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 Bank**** **

### 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. ???. ?? + ??. ?? + (?. ??) ? + (?. ??) ? =?

(a) 195

(b) 162

(c) 181

(d) 170

(e) 189

Q2. ???. ??√?− ?? ??.?? ×? = ??. ??√?

(a) 441

(b) 169

(c) 250

(d) 121

(e) 324

Q3. 1332.89 + 171.928 + 17.01 + ?² = 1690.87

(a) 27

(b) 17

(c) 9

(d) 13

(e) 19

Q4. 150.09% of 20 + ???.? ??.?? + √? = (?. ??)²

(a) 984

(b) 1024

(c) 1360

(d) 1225

(e) 674

Q5. 56.08% of 149.92 + √??. ?? × ?. ?? − ?? ? ? % ?? ???. ? =?

(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 + √16.02 ) =?

(a) 50

(b) 60

(c) 75

(d) 70

(e) 55

Q7. 55.01 – 345.02 ÷ 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 ÷ 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. ?? = ??. ?? ÷ ???. ?? × ????. ?? ÷ ?. ??

(a) 7

(b) 3

(c) 4

(d) 5

(e) 8

Q18. ???.??/ ? = √???. ?? + √??. ??

(a) 17

(b) 20

(c) 10

(d) 34

(e) 40

Q19. 34.02% of 550.09 ÷ ? = 297.07 ÷ √???. ??

(a) 14

(b) 21

(c) 8

(d) 27

(e) 17

Q20. (? ÷ 9.97) × 12.08 = 20.12% of 1319.97

(a) 220

(b) 240

(c) 260

(d) 280

(e) 200

Q21. ? % ?? ???. ?? = √(??. ??) ? + (??. ??) ? + ??. ??% ?? ???. ??

(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 × 14.999 × 9.998 = ?

(a) 4200

(b) 3000

(c) 3600

(d) 4000

(e) 2500

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

(a) 801

(b) 720

(c) 729

(d) 721

(e) 744

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

(a) 25

(b) 144

(c) 225

(d) 625

(e) 900

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

(a) 3

(b) 4

(c) 5

(d) 8

(e) 7

Q26. 39.7% ?? 801 − 250.17 = ? −63% ?? 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 ÷ Odd = Odd

#12. Even ÷ 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.

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These questions have helped me a lot in my preparation.

Thank you for sharing this amazingly informative article.