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.

### 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

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.

### 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

#### 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

### 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
##### 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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Approximation Questions for Bank PO: Know How to Ace this Type of Question
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