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

Dear Readers,we have given the Important Aptitude Shortcuts and Mind Tricks to Solve Simplification Questions in Aptitude Section. Candidates those who are preparing for the examination can also download this in PDF.
Simplification:
ย
ย ย ย ย ย ย ย ย ย ย  Simplification -large, complex numerical expression into a simpler form by performing various mathematical operations, in accordance with theย BODMASย rule.
Bย ย ย ร ย Stands for bracket and operation of brackets in the orderย ( ),ย ( ),ย { }ย andย [ ]
Oย ร ย Stands for โof โ(usage is x)
Dย ร ย Stands for division (/)
Mย ร ย Stands for multiplication (x)
Aย ย ร ย Stands for addition (+)
Sย ย ร ย Stands for subtraction (-)
For Important Fast Math Tricks-Click Below:
ยทย ย ย ย ย ย ย ย Important Shortcuts for Multiplication
ยทย ย ย ย ย ย ย ย Important Shortcuts for Division
ยทย ย ย ย ย ย ย ย Important Shortcuts for Subtraction
ยทย ย ย ย ย ย ย ย Important Shortcuts for Multiplication of 2 digits number

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 theย bracketsย should be simplified first.
STEP 3: If an expression contains โOfโ, multiplication, division, addition and subtraction, thenย ofย 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 expression containsย โOfโ and Division โ always do โOfโย and then do division
STEP 4: If expression involves all theย fourย operations,ย then multiplication and divisionย is carried outย firstย in the order in which they are given from left to right. The same rules are carried out for addition and subtraction
Learnย squares and cubes of number:
Squaresย (12ย ย to 302):
ยทย ย ย ย ย ย ย ย ย 12ย – 1
ยทย ย ย ย ย ย ย ย ย 22ย – 4
ยทย ย ย ย ย ย ย ย ย 32ย – 9
ยทย ย ย ย ย ย ย ย ย 42ย – 16
ยทย ย ย ย ย ย ย ย ย 52ย ย – 25
ยทย ย ย ย ย ย ย ย ย 62ย – 36
ยทย ย ย ย ย ย ย ย ย 72ย – 49
ยทย ย ย ย ย ย ย ย ย 82ย – 64
ยทย ย ย ย ย ย ย ย ย 92ย – 81
ยทย ย ย ย ย ย ย ย ย 102ย -100
ยทย ย ย ย ย ย ย ย ย 112ย ย 121
ยทย ย ย ย ย ย ย ย ย 122ย -144
ยทย ย ย ย ย ย ย ย ย 132ย – 169
ยทย ย ย ย ย ย ย ย ย 142ย – 196
ยทย ย ย ย ย ย ย ย ย 152ย – 225
ยทย ย ย ย ย ย ย ย ย 162ย – 256
ยทย ย ย ย ย ย ย ย ย 172ย – 289
ยทย ย ย ย ย ย ย ย ย 182ย – 324
ยทย ย ย ย ย ย ย ย ย 192ย – 361
ยทย ย ย ย ย ย ย ย ย 202ย – 400
ยทย ย ย ย ย ย ย ย ย 212ย – 441
ยทย ย ย ย ย ย ย ย ย 222ย – 484
ยทย ย ย ย ย ย ย ย ย 232ย – 529
ยทย ย ย ย ย ย ย ย ย 242ย – 576
ยทย ย ย ย ย ย ย ย ย 252ย – 625
ยทย ย ย ย ย ย ย ย ย 262ย – 676
ยทย ย ย ย ย ย ย ย ย 272ย – 729
ยทย ย ย ย ย ย ย ย ย 282ย โ 784
ยทย ย ย ย ย ย ย ย ย 292ย โ 841
ยทย ย ย ย ย ย ย ย ย 302ย – 900
ยทย ย ย ย ย ย ย ย ย 13ย – 1
ยทย ย ย ย ย ย ย ย ย 23– 8
ยทย ย ย ย ย ย ย ย ย 33ย – 27
ยทย ย ย ย ย ย ย ย ย 43ย – 64
ยทย ย ย ย ย ย ย ย ย 53ย – 125
ยทย ย ย ย ย ย ย ย ย 63ย – 216
ยทย ย ย ย ย ย ย ย ย 73ย – 343
ยทย ย ย ย ย ย ย ย ย 83ย – 512
ยทย ย ย ย ย ย ย ย ย 93ย – 729
ยทย ย ย ย ย ย ย ย ย 103ย – 1000
ยทย ย ย ย ย ย ย ย ย 113ย – 1331
ยทย ย ย ย ย ย ย ย ย 123ย – 1728
ยทย ย ย ย ย ย ย ย ย 133ย – 2197
ยทย ย ย ย ย ย ย ย ย 143ย – 2477
ยทย ย ย ย ย ย ย ย ย 153ย – 3375
Solution:ย From the above question if we know the square value of 212, then this question will be easily solved
STEP 1:ย 212ย = 441
STEP 2:ย 441/49= 9
STEP 3:ย 9ร6 = 54
STEP 4:ย Hence the answer for above series isย 54
ย
2) REMEMBER FREQUENTLY ASKED FRACTION VALUESย
ยทย ย ย ย ย ย ย ย ย 5% = 0.05
ยทย ย ย ย ย ย ย ย ย 6 ยผ % = 0.0625
ยทย ย ย ย ย ย ย ย ย 10% = 0.1
ยทย ย ย ย ย ย ย ย ย 12 ยฝ = 0.125
ยทย ย ย ย ย ย ย ย ย 16 ร (2/3)% = 0.166
ยทย ย ย ย ย ย ย ย ย 20 % = 0.2
ยทย ย ย ย ย ย ย ย ย 25 % = 0.25
ยทย ย ย ย ย ย ย ย ย 33 ร (1/3)%= 0.33
ยทย ย ย ย ย ย ย ย ย 40 % = 0.4
ยทย ย ย ย ย ย ย ย ย 50% = 0.5
ยทย ย ย ย ย ย ย ย ย 60% = 0.6
ยทย ย ย ย ย ย ย ย ย 66 ร (2/3) =0.66
ยทย ย ย ย ย ย ย ย ย 75 %= 0.75
ยทย ย ย ย ย ย ย ย ย 80 %= 0.8
ยทย ย ย ย ย ย ย ย ย 90 % = 0.9
ยทย ย ย ย ย ย ย ย ย 100% = 1
ยทย ย ย ย ย ย ย ย ย 125 % = 1.25
ยทย ย ย ย ย ย ย ย ย 150% = 1.5
ยทย ย ย ย ย ย ย ย ย 200 % = 2
ยทย ย ย ย ย ย ย ย ย 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 0.6ร250 + 0.25ร600
STEP 3:ย 0.6ร250= 150
ย ย ย ย ย ย ย ย ย ย ย  0.25ร600=150
STEP 4: 150+ 150 = 300
STEP 5:ย Hence the answer for above series isย 300
ย
3) Solve mixed fraction โ Multiplication
EXAMPLE 3: 2ร(3/5) ร 8ร(1/3) + 7 ยฝ ร 2ร(2/3)
STEP 1:ย 2ร(3/5) ร 8ร(1/3) = (13/5) ร (25/3) = 65/3
STEP 2:ย  + 7 ยฝ ร2ร(2/3)= 43/6 ร 12/5 = 86/5
STEP 3:ย 65/3 + 86/5 = 38ร(15/13)
STEP 4:ย hence the answer for above series isย 38ร(15/13)
ย
4) Solve Mixed Fraction addition
Example 4:ย 19ร(3/5) + 23ร(2/3) โ 24ร(1/5)
STEP 1:ย Take all the whole number outside the bracket i.e. 19+23 -24 = 18
STEP 2:ย Add fractions within bracket 18ร[(3/5) + (2/3) โ (1/5)] = 18(16/15)
STEP 3:ย  Hence the answer for above series isย 18(16/15)
ย
Example 5: (?)2ย +18ร12= 62ย ร5ร2
STEP 1:ย Multiply 18 ร 12 = 216
STEP 2:ย Square of 6 = 36
STEP 3:ย Multiply 36 ร5ร2= 360
STEP 4:ย (X)2ย +216 = 360
STEP 5:ย (X)2ย  = 360-216 = 144
STEP 6:ย Therefore X = 12

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