Simplification Tips & Tricks – How to Solve Simplification – Approximation Problems & Quiz

Simplification Tips & Tricks | How to Solve Simplification Problems & Quiz How to Solve Simplification & Approximation Questions? Tips & Tricks, simplification tricks in Hindi, simplification problems with solutions pdf

Simplification Tips & Tricks: – At least five questions are asked from the topic ” Simplification & Approximate” in every bank exam, SSC Exam, Railway, CDS, CHSL, LDC, MTS and others Exam. Here we provide the simple toips and tricks to solved the Simplification question.

Check Tricks to save time & solve questions in few second. To save the time in the exam hall, you must check these tips and practice the previous paper, model paper to improve your speed and accuracy. These tricks can even be helpful while doing Data Interpretation {DI} questions also. This will cover all the theory needed to master Number System in Numerical Abilitys for Banking & SSC and other competitive Exams.

Tips and Tricks to Solve Simplification and Approximation Problem

Rules of Simplification

V → Vinculum

B → Remove Brackets – in the order ( ) , { }, [ ]

O → Of

D → Division

M → Multiplication

S → Subtraction

Digital Sum

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Digital sum is the sum obtained after adding all the digits of any given number successively.

Example: 129 = 1+2+9 = 12, 1 + 2 = 3.

Note: if any number multiplied by 9, then the digital sum is always 9.

Example: 6 ✕ 9 = 54, 5+4 = 9

Trick: In order to save time if we find digit 9 or multiples of 9, then 9 or its multiple can be neglected.

Example: 193 = 1 + 9 + 3 = 13 = 1 + 3 = 4  [ ‘9’ is omitted ]

‘9’ is omitted to reduce the calculation.

If we don’t omit ‘9’, then also the digital sum remains same.

Example: 293 = 2 + 9 + 3 = 14, 1 + 4 = 5 [answer remains same]

Let’s discuss one more example-

Classification

Percentage – Ratio

Common Percentage method

Example:)12 % of 555 + 15 % of 666= ?

Here 10 % is common 10 % of (555+666)=10 % of 1221=122.10

First part (10+2)=2% of 555= 11.10

Second part (10+5)=5% of 666= 33.30

So (122.10+11.10+33.30)= 166.50

Example: 1.2 % of 1225 + 2.4 % of 975=?

Read 12 % of 122.5 + 24 % of 97.5

Here 10 % is common 10 % of (122.5+97.5)=10% of 220=22

First part (10+2)=2% of 122.5=2.450

Second part (10+10+4)=10% 97.5 + 4 % of 97.5=9.75 + 3.900

So (22+2.45+9.75+3.90)= 38.10

B)Breaking Method

Example🙂  68 % of 4096 +72% of 5120 -23 % of 6931 -17 % of 1341= ?(Approximate)

:  (60+8)%of 4096 +(70+2) % of 5120 –(20+3)% of 6931 –(10+7)% of 1341

=2456.00 +327.68 +3584.00+102.40 -1386.20-207.93-134.10-93.87

=6470.08 -1821.47

=4648.61

≈450

Example: –  92% of 4890 -86 % of 5200 +42 % of 4150 = ?

=(90+2) % of 4890 + (40+2)% of 4150- (80+6) % of 5200

=4401+97.80+1660+83-4160-312

=1769.80

Base method

Example: – 95% of 4860 = ?

=(100-5)% of 4860 =4860-243 =4617

Whole Number method

Question: – 139.001 % of 1299.99 + 159.99 % of 1359.99= ? (Approximate)

Solution: – (140 *1300)/100 + (160 *1360)/100

=1820+2176=3996

Fraction method

Example: – 125 of 488 + .625 of 824 = ?

=12.5 % of 488 + 62.5 % of 824 =1/8 *488 + 5/8 * 824 =61 + 515 =576

Example: –  875 of 872 + .625 of 448=?

=87.5 % of 872 + 62.5 % of 448 =7/8 * 872 + 5/8 * 448 =763 + 280 =1043

Square & Cube Simplification Rule

• Square & Cube
• Square Root & Cube Root
• Factorization Method

Approximation

As the name suggests, if the given values are in points, then approximate the values to the nearest comfortable value so that there is not much effect on the final results.

Example: 159.99 ✕ 6.011

Solution: – 160 X 6 = 960

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