# Simplification Questions and Answers, Tricks and Tips to solve simplification related questions

Safalta Expert Published by: Himani Mehra Updated Sat, 15 Jul 2023 12:10 AM IST

## Highlights

Get to know important Simplification Questions here. Check questions along with solutions.

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Simplification Questions: A strong grasp of fundamental mathematical concepts taught in 9th and 10th grade is frequently vital for competitive exams. Simplification, in particular, carries significant importance in the Quant section, where emphasis is placed on basic questions. Candidates preparing for different examinations will come across numerous scoring questions in the Quant section. It is crucial for candidates to possess a clear comprehension of the concept and engage in regular practice to solve such questions effectively.

In the space below, you will find basic concepts related to Simplification questions, as well as a variety of example questions frequently asked in examinations. Join our Free Course of Reasoning for All Competitive Exams!

Classification of Simplification
Simplification Rules
Tips to Solve Simplification Questions
Simplification Questions for Competitive Exams

## Classification of Simplification

There are two types of Simplification:
• The first kind of simplification question is 'Finding the missing number,' and you must be familiar with both types.
• 'The relation between the numbers and simplifying the numbers using the principles of simplification' is the second type of simplification issue.
Let's look at several cases with detailed explanations:

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## Simplification Rules

The rules of simplification which should be known to all the candidates are as follows:
 V Vinculum B Remove Brackets - in the order ( ) , { }, [ ] O Of D Division M Multiplication A Addition S Subtraction

## Tips & Tricks to Solve Simplification/ Approximation Questions

Several fundamental tips and tactics may be employed to tackle the approximation and simplification problems to guarantee that the candidate does not lose marks in this area. Source: safalta.com

Take a look at the following suggestions:
• Always use the BODMAS rule to answer approximation or simplification issues.
• A rounded-off value is used for values that are supplied in a decimal format. For example, 45.62 may be read as 46, 22.10 as 22, and so on.
• Learning tables up to 20 may be quite beneficial to applicants and can help them save time.
• Remember the following fundamental formulas that might be utilized in such a situation:
• (a+b)2 = a2 + b2 + 2ab
• (a-b)2 = a2 + b2 – 2ab
• a2 – b2 = (a+b) (a-b)
• a3 + b3 = (a+b) (a2 – ab + b2)
• (a+b)3 = a+ b3 + 3ab (a+b)
• (a-b)3 = a3 – b3 – 3ab (a-b)
• Do not overcomplicate the problems, and make sure that any lengthy computations are ignored to complete the equations in the allotted time.

Also, practice questions from the following topics:

## Simplification of Important Questions For Competitive Exams

Here we have compiled a list of questions on Simplification which can be practiced by candidates. The solutions to these questions have been provided as well.

Q1. (42)2 – (?)2 = 3563 – 2055
18
28
36
42
16

Q2. ? = 5.8 × 2.5 + 0.6 × 6.75 + 139.25
157.30
157.80
158.40
160.30
None of these

Q3. 3889 + 12.952 – ? = 3854.002
47.095
47.752
47.932
47.95
None of these

Q4. 138.009 + 341.981 – 146.305 = 123.6 + ?
120.085
120.85
220.085
124.125
None of these

Q5. 832.58 – 242.31 = 779.84 – ?
179.57
199.57
295.05
198.125
None of these

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Q6. (25)2 + (16)2 – (18)2 – (4)2 + (√4)2 – (√121) = ?
534
544
540
542
None of these

Q7. (√196 + √225 + √961)÷3 + 15 - 5 = ?
34
44
40
42
30

Q8. (17)2 + √441 + (6)3 – (8)2 + 38
450
500
400
550
300

Q9. 17 × 8 + 18/3 - √361 + √196/7 + 4 × 19
205
200
201
208
191

Q10. 100 + 25 × 2.5 – 160 = ? + 40
220
240
200
250
225

Q11. 125 ÷ 2.50 + x2 - 42 = 129
7
5
9
11
8

Q12. 20% of 450 + 30% of 300 = ? × 3
58
68
60
54
48

Q13. × 120% × 50% × 200 = ? × 112.5
4
6
2
5
2

Q14. 190 + 170 – 219 + ? = 278
112
124
110
108
137

Q15. (45 × 20÷10 + 21) ÷ 3 =?
900
1369
961
1264
1225

Q16. 3600 ÷ 72 × 4 + 574 – 378 =?
596
498
496
898
449

Q17. 0.006 × 0.02 × 0.0036 ÷ (0.06 × 0.004) = x
0.018
0.0018
0.18
1.8
18

Q18. of (418 – 394) + 762 = x + 247
662
695
643
638
613

Q19. (3.03 + 7.07)2 – x = 5 × 1.04 × 6.8
66.65
65.66
61.13
72.17
59.15

Q20. × 20 = x

940
952
960
950
980

Q21. What approximate value will come in the place of question mark (?) in the following question? 5.997 × 21.659 + 369.2502 = ?

500

655

625

502

575

Q22. What approximate value will come in the place of question mark (?) in the following question? 39.093% of 304.806 + 51.0025% of 510.357 – 173.76 = ?

326

192

251

203

119

Q23. What should come in the place of question mark (?) in the following questions? 84368+65466−72009−13964=?

61481

62921

63861

64241

None of these

Q24. What should come in the place of question mark (?) in the following questions?

?/52 9 = 324/ ?

404

408

410

414

416

Q25. What should come in the place of question mark (?) in the following questions? 33^7.8 × 33^1.2 ÷ 33^5 = 33 × 33?

2.8

3

3.2

4

6

Q26. What should come in the place of question mark (?) in the following questions? 12% 𝑜𝑓 555+15% 𝑜𝑓 666=?

166.5

167.5

168.5

169.5

None of these

Q27. What should come in the place of question mark (?) in the following questions? 7/5 𝑜𝑓 58 + 3/8 𝑜𝑓 139.2=?

133.4

137.2

127.8

131.6

None of these

Q28. What approximate value will come in the place of question mark (?) in the following question? (32.298 × 10.025÷ 15.012 + 31.99) ÷ 2.26 =√?

784

689

676

729

900

Q29. What approximate value will come in the place of question mark (?) in the following question? (15.0159/ 8.167) × 104.0102% × 49.9025% × 240.0125 = ? × 12.158

14

16

21

15

18

Q30. What approximate value will come in the place of question mark (?) in the following question? 24.0423% of 449.759 + 31.9025% of 300.0234 = ? × 3.010

58

68

63

54

48

Q31. What approximate value will come in the place of question mark (?) in the following question? 124.856 ÷ 1.25 +?^2 -42.0156 = 139.0235

7

5

9

11

8

Q32. What approximate value will come in the place of question mark (?) in the following question? 499.998 + 12.003 × 13.5 – 160.365 = ? + 54.023

438

437

548

448

540

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Q33. What approximate value will come in the place of question mark (?) in the following question? of 5*1/8 of (5471.926 – 5408.002) + 762.985 = x + 246.886

762

795

843

892

913

Q34. What approximate value will come in the place of question mark (?) in the following question? (20.13)^2 + (12.96)^2 – (19.11)^2 = ?

203

213

208

218

212

Q35. What approximate value will come in the place of question mark (?) in the following question? ( ?/ 4 )+ 42.01 + 129.99 = 68.09 + 229. 01 + 76.99

860

920

790

808

735

Solutions:

(42)2 – (?)2 = 3563 – 2055
1764 - (?)2 = 1508
(?)2 = 1764 – 1508
(?)2 = 256
? = 16

5.8 × 2.5 + 0.6 × 6.75 + 139.25
14.50 + 4.05 + 139.25
157.80

3889 + 12.952 – ? = 3854.002
? = 3889 + 12.952 – 3854.002
? = 3901.952 – 3854.002
? = 47.95

138.009 + 341.981 – 146.305 = 123.6 + x x = (138.009 + 341.981) – (146.305 + 123.6)
479.99 – 269.905
210.085

832.58 – 242.31 = 779.84 – x x = (779.84 + 242.31) – 832.58
1022.15 – 832.58
189.57

(25)2 + (16)2 – (18)2 – (4)2 + (√4)2 – (√121) = ?
625 + 256 – 324 – 16 + 4 – 11
534

(√196 + √225 + √961)÷3 + 15 - 5 = ?
20 + 15 – 5
30

289 + 21 + 216 – 64 + 38
310 + 152 + 38

17 × 8 + 18/3 - √361 + √196/7 + 4 × 19
136 + 6 – 19 + 2 + 76
142 – 19 + 78
220 – 19
201

100 + 25 × 2.5 – 160 = x + 40
100 + 300 – 160 =x + 40
400 – 160 = x + 40 240 = x + 40 x = 240 – 40 x= 200

125 ÷ 2.50 +x2 -42 = 129
X2 = 129 - 8
X2 = 121
X =√121
X = 11

20% of 450 + 30% of 300 = X × 3 20/100 × 450 + 30/100 × 300 = X × 3
90 + 90 = X × 3
X= 180 / 3
X = 60

× 120% × 50% × 200 = x × 112.5
× 200 = x × 112.5
X = 2

190 + 170 – 219 + x = 278
360 – 219 + x = 278
141 + x = 278
X = 278 – 141
X = 137

(45 × 20÷ 10 + 21)/3 =
( 90 + 21)/3 =
X = 372 X = 1369

3600 ÷ 72 × 4 + 574 – 378 = ?
3600
× 4 + 574 – 378
200 + 574 – 378
2276 – 378
496

0.006 × 0.02 × 0.0036 ÷ (0.06 × 0.004) = x
= x
X = 0.0018

of (418 – 394) + 762 = x + 247
× 24 + 762 = x + 247
123 + 762 = x + 247
X = 885 – 247
X = 638

(3.03 + 7.07)2 – x = 5 × 1.04 × 6.8
(10.1)2 – x = 35.36
102.01 – x = 35.36
X = 102.01 – 35.36
X = 66.65

× 20 = x
× 20 = x
X = 960

Explanation:

Writing the approximate values to the nearest integer ⇒6 × 22 + 370 = ? ⇒132 + 370 = ? ⇒502

Explanation: Writing the approximate values to the nearest integer

⇒40/100 × 305 + 50 /100 × 510 – 174 = ?

⇒122 + 255 – 174 =?

⇒203

Explanation: 149834−85973=63861

Explanation:

66.6+99.9=166.5

Explanation: 81.2+52.2=133.4

Explanation: Writing the approximate values to the nearest integer

⇒ (33 × 10÷ 15 + 32) ÷ 2 =

⇒ (22 + 32) / 2 =

⇒54/2=

⇒X = 27

⇒X = 729

Explanation: Writing the approximate values to the nearest integer

⇒15/8 × 104% × 50% × 240 = x × 13

⇒15/8 × 104/100 × 50/100 × 240 = x × 13

⇒234 = x × 13

⇒X = 234/13

⇒X = 18

Explanation:

Writing the approximate values to the nearest integer

⇒24% of 450 + 32% of 300 = X × 3

⇒24/100 × 450 + 32/100 × 300 = X × 3

⇒108 + 96 = X × 3

⇒204 = X × 3

⇒X= 204 / 3

⇒X = 68

Explanation:

Writing the approximate values to the nearest integer

⇒125 ÷ 1.25 +x -42 = 139

⇒125/1.25=100

⇒100 + x – 42 = 139

⇒X = 139 + 42 – 100

⇒X =181 – 100

⇒X = 81

X = √81

⇒X = 9

Explanation:

Writing the approximate values to the nearest integer

⇒500 + 12 × 13.5 – 160 = x + 54

⇒500 + 162 – 160 =x + 54

⇒662 – 160 = x + 54

⇒502 = x + 54

⇒x = 502 – 54

⇒x= 448

Explanation:

Writing the approximate values to the nearest integer ⇒

5*1/8 of (5472 – 5408) + 762 = x + 247

⇒41/8 × 64 + 762 = x + 247

⇒328 + 762 = x + 247

⇒X = 1090 – 247

⇒X = 843

Explanation:

Writing the approximate values to the nearest integer

⇒ (20)^2 + (13)^2 – (19)^2 = ?

⇒400 + 169 – 361 = ?

⇒208

Explanation:

Writing the approximate values to the nearest integer

⇒?/4 + 42 + 130 = 68 + 229 + 77

⇒?/4 + 172 = 374

⇒?/4 = 374 – 172

⇒202 × 4

⇒ 808

Mastering simplification techniques boosts problem-solving skills. Understanding the order of operations, manipulating expressions, and breaking them down simplifies complex equations. Practice, stay updated, and be confident in approaching simplification questions for success.

## What are simplification questions?

Simplification questions are mathematical problems that require simplifying complex expressions or equations to their simplest form.

## Why are simplification questions important?

Simplification questions test an individual's ability to simplify mathematical expressions accurately and efficiently. These questions are commonly found in exams and assessments to assess problem-solving skills.

## What are some tricks and tips for solving simplification questions?

Here are a few helpful tricks and tips:
• Understand the order of operations (PEMDAS/BODMAS) to perform calculations correctly.
• Utilize the commutative, associative, and distributive properties to manipulate expressions effectively.
• Break down complex expressions into smaller parts and simplify each part individually.
• Look for common factors, cancel out terms, and combine like terms to reduce complexity.
• Practice regularly to improve speed and accuracy.

## How can I improve my performance in simplification questions?

Regular practice is key to improving your performance. Familiarize yourself with different types of simplification problems and work on solving them efficiently. Stay updated with new tricks and techniques by referring to reliable study materials or seeking guidance from teachers or online resources.

## Are there any specific strategies for solving simplification questions?

While there is no one-size-fits-all strategy, it helps to approach simplification questions systematically. Start by identifying the order of operations, simplify within parentheses first, then tackle exponents, followed by multiplication, division, addition, and subtraction. Break down complex expressions into manageable parts and simplify them step by step.

## Can simplification questions be applied in real-life situations?

Yes, simplification skills are applicable in various real-life situations, such as financial calculations, engineering problems, or data analysis. The ability to simplify complex expressions helps in making calculations more manageable and obtaining accurate results efficiently.

## How can I develop my simplification skills?

Practice regularly, solve a variety of simplification problems, and seek additional resources or guidance to strengthen your understanding. Work on understanding the underlying concepts and keep exploring new techniques and shortcuts to improve your skills over time.

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