Simplification and Approximation is one of the important parts of the quantitative aptitude section of the banking PO examination. Every year around 4 to 5 questions are from this section. Therefore, let us understand this one with the help of an example. Also, find out some important rules to solve these types of questions quickly and some example questions to solve.

Simplification and Approximation

Simplification and approximation topics are some of the easiest yet tricky sections of quantitative aptitude. The main idea of this type of question is to test the ability of the students to work with numbers and basic calculations. The question for matric by adding long decimals numbers or roots.

Also Read: IBPS PO Bank Preference List 2021: Factors to Consider Before Choosing the BankΒ 

BODMAS (Bracket, Order, Division, Multiplication, Addition, and Subtraction)

The basic way to start solving simplification approximation questions is to understand BODMAS. This is a basic sequence of solving such a type of question to find a correct answer.

B- Brackets

O- Order (Powers, Roots, etc)

D- Division

M- Multiplication

A- Addition

S- Subtract

Step 1: First of all you should start by solving brackets. There are three different types of brackets and their order in solving them too. First (common bracket), secondly {curly bracket} and at last [rectangular bracket].

Step 2: After this, you have to solve exponents. For example, power, roots, etc.

Step 3: Then you should start solving division followed by multiplication. This should be done from left to right.

Step 4: Lastly you should source addition and subtraction from left to right.

Also Read: Syllogism Questions for Bank PO: Check Out the Best Questions for Practice and High Scores

Approximation Questions for Bank PO

IBPS PO 2019

Directions (1-5): What approximate value should come in place of question mark (?) in the following question? Note:- (you are not expected to calculate the exact value.)

Q1. 𝟏𝟏𝟏. 𝟎𝟏 + πŸ’πŸ. πŸπŸ‘ + (πŸ’. πŸ—πŸ”) 𝟐 + (𝟐. πŸŽπŸ—) 𝟐 =?

(a) 195

(b) 162

(c) 181

(d) 170

(e) 189

Q2. πŸπŸŽπŸ—. πŸŽπŸ•βˆš?βˆ’ πŸ”πŸ 𝟐𝟏.𝟎𝟐 Γ—? = πŸ’πŸ•. πŸ—πŸ”βˆš?

(a) 441

(b) 169

(c) 250

(d) 121

(e) 324

Q3. 1332.89 + 171.928 + 17.01 + ?Β² = 1690.87

(a) 27

(b) 17

(c) 9

(d) 13

(e) 19

Q4. 150.09% of 20 + πŸ‘πŸπŸ.πŸ— πŸπŸ•.𝟎𝟐 + √? = (πŸ–. πŸ—πŸ”)Β²

(a) 984

(b) 1024

(c) 1360

(d) 1225

(e) 674

Q5. 56.08% of 149.92 + βˆšπŸπŸ–. 𝟎𝟐 Γ— πŸ”. πŸ—πŸ– βˆ’ 𝟏𝟏 𝟏 πŸ— % 𝒐𝒇 πŸ—πŸ—πŸ–. πŸ— =?

(a) 17

(b) -13

(c) 8

(d) -16

(e) 22

Solution

1- C

2- A

3- D

4- B

5- B

IBPS PO 2017

Directions (6-11): Find out the approximate value of? in the following questions.

Q6. (√80. 997 – √2.001 )* (√120.90 +Β  √16.02 ) =?

(a) 50

(b) 60

(c) 75

(d) 70

(e) 55

Q7. 55.01 – 345.02 Γ· 22.99 =2*?

(a) 20

(b) 25

(c) 22

(d) 15

(e) 18

Q8. √3099.985/62.001+14.001=?

(a) 7

(b) 8

(c) 6

(d) 9

(e) 5

Q9. ( 111.99*5)/14.02=11.002+?

(a) 34

(b) 19

(c) 39

(d) 29

(e) 38

Q10. 24.97% of 84.01 Γ· 6.995 = ?

(a) 3

(b) 4

(c) 5

(d) 7

(e) 6

Q11. (184.002-29/5) *29.99=?

(a) 4950

(b) 4820

(c) 5550

(d) 5340

(e) 5260

Solution

#6. B

#7. A

#8. B

#9. D

#10. A

#11. D

IBPS PO 2016

Directions (12-17): What approximate value should come in the place of question mark (?) in the questions given below ?

Q12. 39.95% of 265 + 35.2% of 178 = 50% of ? + ?% of 80

(a) 80

(b) 95.5

(c) 130

(d) 125.5

(e) 115

Q13.√0.25*0.16  of 15/7 = ?

(a) 0.43

(b) 0.76

(c) 0.91

(d) 0.20

(e) 0.62

Q14. ?/528.99=324.02/?

(a) 404

(b) 408

(c) 410

(d) 414

(e) 416

Q15. (682% of 782.01 )/856.05=?

(a) 4.50

(b) 10.65

(c) 2.55

(d) 8.75

(e) 6.25

Q16. 15.5% of 849 + 24.8% of 651 = ?

(a) 295

(b) 330

(c) 270

(d) 375

(e) 220

Solution

#12. C

#13. A

#14. D

#15. E

#16. A

SBI PO 2018

Direction (17-21): Find the value of (?) in the following approximation questions:

Q17. 𝟐? = πŸ‘πŸ. 𝟎𝟏 Γ· πŸπŸπŸ–. 𝟎𝟏 Γ— πŸπŸŽπŸπŸ‘. πŸ—πŸ— Γ· πŸ•. πŸ—πŸ—

(a) 7

(b) 3

(c) 4

(d) 5

(e) 8

Q18. πŸ‘πŸ‘πŸ—.πŸ—πŸ—/ ? = βˆšπŸπŸ’πŸ‘. πŸ—πŸ— + βˆšπŸ”πŸ’. 𝟎𝟏

(a) 17

(b) 20

(c) 10

(d) 34

(e) 40

Q19. 34.02% of 550.09 Γ· ? = 297.07 Γ· βˆšπŸ•πŸπŸ–. πŸ—πŸ“

(a) 14

(b) 21

(c) 8

(d) 27

(e) 17

Q20. (? Γ· 9.97) Γ— 12.08 = 20.12% of 1319.97

(a) 220

(b) 240

(c) 260

(d) 280

(e) 200

Q21. ? % 𝒐𝒇 πŸπŸ•πŸ—. πŸ—πŸ— = √(πŸπŸ’. 𝟎𝟐) 𝟐 + (πŸπŸ•. πŸ—πŸ–) 𝟐 + πŸ”πŸŽ. 𝟎𝟏% 𝒐𝒇 πŸ”πŸ“πŸ—. πŸ—πŸ–

(a) 80

(b) 60

(c) 40

(d) 20

(e) 10

Solution

#17. D

#18. A

#19. E

#20. A

#21. D

SBI PO 2017

Directions (22-26): What approximate value should come in place of the question mark (?) in the following questions? Note: (You are not expected to calculate the exact value.)

Q22. 24.001 Γ— 14.999 Γ— 9.998 = ?

(a) 4200

(b) 3000

(c) 3600

(d) 4000

(e) 2500

Q23. 14.003√?+ 53.0345√? = 67 26.999 Γ— (? )

(a) 801

(b) 720

(c) 729

(d) 721

(e) 744

Q24. 10.11Γ—36.93+√48.875 Γ— 19.99 = 1 is7.231 Γ— √?

(a) 25

(b) 144

(c) 225

(d) 625

(e) 900

Q25. 1898.88 Γ· 189.921 + 9.99 + (? ) 2 = 83.89

(a) 3

(b) 4

(c) 5

(d) 8

(e) 7

Q26. 39.7% π‘œπ‘“ 801 βˆ’ 250.17 = ? βˆ’63% π‘œπ‘“ 801

(a) 800

(b) 500

(c) 574

(d) 760

(e) 550

Solution

#22. C

#23. C

#24. E

#25. D

#26. C

Time and Work Questions for Bank PO

IBPS PO 2017

Q1. A alone can do a work in 24 days. Time taken by A in completing 1/3 of work is equal to the time taken by B in completing 1/2 of the work. At what time A and B together will complete the work?

(a) 9 days

(b) 10 days

(c) 12 days

(d) 48/5 days

(e) 8 days

Answer: D

IBPS PO 2016

Q.2 14 men can do work in 18 days,15 women can do work in 24 days. If 14 men work for the first three days and 10 women work after that for three days find the part of work left after that?

(a) 3/4

(b) 1/4

(c) 1/2

(d) 1/6

(e) 1/5

Answer: A

Also Read: Coding-Decoding Questions for Bank PO: Types of Coding and Decoding Questions and How to Solve Them

Important Rules To Remember

Here are some certain rules that you should remember to save your time.

Even and Odd

#1. Even + Even = Even

#2. Odd + Odd = Even

#3. Even + Odd= Odd

#4. Even – Even = Even

#5. Odd – Odd = Even

#6. Even – Odd= Odd

#7. Even * Even = Even

#8. Odd * Odd = Odd

#9. Even * Odd = Even

#10. Even + Even = Even

#11. Odd Γ· Odd = Odd

#12. Even Γ· Odd = Even

Square and Square Roots

NUMBER SQUARE SQUARE ROOT
1 1 1.000
2 4 1.414
3 9 1.732
4 16 2.000
5 25 2.236
6 36 2.449
7 49 2.646
8 64 2.828
9 81 3.000
10 100 3.162
11 121 3.317
12 144 3.464
13 169 3.606
14 196 3.742
15 225 3.873
16 256 4.000
17 289 4.123
18 324 4.243
19 361 4.359
20 400 4.472
21 441 4.583
22 484 4.690
23 529 4.796
24 576 4.899
25 625 5.000
26 676 5.099
27 729 5.196
28 784 5.292
29 841 5.385
30 900 5.477
31 961 5.568
32 1,024 5.657
33 1,089 5.745
34 1,156 5.831
35 1,225 5.916
36 1,296 6.000
37 1,369 6.083
38 1,444 6.164
39 1,521 6.245
40 1,600 6.325
41 1,681 6.403
42 1,764 6.481
43 1,849 6.557
44 1,936 6.633
45 2,025 6.708
46 2,116 6.782
47 2,209 6.856
48 2,304 6.928
49 2,401 7.000
50 2,500 7.071

Cube and Cube Roots

Natural Number Cube Cube Root
1 1 1
2 8 1.260
3 27 1.442
4 64 1.587
5 125 1.710
6 216 1.817
7 343 1.913
8 512 2.000
9 729 2.154
10 1000 2.224
11 1331 2.289
12 1728 2.351
13 2197 2.410
14 2744 2.466
15 3375 2.520
16 4096 2.571
17 4913 2.621
18 5832 2.668
19 6859 2.714
20 8000 2.759
21 9261 2.802
22 10648 2.844
23 12167 2.884
24 13824 2.924
25 15625 2.962
26 17576 3.000
27 19683 3.037
28 21952 3.037
29 24389 3.072
30 27000 3.107
31 29791 3.141
32 32768 3.175
33 35937 3.208
34 39304 3.240
35 42875 3.271
36 46656 3.302
37 50653 3.332
38 54872 3.362
39 59319 3.391
40 64000 3.420
41 68921 3.448
42 74088 3.476
43 79507 3.503
44 85184 3.530
45 91125 3.557
46 97336 3.583
47 103823 3.689
48 110592 3.634
49 117649 3.659
50 125000 3.684

Also Read: SBI PO Previous Years Question Papers: The Best Strategy for the Bank PO Exam Preparation

Conclusion

I hope this article gave you a clear view of the simplification and approximation questions of the Bank PO examination. For similar informative articles and Bank PO preparation material visit UPSC Pathshala.

And if you think you need help with your preparation then the website offers you a customized and affordable online bank PO course “Mission Bank PO“. This course is specifically designed by experts to help students achieve their dreams. The best part is that the course is totally refundable if you do not get selected for any bank exams.

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Approximation Questions for Bank PO: Know How to Ace this Type of Question
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Boost up your quantitative aptitude preparation with this article. This article revolves around one of the easiest yet trickiest sections: simplification and approximation.
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