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

Safalta Expert Published by: Himani Mehra Updated Thu, 29 Sep 2022 10:17 AM IST

## Highlights

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

Simplification is a very important topic under the Quantitative Aptitude section as a lot of questions are asked from this topic in various competitive exams. If you practice enough questions from this topic and your concepts are clear then you can easily score good marks in this section. There are different tricks to solve Simplification questions and they can make everything easier for you during the exam. Here we have provided a complete set of Simplification questions with solutions that you can practice and improve your hold over the topic.You can practice these questions and understand the kind of reasoning that Simplification as a topic requires. Join our Free Course of Reasoning for All 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:

## 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. 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.

## Word Game

1. Which word is similar to Rub
1/5 Source: safalta.com

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.

### Free Demo Classes

(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

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.

## Quantitative Skills Test

1. Solve: 20 + 4 ÷ 4
1/5
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

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:

Q1. Answer: 5 Solution:
(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

Q5. Answer: 5 Solution:
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

Q11. Answer: 4 Solution:
125 ÷ 2.50 +x2 -42 = 129
X2 = 129 - 8
X2 = 121
X =√121
X = 11

Q12. Answer: 3 Solution:
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

Q13. Answer: 5 Solution:
× 120% × 50% × 200 = x × 112.5
× 200 = x × 112.5
X = 2

Q14. Answer: 5 Solution:
190 + 170 – 219 + x = 278
360 – 219 + x = 278
141 + x = 278
X = 278 – 141
X = 137

Q15. Answer: 2 Solution:
(45 × 20÷ 10 + 21)/3 =
( 90 + 21)/3 =
X = 372 X = 1369

Q16. Answer : 3
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