Mathematics Aptitude Tricks and Shortcuts For Competitive Exam SSC, Bank, Railway and Other Exams

Video Lecture is being provided to all of you for Math Aptitude Short Trick so that you can understand the Short Tricks of Mathematics through Video Lecture and you can use it in your Competitive Examination. Solving the Mathematics questions in the exam is also very important to solve the questions in a short time. To qualify any exam well, it is very important to solve the questions in a short time and this is only possible. When we know how to solve the questions through short tricks, we will tell you the short tricks of mathematics through this video lecture which will be useful in all other competitive examinations like your UPSC SSC banking railway, to solve your interview questions.

Maths Tricks and Shortcuts For Competitive Exams

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Quantitative Aptitude Math Shortcut Tricks Video Lecture

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Mathematics Aptitude Tricks and Shortcuts for Competitive Exams (SSC, Bank, Railway, etc.)

Mathematics is a crucial section in SSC, Banking, Railway, and other competitive exams. To score well, mastering shortcuts, tricks, and mental math techniques can save valuable time. Below are some essential tricks for fast calculations and problem-solving.

 1. Speed Multiplication Tricks

Multiplication by 5

Rule: Multiply by 10 and divide by 2.
Example:
 46 × 5 = (46 × 10) ÷ 2 = 230

Multiplication by 9

Rule: Multiply by 10 and subtract the number.
Example:
 23 × 9 = (23 × 10) – 23 = 207

Multiplication by 11

Rule: Add the digits and place the sum in the middle.
Example:
 36 × 11 = 3 (3+6) 6 = 396

 2. Square and Cube Shortcuts

Squaring a Number Ending in 5

Rule: Multiply the first digit by itself +1, then append 25.
Example:
352=3×4∣25=∗∗1225∗∗35^2 = 3 × 4 \mid 25 = **1225**352=3×4∣25=∗∗1225∗∗
752=7×8∣25=∗∗5625∗∗75^2 = 7 × 8 \mid 25 = **5625**752=7×8∣25=∗∗5625∗∗

Finding the Square of Any Number (Vedic Method)

Example: Find 43243^2432.
 Break as: (40+3)2(40 + 3)^2(40+3)2
=402+2(40×3)+32= 40^2 + 2(40×3) + 3^2=402+2(40×3)+32
$=1600+240+9=\ast \ast 1849\ast \ast$

 3. Quick Percentage Tricks

Finding 5% of a number → Divide by 20.
Finding 10% of a number → Divide by 10.
Finding 15% of a number → Find 10% and add half of it.

Example: Find 15% of 240
 10% = 24, Half of 10% = 12
 15% = 24 + 12 = 36

 4. Fastest Way to Solve Ratio & Proportion

Shortcut for Mixing Solutions (Alligation Method)
Example: A shopkeeper mixes 5 kg of rice at ₹40 per kg with 3 kg of rice at ₹60 per kg. Find the average price per kg.

Formula:

(40×5)+(60×3)(5+3)\frac{(40 × 5) + (60 × 3)}{(5+3)}(5+3)(40×5)+(60×3)​ =200+1808=3808=47.5= \frac{200 + 180}{8} = \frac{380}{8} = \mathbf{47.5}=8200+180​=8380​=47.5

 5. Time, Speed, and Distance Tricks

Speed Conversion:

1 km/hr = 5/18 m/s
1 m/s = 18/5 km/hr

Example: Convert 72 km/hr to m/s
72×518=2072 × \frac{5}{18} = 2072×185​=20 m/s

 6. Simple Interest & Compound Interest

Simple Interest (SI) Formula:

SI=P×R×T100SI = \frac{P × R × T}{100}SI=100P×R×T​

Shortcut: For 2 years,

SI=P×R×T100SI = P × R × \frac{T}{100}SI=P×R×100T​

Example: Find SI for ₹5000 at 8% for 2 years.

SI=5000×8×2100=800SI = 5000 × 8 × \frac{2}{100} = \mathbf{800}SI=5000×8×1002​=800

Compound Interest Shortcut (CI for 2 years)

CI=P×(1+R100)T−PCI = P \times \left(1 + \frac{R}{100}\right)^T – PCI=P×(1+100R​)T−P

Formula for 2 years:

CI=SI+SI×R100CI = SI + \frac{SI \times R}{100}CI=SI+100SI×R​

Example: ₹5000 at 8% for 2 years

CI=800+800×8100=800+64=864CI = 800 + \frac{800 × 8}{100} = 800 + 64 = \mathbf{864}CI=800+100800×8​=800+64=864

 7. Probability & Permutation-Combination Tricks

Probability Formula:

P(E)=Favorable OutcomesTotal OutcomesP(E) = \frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}P(E)=Total OutcomesFavorable Outcomes​

Example: If a bag contains 4 red and 6 blue balls, what is the probability of drawing a red ball?

P(R)=44+6=410=0.4P(R) = \frac{4}{4+6} = \frac{4}{10} = \mathbf{0.4}P(R)=4+64​=104​=0.4

Permutation vs Combination Shortcut

Permutation (Order matters):

P(n,r)=n!(n−r)!P(n,r) = \frac{n!}{(n-r)!}P(n,r)=(n−r)!n!​

Combination (Order doesn’t matter):

C(n,r)=n!r!(n−r)!C(n,r) = \frac{n!}{r!(n-r)!}C(n,r)=r!(n−r)!n!​

Example: Selecting 2 students from a group of 5:

C(5,2)=5!2!(5−2)!=5×42×1=10C(5,2) = \frac{5!}{2!(5-2)!} = \frac{5×4}{2×1} = \mathbf{10}C(5,2)=2!(5−2)!5!​=2×15×4​=10

 8. Shortcut for Calendar Problems

Key Codes:

• Year Code: 1600 = 6, 1700 = 4, 1800 = 2, 1900 = 0, 2000 = 6
• Month Code: Jan = 0, Feb = 3, Mar = 3, Apr = 6, May = 1, Jun = 4

Formula:

(Day+Month Code+Year Code+Last two digits of Year4)mod  7\left(\text{Day} + \text{Month Code} + \text{Year Code} + \frac{\text{Last two digits of Year}}{4} \right) \mod 7(Day+Month Code+Year Code+4Last two digits of Year​)mod7

Example: Find the day on 15th August 1947.
Using the formula, the answer is Friday.

 9. Number Series & Missing Number Tricks

Common Number Series Patterns:
Addition Series: 2, 4, 8, 16, ? (Multiply by 2)
Prime Number Series: 2, 3, 5, 7, ? (Next prime is 11)
Squares & Cubes: 1, 4, 9, 16, ? (Next is 52=255^2 = 2552=25)

 10. DI (Data Interpretation) Shortcuts

For Percentage Increase/Decrease:

% Change=New Value – Old ValueOld Value×100\% \text{ Change} = \frac{\text{New Value – Old Value}}{\text{Old Value}} × 100% Change=Old ValueNew Value – Old Value​×100

Example: Population increases from 5000 to 6000.

% Increase=6000−50005000×100=20%\% \text{ Increase} = \frac{6000 – 5000}{5000} × 100 = \mathbf{20\%}% Increase=50006000−5000​×100=20%

 Conclusion

Mastering these math tricks and shortcuts will help you save time and solve problems faster in competitive exams like SSC, Bank PO, Railway, and others.

Key Takeaway:
Practice these shortcuts daily for better speed and accuracy.
Mock tests and time management are essential.

 Want more topic-wise tricks? Let me know!