 12 ½ = 0.125

· 16 × (2/3)% = 0.166

· 20 % = 0.2

· 25 % = 0.25

· 33 × (1/3)%= 0.33

· 40 % = 0.4

· 50% = 0.5

· 60% = 0.6

· 66 × (2/3) =0.66

· 75 %= 0.75

· 80 %= 0.8

· 90 % = 0.9

· 100% = 1

· 125 % = 1.25

· 150% = 1.5

· 200 % = 2

· 250 % =2.5

EXAMPLE 2: 60% of 250 +25% of 600

STEP 1: Know the values of 60% =0.6 and 25 % = 0.25
STEP 2: Now directly multiply 0.6×250 + 0.25×600
STEP 3: 0.6×250= 150
0.25×600=150
STEP 4: 150+ 150 = 300
STEP 5: Hence the answer for the above series is 300

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3) Solve mixed fraction – Multiplication

EXAMPLE 3: 2×(3/5) × 8×(1/3) + 7 ½ × 2×(2/3)

STEP 1: 2×(3/5) × 8×(1/3) = (13/5) × (25/3) = 65/3
STEP 2: + 7 ½ ×2×(2/3)= 43/6 × 12/5 = 86/5
STEP 3: 65/3 + 86/5 = 38×(15/13)
STEP 4: hence the answer for above series is 38×(15/13)

4) Solve Mixed Fraction addition

Example 4: 19×(3/5) + 23×(2/3) – 24×(1/5)

STEP 1: Take all the whole numbers outside the bracket i.e. 19+23 -24 = 18
STEP 2: Add fractions within bracket 18×[(3/5) + (2/3) – (1/5)] = 18(16/15)
STEP 3: Hence the answer for the above series is 18(16/15)

Example 5: (?)²+18×12= 6²×5×2

STEP 1: Multiply 18 × 12 = 216
STEP 2: Square of 6 = 36
STEP 3: Multiply 36 ×5×2= 360
STEP 4: (X)²+216 = 360
STEP 5: (X)² = 360-216 = 144
STEP 6: Therefore X = 12

Click Here to Download the Important Tricks to Solve Simplification Questions in PDF

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Important Shortcuts and Mind Tricks to Solve Simplification Questions in Aptitude Section – Download in PDF

Simplification

Practice Simplification Mock Test

Learn squares and cubes of number:

Get Quantitative Aptitude Practice Questions

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