Hello students we are here to describe one of the parts of the aptitude section of the examination for Bank PO, Clerk, SSC, etc. So we are discussing Simplification questions today.

Table of Contents

## What Is Simplification

Simplification is a part of aptitude and it is basically a trick to solve lengthy equations by simplifying it by using tricks like Bodmas. Bodmas rule is very popular and effective to solve the simplification questions.

So let us discuss some examples of Simplification questions with answers and explanation. We will share these questions in in different categories according to the exams like PO, Clerk, SSC, etc.

**Bodmas Rule**

BODMAS is an representation of Bracket, Order, Division, Multiplication, Addition, and Subtraction. In specific areas, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is utilized, which is the equivalent word of BODMAS.

It clarifies the request for activities to be performed while tackling an articulation. As indicated by BODMAS rule, if an articulation contains sections ((), {}, []) we have first to address or improve on the section followed by ‘request’ (that implies powers and roots, and so on), at that point division, duplication, expansion and deduction from left to right. Tackling the issue out of order will bring about an off-base answer.

Also Check- Syllogism questions

## Simplification Questions For SBI PO

**48.3 × 289 ÷ 3.4 ÷ 23 ÷ 68 × 21 = ?**^{3}+ 28.125

A | 5 |

B | 3 |

C | 8 |

D | 11 |

E | None of these |

**Explanation- **

48.3 × 289 ÷ 3.4 ÷ 23 ÷ 68 × 21 = ?^{3} + 28.125

483 × 289 ÷ 34 ÷ 23 ÷ 68 × 21 = ?^{3} + 28.125

441/ 8 = ?^{3} + 28.125

55.125 – 28.125 = ?^{3}

?^{3} = 27

? = 3

Hence, option B is correct.

**Question- 72.9 ÷ 81 × √100 = ? ^{1/2 }÷ √324 + ∛64**

A | 8100 |

B | 4900 |

C | 2500 |

D | 3600 |

E | 6400 |

**Explanation- **

72.9 ÷ 81 × √100 = ?^{1/2} ÷ √324 + ∛64

72.9 ÷ 81 × 10 = ?^{1/2} ÷ 18 + 4

729 ÷ 81 = ?^{1/2} ÷ 18 + 4

9 – 4 = ?^{1/2} ÷ 18

5 × 18 = ?^{1/2}

?^{1/2} = 90

? = 8100

**Hence, option A is correct.**

**Question- 1089 ÷ ∛1728 ÷ 11 + √225 = ? ^{2} – 652.75**

A | 35 |

B | 26 |

C | 48 |

D | 52 |

E | 24 |

**Explanation-**

1089 ÷ ∛1728 ÷ 11 + √225 = ?^{2} – 652.75

1089 ÷ 12 ÷ 11 + 15 = ?^{2 }– 652.75

8.25 + 652.75 + 15 = ?^{2}

661 + 15 = ?^{2}

?^{2} = 676

? = 26

**Hence, option B is correct.**

**Question- √(301–√(168–√(544+√(1042 –√(324))))) = ? ÷ 3**

A | 25 |

B | 51 |

C | 39 |

D | 34 |

E | 65 |

**Explanation-**

√(301–√(168–√(544+√(1042 –√(324))))) = ? ÷ 3

√(301–√(168–√(544+√(1042 –18)))) = ? ÷ 3

√(301–√(168–√(544+√(1024)))) = ? ÷ 3

√(301–√(168–√(544+32)))) = ? ÷ 3

√(301–√(168–√(544+32)))) = ? ÷ 3

√(301–√(168–√(576))) = ? ÷ 3

√(301–√(168–24)) = ? ÷ 3

√(301–√(144)) = ? ÷ 3

√(301–12) = ? ÷ 3

√289 = ? ÷ 3

? = 51

**Hence, option B is correct.**

**Question- (1 / 3) of 2529 + 42% of 1450 = (?) ^{2} – 949**

A | 51 |

B | 41 |

C | 39 |

D | 49 |

E | 59 |

Explanation-

(1 / 3) of 2529 + 42% of 1450 = (?)^{2} – 949

843 + 609 + 949 = (?)^{2}

(?)^{2 }= 2401

? = √ 2401 = 49

**Hence, option D is correct.**

**Question- √(1686 – 317) + √(3441 – 525) = ?**

A | 92 |

B | 95 |

C | 91 |

D | 99 |

E | None of these |

Explanation-

√(1686 – 317) + √(3441 – 525) = ?

√1369 + √2916 = ?

? = 37 + 54 = 91

**Hence, option C is correct.**

**Question- ? % of (19154 – 15644) = 9 ^{2} + 6^{2}**

A | 5 |

B | 3 |

C | 10/3 |

D | 20/3 |

E | None of these |

Explanation-

? % of (19154 – 15644) = 9^{2} + 6^{2}

?% of 3510 = 117

or, (? × 3510 / 117) =100

or, ? = 100 / 30 = 10 / 3

**Hence, option C is correct.**

**Question- 7878 ÷ 26 × 13 – 333 = ?**

A | 3806 |

B | 3636 |

C | 2406 |

D | 3606 |

E | None of these |

Explanation-

7878 ÷ 26 × 13 – 333 = ?

? = 303 × 13 – 333

? = 3939 – 333

? = 3606

**Hence, option D is correct.**

**Question- 25 ^{6.5} × 25^{12.25} = 25^{21–?}**

A | 2.2 |

B | 2.25 |

C | 2.5 |

D | 3 |

E | None of these |

Explanation-

As the base on both the sides LHS and RHS are equal, we can compare the indices.

6.5 + 12.25 = 21 – x

18.75 = 21 – x

Therefore, x = 21 – 18.75

⇒ 2.25

**Hence, option B is correct.**

**Question- 1332 ÷ 36 × 23 + 287 – 189 = ?**

A | 1029 |

B | 988 |

C | 850 |

D | 949 |

E | None of these |

Explanation-

1332 ÷ 36 × 23 + 287 – 189 = ?

(1332/36) × 23 + 287 – 189

= 851 + 287 – 189 = 1138 – 189 = 949

**Hence, option D is correct.**

## Simplification Questions For IBPS Clerk

**Question- 23568 + 33852 + 17183 – 52549 = ?**

A | 20084 |

B | 22184 |

C | 21084 |

D | 22084 |

E | None of these |

Explanation-

74603 – 52549 = 22054

Hence, option E is correct.

**Question- (3/5) of 3245 + 32% og 6250 – (?) ^{2} = 103**

A | 64 |

B | 62 |

C | 58 |

D | 57 |

E | None of these |

Explanation-

1947 + 2000 – 103 = (?)^{2}

3947 – 103 = (?)^{2}

3844 = (?)^{2}

? = 62

Hence, option B is correct.

**Question- 62% of 16850 + 32% of 7345 = 52% of 645 + ?**

A | 10328 |

B | 12462 |

C | 10358 |

D | 10748 |

E | 12360 |

Explanation-

62% of 16850 + 32% of 7345 = 52% of 645 + ?

10447 + 2350.40 = 335.40 + ?

? = 12462

Hence, option B is correct.

**Question- 23 × 17 + 427 – 52% of 1450 = ? ^{2}**

A | 64 |

B | 58 |

C | 8 |

D | 16 |

E | None of these |

Explanation-

23 × 17 + 427 – 52% of 1450 = ?^{2}

?^{2} = 391 + 427 – 754

?^{2} = 391 + 427 – 754

?^{2} = 64 = 8

Hence, option C is correct.

**Question- (3/9) of 3267 + 72% of 6350 = (?) ^{2} – 580**

A | 54 |

B | 92 |

C | 27 |

D | 79 |

E | None of these |

Explanation-

(3/9) of 3267 + 72% of 6350 + 580 = (?)^{2}

1089 + 4572 +580 = (?)^{2}

(?)^{2 }= 6241

? = √6241 = 79

Hence, option D is correct.

**Question- 6992 ÷ 19 – ?% of 652 = – 4196**

A | 700 |

B | 600 |

C | 300 |

D | 800 |

E | None of these |

Explanation-

6992 ÷ 19 – ?% of 652 = – 4196

368 + 4196 = ?% of 652

?% of 652 = 4564

? = (4564 ÷ 652) × 100

? = 700

Hence, option A is correct.

**Question- √441 × ( 985.35 – 969.35 ) = ? ^{1/2} + 305**

A | 324 |

B | 900 |

C | 1225 |

D | 961 |

E | None of these |

Explanation-

√441 × (985.35 – 969.35) = ?^{1/2} + 305

21 × 16 = ?^{1/2} + 305

336 – 305 = ?^{1/2}

?^{1/2} = 31

? = 961

Hence, option D is correct.

**Question- ( ? / 37 ) = ( 15 / ? ) × (1/2145) × ( 1 / 9.25 ) × 676 × 143**

A | 36 |

B | 26 |

C | 69 |

D | 55 |

E | None of these |

Explanation-

( ? / 37 ) = ( 15 / ? ) × (1/2145) × ( 1 / 9.25 ) × 676 × 143

?^{2} = ( 37 × 15 × 676 × 143 / 2145 × 9.25 )

?^{2} = 4 × 676

? = 2 × 26 = 52

Hence, option E is correct.

**Question- (4698 – 3625 – 857) = ? ^{3} – 42 – √7225**

A | 49 |

B | 14 |

C | 7 |

D | 343 |

E | None of these |

Explanation-

(4698 – 3625 – 857) = ?^{3} – 42 – √7225

4698 – 4482 = ?^{3} – 42 – 85

216 = ?^{3} – 127

?^{3} = 216 + 127

?^{3} = 343

? = 7

Hence, option C is correct.

**Question- [3/2 + 1/2 {3/4 – 1/2 (7/8 – 3/4)}] = ?**

A | 59/15 |

B | 59/32 |

C | 59/37 |

D | 58/11 |

E | None of these |

Explanation-

[ 3/2 + 1/2 { 3/4 – 1/2 (7/8 – 3/4 ) } ] = ?

? = [ 3/2 + 1/2 { 3/4 – 1/2 ( 7/8 – 6/8)}]

? = [ 3/2 + 1/2 { 3/4 – 1/2 ( 1/8 ) } ]

? = [ 3/2 + 1/2 { 3/4 – 1/16 } ]

? = [ 3/2 + 1/2 { 11/16 } ]

? = [ 3/2 + 11/32 ]

? = [ 48/32 + 11/32 ]

? = [ 59/32 ]

Hence, option B is correct.

## Simplification Questions For IBPS And RRB

**Question- (10 × 10 × 10 / 4 + 4 + 4 +4) = ?**

A | 59.5 |

B | 50.5 |

C | 62.5 |

D | 67.5 |

E | 72.5 |

Explanation-

(10 × 10 × 10 / 4 + 4 + 4 +4) = ?

? = (10 × 10 × 10 / 4 + 4 + 4 +4) = (1000 / 16) = 62.5

Hence, option C is correct.

**Question- (6/8) + (10/16) + (26/32) + (6/16) = ?**

A | (51/61) |

B | (26 / 6) |

C | (29/12) |

D | (53/16) |

E | None of these |

Explanation-

(6/8) + (10/16) + (26/32) + (6/16) = ?

= { (24 + 20 + 26 + 12) / 32} = (82/32) = (41/16)

Hence, option E is correct.

**Question- (6160 + 12320) ÷ ? = 660**

A | 35 |

B | 22 |

C | 25.5 |

D | 28 |

E | None of the above |

Explanation-

(6160 + 12320) ÷ ? = 660

? = { (6160 + 12320) / 660 } = (18480 / 660) = 28

Hence, option D is correct.

**Question- { (6/4) × (32/8) × (6/16) } + { (6/16) × (24/8) × (36/4) } = ?**

A | (93/67) |

B | (99/8) |

C | (94/8) |

D | (99/13) |

E | None of these |

Explanation-

{ (6/4) × (32/8) × (6/16) } + { (6/16) × (24/8) × (36/4) } = ?

= (9/4) + (81/8) = (99/8)

Hence, option B is correct.

**Question- 11.11% of 27.27% of 8.33% of 3564**

A | 5 |

B | 7 |

C | 9 |

D | 8 |

E | None of these |

Explanation-

11.11% of 27.27% of 8.33% of 3564

= (1/9) × (3/11) × (1/12) × 3564 = 9

Hence, option C is correct.

** Question- (12121 ÷ 100) + (42424 ÷ 50) = ?**

A | 969.69 |

B | 853.41 |

C | 923.78 |

D | 991.12 |

E | 945.91 |

Explantion-

(12121 ÷ 100) + (42424 ÷ 50) = ?

= 121.21 + 848.48 = 969.69

Hence, option (A) is correct.

**Question- 50.4 + 154.4 + 280.884 + 1692.4 – 1368.6 = ?**

A | 917.545 |

B | 809.484 |

C | 924.244 |

D | 997.844 |

E | 988.744 |

Explanation-

? = 50.4 + 154.4 + 280.884 + 1692.4 – 1368.6

= 2178.084 – 1368.6

= 809.484

Hence, option (B) is correct.

**Question- ?% of (152 ÷ 19 × 45) = 126**

A | 28 |

B | 32.5 |

C | 35 |

D | 38.5 |

E | 42 |

Explanation-

?% of (152 ÷ 19 × 45) = 126

⇒ ?% of (8 × 45) = 126

⇒ ?% of (8 × 45) = 126

⇒ ?% of 360 = 126

⇒ ?% = (126/360)

⇒ ? = (126/360) × 100

⇒ ? = 35

Hence, option C the correct answer.

**Question- (5/8) of (4/9) of (3/5) of 654 = ?**

A | 132 |

B | 109 |

C | 127 |

D | 97 |

E | 142 |

Explanation-

(5/8) of (4/9) of (3/5) of 654 = ?

? = (5/8) × (4/9) × (3/5) × 654 = 109

Hence, option B is correct.

**Question- 23 × 5.2 + 24 × 1.2 – 32 × 4.7 – 35 × 1.02 + 97 × 4 = ?**

A | 315.3 |

B | 350.3 |

C | 340.4 |

D | 348.3 |

E | 368.3 |

Explanation-

? = 23 × 5.2 + 24 × 1.2 – 32 × 4.7 – 35 × 1.02 + 97 × 4

= 119.6 + 28.8 – 150.4 – 35.7 + 388

= 536.4 – 186.1 = 350.3

Hence, option (B) is correct.

## Simplification Questions With Solutions For SSC

**Question- √? + 416 = (60% of 920) – 110**

A | 576 |

B | 676 |

C | 784 |

D | 1024 |

E | 1156 |

Explanation-

√? + 416 = (60% of 920) – 110

⇒ √? = (50% of 920 + 10% of 920) – 110 – 416

⇒ √? = (460 + 92) –526

⇒ √? = 552 – 526 = 26

⇒ ? = 26^{2} = 676

Hence, option B is correct.

**Question- 12.25 × 7.2 + 84.33 = ?**

A | 182.51 |

B | 177.44 |

C | 174.33 |

D | 172.53 |

E | None of these |

Explanation-

12.25 × 7.2 + 84.33 = 88.2 + 84.33 = 172.53

Hence, option D is correct.

**Question- (608.40 × ?) ÷ 225 + 37 = 375**

A | 115 |

B | 135 |

C | 130 |

D | 125 |

E | 132 |

Explanation-

{(608.40 × ?) / 225} + 37 = 375

⇒ 608.40 × ? = (375 – 37) × 225 = 76050 ⇒ ? = 125

Hence, option D is correct.

**Question- (14896 ÷ 19) ÷ 16 = ?**

A | 49 |

B | 54 |

C | 58 |

D | 62 |

E | 67 |

Explanation-

(14896 ÷ 19) ÷ 16 = ?

⇒ ? = (14896 / 19) ÷ 16

⇒ ? = (14896 / 19) ÷ 16 ⇒ (784 / 16) = 49

Hence, option A is correct.

**Question- [(3) ^{3} × (5)^{4}] ÷ (3)^{5} = ?**

A | 30.44 |

B | 39.55 |

C | 35.44 |

D | 69.44 |

E | None of these |

Explanation-

[(3)^{3} × (5)^{4}] ÷ (3)^{5} = ?

? = {(3^{3} × 5^{4}) / 3^{5}} = (5^{4}/3^{2}) = (625/9) = 69.44

Hence, option D is correct.

**Question- 9643 – 7750 + ? = 4990**

A | 3079 |

B | 3097 |

C | 3090 |

D | 4010 |

E | None of these |

Explanation-

? = 4990 – 9643 + 7750 = 3097

Hence, option B is correct.

**Question- 853 + ? ÷ 17 = 1000**

A | 2516 |

B | 2482 |

C | 2499 |

D | 16147 |

E | None of these |

Explanation-

853 + (? / 17) = 1000

(? / 17) = 1000 – 853 = 147

? = 17 × 147 = 2499

Hence, option C is correct.

**Question- (1/4) × (4856 × 0.5) × 12 = ?**

A | 7284 |

B | 7462 |

C | 7262 |

D | 7414 |

E | None of these |

Explanation-

(1/4) × (4856 × 0.5) × 12 = ?

(1/4) × 2428 × 12

? = 7284

Hence, option A is correct.

**Question- 6153 ÷ √? × 53 = 4028**

A | 6889 |

B | 6241 |

C | 5929 |

D | 6561 |

E | None of these |

Explanation-

(6153 × 53)/√? = 4028

⇒ √? = 80.96 ≈ 81

⇒ ? = 6561

Hence, option D is correct.

**Question- (764 × ?) ÷ 250 = 382**

A | 115 |

B | 145 |

C | 135 |

D | 125 |

E | None of these |

Explanation-

{(764 × ? ) / 250} = 382

? = {(382 × 250) / 764} = 125

Hence, option D is correct.

## Final Words On Simplification Questions

Simplification questions are the best way to getting good score in the competitive examinations like Bank PO, Clerk, SSC, RRB, Police, etc. All you need to do the practice so you can get perfect to solve these types of questions.