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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,

⇒ 45% of 900 + (6.99 – 3.68) = ?

⇒ 405 + (7 – 4)= ?

⇒ 405 + 3 = ?

⇒ 408

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 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,

(360.97 ÷ 19) × 99.98 – (288.97 ÷ 17) × 99.98 = ?

We can write the given values as: 

360.97 ≈ 361, 99.98 ≈ 100, 288.97 ≈ 289

Approximating values in the given expression:

⇒ (361 ÷ 19) × 100 – (289 ÷ 17) × 100 = ?

⇒ 19 × 100 – 17 × 100 = ?

∴ ? = 100(19 – 17) = 200

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,

 (24 + 12) – 383 ÷ 25 × 2.5 + 12 = ?

⇒ ? = 36 – 38.3 + 12

$(\begin{array}{l}\left( {\frac{1}{3} \TIMES \frac{3}{5} \div \frac{4}{5} \times \frac{2}{3}} \right) + \left( {\frac{2}{7} \div \frac{3}{7}} \right) - \left( {\frac{4}{9} \times \frac{6}{8}} \right) = \;?\\ \RIGHTARROW \left( {\frac{1}{3} \times \frac{3}{5} \times \frac{5}{4} \times \frac{2}{3}} \right) + \left( {\frac{2}{7} \times \frac{7}{3}} \right) - \left( {\frac{4}{9} \times \frac{6}{8}} \right) = \;?\END{array})$

$(\begin{array}{l} \Rightarrow \frac{1}{6} + \frac{2}{3} - \frac{1}{3} = \;?\\ \Rightarrow \frac{5}{6} - \frac{1}{3} = \;?\end{array})$

⇒ 7299.6 × 35/21 + 2500.2 × 9/4 - 1266.3 = 45% of X

⇒ 12166 + 5625.45 - 1266.3 = .45 of X

⇒ 17791.45 - 1266.3 = .45X

⇒ 16525.15 = .45X

⇒ 16525.15/.45 = X

288.220 ÷ 15.99 × 1.0203 – 2.003 + 3.85% of 1299.879 = ?

Rewriting GIVEN question;

? = 288 ÷ 16 × 1 – 2 + 4% of 1300

⇒ ? = 18 – 2 + 4/100 × 1300

⇒ ? = 16 + 52

∴ ? = 68

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.

Now, the given expression,

383 ÷ 255 × 25.5 + 12 = ?

$(\begin{array}{L} \Rightarrow ? = 383 \times \frac{{25.5}}{{255}} + 12\\ \Rightarrow ? = \frac{{383}}{{10}} + 12 = 38.3 + 12 \end{array})$

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:

⇒ (4)³ + (9)³ – (11)² – ? = (24)²

⇒ 64 + 729 – 121 – ? = 576

⇒ 793 – 121 – ? = 576

⇒ 672 + ? = 576

⇒ ? = 672 – 576

24 × 26 + 154 × 146 – 384 ÷ 12 =?

Or, ? = 624 + 22484 – 32

= 23076

Or, we can CALCULATE it like following –

? = $(\left( {25 - 1} \right) \times \left( {25 + 1} \right) + \left( {150 + 4} \right) \times \left( {150 - 4} \right) - {{384} \over {12}})$

= (25)² – (1)² + (150)² – (4)² – 32

= 625 – 1 + 22500 – 16 – 32

= 23076

GIVEN EXPRESSION,

⇒ 6235 + 433 – 68 = ? + 1347

⇒ 6668 – 68 = ? + 1347

⇒ 6600 – 1347 = ?

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,

⇒ 5.4% of 800 + 4.2% of 600 = 64 + (? × 0.4)

$(\left( {5 \TIMES 2.4 - 3 \times 1.8} \right) + 10.4 = 0.34 \:\times \:?)$

⇒ 5.4 × 8 + 4.2 × 6 = 64 + (? × 0.4)

⇒ 43.2 + 25.2 = 64 + (? × 0.4)

⇒ 68.4 = 64 + (? × 0.4)

⇒ ? × 0.4 = 68.4 - 64

⇒ ? × 0.4 = 4.4

⇒ ? = 4.4/0.4 = 11

⇒ ? = 11

$(\frac{{{{\LEFT( {94.975} \RIGHT)}^2} - \;{{\left( {44.995} \right)}^2}}}{{49.95\; \TIMES \;34.98}} = ?)$

Take approximated values

⇒ 94.975 ≈ 95

⇒ 44.995 ≈ 45

⇒ 49.95 ≈ 50

⇒ 34.98 ≈ 35

Putting these values in the equation

$(\Rightarrow {\rm{}}\frac{{{{\left( {95} \right)}^2} - \;{{\left( {45} \right)}^2}}}{{50\; \times \;35}})$

⇒ (95)² – (45)² = (95 – 45) × (95 + 45) [? a² – B² = (a + b)(a – b)]

$(\Rightarrow {\rm{}}\frac{{\left( {95{\rm{\;}}-{\rm{\;}}45} \right){\rm{\;}} \times {\rm{\;}}\left( {95{\rm{\;}} + {\rm{\;}}45} \right)}}{{50\; \times \;35}}{\rm{}} = {\rm{}}\frac{{50{\rm{\;}} \times {\rm{\;}}140}}{{\left( {50{\rm{\;}} \times {\rm{\;}}35} \right)}}{\rm{}} = {\rm{}}4)$

We can write following VALUES as :

97.66 ≈ 98, 3.94 ≈ 4 and 4.14 ≈ 4

2.90 ≈ 3, 44.80 ≈ 45 and 185.91 ≈ 186 and 3.01 ≈ 3

Given expression is,

⇒ (97.66 × 3.94 + 4.14) ÷ 2.90 + 44.80 = 185.91 + 3.01 × ?

⇒ (98 × 4 + 4) ÷ 3 + 45 = 186 + 3 × ?

⇒ (392 + 4) ÷ 3 + 45 = 186 + 3 × ?

⇒ 396 ÷ 3+ 45 = 186 + 3 × ?

⇒ 132 + 45 = 186 + 3 × ?

⇒ 177 = 186 + 3 × ?

⇒ ? × 3 = 177 - 186

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

Step - 1 - steps 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.

Now, the given EXPRESSION:

⇒ 27 + 2 × (35 - 18) + 168 ÷ (5 + 2) - (9)² = ? - 2

⇒ 27 + 2 × 17 + 168 ÷ 7 - 81 = ? - 2

⇒ 27 + 2 × 17 + 24 - 81 = ? - 2

⇒ 27 + 34 + 24 - 81 = ? - 2

⇒ ? - 2 = 85 - 81

⇒ ? - 2 = 4

⇒ ? = 6

Using laws of Indices:

(a)^m × (a)ⁿ = a^{(m + n)}

(a)^m ÷ (a)ⁿ = a^{(m - n)}

(a^m)ⁿ = (a)^mn

(a)^(-m) = 1/a^m

(a)⁰ = 1

(a)^1/m = ^m√a

Given expression is,

⇒ 14 × 50 ÷ 70 × 2⁴ = 5 × 2⁸ ÷ ?

⇒ 50 ÷ 5 × 2⁴ = 5 × 2⁸ ÷ ?

⇒ 10 × 2⁴ = 5 × 2⁸ ÷ ?

⇒ 5 × 2 × 2⁴ = 5 × 2⁸ ÷ ?

⇒ 2⁵ = 2⁸ ÷ ?

⇒ ? = 2⁸ ÷ 2⁵

⇒ ? = 2^{8 – 5}

⇒ ? = 2³

Rules of Approximation:

1. If a number has digits to the right of the decimal LESS than 5, then just drop the digits to the right of the decimal. The number HENCE obtained will be the approximated value.

2. If a number has digits to the right of the decimal more than 5, then just drop the digits to the right of the decimal and RAISE the remaining number by '1'.The number hence obtained will be the approximated value.

Using the same approach we will solve the given expression:

5432.8777 − 3185.992 − 2141.685 + 4876.418 ÷ 203.184

= 5433 − 3186 − 2142 + 4876 ÷ 203

= (5433 + 24) − (3186 + 2142)

= 5457 − 5328

= 129

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.

Now, the given expression,

$(\begin{array}{l} \sqrt[3]{?} = \LEFT( {36 \times 24} \right) \div 54\\ \Rightarrow \;\sqrt[3]{?} = \left( {864} \right) \div 54\\ \Rightarrow \;\sqrt[3]{?} = 16 \end{array})$

1/12.12 × 4116.23 + 7/15 × 945.33 + 200% of 1 = ? + 339

It can be approximated as

⇒ 1/12 × 4116 + 7/15 × 945 + 2 = ? + 339

⇒ 343 + (7*63) + 2 = ? + 339

⇒ 343 + 441 + 2 = ? + 339

⇒ 786 = ? + 339

⇒ ? = 786 – 339

The GIVEN expression is,

66.78 + (9.084)^1/2 + ? = 52.314 + (8.041)²

We Can write above VALUES as,

66.78 ≈ 67, 9.084 ≈ 9

52.314 ≈ 52 and 8.041 ≈ 8

Then,

⇒ 67 + 9^1/2 + ? = 52 + 8²

⇒ 67 + 3 + ? = 52 + 64

⇒ 70 + ? = 116

66% of 546 - 43% of 439 = ?$

0.66 × 546 - 0.43 × 439 = ?

360.36 - 188.77 = ?

? = 171.59

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,

? % of [50% of {40% of (30% of 12000)}] = 250% of 80

⇒ ? % of [50% of {40% of (30/100 × 12000)}] = 250% of 80

⇒ ? % of [50% of {40/100 × 3600}] = 250% of 80

⇒ ? % of [50/100 × 1440] = 250% of 80

⇒ ? % of 720 = 250% of 80

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

⇒ ?/100 × 720 = 250/100 × 80

⇒ ? = 200 × 100/720

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,

⇒ 77.11 + 0.8 × 4.25 + 1 = ?

⇒ 77.11 + 1 × 4 + 1 = ?

⇒ 77 + 4 + 1 = ?

⇒ 82 = ?

Now, the GIVEN expression,

⇒ 52 – 48 + 16 × $13 ÷ 52 = ?

⇒ ? = 52 – 48 + 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,

⇒ (736 ÷ 46) × (612 ÷ 51) = 44 × ? - 183 × 4

⇒ (16) × (12) = 44 × ? - 183 × 4

⇒ 192 = 44 × ? - 183 × 4

⇒ 192 = 44 × ? - 732

⇒ 192 + 732 = 44 × ?

⇒ 924 = 44 × ?

⇒ ? = 924 /44

$(\frac{3}{5} \times 1\frac{1}{9} \times 318 = ?)$

⇒ $(\frac{3}{5} \times \frac{10}{9} \times 318 = ?)$

⇒? $(?= \frac{636}{3} = 212)$

Given expression is,

182.20 + 77.80 - 70.89 = 18.75 × 8.88 + ?

We can write the given values as:

182.20 ≈ 182 and 77.80 ≈ 78

70.89 ≈ 71 and 18.75 ≈ 19 and 8.88 ≈ 9

Then,

⇒ 182 + 78 - 71 = 19 × 9 + ?

⇒ 182 + 78 - 71 = 171 + ?

⇒ 260 - 71 = 171 + ?

⇒ 189 = 171 + ?

⇒ ? = 189 - 171

Using APPROXIMATION,

$(\SQRT {5089} - \sqrt {2641} \; + \;\sqrt {1186} \APPROX \sqrt {4900} - \sqrt {2500} \; + \;\sqrt {900} \; = \;70 - 50\; + \;30\; = \;50)$

(16)^8.5 × (4)^7.5 ÷ (256)^-3 = 4^?

⇒ (4)¹⁷ × (4)^7.5 ÷ (4)^-12 = 4^?

⇒ (4)^{17 + 7.5} ÷ (4)^-12 = 4^?

⇒ (4)^24.5-(-12) = 4^?

First of all we round the decimals to nearest whole NUMBERS and Non-perfect Square to the nearest perfect squared NUMBER. After that we APPLY BODMAS rule.

Also we know that √2 = 1.414 and √3 = 1.732

$(\begin{array}{l} {\left\{ {{{\left( {1.732} \RIGHT)}^2} + {{\left( {1.414} \right)}^2}} \right\}^2} = \left( {\SQRT {2024} \div 2.999} \right) + ?\\ \Rightarrow {\left\{ {{{\left( {\sqrt 3 } \right)}^2} + {{\left( {\sqrt 2 } \right)}^2}} \right\}^2} = \left( {\sqrt {2025} \div 3} \right) + ? \end{array})$

⇒ (3 + 2)² = (45 ÷ 3) + ?

⇒ ? = 25 - 15 = 10

⇒ $({19.78^2} - {8.78^2} + {14.23^2} - 18.79 = ?)$

⇒ $({20^2} - {9^2} + {14^2} - 19 = ?)$

⇒ $({\RM{\;}}400 - 81 + 196 - 19 = ?)$

⇒ 496 = ?

(2.33 + 33.33)² + (1.06 + 0.04)² – 2 × 2.33 × 33.33 + (33.33%)² × 99 = ?

⇒ (2.33)² + (33.33)² + 2 × 2.33 × 33.33 + (1.1)² – 2 × 2.33 × 33.33 + 1/9 × 99 = ?

⇒ (2.33)² + (33.33)² + 1.21 + 11 = ?

This can be APPROXIMATE as

⇒ (2.3)² + (33)² + 1.21 + 11 = ?

⇒ 5.29 + 1089 + 1.21 + 11 = ?

Rules of Approximation:

1. If a NUMBER has digits to the right of the decimal LESS than 5, then just drop the digits to the right of the decimal. The number hence OBTAINED will be the approximated value.

2. If a number has digits to the right of the decimal more than 5, then just drop the digits to the right of the decimal and RAISE the remaining number by '1'.The number hence obtained will be the approximated value.

Using the same approach we will solve the given expression:

(11.80)³ − (24.01)² + 44.20

= (12)³ − (24)² + 44.20

= 1728 − 576 + 44

= 1196 ≈1200

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,

⇒ (1012 ÷ 23) + (1128 ÷ 3) = 210 + 7 × ?

⇒ (44) + (376) = 210 + 7 × ?

⇒ 420 = 210 + 7 × ?

⇒ 420 – 210 = 7 × ?

⇒ 210 = 7 × ?

⇒ ? = 30

APPROXIMATING VALUES and then USING BODMAS:

29.88% of 5103 - (17.48)² + (32.52)² = ?

= 0.2988 × 5103 - (17.48)² + (32.52)²

= 0.3 × 5103 - {(17.48)² - (32.52)²}

= 1530.9 - (17.48 - 32.52)(17.48 + 32.52)

= 1531 - (-15.04)(50)

= 1531 + 752

= 2283

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

Step - 1 - steps 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.

Now, the given expression:

⇒ 25 × 3 - 7 × 1/2 of 16 - {49 ÷ (5 + 2) = ?

⇒ 25 × 3 - 7 × 1/2 of 16 - {49 ÷ 7} = ?

⇒ 25 × 3 - 7 × 1/2 of 16 - 7 = ?

⇒ 25 × 3 - 7 × 8 - 7 = ?

⇒ 75 - 56 - 7 = ?

⇒ 19 - 7 = ?

⇒ ? = 12

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

82$ + (72$ - 40) × 5 = ?

⇒ ? = 64 + (49 - 40) × 5

⇒ ? = 64 + 45

⇒ ? = 109

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,

78% of √518400 ÷ 2.34 = ? × 1.5

⇒ 78% of 720 ÷ 2.34 = ? × 1.5

⇒ (0.78 × 720)/2.34 = ? × 1.5

⇒ 561.6/2.34 = ? × 1.5

⇒ ? = 240/1.5

Given expression is,

⇒ 160% of 570 + 270% of 690 =?

$(\Rightarrow \left( {\FRAC{{160}}{{100}} \times 570} \RIGHT) + \left( {\frac{{270}}{{100}} \times 690} \right) = ?)$

⇒ 91200/100 + 186300/100 = ?

⇒ 912 + 1863 = ?

Given expression:

(682% of 782) ÷ 856 = ?

$(\begin{array}{l} \RIGHTARROW \frac{{682}}{{100}} \TIMES 782 \div 856 = ?\\ \Rightarrow \frac{{682}}{{100}} \times 782 \times \frac{1}{{856}} = ?\\ \Rightarrow \frac{{533324}}{{85600}} = ?\end{array})$

⇒ 6.23 = ?

Approximating to nearest option

⇒ 6 + 1² = 6 + 1 = 7

⇒ 7 + 2³ = 7 + 8 = 15

⇒ 15 + 3² = 15 + 9 = 24

⇒ 24 + 4³ = 24 + 64 = 88

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 ‘Divison’ 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:

16.75 - [2.25 + {1.28 + (7.43 - (6.02 - 0.23))}]

= 16.75 - [2.25 + {1.28 + (7.43 - 5.79)}]

= 16.75 - [2.25 + {1.28 + 1.64}]

= 16.75 - [2.25 + 2.92]

= 16.75 - 5.17

= 11.58

42.005% of 349.999 = ?

Here, 42.005 ≈ 42

And 349.999 ≈ 350

Now, the GIVEN EXPRESSION will BECOME:

? ≈ 42% of 350

⇒ ? ≈ (42/100) × 350

⇒ ? ≈ 147

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.

$(\begin{array}{l} \Rightarrow \left( {\frac{{18.49 - 9.81}}{{1849 - 981}}} \right) \DIV \left( {\frac{{184.9 - 98.1}}{{0.1849 - 0.0981}}} \right) = \;?\\ \Rightarrow \left( {\frac{{8.68}}{{868}}} \right) \div \left( {\frac{{86.8}}{{0.0868}}} \right) = ?\\ \Rightarrow \left( {\frac{{868 \times 0.01}}{{868}}} \right) \div \left( {\frac{{\left( {868 \times 0.1} \right)}}{{\left( {868 \times 0.0001} \right)}}} \right) = ?\\ \Rightarrow \left( {0.01} \right) \times \frac{{0.0001}}{{0.1}} = ? \end{array})$

⇒ ? = 10^-2 × 10^-4 × 10

⇒ ? = 10^-5 

⇒ 72% of 650 - 28% of 475 = 77% of 600 - ?

⇒ (72/100) × 650 - (28/100) × 475 = (77/100) × 600 - ?

⇒ 18 × 26 - 7 × 19 = 77 × 6 - ?

⇒ 468 - 133 = 462 - ?

⇒ 335 = 462 - ?

⇒ ? = 462 - 335

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.

We can write the given VALUES as:

1564.666 ≈ 1565

82.5091 ≈ 82.5

44.581 ≈ 44.6

1034.111 ≈ 1034

Now, the given expression:

1564.666 + 82.5091 × 44.581 – 1034.111 = ?

⇒ ? ≈ 1565 + 82.5 × 44.6 – 1034

⇒ ? ≈ 1565 + 3679.5 – 1034

135% of 480 + ? % of 320 = 728$

1.35 $× 480 + (?/100) × 320 = 728

648 + ? × 3.2 = 728

? × 3.2 = 80

? = 25

Given expression,

3.2% of 500 × 2.5% of ? = 320

$(\begin{array}{L} \Rightarrow \LEFT( {\frac{{3.2}}{{100}} \times 500} \RIGHT) \times \left( {\frac{{2.5}}{{100}} \times ?} \right) = 320\\ \Rightarrow 16 \times \left( {\frac{{2.5}}{{100}} \times ?} \right) = 320\\ \Rightarrow \left( {\frac{{2.5}}{{100}} \times ?} \right) = \frac{{320}}{{16}}\\ \Rightarrow \left( {\frac{{2.5}}{{100}} \times ?} \right) = 20\\ \Rightarrow \;? = \frac{{20}}{{2.5}} \times 100 \end{array})$

⇒ ? = 800

Follow these BODMAS RULES to solve the question

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.

⇒ 25 × 625 ÷ 125 = 500 × 2² ÷ ?

⇒ 5² × 5⁴ ÷ 5³ = 5 × 100 × 2² ÷ ?

⇒ 5² × 5⁴ ÷ 5³ = 5 × 25 × 4 × 2² ÷ ?

⇒ 5² × 5⁴ ÷ 5³ = 5 × 5² × 2² × 2² ÷ ?

⇒ 5^{(2 + 4 – 3)} = 5^{(1 + 2)} × 2⁴ ÷ ?

⇒ 5³ = 5³ × 2⁴ ÷ ?

⇒ ? = 2⁴

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:

⇒ √7056 + 13 × 24 – 1157 ÷ 13 = ?

⇒ 84 + 13 × 24 – 1157 ÷ 13 = ?

⇒ 84 + 13 × 24 – 89 = ?

⇒ 84 + 312 – 89 = ?

⇒ 84 + 312 – 89 = ?

⇒ 396 – 89 = ?

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,

$(\BEGIN{array}{l} \frac{{\frac{1}{3} \times 24 \DIV 4}}{{\frac{1}{4} \times 30 \div 5}} = ?\\ \Rightarrow \frac{{\frac{1}{3} \times 6}}{{\frac{1}{4} \times 6}} = ?\\ \Rightarrow ? = \frac{4}{3} \end{array})$