Dear Readers, we have given the Important Aptitude Shortcuts and Mind Tricks to Solve Simplification Questions in Aptitude Section. Candidates who are preparing for the examination can also download Tricks to Solve Simplification Questions in PDF.
Simplification
Simplification -large, complex numerical expression into a simpler form by performing various mathematical operations, in accordance with the BODMASÂ rule.
B à Stands for bracket and operation of brackets in the order ( ), ( ), { } and [ ]
O à  Stands for ‘of ‘(usage is x)
DÂ Ã Â Stands for division (/)
MÂ Ã Â Stands for multiplication (x)
AÂ Â Ã Â Stands for addition (+)
SÂ Ã Â Stands for subtraction (-)
For Important Fast Math Tricks-Click Below:
- Important Shortcuts for Multiplication
- Important Shortcuts for Division
- Important Shortcuts for Subtraction
- Important Shortcuts for Multiplication of 2 digits number
- Important Shortcuts for Multiplication of 2 digits and 3 digits numbers
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 (13Â to 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
Solution:Â From the above question if we know the square value of 212, then this question will be easily solved.
- STEP 1:Â 212Â = 441
- STEP 2:Â 441/49= 9
- STEP 3: 9×6 = 54
- STEP 4: Hence the answer for above series is 54
2) REMEMBER FREQUENTLY ASKED FRACTION VALUESÂ
·         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
Get Quantitative Aptitude Practice Questions
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:Â 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:Â Square of 6 = 36
- STEP 3: Multiply 36 ×5×2= 360
- STEP 4:Â (X)2Â +216 = 360
- STEP 5:Â (X)2Â = 360-216 = 144
- STEP 6:Â Therefore X = 12
Click Here to Download the Important Tricks to Solve Simplification Questions in PDF
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