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The given EXPRESSION,

$(\sqrt {575} \div 8.003 + {\left( {13.01} \right)^2} - \sqrt {2499} = ?)$

We can write above values as,

√575 ≈ 24, 8.003 ≈ 8

13.01 ≈ 13 and √2499 ≈ 50

Then,

⇒ 24 ÷ 8 + 13² - 50 = ?

⇒ ? = 3 + 169 - 50

√1088.99 + √728.95 + √840.89 + X = 24.99% of 799.99

⇒ √1089 + √729 + √841 + x = 25% of 800

⇒ 33 + 27 + 29 + x = 200

⇒ x + 89 = 200

(10.097)² + (3.98)³ × 5.05 = 20.95 × ?

APPROXIMATING the value to the nearest integer:

10² + 4³ × 5 = 21 × (?) 

100 + 64 × 5 = 21 × (?) 

100 + 320 = 21 × (?) 

420 = 21 × (?) 

? = 420/21

? = 20

Follow BODMAS rule to solve this question, as per the order given below,

Step-1- Parts of an EQUATION enclosed in 'Brackets' MUST be solved first, and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that CONTAIN 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

⇒ (119.81 ÷ 59.79) × 180.10 = 39.71 × 8.25 + ?

We can write the given values as:

⇒ 119.81 ≈ 120 and 59.79 ≈ 60 and 180.10 ≈ 180

⇒ 39.71 ≈ 40 and 8.25 ≈ 8

Then,

⇒ (120 ÷ 60) × 180 = 40 × 8 + ?

⇒ 2 × 180 = 40 × 8 + ?

⇒ 360 = 40 × 8 + ?

⇒ 360 = 320 + ?

⇒ ? = 360 - 320

In this TYPE of question, we are expected to calculate Approximate value (not exact value), so we can replace the given NUMBERS by their NEAREST perfect places which makes the calculation easy.

Let, 6789.97 ≈ 6790, 4895.01 ≈ 4895, 1055.99 ≈1056 and 2309.99 ≈2310

Now, given EXPRESSION:

⇒ 6790 – 4895 + 1056 = ? + 2310

⇒ 1895 + 1056 = ? + 2310

⇒ 2951 = ? + 2310

⇒ ? = 2951 – 2310

⇒ ? = 641

⇒ √5378 × √3363 ÷ √360 = ?

Approximating the VALUES to the nearest integer:

⇒ √5329 × √3364 ÷ √361 = ?

⇒ ? = (73 × 58)/19

⇒ ? = 222.84 ≈ 223

(15 × 0.40)⁴ ÷ (1080 ÷ 30)⁴ × (27 × 8)⁴ = (3 × 2)^?+6

$(\RIGHTARROW {\left( {15 \times \frac{4}{{10}}} \right)^4} \div {\left( {\frac{{1080}}{{30}}} \right)^4} \times {\left( {27 \times 8} \right)^4} = {6^{? + 6}})$

⇒ 6⁴ ÷ 36⁴ × 27⁴ × 8⁴ = 6^{? + 6}

$(\Rightarrow {\left( {\frac{{6 \times 27 \times 8}}{{36}}} \right)^4} = {6^{? + 6}})$

⇒ 36⁴ = 6^?+6

⇒ 6⁸ = 6^?+6

⇒ 8 = ? + 6

72 × 2.48 + 12 + 4.9 × 7.01 + 6.93 = ?

⇒ 72 × 2.5 + 12 + 5 × 7 + 7 = ?

⇒ 180 + 12 + 35 + 7 = ?

∴ ? = 234.

11.8 × 4.5 × 2.3 = 5.75 × ?

$(\RIGHTARROW \:? = \FRAC{{11.8 \TIMES 4.5 \times 2.3}}{{5.75}})$

⇒ ? = 11.8 × 4.5 × 0.4

∴ ? = 21.24

Follow BODMAS rule to solve this question, as per the ORDER given below,

Step-1- Parts of an equation enclosed in 'Brackets' MUST be solved first, and in the bracket,

Step-2- Any MATHEMATICAL 'Of' or 'Exponent' must be solved NEXT,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

[(6878 + 1333 - 8031) - (12.02 × 1.99 × 7.09)] × 2.532 = ?

Taking approximate values as,

12.02 ≈ 12, 1.99 ≈ 2, 7.09 ≈ 7, 2.532 ≈ 2.5

⇒ [180 - (12 × 2 × 7)] × 2.5 = ?

⇒ [180 - 168] × 2.5 = ?

⇒ 12 × 2.5 = ?

Follow BODMAS rule to solve this question, as per the order GIVEN below,

Step-1 - Parts of an equation enclosed in 'Brackets' MUST be solved FIRST, and in the BRACKET,

Step-2 - Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3 - Next, the parts of the equation that contain 'Division' and 'Multiplication' are CALCULATED,

Step-4 - Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

⇒ (3.4 × 0.5) + (9 × 0.7) = (?)² - 1

⇒ (1.7) + (6.3) = (?)² – 1

⇒ 8 = (?)² – 1

⇒ (?)² = 8 + 1 = 9

⇒ (?)² = (3)²

⇒ ? = 3

⇒ √3585 × √729 ÷ √84 = X% of 3000

⇒ 60 × 27 ÷ 9 = 30X

⇒ 180 = 30X

⇒ 180/30 = X

Follow BODMAS RULE to solve this QUESTION, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the BRACKET, the BODMAS rule must be followed,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved NEXT,

Step-3-Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4-Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

⇒ (99,736 + 97,369 + 99,678 + 84,767) ÷ (963 + 889 + ? + 1922) = 65

⇒ 381,550 ÷ (3,774 + ?) = 65

⇒ (3,774 + ?) = 381,550/65

⇒ (3,774 + ?) = 5,870

⇒? = 5,870 – 3,774

⇒? = 2,096

FOLLOW BODMAS rule to solve this question, as PER the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be SOLVED first, and in the bracket, the BODMAS rule must be followed.

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3-Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4-Last but not LEAST, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given Expression is,

⇒ 632 ÷ 8 + 11² = ?

⇒ 632 ÷ 8 + 121 = ?

⇒ 79 + 121 = ?

67% of 801 - 231.17 = ? - 23% of 789

? = 67% of 801 - 231.17 + 23% of 789

? = 536.67 - 231.17 + 181.47

Follow BODMAS RULE to solve this question, as per the order given below,

Step-1: Parts of an equation enclosed in 'Brackets' MUST be solved FIRST, and in the bracket,

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4: LAST but not LEAST, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

998731.903 ÷ 77777.208 × 661.74 = ?

⇒ 12.841 × 661.74 = ?

Follow BODMAS rule to solve this question, as per the ORDER given below,

Step-1: Parts of an EQUATION enclosed in the ‘BRACKETS’ must be solved first

Step-2: Any mathematical ‘OF’ or ‘EXPONEMTS’ must be solved next

Step-3: Next the part of the equation that contains ‘DIVISION; and ‘MULTIPLICATION’ are calculated

Step-4: Last but not least, the parts of the equation that contains ‘ADDITION’ and ‘SUBTRACTION’ should be calculated

Now, the given expression:

⇒ 25³ × 4³ × √810000 = ?²

⇒ (5²)³ × (2²)³ × 900 = (?)²

⇒ 5⁶ × 2⁶ × 30² = (?)²

$(\Rightarrow \sqrt {{5^6}{\rm{\;}} \times {\rm{\;}}{2^6}{\rm{\;}} \times {\rm{\;}}{{30}^2}{\rm{\;}}} {\rm{\;}} = \;?)$

⇒ 5³ × 2³ × 30 = ?

⇒ 125 × 8 × 30 = ?

Given equation,

⇒ 125² × 5⁷ ÷ 25² × 100 ÷ 8 = 125 × 8 × 5⁸ ÷ 16^x

Taking into base FACTORS,

⇒ 5⁶ × 5⁷ ÷ 5⁴ × 5² × 2² ÷ 2³ = 5³ × 2³ × 5⁸ ÷ 2^4x

⇒ 5^{(6 + 7 – 4 + 2)} × 2^{(2 – 3)} = 5^{(8 + 3)} × 2^{(3 – 4x)}

⇒ 5¹¹ × 2^-1 = 5¹¹ × 2^{(3 – 4x)}

⇒ 5^{(11 – 11)} = 2^{(3 – 4x + 1)}

⇒ 5⁰ = 2^{(4 – 4x)}

⇒ 1 = 2^{(4 – 4x)}

⇒ 2⁰ = 2^{(4 – 4x)}

Equating powers,

⇒ 4 – 4x = 0

Follow BODMAS rule to solve this question, as per the order given below,

Step-1- Parts of an equation ENCLOSED in 'Brackets' must be solved FIRST, and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given Expression,

74.80 × 2.89 - ?³ = 83.10 – 74.35

We can also WRITE values as:

74.80 ≈ 75, 2.89 ≈ 3, 83.10 ≈ 83, 74.35 ≈ 74

Given expression becomes,

⇒ 75 × 3 - ?³ = 83 - 74

⇒ 225 - ?³ = 83 - 74

⇒ 225 - ?³ = 9

⇒ ?³ = 216

⇒ [{[(10) + (5)] + 30} ÷ (9)] + 24

⇒ [{15 + 30} ÷ (9)] + 24

⇒ [45 ÷ 9] + 24

⇒ 5 + 24 = 29

∴ Value of the EXPRESSION is 29

$(\FRAC{{0.5{\RM{}} \TIMES {\rm{}}0.1{\rm{}} \times {\rm{}}0.25{\rm{}} \times {\rm{}}0.01}}{{0.2{\rm{}} \times {\rm{}}0.2{\rm{}} \times {\rm{}}0.4{\rm{}} \times {\rm{}}0.03{\rm{}} \times {\rm{}}0.3}} = ?)$

= $(\frac{{0.05{\rm{}} \times {\rm{}}0.0025}}{{0.016{\rm{}} \times {\rm{}}0.009}})$

= 0.000125/0.000144

= 125/144

Let ‘X’ be the required number. Then according to question,

⇒ 27 × X = 6075/15

$(\Rightarrow {\rm{\;X\;}} = {\rm{\;}}\FRAC{{\left( {\frac{{6075}}{{15}}} \right)}}{{27}})$

⇒ X = $(\frac{{6075}}{{15 \TIMES 27}}{\rm{\;}})$

Follow BODMAS rule to SOLVE this question, as per the order given below,

Step-1- Parts of an equation ENCLOSED in 'Brackets' must be solved FIRST, and in the bracket, the BODMAS rule must be followed,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved NEXT,

Step-3-Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4-Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

34.5% of 1800 + 12.4% of 1500 = (?)² + 726

⇒ 0.345 × 1800 + 0.124 × 1500 = ?² + 726

⇒ 807 = ?² + 726

⇒ ?² = 81

GIVEN Equation is,

$(\sqrt ? \times \sqrt {3025} = 2640)$

⇒ √? × 55 = 2640

⇒ √? = 48

Follow BODMAS rule to solve this question, as per the order given below,

Step-1- PARTS of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not LEAST, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

$(9{\rm{\;of\ }}\frac{{16}}{3}\ {\rm{of\ }}\frac{{42}}{{32}}\ {\rm{of\ }}\frac{1}{{27}}\ {\rm{of\ }}\frac{3}{4}\ {\rm{of\;}}856 = {\rm{\;}}?)$

⇒ 9 × (16/3) × (42/32) × (1/27) × (3/4) × 856 = ?

⇒ 48 × 42/32 × 1/27 × ¾ × 856 = ?

⇒ 63 × (1/27) × ¾ × 856 = ?

⇒ 7/3 × ¾ × 856 = ?

⇒ 7/4 × 856 = ?

⇒ ? = 214 × 7

According to the BODMAS rule, the priority in which the operations should be done is:

⇒ 340.01/20.002 ÷ 29.899/510 × 180.002/59.98 = (?)

APPROXIMATING the value to the NEAREST integer:

⇒ 340/20 ÷ 30/510 × 180/60 = (?)

⇒ 340/20 × 510/30 × 180/60 = (?)

⇒ 17 × 17 × 3 = (?)

(?) = 867

24.082 × 9.964 × 23.980 = ?

Here, 24.082 ≈ 24

9.964 ≈ 10

23.980 ≈ 24

Now, the GIVEN expression will BECOME:

⇒ ? ≈ 24 × 10 × 24

1331 × 0.11 × 121 × 11 = (1.1)^? × 110000

Make FACTORS of the TERMS in the equation

⇒ 11 × 11 × 11 × 0.11 × 11 × 11 × 11 = (1.1)^? × 110000

⇒ (1.1)^? = 11 × 11 × 11 × 11/100 × 11 × 11 × 11/110000

⇒ (1.1)^? = (11)⁶/(10)⁶

⇒ (1.1)^? = (1.1)⁶

2.75 + 67.25 – 25.90 + 81.25 × 3 – 82.45 × 2 = ? ÷ 2

⇒ 44.1 + 243.75 - 164.9 = ? ÷ 2

⇒ ? = 122.95 × 2

∴? = 245.9

Given expression is,

71.88 × 3.90 + 11.90 = 67.95 + ? × 4.15

We can write the given values as:

71.88 ≈ 72 and 3.90 ≈ 4

11.90 ≈ 12 and 67.95 ≈ 68 and 4.15 ≈ 4

Then,

⇒ 72 × 4 + 12 = 68 + ? × 4

⇒ 288 + 12 = 68 + ? × 4

⇒ 300 = 68 = ? × 4

⇒ 300 - 68 = ? × 4

⇒ 232 = ? × 4

⇒ ? = 232/4

335.01 × 24.99 ÷ 5.5 = ?

FOLLOW BODMAS rule to solve this question, as per the order given below,

Step-1-Parts of an equation enclosed in 'Brackets' must be solved first,

Step-2-Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3-Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4-Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

The given expression:

$(\begin{array}{l} 1\frac{1}{4} + 2\frac{1}{5} \times \frac{5}{8} \div 4\frac{1}{2} = ?\\ \Rightarrow \frac{5}{4} + \frac{{11}}{5} \times \frac{5}{8} \div \frac{9}{2} = ?\\ \Rightarrow \frac{5}{4} + \frac{{11}}{5} \times \frac{5}{8} \times \frac{2}{9} = ?\\ \Rightarrow \frac{5}{4} + \frac{{11}}{{36}} = ?\\ \Rightarrow \frac{{\LEFT( {5 \times 9} \right) + 11}}{{36}} = ?\\ \Rightarrow \frac{{45 + 11}}{{36}}\\ = \frac{{56}}{{36}}\\ = \frac{{14}}{9} = 1\frac{5}{9} \END{array})$

B- Bracket

O- Of

D- Division

M- Multiplication

A- Addition

S- Subtraction

According to this RULE,

⇒ 69 + 123 × 2 - 4 = ? ÷ 3 + 11

⇒ 69 + 246 - 4 = ? ÷ 3 + 11

⇒ 315 - 4 = ? ÷ 3 + 11

⇒ 311 - 11 = ? ÷ 3

⇒ 300 × 3 = ?

∴ ? = 900

GIVEN expression:

22² + √? = 516

⇒ √? = 516 – 484 = 32

∴ ? = (32)² = 32 × 32 = 1024

Follow BODMAS rule to solve this QUESTION, as PER the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are CALCULATED,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

142$ - 32$ - 43 = ?

⇒ 196 - 9 - 43 = ?

⇒ ? = 144

FOLLOW BODMAS rules to solve the equation

Step-1: The part of the equation containing 'Brackets' must be solved first, and in the bracket,

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are solved

Step-4: At last, the part of the equation that CONTAINS 'Addition' and 'Subtraction' should be solved.

[(23 × 2² × 24²)] ÷ (2 × √1296) = (3)^? + 7

⇒ (23 × 4 × 576) / (2×36) = 7 + (3)^? [? √1296 = 36]

⇒ (23 × 32) = 7 + (3)^?

⇒ 736 = 7 + (3)^?

⇒ 729 = (3)^?

⇒ (3)⁶ = (3)^?

∴ ? = 6

⇒ (11.90 % of 1200) ÷ 6.10 = (?)³ – 2.91

$(\RIGHTARROW \left( {\FRAC{{12}}{{100}} \times 1200} \RIGHT) \div 6.10)$ = (?)³ – 2.91

⇒ 144 ÷ 6 = (?)³ – 3

⇒ 24 = (?)³ – 3

⇒ (?)³ = 27

⇒ (?)³ = 3³

⇒ ? = 3

8649 can be written as:

8649 = 3 × 3 × 31 × 31

⇒ 8649 = 3² × 31²

⇒ √8649 = √ [3² × 31²]

⇒ √8649 = 3 × 31

GIVEN EQUATION is,

3.2% of 500 × 2.4% of ? = 230.4

⇒ 0.032 × 500 × 0.024 × ? = 230.4

⇒ 0.384 × ? = 230.4

Follow BODMAS RULE to solve this question, as per the order is given below,

Step-1: Parts of an EQUATION enclosed in 'Brackets' must be SOLVED first and in the bracket,

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3: Next, the parts of the equation that contains 'Division' and 'Multiplication' are calculated,

Step-4: Last but not least, the parts of the equation that contains 'Addition' and 'Subtraction' should be calculated.

Given expression is,

⇒ 67 + 85 ÷ (8 + 9) = ? ÷ 3

⇒ 67 + 85 ÷ 17 = ? ÷ 3

⇒ 67 + 5 = ? ÷ 3

⇒ 72 = ? ÷ 3

⇒ ? = 72 × 3 = 216

∴ ? = 216

Follow BODMAS rule to solve this question, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved next,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

3140 – 55 × 1422 ÷ 79 = ? × 22 + 1428 ÷ 8.4

Applying BODMAS Rule;

⇒ 3140 – 55 × 18 = 22 × ? + 170

⇒ 3140 – 990 = 22 × ? + 170

⇒ 22 × ? = 1980

Follow BODMAS rule to SOLVE this question, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' MUST be solved first, and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved NEXT,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given Expression,

90.77 + 116.81 ÷ 13.40 – 44.16 = 152.67 - ?

We can also write values as:

90.77 ≈ 91, 116.81 ≈ 117, 13.40 ≈ 13, 44.16 ≈ 44, 152.67 ≈ 153

Given expression becomes,

⇒ 91 + 117 ÷ 13 – 44 = 153 - ?

⇒ 91 + 9 – 44 = 153 - ?

⇒ 100 – 44 = 153 - ?

⇒ 56 = 153 - ?

⇒ ? = 153 – 56

Since, we need to FIND out the approximate value,

So, we can write these VALUES to their NEAREST integers.

Given expression is

√3601 × √624 ÷ √399 = ?

⇒ ? ≈ √3600× √625÷ √400

⇒ ? = 60 × 25 ÷ 20

Given expression is,

⇒ 47.88 + 84.07 – 99.95 = 7.86 × ?

⇒ 48 + 84 – 100 = 7.86 × ?

⇒ 132 – 100 = 7.86 × ?

⇒ 32 = 7.86 × ?

⇒ 32 = 8 × ?

⇒ ? = 32/8 = 4

⇒ ? = 4

Follow BODMAS rule to SOLVE this question, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' must be solved first, and in the bracket,

Step-2- Any mathematical 'Of' or 'Exponent' must be solved NEXT,

Step-3- Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4- Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is,

$(\left[ {\left( {1\frac{2}{3} + 5\frac{6}{2}} \right) \div 29} \right] \times \frac{9}{8} = \left( {12 \times 5\frac{1}{6}} \right) \times \frac{3}{{31}} - ?)$

⇒ [(5/3 + 16/2) ÷ 29] × 9/8 = (12 × 31/6) × 3/31 - ?

⇒ [(58/6 × 1/29)] × 9/8 = (12 × 31/6) × 3/31 - ?

⇒ 1/3 × 9/8 = (31 × 2) × 3/31 - ?

⇒ 3/8 = 6 - ?

⇒ ? = 6 – 3/8

Approximating the VALUES to the NEAREST integer:

81.49 ≈ 81, 8.88 ≈ 9 and 181.09 ≈ 182

12.77 ≈ 13, 43.74 ≈ 44 and 1.23 ≈ 1

⇒ (81.49 × 8.88 + 181.09) ÷ 12.77 = 43.74 + 1.23 × ?

⇒ (81 × 9 + 181) ÷ 13 = 44 + 1 × ?

⇒ (729 + 181) ÷ 13 = 44 + 1 × ?

⇒ 910 ÷ 13 = 44 + 1 × ?

⇒ 70 = 44 + 1 × ?

⇒ 1 × ? = 26

⇒ ? = 26 /1

Given expression:

Follow BODMAS rule to solve this question, as PER the order is given below,$

Step - 1 - $Parts of an equation ENCLOSED in 'Brackets' must be solved first,$

Step - 2 - $Any mathematical 'Of' or 'Exponent' must be solved next,$

Step - 3 - $Next, the parts of the equation that contains 'Division' and 'Multiplication' are calculated,$

Step - 4 - $Last but not least, the parts of the equation that contains 'Addition' and 'Subtraction' should be calculated.$

$(3\FRAC{6}{{17}} \div 2\frac{7}{{34}} - 1\frac{9}{{25}} = {\LEFT( ? \right)^2})$

$(\Rightarrow {\left( ? \right)^2} = \frac{{57}}{{17}} \div \frac{{75}}{{34}} - \frac{{34}}{{25}})$

$(\Rightarrow {\left( ? \right)^2} = \frac{{57}}{{17}} \times \frac{{34}}{{75}} - \frac{{34}}{{25}})$

$(\Rightarrow {\left( ? \right)^2} = \frac{{38}}{{25}} - \frac{{34}}{{25}} = \frac{4}{{25}})$

⇒ ? = 2/5 or -2/5

Hence, the required answer is 2/5.

3017.98 ÷ 2.97 - 29² = 10.92 × ?

APPROXIMATING the values to the nearest integer:

3018 ÷ 3 – 841 = 11 × (?) 

1006 – 841 = 11 × (?) 

165 = 11 × (?) 

? = 165/11

? = 15

FOLLOW BODMAS rule to solve this question, as per the order given below,

Step-1- Parts of an equation enclosed in 'Brackets' MUST be solved FIRST, and in the bracket, the BODMAS rule must be followed,

Step-2- Any MATHEMATICAL 'Of' or 'Exponent' must be solved next,

Step-3-Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step-4-Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Now, given expression :

⇒ 342 ÷ 6 × 28 = 1099 + ?

⇒ 57 × 28 = 1099 + ?

⇒ 1596 = 1099 + ?

⇒ ? = 1596 – 1099

The GIVEN EXPRESSION,

(12.51)⁴ = ?

We can WRITE the given VALUES as,

⇒ 12.51 ≈ 12.5

⇒ ? = 12.5⁴

⇒ ? = 24414.0625